CN114609005A - On-line measurement device and method of soil mechanical composition based on pressure detection - Google Patents
On-line measurement device and method of soil mechanical composition based on pressure detection Download PDFInfo
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Abstract
本发明公开了一种基于压力检测的土壤机械组成在线测定装置和方法,其中在线测定装置包括沉降筒、压力传感器和数据采集处理单元,所述沉降筒的筒壁设有阀门,此阀门位于沉降筒的土壤悬液的液面的下方,所述压力传感器安装于阀门的一端,且压力传感器的信号输出端与数据采集处理单元连接。本发明利用压力传感器实时检测土壤悬液的压力值,并输送到数据采集处理单元进行记录分析,减少了人工操作中的不稳定性,自动程度高,提高了检测精度和准确性。
The invention discloses an on-line measuring device and method for soil mechanical composition based on pressure detection, wherein the on-line measuring device comprises a sedimentation cylinder, a pressure sensor and a data acquisition and processing unit. Below the liquid level of the soil suspension in the cylinder, the pressure sensor is installed at one end of the valve, and the signal output end of the pressure sensor is connected to the data acquisition and processing unit. The present invention utilizes the pressure sensor to detect the pressure value of the soil suspension in real time, and transmits it to the data acquisition and processing unit for recording and analysis, which reduces the instability in manual operation, has a high degree of automation, and improves the detection precision and accuracy.
Description
技术领域technical field
本发明涉及土壤检测技术,具体涉及一种基于压力检测的土壤机械组成在线测定装置及方法。The invention relates to soil detection technology, in particular to an on-line measuring device and method for soil mechanical composition based on pressure detection.
背景技术Background technique
土壤机械组成(土壤颗粒组成)是指土壤各粒级矿物质颗粒所占的百分含量。土壤机械组成是研究土壤各种物理化学行为的基础资料,机械组成分析是进行土壤质地分类的基础工作。土壤机械组成精确、高效的测定对土壤研究有重要意义。Soil mechanical composition (soil particle composition) refers to the percentage of soil mineral particles of each particle size. Soil mechanical composition is the basic data for studying various physical and chemical behaviors of soil, and mechanical composition analysis is the basic work for soil texture classification. Accurate and efficient determination of soil mechanical composition is of great significance to soil research.
国内现行的土壤机械组成的测定方法主要是吸管法和比重计法。吸管法在检测分析中,是在一定时点及一定深度吸取一定量悬液,对该悬液进行烘干称重,测得不同粒径颗粒的含量。因此,吸取悬液时间及深度均会很大程度上影响测定结果的准确性。吸管法存在一些缺点,包括操作步骤繁琐,耗时长,测定精度依赖实验室条件与操作熟练水平等。相比吸管法,比重计法操作相对更简便,但精度低,且依旧是一个非常耗时、手工操作难以精确把控的方法。无论采用吸管法还是比重计法,都是以Stokes定律为基础,前者操作步骤繁琐,后者准确度差,两者都耗时长,特别是需要测定更小粒径的土粒时,耗时更多,误差比较大。The current domestic methods for the determination of soil mechanical composition are mainly the straw method and the hydrometer method. In the detection and analysis of the pipette method, a certain amount of suspension is sucked at a certain time point and at a certain depth, and the suspension is dried and weighed to measure the content of particles of different particle sizes. Therefore, the time and depth of the suction suspension will greatly affect the accuracy of the measurement results. The pipette method has some disadvantages, including cumbersome operation steps, long time-consuming, and the measurement accuracy depends on laboratory conditions and operating proficiency. Compared with the straw method, the hydrometer method is relatively easier to operate, but has low precision, and is still a very time-consuming method that is difficult to accurately control by manual operation. Both the straw method and the hydrometer method are based on Stokes' law. The former has complicated operation steps and the latter has poor accuracy. Both are time-consuming, especially when measuring soil particles with smaller particle sizes. The more, the larger the error.
发明内容SUMMARY OF THE INVENTION
本发明的目的是为了克服以上现有技术存在的不足,提供了一种基于压力检测的土壤机械组成在线测定装置。此基于压力检测的土壤机械组成在线测定装置可提高实验精度和准确性。The purpose of the present invention is to provide an on-line measuring device for soil mechanical composition based on pressure detection in order to overcome the above shortcomings of the prior art. This pressure detection-based on-line measurement device for soil mechanical composition can improve experimental precision and accuracy.
