[go: up one dir, main page]

CN108760487A - Deep cavern country rock subregion failure evolvement analysis method based on rockbolt stress analysis - Google Patents

Deep cavern country rock subregion failure evolvement analysis method based on rockbolt stress analysis Download PDF

Info

Publication number
CN108760487A
CN108760487A CN201810338691.4A CN201810338691A CN108760487A CN 108760487 A CN108760487 A CN 108760487A CN 201810338691 A CN201810338691 A CN 201810338691A CN 108760487 A CN108760487 A CN 108760487A
Authority
CN
China
Prior art keywords
surrounding rock
cavern
partition
zone
fracture
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Pending
Application number
CN201810338691.4A
Other languages
Chinese (zh)
Inventor
于远祥
陈宝平
刘静
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Xian University of Science and Technology
Original Assignee
Xian University of Science and Technology
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Xian University of Science and Technology filed Critical Xian University of Science and Technology
Priority to CN201810338691.4A priority Critical patent/CN108760487A/en
Publication of CN108760487A publication Critical patent/CN108760487A/en
Pending legal-status Critical Current

Links

Classifications

    • GPHYSICS
    • G01MEASURING; TESTING
    • G01NINVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N3/00Investigating strength properties of solid materials by application of mechanical stress
    • G01N3/08Investigating strength properties of solid materials by application of mechanical stress by applying steady tensile or compressive forces
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01NINVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N2203/00Investigating strength properties of solid materials by application of mechanical stress
    • G01N2203/0058Kind of property studied
    • G01N2203/006Crack, flaws, fracture or rupture

Landscapes

  • Physics & Mathematics (AREA)
  • Health & Medical Sciences (AREA)
  • Life Sciences & Earth Sciences (AREA)
  • Chemical & Material Sciences (AREA)
  • Analytical Chemistry (AREA)
  • Biochemistry (AREA)
  • General Health & Medical Sciences (AREA)
  • General Physics & Mathematics (AREA)
  • Immunology (AREA)
  • Pathology (AREA)
  • Excavating Of Shafts Or Tunnels (AREA)

Abstract

The invention discloses a kind of deep cavern country rock subregion failure evolvement analysis methods based on rockbolt stress analysis, including step:Step 1: cavern excavation:Current constructed cavern is excavated;Step 2: country rock basic mechanical parameter determines:The country rock basic mechanical parameter of current constructed cavern is tested;Step 3: country rock subregion failure evolvement is analyzed:According to identified country rock basic mechanical parameter in step 2, the analysis of country rock subregion failure evolvement is carried out to current constructed cavern, and according to analysis result to the quantity M of existing rupture zone and the thickness of each rupture zone are determined respectively on current constructed surrounding rock of chamber after the completion of excavating.Step of the present invention is simple, reasonable design and realization are convenient, using effect is good, the rupture zone quantity on the outside of current constructed cavern and thickness and the position of each rupture zone can be obtained by the analysis of country rock subregion failure evolvement, and reliable basis is provided for follow-up cavern excavation and surrounding rock supporting.

Description

基于锚杆受力分析的深埋洞室围岩分区破裂演化分析方法Fracture evolution analysis method of surrounding rock in deep-buried caverns based on force analysis of bolts

技术领域technical field

本发明属于地下洞室施工技术领域,尤其是涉及一种基于锚杆受力分析的深埋洞室围岩分区破裂演化分析方法。The invention belongs to the technical field of underground cavern construction, and in particular relates to a method for analyzing the regional fracture evolution of the surrounding rock of a deeply buried cavern based on the stress analysis of bolts.

背景技术Background technique

地下洞室不仅仅为交通、水电、矿等使用,而且现代已为地下城市建设、冷藏、储油、储水、环境工程及国防工程等广泛使用,洞室可分为过水的(如引水隧洞)和不过水的(如交通隧洞)两大类。深埋洞室(也称深埋地下洞室)是指埋设大于50m的地下洞室。Underground caverns are not only used for transportation, hydropower, mines, etc., but also have been widely used in modern underground city construction, refrigeration, oil storage, water storage, environmental engineering and national defense projects. The caverns can be divided into water-passing (such as water diversion) Tunnels) and non-water (such as traffic tunnels) two categories. Deep buried caverns (also known as deeply buried underground caverns) refer to underground caverns buried greater than 50m.

近年来,随着人们对地下空间与资源需求量的急剧增加,深部岩体工程不断增多。据不完全统计,国外开采深度超过1000m的金属矿山已达上百座;我国多个矿井开采深度已超过1000m,在今后的10年~20年内,国内多数矿山将进入1000m~2000m的开采深度。同时,国内外正在或计划修建大量的深埋地下洞室工程,如山岭交通隧道、大型水电工程引水隧道、核废料深层处置井、石油战备储存工程等。这些深部岩体工程都面临高地应力、高地温、高孔隙水压的复杂地质环境,表现出不同于浅部岩体的显著非线性变形与破坏特征,如分区破裂、剧烈岩爆、围岩挤压大变形等。其中,围岩分区破裂使得深埋洞室在开挖与支护过程中面临着诸多亟待解决的世界性技术难题,并由此成为深部岩体工程领域研究的热点和难点之一。In recent years, with the sharp increase in people's demand for underground space and resources, deep rock mass engineering has continued to increase. According to incomplete statistics, there are hundreds of metal mines with a mining depth of more than 1000m in foreign countries; the mining depth of many mines in my country has exceeded 1000m, and in the next 10 to 20 years, most domestic mines will enter the mining depth of 1000m to 2000m. At the same time, a large number of deep underground cavern projects are being or planned to be built at home and abroad, such as mountain traffic tunnels, water diversion tunnels for large hydropower projects, deep disposal wells for nuclear waste, and oil storage projects for combat readiness. These deep rock mass projects are all faced with complex geological environments of high ground stress, high ground temperature, and high pore water pressure, showing significant nonlinear deformation and failure characteristics different from shallow rock mass, such as zonal rupture, violent rockburst, and surrounding rock squeeze. Compression deformation, etc. Among them, the zonal rupture of the surrounding rock makes the deep buried caverns face many worldwide technical problems that need to be solved urgently in the process of excavation and support, and thus becomes one of the hot spots and difficulties in the field of deep rock mass engineering research.

分区破裂是在深埋洞室围岩中破裂区与非破裂区交替性产生的特殊地质现象。长期以来,人们通过理论推导、试验分析及数值模拟等手段对分区破裂机理进行了深入研究。早在上世纪80年代,E.I.Shemyakin利用电阻率仪在深部Маяк矿山发现了围岩“环带状破裂”现象,如图1所示。Zonal rupture is a special geological phenomenon that occurs alternately between ruptured and non-ruptured areas in the surrounding rock of deeply buried caverns. For a long time, people have carried out in-depth research on the partition rupture mechanism through theoretical derivation, experimental analysis and numerical simulation. As early as the 1980s, E.I. Shemyakin discovered the phenomenon of "ring-like fracture" of the surrounding rock in the deep Маяк mine by using a resistivity instrument, as shown in Figure 1.

G.D.Adams和A.J.Jager对南非Witwatersrand金矿2000m~3000m深处采场顶板的间隔破裂现象进行了钻孔窥视;D.F.Malan和S.M.Spottiswoode利用现场监测资料分析了采场顶板间隔破裂随时间和采矿活动的发展和形成,探讨了矿震与顶板分区破坏的关系;E.J.Sellers和P.Klerck对围岩中的不连续面对间隔破裂的影响进行了试验研究;M.B.Kypленя和B.H.Oпapин给出了适用于特定矿区的围岩破裂区半径及厚度计算公式;I.S.Metlov等利用非平衡热动力学方程分析了分区破裂的物理基础,并进行了计算机模拟;G.R.Adams和A.J.Jager指出,只要满足条件,巷道围岩都会产生分区破裂现象,但裂缝形成原因尚未得到理论解释;E.И.Шемякин认为围岩分区破裂不是钻爆施工扰动所致,而是由于巷道周围应力场改变;курлeня研究了围岩分区破裂的时间效应,提出初始应力值对巷道周边位移速度具有重要影响,该速度是围岩卸荷产生的位移速度。G.D.Adams and A.J.Jager conducted a drilling survey on the interval rupture phenomenon of the stope roof at a depth of 2000m to 3000m in the Witwatersrand gold mine in South Africa; D.F.Malan and S.M.Spottiswoode used field monitoring data to analyze the interval rupture of the stope roof over time and mining activities. Development and formation, explored the relationship between mine earthquakes and roof partition damage; E.J.Sellers and P.Klerck conducted experimental research on the impact of discontinuities in surrounding rocks on spaced ruptures; M.B.Kypленя and B.H.Oпapин gave the applicable The formula for calculating the radius and thickness of the surrounding rock rupture area in the mining area; I.S.Metlov et al. analyzed the physical basis of the partition rupture by using the non-equilibrium thermodynamic equation, and carried out computer simulation; G.R.Adams and A.J.Jager pointed out that as long as the conditions are met, the roadway surrounding rock Partition fractures will occur, but the reason for the formation of cracks has not yet been theoretically explained; E.И.Шемякин believes that the partition rupture of the surrounding rock is not caused by the disturbance of drilling and blasting construction, but is due to the change of the stress field around the roadway; Based on the time effect, it is proposed that the initial stress value has an important influence on the displacement velocity around the roadway, which is the displacement velocity caused by the unloading of the surrounding rock.

在国内,钱七虎首次在国内提出“分区破裂化”这一概念,分析了分区破裂的产生条件、主要特征及变化规律;唐春安等运用RFPA数值软件研究了岩体间隔破裂机制及演化规律;李术才,许宏发等通过对淮南丁集矿深埋巷道围岩的现场监测,提出了分区破裂半径与巷道开挖半径的解析关系;周小平等研究了深埋球形硐室围岩破裂区与非破裂区的宽度和数量;陈建功等轴对称应力场下硐室开挖瞬间围岩径向应力场的动力学理论解,指出分区各破裂区半径存在等比关系;鲁建荣基于厚壁筒三维线弹性解析模型,探讨了水平应力和轴向压力对围岩分区破裂的作用机制;左宇军等研究了动、静组合条件下深部巷道围岩分区破裂的力学机制;陈旭光探讨了高地应力下围岩分区破裂的形成机制和锚固特性;王学滨等基于加荷和卸荷模型模拟了深部巷道围岩的分区破坏,认为卸荷模型更贴近工程实际;顾金才,张绪涛等对深部洞室围岩分区破裂进行了模型试验研究。In China, Qian Qihu put forward the concept of "regional rupture" for the first time in China, and analyzed the conditions, main characteristics and changing laws of regional rupture; Tang Chun'an and others used RFPA numerical software to study the mechanism and evolution law of rock mass interval rupture; Li Shucai, Xu Hongfa and others put forward the analytical relationship between the zonal rupture radius and the excavation radius of the roadway through on-site monitoring of the surrounding rock of the deep-buried roadway in Dingji Mine in Huainan; The width and quantity of the width and quantity; Chen Jiangong’s dynamic theoretical solution of the radial stress field of the surrounding rock at the moment of chamber excavation under the equiaxially symmetrical stress field, pointed out that there is an equiproportional relationship between the radii of each rupture zone in the partition; Lu Jianrong based on the three-dimensional linear elasticity of thick-walled cylinder Analytical model, discussing the mechanism of horizontal stress and axial pressure on the regional fracture of surrounding rock; Zuo Yujun et al. studied the mechanical mechanism of regional fracture of surrounding rock in deep roadway under the combination of dynamic and static conditions; Chen Xuguang discussed the surrounding rock under high ground stress. The formation mechanism and anchorage characteristics of rock partition fracture; Wang Xuebin et al. simulated the partition failure of deep roadway surrounding rock based on the loading and unloading model, and believed that the unloading model is closer to the actual engineering; Gu Jincai, Zhang Xutao et al. A model test study was carried out.

综上所述,国内外专家对深部围岩分区破裂的研究取得了一系列的研究成果,但由于深部岩体工程所处环境及其自身变形的高度复杂性,目前关于围岩分区破裂的研究尚处于初级阶段,尤其在确定围岩破裂区厚度及数量方面的研究成果较少。To sum up, experts at home and abroad have achieved a series of research results on the zonal rupture of deep surrounding rocks. It is still in its infancy, especially in determining the thickness and quantity of the surrounding rock fracture area.

发明内容Contents of the invention

本发明所要解决的技术问题在于针对上述现有技术中的不足,提供一种基于锚杆受力分析的深埋洞室围岩分区破裂演化分析方法,其步骤简单、设计合理且实现方便、使用效果好,通过围岩分区破裂演化分析能得出当前所施工洞室外侧的破裂区数量以及各破裂区的厚度和位置,为后续洞室开挖及围岩支护提供可靠依据。The technical problem to be solved by the present invention is to provide a method for analyzing the fracture evolution of the surrounding rock in deep caverns based on the stress analysis of bolts in view of the deficiencies in the above-mentioned prior art. The effect is good. Through the analysis of the fracture evolution of surrounding rock partitions, the number of fractured areas outside the currently constructed cavern as well as the thickness and location of each fractured area can be obtained, which provides a reliable basis for subsequent cavern excavation and surrounding rock support.

