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CN109063285B - A Design Method of Boring Hole Layout Scheme in Soil Slope - Google Patents

A Design Method of Boring Hole Layout Scheme in Soil Slope Download PDF

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CN109063285B
CN109063285B CN201810789277.5A CN201810789277A CN109063285B CN 109063285 B CN109063285 B CN 109063285B CN 201810789277 A CN201810789277 A CN 201810789277A CN 109063285 B CN109063285 B CN 109063285B
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蒋水华
曾绍慧
姜清辉
周创兵
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Nanchang University
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Abstract

A design method for an earth slope drilling hole arrangement scheme comprises the steps of firstly establishing an earth mass parameter model based on a non-stationary random field theory, further reflecting the influence of field information obtained from different drilling holes on earth mass parameter probability distribution through a Bayesian update analysis method, finishing the estimation of spatial variation earth mass parameter statistical characteristics and slope posterior failure probability, and finally determining the optimal drilling hole position and the optimal drilling hole distance of a slope according to information analysis. The method has the advantages of clear concept, high calculation precision, reasonable description of the spatial variability characteristics of the soil body parameters and the like, and can obtain more valuable field test data on the premise of consuming the least engineering investigation cost.

Description

一种土坡钻孔布置方案设计方法A Design Method of Boring Hole Layout Scheme on Soil Slope

技术领域technical field

本发明涉及土坡钻孔布置方案设计方法,特别涉及一种不排水饱和黏性土边坡的钻孔布置设计方法。The invention relates to a method for designing a drilling arrangement scheme of a soil slope, in particular to a method for designing a drilling arrangement for an undrained saturated cohesive soil slope.

背景技术Background technique

钻孔是地质勘探的一种重要技术手段,广泛应用于寻找和勘探各种矿产、油气藏、地下水、地热以及地层,为水利建设、工程建筑和交通设施等提供地质资料。尤其是在进行边坡工程设计时,土体各种参数的获取显得尤为重要,为获得更加真实的钻孔实验数据,需进行合理的钻孔布置方案设计。钻孔布置主要涉及确定钻孔位置、钻孔间距、钻孔深度和钻孔数目等。最优的钻孔布置方案能够达到节省工程勘察成本的前提下获得最有价值的现场试验数据。Drilling is an important technical means of geological exploration. It is widely used in finding and exploring various minerals, oil and gas reservoirs, groundwater, geothermal and strata, and provides geological data for water conservancy construction, engineering construction and transportation facilities. Especially in slope engineering design, the acquisition of various parameters of the soil is particularly important. In order to obtain more realistic drilling experiment data, it is necessary to design a reasonable drilling layout scheme. Drilling layout mainly involves determining the drilling position, drilling spacing, drilling depth and number of drillings. The optimal drilling layout scheme can achieve the most valuable field test data under the premise of saving engineering survey costs.

目前,钻孔布置设计方法没有形成较为统一的认识,只有《岩土工程勘探规范(GB50021-2001)》给出了相应的计算规定:At present, there is no unified understanding of the drilling layout design method, and only the "Code for Geotechnical Engineering Exploration (GB50021-2001)" provides the corresponding calculation regulations:

(1)勘探线应垂直边坡走向布置,当遇有软弱夹层或不利结构面时,应适当加密钻孔。勘探孔深度应穿过潜在滑动面并深入稳定层2~5 m。除常规钻探外,可根据需要采用探洞、探槽、探井和斜孔。(1) The exploration line should be arranged vertically to the direction of the slope, and when there are weak interlayers or unfavorable structural planes, the drilling should be appropriately intensified. The depth of the exploration hole should pass through the potential sliding surface and penetrate 2-5 m into the stable layer. In addition to conventional drilling, boreholes, trenches, wells and deviated holes can be used as required.

(2)布置勘探工作时应考虑勘探对工程自然环境的影响,防止对地下管线、地下工程和自然环境的破坏。钻孔、探井和探槽完工后应妥善回填。(2) The impact of exploration on the natural environment of the project should be considered when arranging the exploration work to prevent damage to underground pipelines, underground engineering and the natural environment. Boreholes, exploratory wells and trenches should be properly backfilled after completion.