同时,本发明的另一目的是提供了一种基于压力检测的土壤机械组成在线测定方法。Meanwhile, another object of the present invention is to provide an on-line measurement method of soil mechanical composition based on pressure detection.
本发明的目的通过以下的技术方案实现:本基于压力检测的土壤机械组成在线测定装置,包括沉降筒、压力传感器和数据采集处理单元,所述沉降筒的筒壁设有阀门,此阀门位于沉降筒的土壤悬液的液面的下方,所述压力传感器安装于阀门的一端,且压力传感器的信号输出端与数据采集处理单元连接。The object of the present invention is achieved through the following technical solutions: the soil mechanical composition on-line measuring device based on pressure detection includes a settling cylinder, a pressure sensor and a data acquisition and processing unit, and the cylinder wall of the settling cylinder is provided with a valve, and this valve is located in the settling cylinder. Below the liquid level of the soil suspension in the cylinder, the pressure sensor is installed at one end of the valve, and the signal output end of the pressure sensor is connected to the data acquisition and processing unit.
优选的,所述阀门与土壤悬液的液面之间的距离的为大于或等于20cm。Preferably, the distance between the valve and the liquid level of the soil suspension is greater than or equal to 20 cm.
优选的,所述沉降筒的外壁被恒温加热板包裹。Preferably, the outer wall of the settling cylinder is wrapped by a constant temperature heating plate.
优选的,所述压力传感器为0.075级高精度差压传感器。Preferably, the pressure sensor is a grade 0.075 high-precision differential pressure sensor.
优选的,所述沉降筒的筒壁设有刻度。Preferably, the barrel wall of the settling barrel is provided with a scale.
基于压力检测的土壤机械组成在线测定方法,采用上述的基于压力检测的土壤机械组成在线测定装置,包括以下步骤:The method for on-line determination of soil mechanical composition based on pressure detection adopts the above-mentioned device for on-line determination of soil mechanical composition based on pressure detection, including the following steps:
S1、将处理好的土壤悬液倒入沉降筒,并充分搅拌均匀;S1. Pour the treated soil suspension into the sedimentation cylinder, and stir well;
S2、压力传感器实时检测压力变化,以形成时间和压力的数据组;S2. The pressure sensor detects pressure changes in real time to form a data set of time and pressure;
S3、根据土粒直径大小以将土壤悬液中的土粒分成i组,其中各组土粒的直径为d 1 、d 2 …d i ,各组土粒的占比分别为k 1 、k 2 …k i ,可得线性方程组:S3. Divide the soil particles in the soil suspension into i groups according to the diameter of the soil particles, wherein the diameters of the soil particles in each group are d 1 , d 2 ... d i , and the proportions of the soil particles in each group are k 1 , k respectively 2 …k i , the linear system of equations can be obtained:
其中,T 1 ~T i 为各组土粒完全沉降一定深度h的沉降时间,Q为常数,为沉降时间对应的压力值,i为大于或等于1的自然数;Among them, T 1 ~T i is the settlement time for each group of soil particles to completely settle to a certain depth h , Q is a constant, is the pressure value corresponding to the settling time, i is a natural number greater than or equal to 1;
S4、基于步骤S2的数据组及步骤S3的线性方程组,求得土壤悬液中各组土粒的机械组成。S4. Based on the data set of step S2 and the linear equation set of step S3, the mechanical composition of each group of soil particles in the soil suspension is obtained.
优选的,各组土粒直径的大小为0.05mm>d 1 >d 2 >…>d i >0.002mm。Preferably, the diameters of the soil particles in each group are 0.05mm> d 1 > d 2 >...> d i >0.002mm.