为解决上述技术问题,本发明采用的技术方案是:一种基于锚杆受力分析的深埋洞室围岩分区破裂演化分析方法,其特征在于,该方法包括以下步骤:In order to solve the above-mentioned technical problems, the technical solution adopted by the present invention is: a method for analyzing the fracture evolution of the surrounding rock of a deep-buried cavern based on the force analysis of the bolt, which is characterized in that the method includes the following steps:

步骤一、洞室开挖:对当前所施工洞室进行开挖;Step 1, cavern excavation: excavate the cavern currently under construction;

步骤二、围岩基本力学参数确定:通过对现场所取岩样进行室内试验,对当前所施工洞室的围岩基本力学参数进行测试,并对测试结果进行同步记录;Step 2. Determination of the basic mechanical parameters of the surrounding rock: the basic mechanical parameters of the surrounding rock of the currently constructed cavern are tested through indoor tests on the rock samples taken from the site, and the test results are recorded synchronously;

步骤三、围岩分区破裂演化分析:根据步骤二中所确定的围岩基本力学参数,对当前所施工洞室进行围岩分区破裂演化分析,并根据分析结果对开挖完成后当前所施工洞室围岩上所存在破裂区的数量M和各破裂区的厚度分别进行确定;其中,M为整数且M≥0;当M=0时,说明当前所施工洞室围岩上不存在破裂区;Step 3. Fracture evolution analysis of surrounding rock partitions: According to the basic mechanical parameters of the surrounding rock determined in step 2, analyze the fracture evolution of the surrounding rock partitions for the currently constructed cavern, and analyze the current construction tunnel after the excavation is completed according to the analysis results. The number M of rupture zones existing on the surrounding rock of the chamber and the thickness of each rupture zone are determined respectively; where M is an integer and M≥0; when M=0, it means that there is no rupture zone on the surrounding rock of the currently constructed cavern ;

对当前所施工洞室进行围岩分区破裂演化分析时,将当前所施工洞室围岩从内至外划分为多个围岩分区,并从内至外对多个所述围岩分区分别进行破裂分析,过程如下:When analyzing the fracture evolution of surrounding rock partitions for the currently constructed caverns, the surrounding rocks of the currently constructed caverns are divided into multiple surrounding rock partitions from the inside to the outside, and the multiple surrounding rock partitions are analyzed from the inside to the outside. Fracture analysis, the process is as follows:

步骤301、第一个围岩分区破裂分析:对当前所施工洞室外侧的第一个围岩分区进行破裂分析,包括以下步骤:Step 301. Fracture analysis of the first surrounding rock partition: performing a fracture analysis on the first surrounding rock partition outside the currently constructed cavern, including the following steps:

步骤3011、第一个围岩分区厚度确定:根据公式 计算得出第一个围岩分区厚度l0,l0的单位为m;式(Ⅰ)中,R0为当前所施工洞室的等效开挖半径且其单位为m;ρ0为第一个围岩分区内所述锚杆的中性点半径与当前所施工洞室的等效开挖半径之和,第一个围岩分区内所述锚杆的中性点半径为第一个围岩分区内所述锚杆前端与中性点的间距;其中U为对当前所施工洞室进行支护时所采用锚杆的横截面周长且其单位为m,A为所述锚杆的横截面面积且其单位m2,Eb为所述锚杆的弹性模量且其单位为Pa,K为所述锚杆杆体单位长度上的剪切刚度系数且其单位为Pa/m;Step 3011, determining the thickness of the first surrounding rock partition: according to the formula The thickness of the first surrounding rock partition is calculated l 0 , and the unit of l 0 is m ; The sum of the neutral point radius of the bolt in a surrounding rock partition and the equivalent excavation radius of the currently constructed cavern, the neutral point radius of the bolt in the first surrounding rock partition is the first The distance between the front end of the bolt and the neutral point in the surrounding rock partition; in U is the perimeter of the cross-section of the anchor used to support the cavern currently under construction, and its unit is m, A is the cross-sectional area of the anchor, and its unit is m 2 , E b is the anchor The modulus of elasticity and its unit is Pa, K is the shear stiffness coefficient on the unit length of the anchor rod body and its unit is Pa/m;

步骤3012、破裂确定:对|σr0-μ(σθ0z0)|与|σt|进行差值比较,并根据差值比较结果对第一个围岩分区是否存在破裂进行判断:当|σr0-μ(σθ0z0)|≥|σt|时,判断为第一个围岩分区存在破裂且此时第一个围岩分区为破裂围岩分区,进入步骤3013;否则,判断为当前所施工洞室围岩上不存在破裂区且M=0,完成当前所施工洞室的围岩分区破裂演化分析过程;Step 3012, determination of fracture: compare the difference between |σ r0 θ0z0 )| When |σ r0 -μ(σ θ0z0 )|≥|σ t |, it is judged that there is a fracture in the first surrounding rock partition and at this time the first surrounding rock partition is a fractured surrounding rock partition, and go to step 3013; otherwise , it is judged that there is no fracture zone on the surrounding rock of the currently constructed cavern and M=0, and the analysis process of the regional fracture evolution of the surrounding rock of the currently constructed cavern is completed;

所述破裂围岩分区划分为一个破裂区和一个位于所述破裂区外侧的非破裂区;The cracked surrounding rock partition is divided into a cracked zone and a non-cracked zone located outside the cracked zone;

其中,|σt|为σt的绝对值,σt为当前所施工洞室围岩的抗拉强度且其单位为Pa,其中m为与当前所施工洞室围岩的岩石类型和完整性有关的系数且m=0.001~25,s为当前所施工洞室围岩的岩体完整性系数,σc为当前所施工洞室围岩岩体的单轴抗压强度且其单位为Pa;Among them, |σ t | is the absolute value of σ t , and σ t is the tensile strength of the surrounding rock of the currently constructed cavern, and its unit is Pa, Among them, m is the coefficient related to the rock type and integrity of the surrounding rock of the currently constructed cavern and m=0.001~25, s is the rock mass integrity coefficient of the surrounding rock of the currently constructed cavern, and σ c is the current construction cavern The uniaxial compressive strength of the rock mass surrounding the chamber and its unit is Pa;

r0-μ(σθ0z0)|为σr0-μ(σθ0z0)的绝对值;r0 -μ(σ θ0z0 )| is the absolute value of σ r0 -μ(σ θ0z0 );

其中,μ为当前所施工洞室围岩岩体的泊松比,σr0为第一个围岩分区弹塑性边界处的岩体在支撑压力峰值作用下的径向应力且其单位为Pa;Among them, μ is the Poisson’s ratio of the surrounding rock mass of the cavern currently under construction, σ r0 is the radial stress of the rock mass at the elastic-plastic boundary of the first surrounding rock partition under the peak support pressure, and its unit is Pa;

其中为当前所施工洞室围岩岩体的内摩擦角,P0'为第一个围岩分区弹塑性界面上的支撑反力;为第一个围岩分区内围岩塑性区的外径且c为当前所施工洞室围岩岩体的粘聚力且其单位为Pa;A0和t均为系数, 其中G为当前所施工洞室围岩岩体的剪切模量且其单位为Pa;b为支护系数,b为常数且0<b<1;为支护前当前所施工洞室表面围岩的位移值且其单位为m,rb0为第一个围岩分区内所述锚杆外端至当前所施工洞室中心的距离且rb0=l0+R0;Nmax0为第一个围岩分区内所述锚杆中性点处的锚杆所受最大轴力且B为与当前所施工洞室围岩变形相关的系数且Er为当前所施工洞室围岩岩体的综合弹性模量且其单位为Pa,P0为开挖前当前所施工洞室围岩岩体的原岩应力且其单位为Pa;Rp0为开挖后弹塑性条件下当前所施工洞室围岩的塑性区半径且其单位为m, in is the internal friction angle of the surrounding rock mass in the currently constructed cavern, and P 0 ' is the supporting reaction force on the elastic-plastic interface of the first surrounding rock partition; is the outer diameter of the plastic zone of the surrounding rock in the first surrounding rock division and c is the cohesion of the surrounding rock mass of the cavern currently under construction, and its unit is Pa; A 0 and t are coefficients, Among them, G is the shear modulus of the surrounding rock mass of the cavern currently under construction and its unit is Pa; b is the support coefficient, b is a constant and 0<b<1; is the displacement value of the surrounding rock on the surface of the currently constructed cavern before support and its unit is m, r b0 is the distance from the outer end of the bolt in the first surrounding rock partition to the center of the currently constructed cavern and r b0 = l 0 +R 0 ; N max0 is the maximum axial force on the bolt at the neutral point of the bolt in the first surrounding rock partition and B is the coefficient related to the deformation of the surrounding rock of the currently constructed cavern and E r is the comprehensive elastic modulus of the surrounding rock mass of the currently constructed cavern, and its unit is Pa; P 0 is the original rock stress of the surrounding rock mass of the currently constructed cavern before excavation, and its unit is Pa; R p0 is the plastic zone radius of the currently constructed cavern surrounding rock under elastic-plastic conditions after excavation, and its unit is m,

σθ0为第一个围岩分区内围岩弹塑性边界处的切向应力且σz0为第一个围岩分区内围岩弹塑性边界处的轴向应力且σz0=(1+2μ)P0,σθ0和σz0的单位均为Pa;σ θ0 is the tangential stress at the elastic-plastic boundary of the surrounding rock in the first surrounding rock partition and σ z0 is the axial stress at the elastic-plastic boundary of the surrounding rock in the first surrounding rock partition and σ z0 = (1+2μ)P 0 , the units of σ θ0 and σ z0 are both Pa;

步骤3013、第一个围岩分区内破裂区的厚度确定:根据公式 对第一个围岩分区内破裂区的厚度ds0进行确定;Step 3013, determine the thickness of the rupture zone in the first surrounding rock partition: according to the formula Determine the thickness d s0 of the rupture zone in the first surrounding rock subregion;

其中,为第一个围岩分区内破裂区的外径且第一个围岩分区内破裂区的内径 in, is the outer diameter of the fracture zone in the first surrounding rock partition and Inner diameter of the rupture zone in the first wall rock subdivision

步骤302、下一个围岩分区破裂分析:对当前所施工洞室外侧的下一个围岩分区进行破裂分析;本步骤中,进行破裂分析的围岩分区为当前所施工洞室外侧的第K个围岩分区,其中K为正整数且K≥2,K=k+1,k为正整数且k≥1;本步骤中,位于第K个围岩分区内侧的k个所述围岩分区均已完成破裂分析过程;Step 302, Fracture Analysis of the Next Surrounding Rock Partition: Perform a crack analysis on the next surrounding rock partition outside the currently constructed cavern; in this step, the surrounding rock partition for crack analysis is the Kth outside the currently constructed cavern Surrounding rock partition, wherein K is a positive integer and K≥2, K=k+1, k is a positive integer and k≥1; in this step, the k surrounding rock partitions located inside the Kth surrounding rock partition are all The fracture analysis process has been completed;

对第K个围岩分区进行破裂分析时,包括以下步骤:When performing fracture analysis on the Kth surrounding rock partition, the following steps are included:

步骤3021、第K个围岩分区厚度确定:根据公式计算得出第K个围岩分区厚度lk,lk的单位为m;Step 3021, determining the thickness of the Kth surrounding rock partition: according to the formula Calculate the thickness l k of the Kth surrounding rock partition, and the unit of l k is m;

式(Ⅲ)中,ρk为第K个围岩分区内所述锚杆的中性点半径与当前所施工洞室的等效开挖半径之和,第K个围岩分区内所述锚杆的中性点半径为第K个围岩分区内所述锚杆前端与中性点的间距;其中,Δlkz为位于第K个围岩分区内侧的k个所述围岩分区的分区厚度之和且其单位为m;In formula (Ⅲ), ρ k is the sum of the neutral point radius of the bolt in the Kth surrounding rock partition and the equivalent excavation radius of the cavern currently under construction, and the anchor in the Kth surrounding rock partition The neutral point radius of the rod is the distance between the front end of the anchor rod and the neutral point in the Kth surrounding rock partition; Wherein, Δl kz is the sum of the partition thicknesses of the k surrounding rock partitions located inside the K-th surrounding rock partition and its unit is m;

步骤3022、破裂确定:对|σrk-μ(σθkzk)|与|σt|进行差值比较,并根据差值比较结果对第K个围岩分区是否存在破裂进行判断:当|σrk-μ(σθkzk)|≥|σt|时,判断为第K个围岩分区存在破裂且此时第K个围岩分区为破裂围岩分区,进入步骤3023;否则,判断为第K个围岩分区上不存在破裂区且M=k,完成当前所施工洞室的围岩分区破裂演化分析过程;Step 3022, determination of fracture: compare the difference between |σ rk θkzk )| When |σ rk -μ(σ θkzk )|≥|σ t |, it is judged that there is a crack in the Kth surrounding rock partition and at this time the Kth surrounding rock partition is a fractured surrounding rock partition, and then go to step 3023; otherwise , it is judged that there is no fracture zone on the Kth surrounding rock partition and M=k, and the analysis process of the fracture evolution of the surrounding rock partition of the currently constructed cavern is completed;

其中,|σrk-μ(σθkzk)|为σrk-μ(σθkzk)的绝对值;Among them, |σ rk -μ(σ θkzk )| is the absolute value of σ rk -μ(σ θkzk );

σrk为第K个围岩分区弹塑性边界处的岩体在支撑压力峰值作用下的径向应力且其单位为Pa;Pk为第K个围岩分区内弹塑性界面上的支撑反力且其单位为Pa,τs为当前所施工洞室围岩的残余抗剪强度且其单位为Pa,为位于第K个围岩分区内侧且与第K个围岩分区相邻的第k个围岩分区内破裂区的外径,为第k个围岩分区内破裂区的内径;为第K个围岩分区内围岩塑性区的外径且Ak为系数且其中rbk为第K个围岩分区内破裂区厚度与当前所施工洞室的等效开挖半径之和且rbk=lk+R0;Nmaxk为第K个围岩分区内所述锚杆中性点处的锚杆所受最大轴力且 σ rk is the radial stress of the rock mass at the elastic-plastic boundary of the Kth surrounding rock partition under the action of the peak support pressure, and its unit is Pa; P k is the supporting reaction force on the elastic-plastic interface in the Kth surrounding rock partition and its unit is Pa, τ s is the residual shear strength of the surrounding rock of the currently constructed cavern and its unit is Pa, is the outer diameter of the rupture zone in the k-th surrounding rock zone located inside and adjacent to the K-th surrounding rock zone, is the inner diameter of the rupture zone in the kth surrounding rock partition; is the outer diameter of the plastic zone of the surrounding rock in the Kth surrounding rock partition and A k is the coefficient and Where r bk is the sum of the thickness of the rupture zone in the Kth surrounding rock subregion and the equivalent excavation radius of the currently constructed cavern and r bk = l k + R 0 ; N maxk is the sum of the Kth surrounding rock subregion The maximum axial force on the anchor rod at the neutral point of the anchor rod and

σθk为第K个围岩分区内围岩弹塑性边界处的切向应力且σzk为第K个围岩分区内围岩弹塑性边界处的轴向应力且σzk=(1+2μ)P0,σθk和σzk的单位均为Pa;σ θk is the tangential stress at the elastic-plastic boundary of the surrounding rock in the Kth surrounding rock partition and σ zk is the axial stress at the elastic-plastic boundary of the surrounding rock in the Kth surrounding rock partition and σ zk =(1+2μ)P 0 , the unit of σ θk and σ zk is Pa;

步骤3023、第K个围岩分区内破裂区的厚度确定:根据公式对第K个围岩分区内破裂区的厚度dsk进行确定;Step 3023, determine the thickness of the rupture zone in the Kth surrounding rock partition: according to the formula Determining the thickness d sk of the rupture zone in the Kth surrounding rock partition;

其中,为第K个围岩分区内破裂区的外径且ΔRk=R0+Δlkz;第K个围岩分区内破裂区的内径 in, is the outer diameter of the fracture zone in the Kth surrounding rock partition and ΔR k =R 0 +Δl kz ; the inner diameter of the rupture zone in the Kth surrounding rock partition

步骤303、一次或多次重复步骤302,直至完成当前所施工洞室的围岩分区破裂演化分析过程。Step 303, repeating step 302 one or more times until the process of analyzing the fracture evolution of the surrounding rock partitions of the currently constructed cavern is completed.