(3)主勘探线上的勘探点间距不应大于50 m,且不少于3个勘探点。(3) The distance between exploration points on the main exploration line should not be greater than 50 m, and not less than 3 exploration points.

(4)勘探等级为一级的边坡勘探线间距为20~30 m,勘探点间距为15~20 m;勘探等级为二级的边坡勘探线间距为30~40 m,勘探线间距为25~30 m;勘探等级为三级的边坡勘探线间距为40~50 m,勘探点间距为30~40 m。(4) The interval of exploration lines for slopes with exploration grade 1 is 20-30 m, and the interval of exploration points is 15-20 m; the interval of exploration lines for slopes with exploration grade 2 is 30-40 m, and the interval of exploration lines is 25-30 m; for slopes with an exploration level of third grade, the interval between exploration lines is 40-50 m, and the interval between exploration points is 30-40 m.

目前,仅在已知岩土体参数先验信息前提下如何设计出最优的土坡钻孔布置方案包括确定最优的钻孔位置、钻孔间距和钻孔数目等仍然是一个关键难题。At present, how to design the optimal soil slope drilling arrangement, including determining the optimal drilling position, drilling spacing, and drilling number, is still a key problem under the premise of knowing the prior information of rock and soil parameters.

钻孔布置设计理论的不完善和钻孔布置方案设计的不合理,会导致现场勘探方案变更,施工成本增加,不仅难以获得有价值的现场试验数据,甚至还会造成安全事故。如2014年9月三峡库区湖北秭归县发生大面积山体滑坡,导致大岭电站整体损坏,348国道中断,原因是地质勘探时没有获得真实的现场实验数据,导致浅基础的承载能力被高估。再如沙曲矿4#煤层因钻孔布置参数没有得到较好优化,导致掘进机组停机(平均1.2次/h)、停工(平均3.6次/月)情况频发,严重影响采掘衔接。Imperfect drilling layout design theory and unreasonable drilling layout scheme design will lead to changes in site exploration schemes and increase construction costs. Not only is it difficult to obtain valuable field test data, but it may even cause safety accidents. For example, in September 2014, a large-scale landslide occurred in Zigui County, Hubei Province, in the Three Gorges Reservoir area, which caused the overall damage of Daling Power Station and the interruption of National Highway 348. The reason was that no real field experimental data was obtained during geological exploration, resulting in overestimation of the carrying capacity of shallow foundations. . Another example is that the 4 # coal seam of Shaqu Mine has not been well optimized due to the well-optimized drilling layout parameters, resulting in frequent stoppages of the tunneling unit (average 1.2 times/h) and frequent stoppages (average 3.6 times/month), which seriously affect the connection of excavation.

因此,当前边坡钻孔布置方案设计过程中存在许多问题亟待解决,如:Therefore, there are many problems to be solved urgently in the design process of the current slope drilling layout scheme, such as:

(1)受到沉积、后沉积、化学风化和搬运作用与荷载历史等的影响,即便对于均质土层不同位置处的土体特性不仅不同,而且存在一定的相关性,这是土体参数固有的空间变异性,目前钻孔布置方案设计都没有去合理地描述土体参数空间变异性的影响,会造成偏保守的设计方案。(1) Affected by deposition, post-sedimentation, chemical weathering, transportation, and load history, even the soil properties at different positions of the homogeneous soil layer are not only different, but also have certain correlations, which are inherent in soil parameters Due to the spatial variability of soil parameters, the current design of drilling layout schemes does not reasonably describe the influence of spatial variability of soil parameters, which will result in conservative design schemes.

(2)土体参数先验信息对钻孔布置方案优化设计非常关键,然而目前在表征土体参数先验信息时基本没有考虑土体参数均值和标准差沿埋深逐渐增加的这一特性,会造成所设计的钻孔布置方案与工程实际存在较大偏差。(2) The prior information of soil parameters is very critical to the optimal design of drilling layout schemes. However, the characteristic that the mean value and standard deviation of soil parameters gradually increase along the buried depth is basically not considered when characterizing the prior information of soil parameters. It will cause a large deviation between the designed drilling layout and the actual project.