优选的,步骤S3中,每一个粒组土粒完全下降至h深度的沉降时间T i 的确定步骤如下:Preferably, in step S3, the steps for determining the settling time T i for the soil particles of each particle group to completely fall to the depth h are as follows:
根据Stokes定律和阿基米德原理,各组土粒下降速度与土粒的半径的平方成正比,即According to Stokes' law and Archimedes' principle, the descending speed of each group of soil particles is proportional to the square of the radius of the soil particles, namely
再根据速度、时间和距离之间的关系,直径为d i 的土粒沉降到深度h时的沉降时间为:Then according to the relationship between speed, time and distance, the settlement time of soil particles with diameter d i when they settle to depth h is:
其中,v为土粒在液体中的沉降速度,g为重力加速度,ρ s为颗粒密度,ρ w为液体密度,η为液体粘滞系数,d和d i 均为土粒的直径,v i 为直径为d i 的土粒在液体中的沉降速度。where v is the sedimentation velocity of soil particles in the liquid, g is the acceleration of gravity, ρ s is the particle density, ρ w is the liquid density, η is the liquid viscosity coefficient, d and d i are the diameters of the soil particles, v i is the sedimentation velocity of soil particles with diameter di in liquid.
本发明相对于现有技术具有如下的优点:Compared with the prior art, the present invention has the following advantages:
1、本发明的基于压力检测的土壤机械组成在线测定装置主要由沉降筒、压力传感器和数据采集处理单元构成,利用压力传感器实时检测土壤悬液的压力值,并输送到数据采集处理单元进行记录分析,减少了人工操作中的不稳定性,自动程度高,提高了检测精度和准确性。1. The on-line measurement device for soil mechanical composition based on pressure detection of the present invention is mainly composed of a sedimentation cylinder, a pressure sensor and a data acquisition and processing unit. The pressure sensor is used to detect the pressure value of the soil suspension in real time, and it is sent to the data acquisition and processing unit for recording. The analysis reduces the instability in manual operation, the automatic degree is high, and the detection precision and accuracy are improved.
2、本发明的基于压力检测的土壤机械组成在线测定方法采用压力传感器在线实时检测土壤悬液的压力值,将压力值数据输送到数据采集处理单元进行记录分析,从而形成时间和压力的数据组,基于数据组与线性方程组求得各粒组土粒的含量(即机械组成);与传统方法中将大小土粒沉降分隔开来检测、忽略了大小颗粒均在同时沉降的观点和解法相比,不仅提高了检测精度,且操作步骤简单,耗时短。2. The on-line measurement method of soil mechanical composition based on pressure detection of the present invention uses a pressure sensor to detect the pressure value of the soil suspension online in real time, and transmits the pressure value data to the data acquisition and processing unit for recording and analysis, thereby forming a time and pressure data set , based on the data set and the linear equation system to obtain the soil particle content (ie mechanical composition) of each particle group; it is in contrast to the traditional method that separates the settlement of large and small soil particles to detect and ignores the simultaneous settlement of large and small particles. It not only improves the detection accuracy, but also has simple operation steps and short time-consuming.
3、本发明的基于压力检测的土壤机械组成在线测定方法采用压力传感器和数据采集处理单元检测数据及记录分析,以形成数据组,从而可获得连续的土壤粒组分布曲线,可用于更多的研究。3. The on-line measurement method of soil mechanical composition based on pressure detection of the present invention adopts pressure sensor and data acquisition and processing unit to detect data and record and analyze it to form a data group, so as to obtain a continuous soil particle group distribution curve, which can be used for more Research.
4、本发明的基于压力检测的土壤机械组成在线测定方法采用压力传感器连接在沉降筒外,消除了其它方法使用吸管、比重计或其它测量设备需要浸入悬液中对颗粒沉降的干扰,测定结果更准确。4. The on-line measurement method of soil mechanical composition based on pressure detection of the present invention uses a pressure sensor to connect outside the sedimentation cylinder, eliminating the interference of particle sedimentation by immersing in the suspension in other methods using straws, hydrometers or other measuring equipment. more acurrate.
5、本发明采用恒温装置使悬液在整个测量过程中处理恒温状态,消除了温度变化对土粒沉降速度的影响,测定结果更可靠。5. The present invention adopts a constant temperature device to make the suspension in a constant temperature state during the whole measurement process, eliminating the influence of temperature change on the sedimentation velocity of soil particles, and the measurement result is more reliable.
附图说明Description of drawings
图1是本发明的基于压力检测的土壤机械组成在线测定装置的结构示意图。FIG. 1 is a schematic structural diagram of an on-line measuring device for soil mechanical composition based on pressure detection according to the present invention.