上述基于锚杆受力分析的深埋洞室围岩分区破裂演化分析方法,其特征是:步骤一中对当前所施工洞室进行开挖时,沿纵向延伸方向由后向前对当前所施工洞室进行开挖且开挖长度不大于50m。The above-mentioned method for analyzing the fracture evolution of the surrounding rock in deep-buried caverns based on the stress analysis of bolts is characterized in that: when excavating the cavern currently under construction in step 1, the excavation of the currently constructed cavern is carried out from the back to the front along the longitudinal extension direction. The cavern shall be excavated and the excavation length shall not exceed 50m.

上述基于锚杆受力分析的深埋洞室围岩分区破裂演化分析方法,其特征是:步骤三中所述围岩分区位于当前所施工洞室外侧,所述围岩分区、所述破裂区和所述非破裂区的横断面形状均与当前所施工洞室的横断面形状相同。The above-mentioned cracking evolution analysis method for surrounding rock in deep caverns based on force analysis of bolts is characterized in that: in step 3, the surrounding rock division is located outside the currently constructed cavern, and the surrounding rock division, the rupture area The cross-sectional shape of the non-ruptured zone is the same as the cross-sectional shape of the currently constructed cavern.

上述基于锚杆受力分析的深埋洞室围岩分区破裂演化分析方法,其特征是:步骤3013中还需根据公式dns0=l0-ds0,计算得出第一个围岩分区内非破裂区的厚度dns0The feature of the method for analyzing the fracture evolution of the surrounding rock in deep caverns based on the stress analysis of bolts is that in step 3013, it is also necessary to calculate the first surrounding rock in the subregion according to the formula d ns0 = l 0 -d s0 . The thickness d ns0 of the non-ruptured zone;

步骤3023中还需根据公式dnsk=lk-dsk,计算得出第K个围岩分区内非破裂区的厚度dnskIn step 3023, the thickness d nsk of the non-ruptured zone in the K th surrounding rock partition needs to be calculated according to the formula d nsk =l k −d sk .

上述基于锚杆受力分析的深埋洞室围岩分区破裂演化分析方法,其特征是:步骤3012中所述的m=0.01,s=0~1,b=0.8。The above method for analysis of fracture evolution of surrounding rock in deeply buried caverns based on force analysis of bolts is characterized in that: m=0.01, s=0-1, b=0.8 mentioned in step 3012.

上述基于锚杆受力分析的深埋洞室围岩分区破裂演化分析方法,其特征是:步骤一中洞室开挖完成后,从已开挖完成的洞室中选取一个节段作为测试段;步骤二中进行围岩基本力学参数确定时,从所述测试段取岩样进行室内试验,且所获得的试验结果为开挖后所述测试段的围岩基本力学参数。The above-mentioned method for analyzing the fracture evolution of the surrounding rock in deep-buried caverns based on the force analysis of bolts is characterized in that: after the excavation of the cavern is completed in step 1, a section is selected from the excavated cavern as the test section ; When determining the basic mechanical parameters of the surrounding rock in step 2, take rock samples from the test section for indoor testing, and the obtained test results are the basic mechanical parameters of the surrounding rock in the test section after excavation.

上述基于锚杆受力分析的深埋洞室围岩分区破裂演化分析方法,其特征是:步骤一中当前所施工洞室为深埋隧道或煤矿井下巷道。The above-mentioned analysis method for regional fracture evolution of surrounding rock in deep-buried caverns based on force analysis of bolts is characterized in that: in step 1, the cavern currently being constructed is a deep-buried tunnel or a coal mine underground roadway.

本发明与现有技术相比具有以下优点:Compared with the prior art, the present invention has the following advantages:

1、分析方法步骤简单、实现方便且投入成本低,采用数据处理设备能在几分钟,甚至几十秒内完成分析过程。1. The analysis method has simple steps, convenient implementation and low investment cost. The analysis process can be completed within a few minutes or even tens of seconds by using data processing equipment.

2、开挖完成后,先确定围岩基本力学参数,再根据所确定的围岩基本力学参数对当前所施工洞室进行围岩分区破裂演化分析,因而围岩分区破裂演化分析结果准确、可靠,可操性强。2. After the excavation is completed, firstly determine the basic mechanical parameters of the surrounding rock, and then analyze the zonal fracture evolution of the surrounding rock in the currently constructed cavern according to the determined basic mechanical parameters of the surrounding rock. Therefore, the results of the zonal fracture evolution analysis of the surrounding rock are accurate and reliable , strong operability.

3、针对深埋洞室开挖支护一段时间后围岩变形才趋于稳定的特点,从开挖初期支护施工中采用的全长锚固锚杆的受力分析入手建立分析模型,通过确定锚杆中性点半径及其最大轴力,对围岩分区分别进行破裂分析,破裂分析结果与工程实际非常接近。由于洞室开挖后围岩应力发生重分布,当弹塑性界面上的岩体在最大切向支撑压力下所产生的拉伸应力超过其极限抗拉强度时,岩体将产生径向拉裂并出现多个破裂区和非破裂区交替分布现象;破裂区和非破裂区内岩体位移速率的差异将导致锚杆沿长度方向出现多个中性点;并且,围岩破裂区厚度大致呈依次递减的趋势,直至围岩破裂停止。根据围岩分区破裂条件下锚杆拉-压受力交替分布的受力变形特点,提出了一种通过锚杆受力规律反演分析围岩分区破裂的新方法。基于杆体与围岩的协调变形原理,建立了全长锚固锚杆与围岩相互作用的力学模型,并相应分析得出各围岩分区内围岩的破裂区与非破裂区厚度。基于格里菲斯强度理论,提出了围岩应力重分布后弹塑性界面岩体发生拉裂的力学判据(即破裂判断依据),进而确定了围岩的破裂区总数量(即M)。3. In view of the fact that the deformation of the surrounding rock tends to be stable after a period of excavation and support in deep caverns, the analysis model is established starting from the force analysis of the full-length anchor bolt used in the initial support construction of excavation, and by determining The radius of the neutral point of the bolt and its maximum axial force are analyzed separately for the surrounding rock partitions, and the results of the fracture analysis are very close to the actual engineering. Due to the redistribution of the surrounding rock stress after the excavation of the cavern, when the tensile stress generated by the rock mass on the elastic-plastic interface under the maximum tangential support pressure exceeds its ultimate tensile strength, the rock mass will produce radial cracking The phenomenon of alternate distribution of multiple fractured areas and non-fractured areas appears; the difference in rock mass displacement rate in the ruptured area and non-ruptured area will lead to multiple neutral points along the length of the bolt; moreover, the thickness of the ruptured area of the surrounding rock is approximately Decreasing trend in turn until the surrounding rock rupture stops. According to the force deformation characteristics of bolt tension-compression alternate distribution under the condition of partitioned fracture of surrounding rock, a new method of analyzing partitioned fracture of surrounding rock by inversion of force law of bolt is proposed. Based on the principle of coordinated deformation between the rod body and the surrounding rock, a mechanical model of the interaction between the full-length anchor rod and the surrounding rock is established, and the thickness of the cracked zone and the non-cracked zone of the surrounding rock in each zone of the surrounding rock are obtained through corresponding analysis. Based on Griffith's strength theory, the mechanical criterion (i.e., the basis for judging the fracture) of the elastic-plastic interface rock mass cracking after the stress redistribution of the surrounding rock is proposed, and then the total number of fractured areas of the surrounding rock (ie, M) is determined.

4、使用效果好,基于锚杆与围岩的协调变形原理,分析了围岩分区破裂的基本演化规律,合理确定深埋洞室围岩破裂区厚度及数量能为洞室开挖及支护提供重要的理论依据。经分析得出:各围岩分区厚度及破裂区厚度从洞壁向围岩深处大致呈依次递减的趋势,根据分析得出的破裂区总数量以及各破裂区的厚度和位置,能有效合理确定深埋洞室的开挖方案及其围岩支护参数,并为深部岩体工程围岩分区破裂研究提供新的思路。4. The use effect is good. Based on the principle of coordinated deformation of the anchor rod and the surrounding rock, the basic evolution law of the regional rupture of the surrounding rock is analyzed, and the thickness and quantity of the surrounding rock rupture area in the deep-buried cavern can be reasonably determined to be able to support the excavation and support of the cavern. provide an important theoretical basis. After analysis, it can be concluded that the thickness of each surrounding rock partition and the thickness of the rupture zone are in a decreasing trend from the cave wall to the depth of the surrounding rock. Determine the excavation scheme of the deep cavern and its surrounding rock support parameters, and provide a new idea for the study of the regional fracture of the surrounding rock in deep rock mass engineering.

综上所述,本发明步骤简单、设计合理且实现方便、使用效果好,通过围岩分区破裂演化分析能得出当前所施工洞室外侧的破裂区数量以及各破裂区的厚度和位置,为后续洞室开挖及围岩支护提供可靠依据。To sum up, the present invention has simple steps, reasonable design, convenient implementation, and good application effect. The number of rupture areas outside the currently constructed cavern and the thickness and location of each rupture area can be obtained through the analysis of the fracture evolution of surrounding rock partitions. Provide a reliable basis for subsequent cavern excavation and surrounding rock support.

下面通过附图和实施例,对本发明的技术方案做进一步的详细描述。The technical solutions of the present invention will be described in further detail below with reference to the accompanying drawings and embodiments.

附图说明Description of drawings

图1为本发明的方法流程框图。Fig. 1 is a flow chart of the method of the present invention.

图2为本发明深埋洞室拱部围岩分区破裂所形成破裂区的分布状态示意图。Fig. 2 is a schematic diagram of the distribution state of the rupture zone formed by the divisional rupture of the surrounding rock at the arch of the deeply buried cavern according to the present invention.

附图标记说明:Explanation of reference signs:

1—深埋洞室; 1-1—围岩分区破裂区;1—deep buried cavern; 1-1—surrounding rock partition rupture area;

1-2—围岩分区非破裂区。1-2—Non-rupture zone of surrounding rock division.

具体实施方式Detailed ways

如图1所示的一种基于锚杆受力分析的深埋洞室围岩分区破裂演化分析方法,包括以下步骤:As shown in Figure 1, a method for analyzing the fracture evolution of surrounding rock in deep caverns based on the force analysis of bolts includes the following steps:

步骤一、洞室开挖:对当前所施工洞室进行开挖;Step 1, cavern excavation: excavate the cavern currently under construction;

步骤二、围岩基本力学参数确定:通过对现场所取岩样进行室内试验,对当前所施工洞室的围基本力学参数进行测试,并对测试结果进行同步记录;Step 2. Determination of the basic mechanical parameters of the surrounding rock: through indoor tests on the rock samples taken from the site, the basic mechanical parameters of the surrounding caverns under construction are tested, and the test results are recorded synchronously;

步骤三、围岩分区破裂演化分析:根据步骤二中所确定的围岩基本力学参数,对当前所施工洞室进行围岩分区破裂演化分析,并根据分析结果对开挖完成后当前所施工洞室围岩上所存在破裂区的数量M和各破裂区的厚度分别进行确定;其中,M为整数且M≥0;当M=0时,说明当前所施工洞室围岩上不存在破裂区;Step 3. Fracture evolution analysis of surrounding rock partitions: According to the basic mechanical parameters of the surrounding rock determined in step 2, analyze the fracture evolution of the surrounding rock partitions for the currently constructed cavern, and analyze the current construction tunnel after the excavation is completed according to the analysis results. The number M of rupture zones existing on the surrounding rock of the chamber and the thickness of each rupture zone are determined respectively; where M is an integer and M≥0; when M=0, it means that there is no rupture zone on the surrounding rock of the currently constructed cavern ;

结合图2,对当前所施工洞室进行围岩分区破裂演化分析时,将当前所施工洞室围岩从内至外划分为多个围岩分区,并从内至外对多个所述围岩分区分别进行破裂分析,过程如下:Combined with Figure 2, when analyzing the fracture evolution of the surrounding rock partitions for the currently constructed caverns, the surrounding rocks of the currently constructed caverns are divided into multiple surrounding rock partitions from the inside to the outside, and the multiple surrounding rock partitions are analyzed from the inside to the outside. Fracture analysis is carried out for rock divisions respectively, and the process is as follows:

步骤301、第一个围岩分区破裂分析:对当前所施工洞室外侧的第一个围岩分区进行破裂分析,包括以下步骤:Step 301. Fracture analysis of the first surrounding rock partition: performing a fracture analysis on the first surrounding rock partition outside the currently constructed cavern, including the following steps:

步骤3011、第一个围岩分区厚度确定:根据公式 计算得出第一个围岩分区厚度l0,l0的单位为m;式(Ⅰ)中,R0为当前所施工洞室的等效开挖半径且其单位为m;ρ0为第一个围岩分区内所述锚杆的中性点半径与当前所施工洞室的等效开挖半径之和,第一个围岩分区内所述锚杆的中性点半径为第一个围岩分区内所述锚杆前端与中性点的间距;其中U为对当前所施工洞室进行支护时所采用锚杆的横截面周长且其单位为m,A为所述锚杆的横截面面积且其单位m2,Eb为所述锚杆的弹性模量且其单位为Pa,K为所述锚杆杆体单位长度上的剪切刚度系数且其单位为Pa/m;Step 3011, determining the thickness of the first surrounding rock partition: according to the formula The thickness of the first surrounding rock partition is calculated l 0 , and the unit of l 0 is m ; The sum of the neutral point radius of the bolt in a surrounding rock partition and the equivalent excavation radius of the currently constructed cavern, the neutral point radius of the bolt in the first surrounding rock partition is the first The distance between the front end of the bolt and the neutral point in the surrounding rock partition; in U is the perimeter of the cross-section of the anchor used to support the cavern currently under construction, and its unit is m, A is the cross-sectional area of the anchor, and its unit is m 2 , E b is the anchor The modulus of elasticity and its unit is Pa, K is the shear stiffness coefficient on the unit length of the anchor rod body and its unit is Pa/m;