(3)常用的多目标优化设计方法不仅寻优过程计算量非常大,而且不能较好地利用有限的现场试验数据等场地信息;马尔可夫链蒙特卡洛模拟方法难以解决考虑土体参数空间变异性的边坡钻孔布置方案高维优化设计问题。(3) The commonly used multi-objective optimization design method not only has a very large amount of calculation in the optimization process, but also cannot make good use of limited field test data and other site information; the Markov chain Monte Carlo simulation method is difficult to solve the soil parameter space High-dimensional optimization design problem of slope drilling layout scheme with variability.

发明内容Contents of the invention

本发明的目的就是针对上述现有技术的状况提供一种土坡钻孔布置方案设计方法,对钻孔布置方案进行精确高效优化设计,实现以更方便的途径确定边坡最优钻孔位置和最佳钻孔间距,并以耗费最低的工程勘察成本获得最有价值的勘察实验数据,从而为了解边坡稳定性能提供较为全面的地层信息量。The purpose of the present invention is to provide a method for designing a soil slope drilling arrangement scheme for the above-mentioned state of the art, to carry out accurate and efficient optimization design on the drilling arrangement scheme, and to realize determining the optimal drilling position and position of the slope in a more convenient way. Optimum borehole spacing and the most valuable survey experiment data can be obtained with the lowest cost of engineering survey, so as to provide more comprehensive stratum information for understanding slope stability.

本发明是通过以下技术方案实现的。The present invention is achieved through the following technical solutions.

本发明所述的一种土坡钻孔布置方案设计方法,按以下步骤。A kind of earth slope drilling arrangement scheme design method according to the present invention, according to the following steps.

(1)构建土体参数非平稳随机场模型。(1) Construct a non-stationary random field model of soil parameters.

搜集大致的土体参数先验信息(均值、标准差、概率分布、波动范围等),划分边坡随机场网格,产生土体参数随边坡埋深逐渐增加的非平稳随机场实现值,并将随机场实现值依次赋给边坡模型。Collect approximate prior information of soil parameters (mean value, standard deviation, probability distribution, fluctuation range, etc.), divide the slope random field grid, and generate non-stationary random field realization values of soil parameters that gradually increase with slope depth. And the realized value of the random field is assigned to the slope model in turn.

(2)随机布置代表性钻孔并模拟虚拟的现场试验数据。(2) Randomly arrange representative boreholes and simulate virtual field test data.

根据《岩土工程勘探规范(GB50021-2001)》及边坡等级,并以一系列钻孔位置和钻孔间距在边坡表面上随机布置一些代表性的钻孔,针对每一代表性钻孔,基于土体参数先验信息采用Quasi随机抽样技术模拟从钻孔中获取的虚拟的现场试验数据。According to the "Code for Geotechnical Engineering Exploration (GB50021-2001)" and the grade of the slope, some representative drill holes are randomly arranged on the slope surface with a series of drill hole positions and drill hole spacing, and for each representative drill hole , based on the prior information of the soil parameters, the quasi random sampling technique is used to simulate the virtual field test data obtained from the borehole.

(3)建立空间变异土体参数统计特征更新模型。(3) Establish a model for updating the statistical characteristics of spatially variable soil parameters.

基于虚拟的现场试验数据,建立考虑测量和模型转换不确定性的似然函数,并确定与似然函数有关的常数,定义一个新的失效区域,采用子集模拟方法计算场地信息事件的发生概率,从中获得失效样本,再根据这些失效样本估计不同代表性钻孔组合对应的空间变异土体参数后验概率密度函数。Based on the virtual field test data, establish the likelihood function considering the uncertainty of measurement and model conversion, and determine the constants related to the likelihood function, define a new failure area, and calculate the occurrence probability of site information events by using the subset simulation method , from which the failure samples are obtained, and then the posterior probability density functions of spatially variable soil parameters corresponding to different representative borehole combinations are estimated according to these failure samples.

(4)计算边坡后验失效概率。(4) Calculate the posterior failure probability of the slope.