步骤3012、破裂确定:对|σr0-μ(σθ0z0)|与|σt|进行差值比较,并根据差值比较结果对第一个围岩分区是否存在破裂进行判断:当|σr0-μ(σθ0z0)|≥|σt|时,判断为第一个围岩分区存在破裂且此时第一个围岩分区为破裂围岩分区,进入步骤3013;否则,判断为当前所施工洞室围岩上不存在破裂区且M=0,完成当前所施工洞室的围岩分区破裂演化分析过程;Step 3012, determination of fracture: compare the difference between |σ r0 θ0z0 )| When |σ r0 -μ(σ θ0z0 )|≥|σ t |, it is judged that there is a fracture in the first surrounding rock partition and at this time the first surrounding rock partition is a fractured surrounding rock partition, and go to step 3013; otherwise , it is judged that there is no fracture zone on the surrounding rock of the currently constructed cavern and M=0, and the analysis process of the regional fracture evolution of the surrounding rock of the currently constructed cavern is completed;

所述破裂围岩分区划分为一个破裂区和一个位于所述破裂区外侧的非破裂区;The cracked surrounding rock partition is divided into a cracked zone and a non-cracked zone located outside the cracked zone;

其中,|σt|为σt的绝对值,σt为当前所施工洞室围岩的抗拉强度且其单位为Pa,其中m为与当前所施工洞室围岩的岩石类型和完整性有关的系数且m=0.001~25,s为当前所施工洞室围岩的岩体完整性系数,σc为当前所施工洞室围岩岩体的单轴抗压强度且其单位为Pa;Among them, |σ t | is the absolute value of σ t , and σ t is the tensile strength of the surrounding rock of the currently constructed cavern, and its unit is Pa, Among them, m is the coefficient related to the rock type and integrity of the surrounding rock of the currently constructed cavern and m=0.001~25, s is the rock mass integrity coefficient of the surrounding rock of the currently constructed cavern, and σ c is the current construction cavern The uniaxial compressive strength of the rock mass surrounding the chamber and its unit is Pa;

r0-μ(σθ0z0)|为σr0-μ(σθ0z0)的绝对值;r0 -μ(σ θ0z0 )| is the absolute value of σ r0 -μ(σ θ0z0 );

其中,μ为当前所施工洞室围岩岩体的泊松比,σr0为第一个围岩分区弹塑性边界处的岩体在支撑压力峰值作用下的径向应力且其单位为Pa;其中为当前所施工洞室围岩岩体的内摩擦角,P0'为第一个围岩分区弹塑性界面上的支撑反力;为第一个围岩分区内围岩塑性区的外径且c为当前所施工洞室围岩岩体的粘聚力且其单位为Pa;A0和t均为系数, 其中G为当前所施工洞室围岩岩体的剪切模量且其单位为Pa;b为支护系数,b为常数且0<b<1;为支护前当前所施工洞室表面围岩的位移值且其单位为m,rb0为第一个围岩分区内所述锚杆外端至当前所施工洞室中心的距离且rb0=l0+R0;Nmax0为第一个围岩分区内所述锚杆中性点处的锚杆所受最大轴力且B为与当前所施工洞室围岩变形相关的系数且Er为当前所施工洞室围岩岩体的综合弹性模量且其单位为Pa,P0为开挖前当前所施工洞室围岩岩体的原岩应力且其单位为Pa;Rp0为开挖后弹塑性条件下当前所施工洞室围岩的塑性区半径且其单位为m, Among them, μ is the Poisson’s ratio of the surrounding rock mass of the cavern currently under construction, σ r0 is the radial stress of the rock mass at the elastic-plastic boundary of the first surrounding rock partition under the peak support pressure, and its unit is Pa; in is the internal friction angle of the surrounding rock mass of the currently constructed cavern, and P0' is the supporting reaction force on the elastic-plastic interface of the first surrounding rock partition; is the outer diameter of the plastic zone of the surrounding rock in the first surrounding rock division and c is the cohesion of the surrounding rock mass of the cavern currently under construction, and its unit is Pa; A 0 and t are coefficients, Among them, G is the shear modulus of the surrounding rock mass of the cavern currently under construction and its unit is Pa; b is the support coefficient, b is a constant and 0<b<1; is the displacement value of the surrounding rock on the surface of the currently constructed cavern before support and its unit is m, r b0 is the distance from the outer end of the bolt in the first surrounding rock partition to the center of the currently constructed cavern and r b0 = l 0 +R 0 ; N max0 is the maximum axial force on the bolt at the neutral point of the bolt in the first surrounding rock partition and B is the coefficient related to the deformation of the surrounding rock of the currently constructed cavern and E r is the comprehensive elastic modulus of the surrounding rock mass of the currently constructed cavern, and its unit is Pa; P 0 is the original rock stress of the surrounding rock mass of the currently constructed cavern before excavation, and its unit is Pa; R p0 is the plastic zone radius of the currently constructed cavern surrounding rock under elastic-plastic conditions after excavation, and its unit is m,

σθ0为第一个围岩分区内围岩弹塑性边界处的切向应力且σz0为第一个围岩分区内围岩弹塑性边界处的轴向应力且σz0=(1+2μ)P0,σθ0和σz0的单位均为Pa;σ θ0 is the tangential stress at the elastic-plastic boundary of the surrounding rock in the first surrounding rock partition and σ z0 is the axial stress at the elastic-plastic boundary of the surrounding rock in the first surrounding rock partition and σ z0 = (1+2μ)P 0 , the units of σ θ0 and σ z0 are both Pa;

步骤3013、第一个围岩分区内破裂区的厚度确定:根据公式 对第一个围岩分区内破裂区的厚度ds0进行确定;Step 3013, determine the thickness of the rupture zone in the first surrounding rock partition: according to the formula Determine the thickness d s0 of the rupture zone in the first surrounding rock subregion;

其中,为第一个围岩分区内破裂区的外径且第一个围岩分区内破裂区的内径 in, is the outer diameter of the fracture zone in the first surrounding rock partition and Inner diameter of the rupture zone in the first wall rock subdivision

步骤302、下一个围岩分区破裂分析:对当前所施工洞室外侧的下一个围岩分区进行破裂分析;本步骤中,进行破裂分析的围岩分区为当前所施工洞室外侧的第K个围岩分区,其中K为正整数且K≥2,K=k+1,k为正整数且k≥1;本步骤中,位于第K个围岩分区内侧的k个所述围岩分区均已完成破裂分析过程;Step 302, Fracture Analysis of the Next Surrounding Rock Partition: Perform a crack analysis on the next surrounding rock partition outside the currently constructed cavern; in this step, the surrounding rock partition for crack analysis is the Kth outside the currently constructed cavern Surrounding rock partition, wherein K is a positive integer and K≥2, K=k+1, k is a positive integer and k≥1; in this step, the k surrounding rock partitions located inside the Kth surrounding rock partition are all The fracture analysis process has been completed;

对第K个围岩分区进行破裂分析时,包括以下步骤:When performing fracture analysis on the Kth surrounding rock partition, the following steps are included:

步骤3021、第K个围岩分区厚度确定:根据公式计算得出第K个围岩分区厚度lk,lk的单位为m;Step 3021, determining the thickness of the Kth surrounding rock partition: according to the formula Calculate the thickness l k of the Kth surrounding rock partition, and the unit of l k is m;

式(Ⅲ)中,ρk为第K个围岩分区内所述锚杆的中性点半径与当前所施工洞室的等效开挖半径之和,第K个围岩分区内所述锚杆的中性点半径为第K个围岩分区内所述锚杆前端与中性点的间距;其中,Δlkz为位于第K个围岩分区内侧的k个所述围岩分区的分区厚度之和且其单位为m;In formula (Ⅲ), ρ k is the sum of the neutral point radius of the bolt in the Kth surrounding rock partition and the equivalent excavation radius of the cavern currently under construction, and the anchor in the Kth surrounding rock partition The neutral point radius of the rod is the distance between the front end of the anchor rod and the neutral point in the Kth surrounding rock partition; Wherein, Δl kz is the sum of the partition thicknesses of the k surrounding rock partitions located inside the K-th surrounding rock partition and its unit is m;

步骤3022、破裂确定:对|σrk-μ(σθkzk)|与|σt|进行差值比较,并根据差值比较结果对第K个围岩分区是否存在破裂进行判断:当|σrk-μ(σθkzk)|≥|σt|时,判断为第K个围岩分区存在破裂且此时第K个围岩分区为破裂围岩分区,进入步骤3023;否则,判断为第K个围岩分区上不存在破裂区且M=k,完成当前所施工洞室的围岩分区破裂演化分析过程;Step 3022, determination of fracture: compare the difference between |σ rk θkzk )| When |σ rk -μ(σ θkzk )|≥|σ t |, it is judged that there is a crack in the Kth surrounding rock partition and at this time the Kth surrounding rock partition is a fractured surrounding rock partition, and then go to step 3023; otherwise , it is judged that there is no fracture zone on the Kth surrounding rock partition and M=k, and the analysis process of the fracture evolution of the surrounding rock partition of the currently constructed cavern is completed;

其中,|σrk-μ(σθkzk)|为σrk-μ(σθkzk)的绝对值;Among them, |σ rk -μ(σ θkzk )| is the absolute value of σ rk -μ(σ θkzk );

σrk为第K个围岩分区弹塑性边界处的岩体在支撑压力峰值作用下的径向应力且其单位为Pa;Pk为第K个围岩分区内弹塑性界面上的支撑反力且其单位为Pa,τs为当前所施工洞室围岩的残余抗剪强度且其单位为Pa,为位于第K个围岩分区内侧且与第K个围岩分区相邻的第k个围岩分区内破裂区的外径,为第k个围岩分区内破裂区的内径;为第K个围岩分区内围岩塑性区的外径且Ak为系数且其中rbk为第K个围岩分区内破裂区厚度与当前所施工洞室的等效开挖半径之和且rbk=lk+R0;Nmaxk为第K个围岩分区内所述锚杆中性点处的锚杆所受最大轴力且 σ rk is the radial stress of the rock mass at the elastic-plastic boundary of the Kth surrounding rock partition under the action of the peak support pressure, and its unit is Pa; P k is the supporting reaction force on the elastic-plastic interface in the Kth surrounding rock partition and its unit is Pa, τ s is the residual shear strength of the surrounding rock of the currently constructed cavern and its unit is Pa, is the outer diameter of the rupture zone in the k-th surrounding rock zone located inside and adjacent to the K-th surrounding rock zone, is the inner diameter of the rupture zone in the kth surrounding rock partition; is the outer diameter of the plastic zone of the surrounding rock in the Kth surrounding rock partition and A k is the coefficient and Where r bk is the sum of the thickness of the rupture zone in the Kth surrounding rock subregion and the equivalent excavation radius of the currently constructed cavern and r bk = l k + R 0 ; N maxk is the sum of the Kth surrounding rock subregion The maximum axial force on the anchor rod at the neutral point of the anchor rod and

σθk为第K个围岩分区内围岩弹塑性边界处的切向应力且σzk为第K个围岩分区内围岩弹塑性边界处的轴向应力且σzk=(1+2μ)P0,σθk和σzk的单位均为Pa;σ θk is the tangential stress at the elastic-plastic boundary of the surrounding rock in the Kth surrounding rock partition and σ zk is the axial stress at the elastic-plastic boundary of the surrounding rock in the Kth surrounding rock partition and σ zk =(1+2μ)P 0 , the unit of σ θk and σ zk is Pa;

步骤3023、第K个围岩分区内破裂区的厚度确定:根据公式对第K个围岩分区内破裂区的厚度dsk进行确定;Step 3023, determine the thickness of the rupture zone in the Kth surrounding rock partition: according to the formula Determining the thickness d sk of the rupture zone in the Kth surrounding rock partition;

其中,为第K个围岩分区内破裂区的外径且ΔRk=R0+Δlkz;第K个围岩分区内破裂区的内径 in, is the outer diameter of the fracture zone in the Kth surrounding rock partition and ΔR k =R 0 +Δl kz ; the inner diameter of the rupture zone in the Kth surrounding rock partition

步骤303、一次或多次重复步骤302,直至完成当前所施工洞室的围岩分区破裂演化分析过程。Step 303, repeating step 302 one or more times until the process of analyzing the fracture evolution of the surrounding rock partitions of the currently constructed cavern is completed.

本实施例中,步骤一中当前所施工洞室为埋深大于50m的深埋洞室1。In this embodiment, the cavern currently being constructed in step 1 is a deeply buried cavern 1 with a buried depth greater than 50 m.

当前所施工洞室的埋深指的是该洞室开挖断面的顶部至自然地面的垂直距离。The buried depth of the currently constructed cavern refers to the vertical distance from the top of the excavated section of the cavern to the natural ground.

本实施例中,步骤一中对当前所施工洞室进行开挖时,沿纵向延伸方向由后向前对当前所施工洞室进行开挖且开挖长度不大于50m。In this embodiment, when excavating the currently constructed cavern in step 1, excavate the currently constructed cavern from back to front along the longitudinal extension direction and the excavation length is not greater than 50m.

步骤一中当前所施工洞室为深埋隧道或煤矿井下巷道。本实施例中,当前所施工洞室为深埋隧道。The cavern currently being constructed in step 1 is a deep buried tunnel or an underground coal mine roadway. In this embodiment, the currently constructed cavern is a deep buried tunnel.

实际施工时,当前所施工洞室也可以为供地下管道安装的管道洞室。During actual construction, the cavern currently under construction may also be a pipeline cavern for installation of underground pipelines.

如图2所示,步骤三中所述围岩分区位于当前所施工洞室外侧,所述围岩分区、所述破裂区和所述非破裂区的横断面形状均与当前所施工洞室的横断面形状相同。As shown in Figure 2, the surrounding rock partitions in step 3 are located outside the currently constructed cavern, and the cross-sectional shapes of the surrounding rock partitions, the cracked area, and the non-cracked area are all consistent with those of the currently constructed cavern. The cross-sectional shape is the same.

也就是说,当围岩存在分区破裂时,当前所施工洞室一周的围岩均存在分区破裂。That is to say, when the surrounding rock has zonal fractures, the surrounding rocks around the currently constructed caverns all have zonal fractures.

如图2所示,每个所述破裂围岩分区均由一个所述破裂区和一个位于所述破裂区外侧的非破裂区组成。其中,所述破裂区为围岩分区破裂区1-1,所述非破裂区为围岩分区非破裂区1-2。As shown in FIG. 2 , each of the fractured surrounding rock partitions is composed of a fractured zone and a non-fractured zone located outside the fractured zone. Wherein, the cracked area is the broken area 1-1 of the surrounding rock partition, and the non-cracked area is the non-cracked area 1-2 of the surrounding rock partition.

步骤3012中所述的s=0~1。s=0~1 described in step 3012.

本实施例中,步骤3012中所述的m=0.01,s=1,b=0.8。实际施工时,可根据具体需要,对所述的m、s和b的取值大小进行相应调整。In this embodiment, m=0.01, s=1, and b=0.8 described in step 3012. During actual construction, the values of m, s and b can be adjusted accordingly according to specific needs.

步骤3012中所述的P0'与采用所述锚杆对当前所施工洞室支护时当前所施工洞室洞壁处围岩所受的支撑反力相同。本实施例中,为计算简便,将所述锚杆作为非预应力锚杆,且所述的P0'=0Pa。为数据准确,也可以采用试验方法对当前所施工洞室支护时当前所施工洞室洞壁处围岩所受的支撑反力进行测试,并根据测试得出的支撑反力对P0'进行确定。The P 0 ′ described in step 3012 is the same as the supporting reaction force on the surrounding rock at the wall of the currently constructed cavern when the bolt is used to support the currently constructed cavern. In this embodiment, for simplicity of calculation, the anchor rod is used as a non-prestressed anchor rod, and P 0 ′=0 Pa. For the accuracy of the data, the test method can also be used to test the support reaction force of the surrounding rock at the wall of the currently constructed cavern during the current construction of the cavern support, and according to the support reaction force obtained from the test to P 0 ' Make sure.

所述第一个围岩分区内所述锚杆的中性点半径为第K个围岩分区内所述锚杆的中性点半径为 The neutral point radius of the bolt in the first surrounding rock partition is The neutral point radius of the bolt in the Kth surrounding rock partition is

步骤3023中所述的ΔRk为第k个围岩分区外边缘至洞室中心的距离。ΔR k described in step 3023 is the distance from the outer edge of the kth surrounding rock subregion to the center of the cavern.

地壳中没有受到人类工程活动(如开掘隧道、煤矿井下巷道等)影响的岩体称为原岩体,简称原岩。步骤2012中所述的原岩应力是指存在于地层中未受工程扰动的天然应力,也称为岩体初始应力、绝对应力或地应力。The rock mass in the earth's crust that has not been affected by human engineering activities (such as tunneling, coal mine underground roadway, etc.) is called proto-rock mass, or proto-rock for short. The original rock stress mentioned in step 2012 refers to the natural stress existing in the formation without engineering disturbance, also known as initial stress of rock mass, absolute stress or ground stress.

洞室开挖初期,围岩应力发生二次分布,洞壁围岩所受切向压应力急剧增加,洞壁处于弹性或弹塑性状态。由于洞壁为自由面,围岩在切向压力下只能向洞内产生横向拉伸膨胀。当围岩在切向压力下的拉伸变形达到其极限应变时,洞壁出现第一个破裂区,即“伪掌子面”。对于浅部岩体,由于地应力水平较低,在应力释放后不可能产生第二个破裂区;对于高地应力条件下的深部岩体,应力释放后产生的第一个破裂区的外边界相当于新的开挖边界,这样应力再一次重分布。当重分布后的应力场满足岩体破坏条件时,应力再一次释放,形成第二次破裂区。依次类推,该现象将持续到围岩由轴向支撑压力产生的最大径向拉应变小于岩体极限拉应变时为止,最终在围岩内部形成分区破裂现象,最终形成深部围岩分区破裂现象。At the initial stage of cavern excavation, the stress of surrounding rock occurs secondary distribution, the tangential compressive stress on surrounding rock of cavern wall increases sharply, and the cavern wall is in an elastic or elastoplastic state. Since the cave wall is a free surface, the surrounding rock can only produce transverse stretching and expansion into the cave under tangential pressure. When the tensile deformation of the surrounding rock under tangential pressure reaches its ultimate strain, the first rupture zone appears on the cave wall, that is, the "pseudo-face". For the shallow rock mass, due to the low stress level, it is impossible to produce the second rupture zone after the stress release; for the deep rock mass under the high ground stress condition, the outer boundary of the first crack zone produced after the stress release is equivalent to At the new excavation boundary, the stresses are redistributed again. When the redistributed stress field satisfies the failure conditions of the rock mass, the stress is released again, forming the second rupture zone. By analogy, this phenomenon will continue until the maximum radial tensile strain of the surrounding rock caused by the axial support pressure is less than the ultimate tensile strain of the rock mass, and finally a zonal fracture phenomenon will be formed inside the surrounding rock, and finally a zonal fracture phenomenon will be formed in the deep surrounding rock.

长期以来,全长锚固锚杆在洞室围岩支护(具体是在洞室初期支护,如洞室初期支护)中被广泛采用。设洞室开挖初期围岩处于弹塑性状态,表面围岩在垂直压力作用下向洞室空间内持续变形后形成破裂区。为便于讨论,假设:第一、将洞室断面等效为圆形,其纵向长度远大于横向宽度,属于平面应变问题;第二、将锚杆周围岩体简化为均质、连续且各向同性的弹塑性体;第三、锚杆表面任一点与其周围岩体之间不产生相对滑动;第四、锚杆抗拉强度远大于周围岩体的抗拉强度,其长度为围岩表面至弹性区外边界。本发明中通过将洞室围岩简化为理想弹塑性介质,在洞室围岩中布设全长锚固锚杆。For a long time, full-length anchor bolts have been widely used in the surrounding rock support of caverns (especially in the initial support of caverns, such as the initial support of caverns). It is assumed that the surrounding rock is in an elastic-plastic state at the initial stage of cavern excavation, and the surface surrounding rock continues to deform into the cavern space under the action of vertical pressure to form a rupture zone. For the convenience of discussion, it is assumed that: first, the section of the cavern is equivalent to a circle, and its longitudinal length is much larger than the transverse width, which belongs to the plane strain problem; second, the rock mass around the anchor is simplified to be homogeneous, continuous and Third, there is no relative sliding between any point on the surface of the anchor rod and the surrounding rock mass; fourth, the tensile strength of the anchor rod is much greater than that of the surrounding rock mass, and its length is from the surface of the surrounding rock to The outer boundary of the elastic zone. In the present invention, by simplifying the surrounding rock of the cavern into an ideal elastic-plastic medium, a full-length anchor bolt is arranged in the surrounding rock of the cavern.

软岩洞室开挖后,沿拱墙支护锚杆2长度方向上由内至外依次为围岩破碎区、塑性区及弹性区,由于各区岩体具有不同的径向变形量,越靠近洞室表面,围岩径向位移速率越大。靠近洞室表面的一段杆体具有阻止破碎区岩体向洞室内产生变形的趋势,其表面产生指向洞室内的正摩阻力;由于弹塑性区岩体的位移速率较破碎区偏小,其余一段杆体则在靠近洞室表面杆体的拉拔作用下产生指向深部围岩的负摩阻力。杆体所受正负摩阻力的分界面即为锚杆的中性点,该点杆体与其周围岩体的相对位移及表面摩阻力为零,但其轴向拉力却达到最大值。因而,所述拱墙支护锚杆2上存在一个表面摩阻力指向相反的分界点,该分界点为所述拱墙支护锚杆2与其周围岩体相对位移为零的中性点,该点摩阻力为零。但该分界点处,所述锚杆2的轴向拉力达到最大且由该分界点向所述拱墙支护锚杆2的两端轴向拉力逐渐减少并趋于零。After the soft rock cavern is excavated, along the length direction of the arch wall support bolt 2, there are surrounding rock crushing zone, plastic zone and elastic zone in sequence from inside to outside. Since the rock mass in each zone has different radial deformation, the closer to the cave chamber surface, the greater the radial displacement rate of the surrounding rock. A section of the rod near the surface of the cavern has a tendency to prevent the rock mass in the crushing zone from deforming into the cavern, and its surface produces positive frictional resistance pointing to the cavern; because the displacement rate of the rock mass in the elastic-plastic zone is smaller than that in the crushing zone, the rest of the rod body Then, under the pulling effect of the rod body close to the surface of the cavern, negative frictional resistance pointing to the deep surrounding rock is generated. The interface between the positive and negative friction of the rod body is the neutral point of the anchor rod. The relative displacement and surface friction between the rod body and the surrounding rock mass at this point are zero, but its axial tension reaches the maximum value. Therefore, there is a demarcation point whose surface frictional resistance points to the opposite on the arch wall support anchor rod 2, and this demarcation point is the neutral point where the relative displacement between the arch wall support anchor rod 2 and its surrounding rock mass is zero. point friction is zero. But at this boundary point, the axial pulling force of the anchor rod 2 reaches the maximum, and the axial pulling force gradually decreases from the boundary point to both ends of the arch wall supporting anchor rod 2 and tends to zero.

这样,本发明基于锚杆与围岩的协调变形原理,且通过建立对所开挖洞室的拱墙(即拱部和侧墙)进行支护的锚杆杆体与其周围岩体相互作用的力学模型,分析出锚杆表面摩阻力及轴力的分布规律,并根据杆体的静力平衡条件,推导锚杆杆体与岩体相对位移为零的中性点位置及其最大轴向拉力值。In this way, the present invention is based on the principle of coordinated deformation of the anchor rod and the surrounding rock, and by establishing the mechanical interaction between the anchor rod body and the surrounding rock mass that supports the arch wall (i.e. the arch and the side wall) of the excavated cavern. Based on the model, the distribution law of frictional resistance and axial force on the surface of the bolt is analyzed, and according to the static equilibrium condition of the bolt body, the position of the neutral point where the relative displacement between the bolt body and the rock mass is zero and the maximum axial tension value are deduced.

由于各分区岩体具有不同的径向变形量,越靠近洞壁,围岩径向位移速率越大。靠近洞壁的一段杆体具有阻止破碎区岩体向洞内产生变形的趋势,其表面产生指向洞内的负摩阻力;由于弹塑性区岩体的位移速率较破碎区偏小,其余一段杆体则在靠近洞壁杆体拉拔作用下产生指向深部围岩的正摩阻力,杆体所受正负摩阻力分界面即为锚杆中性点,该点处杆体与其周围岩体的相对位移及杆体表面摩阻力为零,但其轴向拉力却达到最大值。Since the rock mass in each zone has different radial deformation, the closer to the cave wall, the greater the radial displacement rate of the surrounding rock. A section of the rod body close to the cave wall has the tendency to prevent the rock mass in the crushing zone from deforming into the cave, and its surface generates negative frictional resistance pointing into the cave; because the displacement rate of the rock mass in the elastoplastic zone is smaller than that in the crushing zone, the rest of the rod body is The positive friction resistance pointing to the deep surrounding rock is generated under the pulling effect of the rod body close to the cave wall. The positive and negative friction resistance interface of the rod body is the neutral point of the bolt body. The relative displacement between the rod body and the surrounding rock mass at this point and the surface of the rod body The frictional resistance is zero, but its axial pulling force reaches the maximum value.

洞室围岩应力通过多次重分布不断向围岩深部传递。在围岩出现分区破裂的过程中,锚杆沿杆体长度方向不断出现新的中性点,各中性点内侧为变形速率较大的破碎区,其作用在杆体上的负摩阻力指向洞内;外侧为变形速率较小的非破裂区,其作用在杆体上的正摩阻力指向深部围岩。由于围岩径向位移和径向应变在波峰、波谷的起伏变化,围岩中的全长锚固锚杆将发生拉—压受力交替分布。这些现象充分表明:深埋洞室围岩中存在破裂区和非破裂区相交替的分区破裂现象。The stress of the surrounding rock in the cavern is continuously transmitted to the deep part of the surrounding rock through multiple redistributions. In the process of zonal fracture in the surrounding rock, new neutral points appear continuously along the length direction of the bolt body. The inside of each neutral point is a crushing zone with a large deformation rate, and the negative frictional resistance acting on the rod body points to the inside of the hole. ; The outer side is a non-rupture zone with a small deformation rate, and the positive frictional resistance acting on the rod body points to the deep surrounding rock. Due to the ups and downs of the radial displacement and radial strain of the surrounding rock at the peak and trough, the full-length anchor bolt in the surrounding rock will be alternately distributed in tension-compression force. These phenomena fully indicate that there are zonal fractures in the surrounding rocks of deeply buried caverns, in which fractured areas and non-fractured areas alternate.

经分析得出:所述深埋洞室1围岩中的锚杆受力存在多个中性点(也称为锚杆中性点),深埋洞室1围岩出现多个破裂区和多个非破裂区间隔分布的现象,即分区破裂现象。多个所述中性点由内至外分别为M1、M2、M3、…。并且,各中性点与洞室中心之间的间距为其中,O0为洞室中心,Mi为所述深埋洞室1围岩中的第i个中性点,i为正整数且i=1、2、3、…;O0Mi为第i个中性点与洞室中心之间的间距。并且,每个围岩分区中均存在一个所述中性点,围岩发生分区破裂时,沿锚杆长度方向上各围岩分区内锚杆杆体的首端和末端处所受轴力均为零,并且相邻的两个所述围岩分区内锚杆杆体在受力和变形上互不影响。After analysis, it is concluded that there are multiple neutral points (also known as anchor rod neutral points) in the anchor rod stress in the surrounding rock of the deep buried cavern 1, and there are multiple rupture zones and The phenomenon that multiple non-ruptured regions are distributed at intervals, that is, the phenomenon of partition rupture. The multiple neutral points are respectively M 1 , M 2 , M 3 , . . . from inside to outside. And, the distance between each neutral point and the center of the cavern is Wherein, O 0 is the center of the cavern, M i is the ith neutral point in the surrounding rock of the deep buried cavern 1, i is a positive integer and i=1, 2, 3, ...; O 0 M i is The distance between the i-th neutral point and the center of the cavern. In addition, there is a neutral point in each surrounding rock partition, when the surrounding rock partition ruptures, the axial force on the head and end of the bolt body in each surrounding rock partition along the length direction of the bolt is equal to zero, and the bolt bodies in the two adjacent surrounding rock partitions do not affect each other in terms of stress and deformation.

其中洞室中心为洞室开挖断面的几何中心,此处,洞室中心为洞室开挖断面的圆形等效开挖断面的圆心。The center of the cavern is the geometric center of the excavation section of the cavern, and here, the center of the cavern is the center of the circular equivalent excavation section of the excavation section of the cavern.