在此前采用子集模拟方法估计空间变异土体参数后验概率密度函数的基础上,构建边坡失效区域,再次采用子集模拟方法计算不同代表性钻孔组合对应的边坡后验失效概率。On the basis of using the subset simulation method to estimate the posterior probability density function of spatially variable soil parameters, the slope failure area is constructed, and the subset simulation method is used again to calculate the slope posterior failure probability corresponding to different representative borehole combinations.

(5)场地信息量分析。(5) Analysis of site information.

基于土体参数后验概率密度函数和边坡后验失效概率,通过利用场地信息量期望值来反映场地信息对边坡可靠度更新和信息量分析的影响,从中确定最优的代表性钻孔组合对应的钻孔位置和钻孔间距,进而指导设计出最优的边坡钻孔布置方案。Based on the posterior probability density function of soil parameters and the posterior failure probability of the slope, the expected value of site information is used to reflect the influence of site information on slope reliability update and information analysis, and the optimal representative drilling combination is determined. The corresponding drilling position and drilling spacing can guide the design of the optimal slope drilling layout.

利用上述分析模型对最优钻孔布置进行计算时:可将土体抗剪强度参数模拟为非平稳对数正态随机场,土体容重视为常量;所描述的场地先验信息可从工程经验、工程类比、地勘报告和相关文献等资料中获得。When using the above analysis model to calculate the optimal borehole layout: the soil shear strength parameters can be simulated as a non-stationary log-normal random field, and the volumetric value of the soil can be regarded as a constant; the prior information of the described site can be obtained from the project It is obtained from data such as experience, engineering analogy, geological survey reports and related literature.

从特定场地不同钻孔中收集的现场试验数据等场地信息用来更新土体参数统计特征,这场地信息对土体参数概率分布和边坡稳定性的影响可通过估算的土体参数后验概率密度函数和边坡后验失效概率来体现。后验概率密度函数离散性越小,边坡后验失效概率越低,则表明该钻孔布置的越合理。Site information such as field test data collected from different boreholes in a specific site is used to update the statistical characteristics of soil parameters. Density function and slope posterior failure probability to reflect. The smaller the discreteness of the posterior probability density function and the lower the posterior failure probability of the slope, the more reasonable the borehole layout is.

本发明的特点是,基于贝叶斯方法更新空间变异土体参数概率密度函数和计算边坡后验失效概率,依据场地信息量分析确定边坡最优钻孔位置和最佳钻孔间距。该方法具有概念明晰、计算精度高和合理描述土体参数固有空间变异性等优点,并且能够实现在耗费最少工程勘察成本的前提下,获得更多有价值的现场试验数据。The present invention is characterized in that, based on the Bayesian method, the probability density function of spatially variable soil parameters is updated and the posterior failure probability of the slope is calculated, and the optimal drilling position and the optimal drilling distance of the slope are determined according to the analysis of site information. This method has the advantages of clear concept, high calculation accuracy, and reasonable description of the inherent spatial variability of soil parameters, and can obtain more valuable field test data under the premise of consuming the least engineering survey cost.

附图说明Description of drawings

附图1为钻孔立体布置图。Accompanying drawing 1 is the three-dimensional arrangement diagram of drilling.

附图2为钻孔平面布置图。Accompanying drawing 2 is the drilling layout plan.

附图3为某钻孔剖面图。Accompanying drawing 3 is a section view of a borehole.

附图中:d1为钻孔水平距离,d2为钻孔轴向距离,CPT1,…,CPT14为静力触探钻孔,1-2为素填土,3-2为粉质黏土,3-3为粉砂岩,W 2为弱风化土层,W 3为强风化土层。In the attached drawings: d 1 is the horizontal distance of the borehole, d 2 is the axial distance of the borehole, CPT1, ..., CPT14 are the static penetration drilling, 1-2 is plain fill, 3-2 is silty clay, 3-3 is siltstone, W 2 is weakly weathered soil layer, and W 3 is strongly weathered soil layer.

具体实施方式Detailed ways

下面结合附图,对本发明的具体实施方式作进一步的说明。The specific implementation manner of the present invention will be further described below in conjunction with the accompanying drawings.

(1)构建土体参数非平稳随机场模型。(1) Construct a non-stationary random field model of soil parameters.