本实施例中,步骤3013中还需根据公式dns0=l0-ds0,计算得出第一个围岩分区内非破裂区的厚度dns0In this embodiment, in step 3013, it is also necessary to calculate the thickness d ns0 of the non-ruptured zone in the first surrounding rock subregion according to the formula d ns0 = l 0 -d s0 ;

步骤3023中还需根据公式dnsk=lk-dsk,计算得出第K个围岩分区内非破裂区的厚度dnskIn step 3023, the thickness d nsk of the non-ruptured zone in the K th surrounding rock partition needs to be calculated according to the formula d nsk =l k −d sk .

本实施例中,步骤一中洞室开挖完成后,从已开挖完成的洞室中选取一个节段作为测试段。In this embodiment, after the excavation of the cavern in step 1 is completed, a section is selected from the excavated cavern as the test section.

步骤二中进行围岩基本力学参数确定时,从所述测试段取岩样进行室内试验,且所获得的试验结果为开挖后所述测试段的围岩基本力学参数。这样,所确定的力学参数需在试验的基础上进行确定,能有效确保数据准确可靠,减小计算误差。When determining the basic mechanical parameters of the surrounding rock in step 2, rock samples are taken from the test section for indoor testing, and the obtained test results are the basic mechanical parameters of the surrounding rock in the test section after excavation. In this way, the determined mechanical parameters need to be determined on the basis of experiments, which can effectively ensure the accuracy and reliability of data and reduce calculation errors.

本实施例中,所述测试段位于当前所施工节段后端且其长度为1m。In this embodiment, the test section is located at the rear end of the currently constructed section and has a length of 1 m.

本实施例中,当前所施工洞室为隧道,步骤一中进行洞室开挖时,采用全断面开挖法或台阶法进行开挖。In this embodiment, the currently constructed cavern is a tunnel, and when the cavern is excavated in step 1, the full-section excavation method or the step method is used for excavation.

并且,所采用的全断面开挖法或台阶法,均为常规的隧道开挖方法。Moreover, the full-section excavation method or step method adopted are all conventional tunnel excavation methods.

本实施例中,步骤二中进行围岩基本力学参数确定时,所确定的围岩基本力学参数至少应包括开挖前当前所施工洞室围岩岩体的原岩应力P0、当前所施工洞室围岩岩体的内摩擦角当前所施工洞室围岩岩体的泊松比μ、第一个围岩分区弹塑性界面上的支撑反力P0'、当前所施工洞室围岩岩体的粘聚力c、当前所施工洞室围岩岩体的剪切模量G、支护前当前所施工洞室表面围岩的位移值当前所施工洞室围岩岩体的综合弹性模量Er、当前所施工洞室围岩的残余抗剪强度τs和当前所施工洞室围岩岩体的单轴抗压强度σcIn this embodiment, when determining the basic mechanical parameters of the surrounding rock in step 2, the determined basic mechanical parameters of the surrounding rock should at least include the original rock stress P 0 of the surrounding rock mass of the currently constructed cavern before excavation, the current construction The internal friction angle of the surrounding rock mass of the cavern The Poisson's ratio μ of the surrounding rock mass of the cavern currently under construction, the support reaction force P 0 ' on the elastic-plastic interface of the first surrounding rock section, the cohesion c of the surrounding rock mass of the currently constructed cavern, and the current The shear modulus G of the surrounding rock mass of the construction cavern, the displacement value of the surrounding rock on the surface of the currently constructed cavern before support The comprehensive elastic modulus E r of the surrounding rock mass of the currently constructed cavern, the residual shear strength τ s of the surrounding rock mass of the currently constructed cavern, and the uniaxial compressive strength σ c of the surrounding rock mass of the currently constructed cavern.

并且,还需对当前所施工洞室的等效开挖半径R0、对当前所施工洞室进行支护时所采用锚杆的横截面周长U、所述锚杆的横截面面积A、所述锚杆的弹性模量Eb和所述锚杆杆体单位长度上的剪切刚度系数K。其中,剪切刚度系数是指岩石试件在一定的法向应力和剪应力作用下,相应的剪应力与剪切位移之比值。In addition, the equivalent excavation radius R 0 of the currently constructed cavern, the cross-sectional perimeter U of the anchor rod used for supporting the currently constructed cavern, the cross-sectional area A of the anchor rod, The elastic modulus E b of the anchor rod and the shear stiffness coefficient K per unit length of the anchor rod body. Among them, the shear stiffness coefficient refers to the ratio of the corresponding shear stress to shear displacement of the rock specimen under certain normal stress and shear stress.

本实施例中,步骤二中当前所施工洞室的围岩为当前所施工洞室的拱部或左右两侧边墙所处位置的围岩。In this embodiment, the surrounding rock of the currently constructed cavern in step 2 is the surrounding rock where the arch or the left and right side walls of the currently constructed cavern are located.

步骤3013中所述第一个围岩分区内破裂区的内径为第一个围岩分区内破裂区的内边界线至当前所施工洞室中心的间距,第一个围岩分区内破裂区的外径为第一个围岩分区内破裂区的外边界线至当前所施工洞室中心的间距;Inner diameter of the rupture zone in the first surrounding rock subregion described in step 3013 is the distance from the inner boundary line of the rupture zone in the first surrounding rock division to the center of the currently constructed cavern, and the outer diameter of the rupture zone in the first surrounding rock division is the distance from the outer boundary line of the rupture zone in the first surrounding rock division to the center of the currently constructed cavern;

步骤3023中所述第K个围岩分区内破裂区的内径为第K个围岩分区内破裂区的内边界线至当前所施工洞室中心的间距,第K个围岩分区内破裂区的外径为第K个围岩分区内破裂区的外边界线至当前所施工洞室中心的间距。Inner diameter of the rupture zone in the Kth surrounding rock subregion described in step 3023 is the distance from the inner boundary line of the rupture zone in the Kth surrounding rock division to the center of the currently constructed cavern, and the outer diameter of the rupture zone in the Kth surrounding rock division It is the distance from the outer boundary line of the rupture zone in the Kth surrounding rock division to the center of the currently constructed cavern.

步骤3022所述的τs=τp-c,τp为当前所施工洞室围岩的峰值抗剪强度(也称为峰值强度)。τ sp -c described in step 3022, where τ p is the peak shear strength (also referred to as peak strength) of the surrounding rock of the currently constructed cavern.

本实施例中,多个所述围岩分区沿洞室径向由内至外布设,多个所述围岩分区均位于当前所施工洞室的同一横断面上。In this embodiment, a plurality of surrounding rock subregions are arranged radially from the inside to the outside of the cavern, and the multiple surrounding rock subregions are all located on the same cross-section of the currently constructed cavern.

本实施例中,当前所施工洞室为直墙拱顶型洞室,等效开挖半径R0=2.0m,泊松比μ=0.25,单轴抗压强度σc=37.7MPa,原岩应力P0=22.8MPa,粘聚力c=12MPa,内摩擦角岩体的综合弹性模量Er=4.2GPa,剪切模量G=1.68GPa,峰值抗剪强度τp=48MPa。洞室开挖后,在围岩中布设直径为φ25mm全长锚固非预应力锚杆,假设锚杆杆体长度满足计算要求,横截面周长U=0.08m,横截面面积A=4.91×10-4m2,所述锚杆的弹性模量Eb=40GPa,支护前当前所施工洞室表面围岩的位移值剪切刚度系数K=360MPa/m。In this example, the cavern currently being constructed is a straight-walled vaulted cavern, with an equivalent excavation radius R 0 =2.0m, Poisson’s ratio μ=0.25, uniaxial compressive strength σ c =37.7MPa, and the original rock Stress P 0 =22.8MPa, cohesion c=12MPa, internal friction angle The comprehensive elastic modulus E r of the rock mass = 4.2GPa, the shear modulus G = 1.68GPa, and the peak shear strength τ p = 48MPa. After the cavern is excavated, a full-length non-prestressed bolt with a diameter of φ25mm is laid in the surrounding rock. Assuming that the length of the bolt body meets the calculation requirements, the cross-sectional circumference U=0.08m, and the cross-sectional area A=4.91×10 - 4 m 2 , the elastic modulus E b of the anchor rod = 40GPa, the displacement value of the surrounding rock on the surface of the currently constructed cavern before support Shear stiffness coefficient K=360MPa/m.

本实施例中, In this example,

根据公式对第一个围岩分区厚度l0进行计算时,根据得出l0=3.07m。According to the formula When calculating the thickness l 0 of the first surrounding rock partition, according to This yields l 0 =3.07m.

τs=τp-c=48×106-12×106=36MPa;τ s =τ p -c=48×10 6 -12×10 6 =36MPa;

σz0=(1+2μ)P0==(1+2×0.25)×22.8×106=34.2MPa;σ z0 =(1+2μ)P 0 ==(1+2×0.25)×22.8×10 6 =34.2MPa;

σr0-μ(σθ0z0)=(-31.24×106)-0.25×(92.04×106+34.2×106)=-62.80MPa;σ r0 -μ(σ θ0z0 )=(-31.24×10 6 )-0.25×(92.04×10 6 +34.2×10 6 )=-62.80MPa;

比较得出:|σr0-μ(σθ0z0)|>|σt|,因而第一个围岩分区存在破裂且此时第一个围岩分区为破裂围岩分区,第一个围岩分区内洞壁岩体将由塑性状态进入脆性拉裂状态,洞壁失稳后形成围岩的第一个破裂区。The comparison shows that: |σ r0 -μ(σ θ0z0 )|>|σ t |, so there is a fracture in the first surrounding rock partition and at this time the first surrounding rock partition is a fractured surrounding rock partition, and the first The cave wall rock mass in the surrounding rock partition will enter the brittle cracking state from the plastic state, and the first fracture zone of the surrounding rock will be formed after the cave wall becomes unstable.

洞室开挖初期,围岩应力发生二次分布,围岩呈弹性分布。由弹性力学理论可知,洞壁处围岩所受集中应力超过其极限强度时,洞壁围岩首先将进入塑性拉裂状态。In the initial stage of cavern excavation, the secondary distribution of stress in the surrounding rock occurs, and the distribution of the surrounding rock is elastic. It can be seen from the theory of elastic mechanics that when the concentrated stress on the surrounding rock at the cave wall exceeds its ultimate strength, the surrounding rock at the cave wall will first enter a state of plastic tension.

当洞壁围岩由塑性状态进入到破裂状态后,围岩应力发生三次分布;When the surrounding rock of the cave wall enters the fractured state from the plastic state, the stress of the surrounding rock is distributed three times;

计算得出 Calculated

剪切模量 Shear modulus

相应地,计算得出洞壁围岩失稳后应力发生三次分布后所形成第一个围岩分区范围内的塑性区外径:Correspondingly, the outer diameter of the plastic zone in the first surrounding rock partition formed after the stress of the surrounding rock of the cave wall is distributed three times after the instability is calculated:

相应计算得出:第1个围岩分区内破裂区的厚度ds0=2.49-2.0=0.49m,第1个围岩分区内非破裂区的厚度dns0=3.07-0.49=2.58m;Corresponding calculations give: the thickness d s0 of the rupture zone in the first surrounding rock division = 2.49-2.0 = 0.49m, and the thickness d ns0 of the non-rupture zone in the first surrounding rock division = 3.07-0.49 = 2.58m;

同理,按照步骤3021至步骤3023中所述的方法,能求出第K个围岩分区内破裂区和非破裂区的厚度,并根据所确定各围岩分区内破裂区和非破裂区的厚度,对各围岩分区内破裂区和非破裂区的位置进行相应确定。Similarly, according to the method described in step 3021 to step 3023, the thickness of the cracked zone and the non-cracked zone in the Kth surrounding rock partition can be obtained, and according to the determined thickness of the cracked zone and the non-cracked zone in each surrounding rock partition The location of the fracture zone and non-crack zone in each surrounding rock partition is determined accordingly.

本实施例中,按照步骤3021至步骤3023中所述的方法,能求出第2个围岩分区、第3个围岩分区和第4个围岩分区内破裂区和非破裂区的厚度。In this embodiment, according to the method described in step 3021 to step 3023, the thicknesses of the cracked zone and the non-cracked zone in the second surrounding rock subregion, the third surrounding rock subregion and the fourth surrounding rock subregion can be obtained.

其中,第2个围岩分区厚度l1=1.84m,第2个围岩分区内破裂区内破裂区的厚度ds1=0.34m,第2个围岩分区内非破裂区的厚度dns1=1.50m;Among them, the thickness of the second surrounding rock subregion l 1 =1.84m, the thickness of the cracked zone within the second surrounding rock subregion d s1 =0.34m, the thickness of the non-ruptured zone within the second surrounding rock subregion d ns1 = 1.50m;

第3个围岩分区厚度l2=3.83m,第3个围岩分区内破裂区内破裂区的厚度ds2=0.57m,第3个围岩分区内非破裂区的厚度dns2=3.26m;Thickness l 2 of the third surrounding rock partition = 3.83m, thickness d s2 of the cracked zone within the third surrounding rock partition = 0.57m, thickness d ns2 of the non-ruptured zone in the third surrounding rock partition = 3.26m ;

第4个围岩分区厚度l3=0.69m,第4个围岩分区内破裂区内破裂区的厚度ds3=0.19m,第4个围岩分区内非破裂区的厚度dns3=0.50m。Thickness l 3 of the fourth surrounding rock division = 0.69m, thickness d s3 of the cracked zone within the fourth surrounding rock division d s3 = 0.19m, thickness d ns3 of the non-ruptured zone within the fourth surrounding rock division d ns3 = 0.50m .

同理,对第5个围岩分区进行破裂分析时,Δl4z=l0+l1+l2+l3=3.07+1.84+3.83+0.69=9.43m。Similarly, when performing fracture analysis on the fifth surrounding rock partition, Δl 4z =l 0 +l 1 +l 2 +l 3 =3.07+1.84+3.83+0.69=9.43m.

根据计算得出l4=5.77m;according to It is calculated that l 4 =5.77m;

相应地,洞壁围岩失稳后应力发生五次分布所形成第5个围岩分区内的塑性区外径为: Correspondingly, the outer diameter of the plastic zone in the fifth surrounding rock partition formed by five stress distributions after the wall rock is unstable is:

第5个围岩分区内弹塑性界面上的支撑反力The support reaction force on the elastic-plastic interface in the fifth surrounding rock division

σz4=(1+2×0.25)×22.8×106=34.2MPa;σ z4 =(1+2×0.25)×22.8×10 6 =34.2MPa;

σr4-μ(σθ4z4)=-7.78×106-0.25×(68.58×106+34.2×106)=-33.47MPa;σ r4 -μ(σ θ4z4 )=-7.78×10 6 -0.25×(68.58×106+34.2×106)=-33.47MPa;

经比较得出:|σr4-μ(σθ4z4)|<|σt|,判断为第5(即K)个围岩分区上不存在破裂区且M=4(即k),完成当前所施工洞室的围岩分区破裂演化分析过程。此时,当前所施工洞室总共包括4个破裂区,详见图2。After comparison, it is concluded that: |σ r4 -μ(σ θ4z4 )|<|σ t |, it is judged that there is no rupture zone on the 5th (ie K) surrounding rock partition and M=4 (ie k), Complete the analysis process of the fracture evolution of the surrounding rock partition in the cavern currently under construction. At this time, the currently constructed cavern includes a total of 4 rupture zones, as shown in Figure 2 for details.

由上述内容可知,洞室围岩分区破裂计算结果,详见表1:From the above content, it can be seen that the calculation results of the partitioned fracture of the surrounding rock of the cavern are shown in Table 1:

表1Table 1

综上,根据围岩分区破裂演化分析,得出当前所施工洞室外侧所有破裂区的厚度和位置,这样能对开挖完成后的围岩支护方案确定,提供准确且可靠的依据,实用价值非常高。In summary, according to the analysis of the fracture evolution of the surrounding rock partitions, the thickness and position of all the fracture zones outside the currently constructed cavern can be obtained, which can provide accurate and reliable basis for the determination of the surrounding rock support scheme after the excavation is completed, and is practical Very good value.

以上所述,仅是本发明的较佳实施例,并非对本发明作任何限制,凡是根据本发明技术实质对以上实施例所作的任何简单修改、变更以及等效结构变化,均仍属于本发明技术方案的保护范围内。The above are only preferred embodiments of the present invention, and do not limit the present invention in any way. All simple modifications, changes and equivalent structural changes made to the above embodiments according to the technical essence of the present invention still belong to the technical aspects of the present invention. within the scope of protection of the scheme.

Claims (7)

1.一种基于锚杆受力分析的深埋洞室围岩分区破裂演化分析方法,其特征在于,该方法包括以下步骤:1. A method for analyzing the regional fracture evolution of the surrounding rock of a deeply buried cavern based on the force analysis of the bolt, characterized in that the method comprises the following steps: 步骤一、洞室开挖:对当前所施工洞室进行开挖;Step 1, cavern excavation: excavate the cavern currently under construction; 步骤二、围岩基本力学参数确定:通过对现场所取岩样进行室内试验,对当前所施工洞室的围岩基本力学参数进行测试,并对测试结果进行同步记录;Step 2. Determination of the basic mechanical parameters of the surrounding rock: the basic mechanical parameters of the surrounding rock of the currently constructed cavern are tested through indoor tests on the rock samples taken from the site, and the test results are recorded synchronously; 步骤三、围岩分区破裂演化分析:根据步骤二中所确定的围岩基本力学参数,对当前所施工洞室进行围岩分区破裂演化分析,并根据分析结果对开挖完成后当前所施工洞室围岩上所存在破裂区的数量M和各破裂区的厚度分别进行确定;其中,M为整数且M≥0;当M=0时,说明当前所施工洞室围岩上不存在破裂区;Step 3. Fracture evolution analysis of surrounding rock partitions: According to the basic mechanical parameters of the surrounding rock determined in step 2, analyze the fracture evolution of the surrounding rock partitions for the currently constructed cavern, and analyze the current construction tunnel after the excavation is completed according to the analysis results. The number M of rupture zones existing on the surrounding rock of the chamber and the thickness of each rupture zone are determined respectively; where M is an integer and M≥0; when M=0, it means that there is no rupture zone on the surrounding rock of the currently constructed cavern ; 对当前所施工洞室进行围岩分区破裂演化分析时,将当前所施工洞室围岩从内至外划分为多个围岩分区,并从内至外对多个所述围岩分区分别进行破裂分析,过程如下:When analyzing the fracture evolution of surrounding rock partitions for the currently constructed caverns, the surrounding rocks of the currently constructed caverns are divided into multiple surrounding rock partitions from the inside to the outside, and the multiple surrounding rock partitions are analyzed from the inside to the outside. Fracture analysis, the process is as follows: 步骤301、第一个围岩分区破裂分析:对当前所施工洞室外侧的第一个围岩分区进行破裂分析,包括以下步骤:Step 301. Fracture analysis of the first surrounding rock partition: performing a fracture analysis on the first surrounding rock partition outside the currently constructed cavern, including the following steps: 步骤3011、第一个围岩分区厚度确定:根据公式(Ⅰ),计算得出第一个围岩分区厚度l0,l0的单位为m;式(Ⅰ)中,R0为当前所施工洞室的等效开挖半径且其单位为m;ρ0为第一个围岩分区内所述锚杆的中性点半径与当前所施工洞室的等效开挖半径之和,第一个围岩分区内所述锚杆的中性点半径为第一个围岩分区内所述锚杆前端与中性点的间距;其中U为对当前所施工洞室进行支护时所采用锚杆的横截面周长且其单位为m,A为所述锚杆的横截面面积且其单位m2,Eb为所述锚杆的弹性模量且其单位为Pa,K为所述锚杆杆体单位长度上的剪切刚度系数且其单位为Pa/m;Step 3011, determining the thickness of the first surrounding rock partition: according to the formula (I), calculate the thickness l 0 of the first surrounding rock partition, and the unit of l 0 is m; in the formula (I), R 0 is the equivalent excavation radius of the cavern currently under construction and its unit is m; ρ0 is the sum of the neutral point radius of the bolt in the first surrounding rock subregion and the equivalent excavation radius of the currently constructed cavern, and the neutral point radius of the bolt in the first surrounding rock subregion is the distance between the front end of the bolt and the neutral point in the first surrounding rock partition; in U is the perimeter of the cross-section of the anchor used to support the cavern currently under construction, and its unit is m, A is the cross-sectional area of the anchor, and its unit is m 2 , E b is the anchor The modulus of elasticity and its unit is Pa, K is the shear stiffness coefficient on the unit length of the anchor rod body and its unit is Pa/m; 步骤3012、破裂确定:对|σr0-μ(σθ0z0)|与|σt|进行差值比较,并根据差值比较结果对第一个围岩分区是否存在破裂进行判断:当|σr0-μ(σθ0z0)|≥|σt|时,判断为第一个围岩分区存在破裂且此时第一个围岩分区为破裂围岩分区,进入步骤3013;否则,判断为当前所施工洞室围岩上不存在破裂区且M=0,完成当前所施工洞室的围岩分区破裂演化分析过程;Step 3012, determination of fracture: compare the difference between |σ r0 θ0z0 )| When |σ r0 -μ(σ θ0z0 )|≥|σ t |, it is judged that there is a fracture in the first surrounding rock partition and at this time the first surrounding rock partition is a fractured surrounding rock partition, and go to step 3013; otherwise , it is judged that there is no fracture zone on the surrounding rock of the currently constructed cavern and M=0, and the analysis process of the regional fracture evolution of the surrounding rock of the currently constructed cavern is completed; 所述破裂围岩分区划分为一个破裂区和一个位于所述破裂区外侧的非破裂区;The cracked surrounding rock partition is divided into a cracked zone and a non-cracked zone located outside the cracked zone; 其中,|σt|为σt的绝对值,σt为当前所施工洞室围岩的抗拉强度且其单位为Pa,其中m为与当前所施工洞室围岩的岩石类型和完整性有关的系数且m=0.001~25,s为当前所施工洞室围岩的岩体完整性系数,σc为当前所施工洞室围岩岩体的单轴抗压强度且其单位为Pa;Among them, |σ t | is the absolute value of σ t , and σ t is the tensile strength of the surrounding rock of the currently constructed cavern, and its unit is Pa, Among them, m is the coefficient related to the rock type and integrity of the surrounding rock of the currently constructed cavern and m=0.001~25, s is the rock mass integrity coefficient of the surrounding rock of the currently constructed cavern, and σ c is the current construction cavern The uniaxial compressive strength of the rock mass surrounding the chamber and its unit is Pa; r0-μ(σθ0z0)|为σr0-μ(σθ0z0)的绝对值;r0 -μ(σ θ0z0 )| is the absolute value of σ r0 -μ(σ θ0z0 ); 其中,μ为当前所施工洞室围岩岩体的泊松比,σr0为第一个围岩分区弹塑性边界处的岩体在支撑压力峰值作用下的径向应力且其单位为Pa;其中为当前所施工洞室围岩岩体的内摩擦角,P0'为第一个围岩分区弹塑性界面上的支撑反力;为第一个围岩分区内围岩塑性区的外径且c为当前所施工洞室围岩岩体的粘聚力且其单位为Pa;A0和t均为系数, 其中G为当前所施工洞室围岩岩体的剪切模量且其单位为Pa;b为支护系数,b为常数且0<b<1;为支护前当前所施工洞室表面围岩的位移值且其单位为m,rb0为第一个围岩分区内所述锚杆外端至当前所施工洞室中心的距离且rb0=l0+R0;Nmax0为第一个围岩分区内所述锚杆中性点处的锚杆所受最大轴力且B为与当前所施工洞室围岩变形相关的系数且EEr为当前所施工洞室围岩岩体的综合弹性模量且其单位为Pa,P0为开挖前当前所施工洞室围岩岩体的原岩应力且其单位为Pa;Rp0为开挖后弹塑性条件下当前所施工洞室围岩的塑性区半径且其单位为m, Among them, μ is the Poisson’s ratio of the surrounding rock mass of the cavern currently under construction, σ r0 is the radial stress of the rock mass at the elastic-plastic boundary of the first surrounding rock partition under the peak support pressure, and its unit is Pa; in is the internal friction angle of the surrounding rock mass of the currently constructed cavern, and P0' is the supporting reaction force on the elastic-plastic interface of the first surrounding rock partition; is the outer diameter of the plastic zone of the surrounding rock in the first surrounding rock division and c is the cohesion of the surrounding rock mass of the cavern currently under construction, and its unit is Pa; A 0 and t are coefficients, Among them, G is the shear modulus of the surrounding rock mass of the cavern currently under construction and its unit is Pa; b is the support coefficient, b is a constant and 0<b<1; is the displacement value of the surrounding rock on the surface of the currently constructed cavern before support and its unit is m, r b0 is the distance from the outer end of the bolt in the first surrounding rock partition to the center of the currently constructed cavern and r b0 = l 0 +R 0 ; N max0 is the maximum axial force on the bolt at the neutral point of the bolt in the first surrounding rock partition and B is the coefficient related to the deformation of the surrounding rock of the currently constructed cavern and EE r is the comprehensive elastic modulus of the surrounding rock mass of the currently constructed cavern, and its unit is Pa; P 0 is the original rock stress of the surrounding rock mass of the currently constructed cavern before excavation, and its unit is Pa; R p0 is the plastic zone radius of the currently constructed cavern surrounding rock under elastic-plastic conditions after excavation, and its unit is m, σθ0为第一个围岩分区内围岩弹塑性边界处的切向应力且σz0为第一个围岩分区内围岩弹塑性边界处的轴向应力且σz0=(1+2μ)P0,σθ0和σz0的单位均为Pa;σ θ0 is the tangential stress at the elastic-plastic boundary of the surrounding rock in the first surrounding rock partition and σ z0 is the axial stress at the elastic-plastic boundary of the surrounding rock in the first surrounding rock partition and σ z0 = (1+2μ)P 0 , the units of σ θ0 and σ z0 are both Pa; 步骤3013、第一个围岩分区内破裂区的厚度确定:根据公式(Ⅱ),对第一个围岩分区内破裂区的厚度ds0进行确定;Step 3013, determine the thickness of the rupture zone in the first surrounding rock partition: according to the formula (II), determine the thickness d s0 of the rupture zone in the first surrounding rock subregion; 其中,为第一个围岩分区内破裂区的外径且第一个围岩分区内破裂区的内径 in, is the outer diameter of the fracture zone in the first surrounding rock partition and The inner diameter of the rupture zone in the first wall rock division 步骤302、下一个围岩分区破裂分析:对当前所施工洞室外侧的下一个围岩分区进行破裂分析;本步骤中,进行破裂分析的围岩分区为当前所施工洞室外侧的第K个围岩分区,其中K为正整数且K≥2,K=k+1,k为正整数且k≥1;本步骤中,位于第K个围岩分区内侧的k个所述围岩分区均已完成破裂分析过程;Step 302, Fracture Analysis of the Next Surrounding Rock Partition: Perform a crack analysis on the next surrounding rock partition outside the currently constructed cavern; in this step, the surrounding rock partition for crack analysis is the Kth outside the currently constructed cavern Surrounding rock partition, wherein K is a positive integer and K≥2, K=k+1, k is a positive integer and k≥1; in this step, the k surrounding rock partitions located inside the Kth surrounding rock partition are all The fracture analysis process has been completed; 对第K个围岩分区进行破裂分析时,包括以下步骤:When performing fracture analysis on the Kth surrounding rock partition, the following steps are included: 步骤3021、第K个围岩分区厚度确定:根据公式计算得出第K个围岩分区厚度lk,lk的单位为m;Step 3021, determining the thickness of the Kth surrounding rock partition: according to the formula Calculate the thickness l k of the Kth surrounding rock partition, and the unit of l k is m; 式(Ⅲ)中,ρk为第K个围岩分区内所述锚杆的中性点半径与当前所施工洞室的等效开挖半径之和,第K个围岩分区内所述锚杆的中性点半径为第K个围岩分区内所述锚杆前端与中性点的间距;其中,Δlkz为位于第K个围岩分区内侧的k个所述围岩分区的分区厚度之和且其单位为m;In formula (Ⅲ), ρ k is the sum of the neutral point radius of the bolt in the Kth surrounding rock partition and the equivalent excavation radius of the cavern currently under construction, and the anchor in the Kth surrounding rock partition The neutral point radius of the rod is the distance between the front end of the anchor rod and the neutral point in the Kth surrounding rock partition; Wherein, Δl kz is the sum of the partition thicknesses of the k surrounding rock partitions located inside the K-th surrounding rock partition and its unit is m; 步骤3022、破裂确定:对|σrk-μ(σθkzk)|与|σt|进行差值比较,并根据差值比较结果对第K个围岩分区是否存在破裂进行判断:当|σrk-μ(σθkzk)|≥|σt|时,判断为第K个围岩分区存在破裂且此时第K个围岩分区为破裂围岩分区,进入步骤3023;否则,判断为第K个围岩分区上不存在破裂区且M=k,完成当前所施工洞室的围岩分区破裂演化分析过程;Step 3022, determination of fracture: compare the difference between |σ rk θkzk )| When |σ rk -μ(σ θkzk )|≥|σ t |, it is judged that there is a crack in the Kth surrounding rock partition and at this time the Kth surrounding rock partition is a fractured surrounding rock partition, and then go to step 3023; otherwise , it is judged that there is no fracture zone on the Kth surrounding rock partition and M=k, and the analysis process of the fracture evolution of the surrounding rock partition of the currently constructed cavern is completed; 其中,|σrk-μ(σθkzk)|为σrk-μ(σθkzk)的绝对值;Among them, |σ rk -μ(σ θkzk )| is the absolute value of σ rk -μ(σ θkzk ); σrk为第K个围岩分区弹塑性边界处的岩体在支撑压力峰值作用下的径向应力且其单位为Pa;Pk为第K个围岩分区内弹塑性界面上的支撑反力且其单位为Pa,τs为当前所施工洞室围岩的残余抗剪强度且其单位为Pa,为位于第K个围岩分区内侧且与第K个围岩分区相邻的第k个围岩分区内破裂区的外径,为第k个围岩分区内破裂区的内径;为第K个围岩分区内围岩塑性区的外径且Ak为系数且其中rbk为第K个围岩分区内破裂区厚度与当前所施工洞室的等效开挖半径之和且rbk=lk+R0;Nmaxk为第K个围岩分区内所述锚杆中性点处的锚杆所受最大轴力且 σ rk is the radial stress of the rock mass at the elastic-plastic boundary of the Kth surrounding rock partition under the action of the peak support pressure, and its unit is Pa; P k is the supporting reaction force on the elastic-plastic interface in the Kth surrounding rock partition and its unit is Pa, τ s is the residual shear strength of the surrounding rock of the currently constructed cavern and its unit is Pa, is the outer diameter of the rupture zone in the k-th surrounding rock zone located inside and adjacent to the K-th surrounding rock zone, is the inner diameter of the rupture zone in the kth surrounding rock partition; is the outer diameter of the plastic zone of the surrounding rock in the Kth surrounding rock partition and A k is the coefficient and Where r bk is the sum of the thickness of the rupture zone in the Kth surrounding rock subregion and the equivalent excavation radius of the currently constructed cavern and r bk = l k + R 0 ; N maxk is the sum of the Kth surrounding rock subregion The maximum axial force on the anchor rod at the neutral point of the anchor rod and σθk为第K个围岩分区内围岩弹塑性边界处的切向应力且σzk为第K个围岩分区内围岩弹塑性边界处的轴向应力且σzk=(1+2μ)P0,σθk和σzk的单位均为Pa;σ θk is the tangential stress at the elastic-plastic boundary of the surrounding rock in the Kth surrounding rock partition and σ zk is the axial stress at the elastic-plastic boundary of the surrounding rock in the Kth surrounding rock partition and σ zk =(1+2μ)P 0 , the unit of σ θk and σ zk is Pa; 步骤3023、第K个围岩分区内破裂区的厚度确定:根据公式对第K个围岩分区内破裂区的厚度dsk进行确定;Step 3023, determine the thickness of the rupture zone in the Kth surrounding rock partition: according to the formula Determining the thickness d sk of the rupture zone in the Kth surrounding rock partition; 其中,为第K个围岩分区内破裂区的外径且ΔRk=R0+Δlkz;第K个围岩分区内破裂区的内径 in, is the outer diameter of the fracture zone in the Kth surrounding rock partition and ΔR k =R 0 +Δl kz ; the inner diameter of the rupture zone in the Kth surrounding rock partition 步骤303、一次或多次重复步骤302,直至完成当前所施工洞室的围岩分区破裂演化分析过程。Step 303, repeating step 302 one or more times until the process of analyzing the fracture evolution of the surrounding rock partitions of the currently constructed cavern is completed. 2.按照权利要求1所述的基于锚杆受力分析的深埋洞室围岩分区破裂演化分析方法,其特征在于:步骤一中对当前所施工洞室进行开挖时,沿纵向延伸方向由后向前对当前所施工洞室进行开挖且开挖长度不大于50m。2. According to the method for analyzing the fracture evolution of the surrounding rock of the deep-buried cavern based on the force analysis of the bolt according to claim 1, it is characterized in that: when the cavern currently under construction is excavated in the step 1, along the longitudinal extension direction Excavate the cavern currently under construction from back to front and the excavation length shall not exceed 50m. 3.按照权利要求1或2所述的基于锚杆受力分析的深埋洞室围岩分区破裂演化分析方法,其特征在于:步骤三中所述围岩分区位于当前所施工洞室外侧,所述围岩分区、所述破裂区和所述非破裂区的横断面形状均与当前所施工洞室的横断面形状相同。3. According to claim 1 or 2, the method for analyzing the fracture evolution of the surrounding rock in the deeply buried cavern based on the force analysis of the anchor rod is characterized in that: the surrounding rock in the step 3 is located outside the currently constructed cavern, The cross-sectional shapes of the surrounding rock partition, the cracked zone and the non-cracked zone are all the same as the cross-sectional shape of the currently constructed cavern. 4.按照权利要求1或2所述的基于锚杆受力分析的深埋洞室围岩分区破裂演化分析方法,其特征在于:步骤3013中还需根据公式dns0=l0-ds0,计算得出第一个围岩分区内非破裂区的厚度dns04. According to claim 1 or 2, the method for analyzing the fracture evolution of surrounding rock in deep caverns based on stress analysis of rock bolts, is characterized in that: in step 3013, the formula d ns0 =l 0 -d s0 is also required, Calculate the thickness d ns0 of the non-cracked zone in the first surrounding rock partition; 步骤3023中还需根据公式dnsk=lk-dsk,计算得出第K个围岩分区内非破裂区的厚度dnskIn step 3023, the thickness d nsk of the non-ruptured zone in the K th surrounding rock partition needs to be calculated according to the formula d nsk =l k −d sk . 5.按照权利要求1或2所述的基于锚杆受力分析的深埋洞室围岩分区破裂演化分析方法,其特征在于:步骤3012中所述的m=0.01,s=0~1,b=0.8。5. According to claim 1 or 2, the method for analyzing the fracture evolution of the surrounding rock of the deep cavern based on the force analysis of the rock bolt, is characterized in that: m=0.01, s=0-1 described in step 3012, b=0.8. 6.按照权利要求1或2所述的基于锚杆受力分析的深埋洞室围岩分区破裂演化分析方法,其特征在于:步骤一中洞室开挖完成后,从已开挖完成的洞室中选取一个节段作为测试段;步骤二中进行围岩基本力学参数确定时,从所述测试段取岩样进行室内试验,且所获得的试验结果为开挖后所述测试段的围岩基本力学参数。6. According to claim 1 or 2, the method for analyzing the fracture evolution of surrounding rock in deep buried caverns based on stress analysis of rock bolts, is characterized in that: after the excavation of the cavern in step 1 is completed, the Select a section in the cavern as the test section; when determining the basic mechanical parameters of the surrounding rock in step 2, take rock samples from the test section for indoor testing, and the obtained test results are the results of the test section after excavation. Basic mechanical parameters of surrounding rock. 7.按照权利要求1或2所述的基于锚杆受力分析的深埋洞室围岩分区破裂演化分析方法,其特征在于:步骤一中当前所施工洞室为深埋隧道或煤矿井下巷道。7. According to claim 1 or 2, the method for analyzing the fracture evolution of surrounding rock in deep buried caverns based on the force analysis of rock bolts, is characterized in that: in step 1, the cavern currently under construction is a deep buried tunnel or a coal mine underground roadway .
CN201810338691.4A 2018-04-16 2018-04-16 Deep cavern country rock subregion failure evolvement analysis method based on rockbolt stress analysis Pending CN108760487A (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
CN201810338691.4A CN108760487A (en) 2018-04-16 2018-04-16 Deep cavern country rock subregion failure evolvement analysis method based on rockbolt stress analysis