边坡表面土体受地面降雨、风化、植被蒸腾和交通等因素的影响,故采用对数正态分布模拟边坡土体表面抗剪强度参数不确定性;采用对数正态分布模拟反映土体抗剪强度参数随埋深增加的速率(趋势分量)的变异性;采用均值为0和标准差为某一常数的平稳正态随机场模拟土体抗剪强度参数随机波动分量的变异性。然后划分边坡随机场单元网格,采用Karhunen-Loève级数展开方法离散平稳正态随机场,在此基础上计算土体参数非平稳随机场实现值。The soil on the slope surface is affected by factors such as ground rainfall, weathering, vegetation transpiration and traffic, so the logarithmic normal distribution is used to simulate the uncertainty of the shear strength parameters of the slope soil surface; the lognormal distribution is used to simulate the uncertainty of the soil surface The variability of the rate (trend component) of the shear strength parameters of the soil mass increases with the buried depth; the variability of the random fluctuation component of the shear strength parameters of the soil mass is simulated by using a stationary normal random field with a mean of 0 and a constant standard deviation. Then, the slope random field unit grid is divided, and the Karhunen-Loève series expansion method is used to discretize the stationary normal random field. On this basis, the realized value of the non-stationary random field of soil parameters is calculated.

(2)建立空间变异土体参数统计特征更新模型。(2) Establish a model for updating the statistical characteristics of spatially variable soil parameters.

从CPT1,…,CPT14中选择不同位置处的钻孔和具有不同间距的任意两个钻孔组合,基于Quasi随机抽样技术模拟从获取的不同土层(素填土、粉质黏土、粉砂岩)的虚拟的现场试验数据,据此建立考虑测量和模型转换不确定性的似然函数,并确定与似然函数有关的常数,定义一个新的失效区域,建立贝叶斯更新与结构可靠度分析之间的桥梁,将复杂的贝叶斯更新问题转换为一个等价的结构可靠度问题,采用子集模拟方法求解该结构可靠度问题,估计空间变异参数后验概率密度函数。Select boreholes at different positions and any combination of two boreholes with different spacings from CPT1,…, CPT14, and simulate different soil layers (plain fill, silty clay, siltstone) obtained from them based on the Quasi random sampling technique Based on the virtual field test data, the likelihood function considering the uncertainty of measurement and model conversion is established, and the constants related to the likelihood function are determined, a new failure area is defined, and Bayesian update and structural reliability analysis are established. The bridge between them converts the complex Bayesian update problem into an equivalent structural reliability problem, and uses the subset simulation method to solve the structural reliability problem, estimating the posterior probability density function of the spatial variation parameter.

(3)计算后验失效概率。(3) Calculate the posterior failure probability.

在此前采用子集模拟方法估计空间变异土体参数后验概率密度函数的基础上,构建边坡失效区域,再次采用子集模拟方法计算边坡后验失效概率。On the basis of using the subset simulation method to estimate the posterior probability density function of the spatially variable soil parameters, the failure area of the slope is constructed, and the subset simulation method is used again to calculate the posterior failure probability of the slope.

(4)场地信息量分析。(4) Analysis of site information.

通过比较由不同钻孔布置方案获得的试验数据对了解边坡稳定性能提供的信息量大小来确定最优钻孔位置和最佳钻孔间距等。信息量值越大,表示通过某钻孔布置方案中获取的试验数据对了解边坡稳定性能提供的信息量越大,即所设计的钻孔位置和钻孔间距越合理,反之亦然。By comparing the experimental data obtained by different drilling layout schemes, the amount of information provided to understand the stability of the slope can be determined to determine the optimal drilling position and optimal drilling spacing. The greater the value of information, the greater the amount of information provided by the experimental data obtained in a certain drilling layout plan for understanding the slope stability, that is, the more reasonable the designed drilling position and spacing, and vice versa.

本发明的具体实施示例如下。The specific implementation examples of the present invention are as follows.

1、某不排水饱和黏土边坡坡高为10 m,坡角为26.6°,将土体容重为20 kN/m3视作常量。边坡水平距离取60 m,高程取-20 m~0。1. The slope height of an undrained saturated clay slope is 10 m, the slope angle is 26.6°, and the soil bulk density is 20 kN/m 3 as a constant. The horizontal distance of the slope is 60 m, and the elevation is -20 m~0.