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
CN201810338691.4A CN108760487A (en) 2018-04-16 2018-04-16 Deep cavern country rock subregion failure evolvement analysis method based on rockbolt stress analysis

Publications (1)

Publication Number Publication Date
CN108760487A true CN108760487A (en) 2018-11-06

Family

ID=64010606

Family Applications (1)

Application Number Title Priority Date Filing Date
CN201810338691.4A Pending CN108760487A (en) 2018-04-16 2018-04-16 Deep cavern country rock subregion failure evolvement analysis method based on rockbolt stress analysis

Country Status (1)

Country Link
CN (1) CN108760487A (en)

Cited By (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN110130883A (en) * 2019-04-01 2019-08-16 中国矿业大学 Method and device for determining rock formation parameters
CN111881612A (en) * 2020-08-05 2020-11-03 武汉市政工程设计研究院有限责任公司 A two-dimensional stress field inversion method and system with different weights for normal stress and shear stress
CN115575598A (en) * 2022-02-22 2023-01-06 西安理工大学 Rock burst tendency prediction method considering tunnel plastic zone and radial stress
CN114778800B (en) * 2022-04-28 2023-08-08 中交第一公路勘察设计研究院有限公司 A Multi-factor Rockburst Prediction Method Based on Analytical Method
CN119435138A (en) * 2024-12-24 2025-02-14 山东黄金矿业科技有限公司深井开采实验室分公司 Real-time monitoring method of stress and strain in rock mass fracture zone and rock mass stability analysis method

Citations (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN106499397A (en) * 2016-11-14 2017-03-15 西安科技大学 A kind of soft rock tunnel deformation control method that is analyzed based on rockbolt stress
CN106499398A (en) * 2016-11-14 2017-03-15 西安科技大学 Based on the Soft Rock Tunnel Excavation method that rockbolt stress is analyzed

Patent Citations (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN106499397A (en) * 2016-11-14 2017-03-15 西安科技大学 A kind of soft rock tunnel deformation control method that is analyzed based on rockbolt stress
CN106499398A (en) * 2016-11-14 2017-03-15 西安科技大学 Based on the Soft Rock Tunnel Excavation method that rockbolt stress is analyzed

Non-Patent Citations (1)

* Cited by examiner, † Cited by third party
Title
于远祥等: ""基于锚杆受力分析的深埋洞室围岩分区破裂演化规律研究"", 《岩石力学与工程学报》 *

Cited By (7)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN110130883A (en) * 2019-04-01 2019-08-16 中国矿业大学 Method and device for determining rock formation parameters
CN111881612A (en) * 2020-08-05 2020-11-03 武汉市政工程设计研究院有限责任公司 A two-dimensional stress field inversion method and system with different weights for normal stress and shear stress
CN111881612B (en) * 2020-08-05 2021-03-19 武汉市政工程设计研究院有限责任公司 A two-dimensional stress field inversion method and system with different weights for normal stress and shear stress
CN115575598A (en) * 2022-02-22 2023-01-06 西安理工大学 Rock burst tendency prediction method considering tunnel plastic zone and radial stress
CN114778800B (en) * 2022-04-28 2023-08-08 中交第一公路勘察设计研究院有限公司 A Multi-factor Rockburst Prediction Method Based on Analytical Method
CN119435138A (en) * 2024-12-24 2025-02-14 山东黄金矿业科技有限公司深井开采实验室分公司 Real-time monitoring method of stress and strain in rock mass fracture zone and rock mass stability analysis method
CN119435138B (en) * 2024-12-24 2025-12-09 山东黄金矿业科技有限公司深井开采实验室分公司 Real-time monitoring method for stress and strain of broken rock mass and analysis method for stability of rock mass

Similar Documents

Publication Publication Date Title
Deng et al. Countermeasures against large deformation of deep-buried soft rock tunnels in areas with high geostress: A case study
CN108760487A (en) Deep cavern country rock subregion failure evolvement analysis method based on rockbolt stress analysis
CN108533287A (en) Deep cavern excavation construction method based on the analysis of country rock subregion failure evolvement
Wang et al. Study on failure mechanism of roadway with soft rock in deep coal mine and confined concrete support system
CN106499398B (en) Soft Rock Tunnel Excavation method based on rockbolt stress analysis
CN108590667A (en) Tunnel excavation and preliminary bracing method based on the analysis of country rock subregion failure evolvement
CN109060521B (en) Regional fracture evolution analysis method for surrounding rock of deep-buried cavern
Ou et al. Case study on floor heave failure of highway tunnels in gently inclined coal seam
Zhang et al. Plastic zone analysis and support optimization of shallow roadway with weakly cemented soft strata
CN111027129A (en) Design method of extruded surrounding rock tunnel structure
Jiang et al. Failure mechanism analysis and support design for deep composite soft rock roadway: A case study of the Yangcheng coal mine in China
Sun et al. Highly prestressed NPR cable coupling support technology and its application in the deep roadway
CN108843329A (en) Tunnel excavation construction method based on the analysis of country rock subregion failure evolvement
Liu et al. Nondestructive testing on cumulative damage of watery fractured rock mass under multiple cycle blasting
Wu et al. Reliability analysis and prediction on tunnel roof under blasting disturbance
Li et al. Dynamic unloading instability mechanism of underground cavern based on seepage-damage coupling
Zheng et al. Support design method for deep soft-rock tunnels in non-hydrostatic high in-situ stress field
Qiao et al. Mechanical behavior of secondary lining vault void and mold grouting repair considering contact effect
Miao et al. Numerical simulation of rockburst disaster and control strategy of constant resistance and large deformation anchor cable in Gaoloushan tunnel
Chen et al. Field investigation of the reinforcement and support mechanism for a tunnel in layered soft rock mass
Yang et al. Study on the deformation mechanism of a soft rock tunnel
Sun et al. Formation estimation and evolution mechanism of the pressure arch for non-circular tunnels under asymmetrical stress field
Gan et al. Effects of High‐Pretension Support System on Soft Rock Large Deformation of Perpendicularly Crossing Tunnels
YANG et al. Elastic analysis of full stress and displacement field for inclined shaft liner sub-jected to non-uniform stresses
Deng et al. Study on the safe distance of spatial intersecting tunnel cavern under ground shock

Legal Events

Date Code Title Description
PB01 Publication
PB01 Publication
SE01 Entry into force of request for substantive examination
SE01 Entry into force of request for substantive examination
RJ01 Rejection of invention patent application after publication

Application publication date: 20181106

RJ01 Rejection of invention patent application after publication