2、根据本发明对上述边坡钻孔布置方案设计步骤如下。2. According to the present invention, the design steps of the above-mentioned slope drilling layout scheme are as follows.

(1)构建土体参数非平稳随机场模型。(1) Construct a non-stationary random field model of soil parameters.

基于所搜集的场地先验信息,将边坡表面不排水抗剪强度模拟为先验均值为14.67 kPa和先验标准差为4.034 kPa的对数正态随机变量;将反映土体强度随埋深增加的速率(趋势分量)模拟为先验均值为0.3和先验标准差为0.09的对数正态随机变量;将土体抗剪强度参数波动分量模拟为先验均值为0和先验标准差为0.24的平稳正态随机场,由现场十字板剪切试验获得的土体参数水平和垂直波动范围分别取38 m 和3.8 m。划分边坡随机场单元网格,共剖分为910个水平和垂直尺寸分别为2.0 m和0.5 m的四边形和三角形混合单元。再采用Karhunen-Loève级数展开方法模拟土体参数波动分量平稳正态随机场,在此基础上计算土体参数非平稳随机场实现值。Based on the collected prior information of the site, the undrained shear strength of the slope surface is simulated as a log-normal random variable with a priori mean of 14.67 kPa and a priori standard deviation of 4.034 kPa; The rate of increase (trend component) is simulated as a lognormal random variable with a priori mean of 0.3 and a priori standard deviation of 0.09; the fluctuation component of the soil shear strength parameter is simulated as a priori mean of 0 and a priori standard deviation is a stationary normal random field of 0.24, and the horizontal and vertical fluctuation ranges of the soil parameters obtained from the field cross-plate shear test are 38 m and 3.8 m, respectively. The slope random field unit grid is divided into 910 quadrilateral and triangular mixed units with horizontal and vertical dimensions of 2.0 m and 0.5 m, respectively. Then, the Karhunen-Loève series expansion method is used to simulate the stationary normal random field of the fluctuation component of the soil parameters, and on this basis, the realized value of the non-stationary random field of the soil parameters is calculated.

(2)建立空间变异土体参数统计特征更新模型。(2) Establish a model for updating the statistical characteristics of spatially variable soil parameters.

从CPT1,…,CPT14中选择不同位置处的钻孔和具有不同间距的任意两个钻孔组合,将非平稳随机场实现值与考虑测量和模拟转换不确定性的总误差实现值相乘产生从某些钻孔中获取的多组虚拟的现场试验数据,其中将总误差模拟为中位数为1.0,标准差为某一常数的对数正态分布。据此建立贝叶斯分析所需的似然函数,定义一个新的失效区域,将复杂的贝叶斯更新问题转换为一个等价的结构可靠度问题。Select boreholes at different positions and any two borehole combinations with different spacings from CPT1,...,CPT14, and multiply the non-stationary random field realized value with the total error realized value considering the measurement and simulation conversion uncertainties to generate Multiple sets of virtual field test data obtained from some boreholes, where the total error is modeled as a lognormal distribution with a median of 1.0 and a constant standard deviation. Based on this, the likelihood function required by Bayesian analysis is established, a new failure region is defined, and the complex Bayesian update problem is transformed into an equivalent structural reliability problem.

(3)估算土体参数后验概率密度函数和边坡后验失效概率。(3) Estimate the posterior probability density function of the soil parameters and the posterior failure probability of the slope.

采用子集模拟方法估算土体参数后验概率密度函数和边坡后验失效概率,其中每层样本数目为1000,条件概率为0.1。The subset simulation method is used to estimate the posterior probability density function of soil parameters and the posterior failure probability of slope, in which the number of samples for each layer is 1000, and the conditional probability is 0.1.

(4)场地信息量分析结果。(4) Analysis results of site information.

根据获得的边坡后验失效概率,利用蒙特卡洛模拟计算场地信息量期望值。信息量期望值越大,表示从某一钻孔位置获得的现场试验数据对了解地层特性和边坡稳定性能提供的信息量越大。由计算结果可知,当钻孔位置由边坡左侧逐渐变化到边坡右侧,信息量期望值先增加后减小,在坡顶附近位置处达到最大值,在坡趾右侧降低至最小值。由此可推测坡面靠近坡顶区域为最优钻孔位置。同样,通过比较从不同间距的任意两个钻孔组合获取的试验数据计算的信息量期望值,可得最佳的钻孔间距约为二分之一倍的水平波动范围(19 m)。According to the obtained slope posterior failure probability, Monte Carlo simulation is used to calculate the expected value of site information. The larger the expected value of the amount of information, the larger the amount of information provided by the field test data obtained from a certain drilling position to understand the formation characteristics and slope stability. It can be seen from the calculation results that when the drilling position gradually changes from the left side of the slope to the right side of the slope, the expected value of the amount of information first increases and then decreases, reaches the maximum near the top of the slope, and decreases to the minimum on the right side of the slope toe . Therefore, it can be inferred that the area near the top of the slope is the optimal drilling position. Similarly, by comparing the expected value of information calculated from the experimental data obtained from any combination of two boreholes with different spacings, the optimal drilling spacing can be obtained with a horizontal fluctuation range (19 m) that is about one-half times that of the boreholes.

Claims (3)

1. A method for designing an earth slope drilling arrangement scheme is characterized by comprising the following steps:
(1) Constructing a soil parameter non-stationary random field model:
collecting soil parameter prior information: dividing a slope random field grid into a mean value, a standard deviation, a probability distribution and a fluctuation range, generating a non-stationary random field realization value of which soil body parameters are gradually increased along with the slope burial depth, and sequentially assigning the random field realization value to a slope model;
(2) Representative boreholes were randomly placed and virtual field trial data was simulated:
according to geotechnical engineering exploration specifications and slope grades, randomly arranging a plurality of representative drill holes on the surface of a slope according to a series of drill hole positions and drill hole intervals, and simulating virtual field test data acquired from the drill holes by adopting a Quasi random sampling technology based on soil body parameter prior information aiming at each representative drill hole;
(3) Establishing a spatial variation soil parameter statistical characteristic updating model:
establishing a likelihood function considering measurement and model conversion uncertainty based on virtual field test data, determining a constant related to the likelihood function, defining a new failure area, calculating the occurrence probability of a field information event by adopting a subset simulation method, obtaining failure samples from the occurrence probability, and estimating posterior probability density functions of space variation soil body parameters corresponding to different representative borehole combinations according to the failure samples;
(4) Calculating the posterior failure probability of the slope:
on the basis of estimating the posterior probability density function of the spatial variation soil parameters by adopting a subset simulation method, constructing a slope failure area, and calculating the posterior probability of the slope corresponding to different representative drilling combinations by adopting the subset simulation method again;
(5) Analyzing the site information quantity:
based on a soil parameter posterior probability density function and a slope posterior failure probability, the influence of field information on slope reliability updating and information quantity analysis is reflected by utilizing a field information quantity expected value, and the larger the field information quantity expected value is, the larger the field test data obtained from a certain drilling position provides information quantity for understanding stratum characteristics and slope stability performance is, and the slope surface close to the top of the slope is taken as an optimal drilling position; also, the optimum drill hole pitch can be obtained by comparing the expected value of the amount of information calculated from the experimental data obtained from any two drill hole combinations at different pitches.
2. The method for designing an earth slope drilling arrangement scheme according to claim 1, wherein when the drilling arrangement is calculated: simulating the soil shear strength parameter into a non-stationary lognormal random field, and taking the soil volume weight as a constant; the site priors described are obtained from engineering experience, engineering analogies, geological survey reports and relevant literature data.
3. The method according to claim 1, wherein the field test data collected from different boreholes in a specific site is used to update the statistical characteristics of the soil parameters, and the influence of the field test data on the probability distribution of the soil parameters and the stability of the slope is reflected by the estimated posterior probability density function of the soil parameters and the posterior probability of failure of the slope, and the smaller the dispersion of the posterior probability density function is, the lower the posterior probability of failure of the slope is, indicating that the borehole is more reasonable to arrange.
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