其中,1为沉降筒,2为压力传感器,3为数据采集处理单元,4为阀门,5为土壤悬液。Among them, 1 is the sedimentation cylinder, 2 is the pressure sensor, 3 is the data acquisition and processing unit, 4 is the valve, and 5 is the soil suspension.
具体实施方式Detailed ways
下面结合附图和实施例对本发明作进一步说明。The present invention will be further described below with reference to the accompanying drawings and embodiments.
如图1所示的基于压力检测的土壤机械组成在线测定装置,包括沉降筒、压力传感器和数据采集处理单元,所述沉降筒的筒壁设有阀门,此阀门位于沉降筒的土壤悬液的液面的下方,所述压力传感器安装于阀门的一端,且压力传感器的信号输出端与数据采集处理单元连接。其中,沉降筒采用透明的玻璃筒,以方便观察。As shown in Fig. 1, an on-line measuring device for soil mechanical composition based on pressure detection includes a settling cylinder, a pressure sensor and a data acquisition and processing unit. The cylinder wall of the settling cylinder is provided with a valve, which is located at the bottom of the soil suspension of the settling cylinder. Below the liquid level, the pressure sensor is installed at one end of the valve, and the signal output end of the pressure sensor is connected to the data acquisition and processing unit. Among them, the settling cylinder adopts a transparent glass cylinder to facilitate observation.
所述阀门与土壤悬液的液面之间的距离的为大于或等于20cm。随着土粒的沉降,在某一深度位置,土壤悬液的液压会逐渐变小,在适当深度位置设置压力传感器可以精确检测压力值的变化,从而确保检测结果的精确性。The distance between the valve and the liquid level of the soil suspension is greater than or equal to 20cm. With the settlement of soil particles, at a certain depth, the hydraulic pressure of the soil suspension will gradually decrease. Setting a pressure sensor at an appropriate depth position can accurately detect the change of pressure value, thereby ensuring the accuracy of the detection result.
所述沉降筒的外壁被恒温加热板包裹。恒温加热板可使土壤悬液处理恒温状态,进一步提高检测的精确度。The outer wall of the settling drum is wrapped by a constant temperature heating plate. The constant temperature heating plate enables the soil suspension to be treated in a constant temperature state, which further improves the detection accuracy.
所述压力传感器为0.075级高精度差压传感器。采用高精度的压力的传感器才能够检测出颗粒沉降引起的压力变化,进一步确保检测结果的精确性。The pressure sensor is a 0.075-grade high-precision differential pressure sensor. Only using a high-precision pressure sensor can detect the pressure change caused by particle sedimentation, further ensuring the accuracy of the detection result.
所述沉降筒的筒壁设有刻度。此设计方便操作人员直接能观察悬液体积,保证悬液定容准确。The barrel wall of the settling barrel is provided with a scale. This design is convenient for the operator to directly observe the volume of the suspension to ensure the accurate volume of the suspension.
基于压力检测的土壤机械组成在线测定方法,采用上述的基于压力检测的土壤机械组成在线测定装置,包括以下步骤:The method for on-line determination of soil mechanical composition based on pressure detection adopts the above-mentioned device for on-line determination of soil mechanical composition based on pressure detection, including the following steps:
S1、将处理好的土壤悬液倒入沉降筒,并充分搅拌均匀;具体的,先将分散处理好的土壤悬液倒入沉降筒定容液面至1L刻度处,按沉降法要求用搅拌器充分搅拌均匀。S1. Pour the treated soil suspension into the sedimentation cylinder, and stir it evenly; specifically, first pour the dispersed treated soil suspension into the sedimentation cylinder to the constant volume liquid level to the 1L mark, and use stirring according to the requirements of the sedimentation method. Stir thoroughly.
S2、压力传感器实时检测压力变化,以形成时间和压力的数据组;随着土粒的沉降,监测位置的土壤悬液的液压随着时间逐渐发生变小,压力传感器将检测到的压力值输送到采集器中,采集器将接收到的压力值与相对应的时间分析处理形成时间与压力的数据组。S2. The pressure sensor detects the pressure change in real time to form a data set of time and pressure; with the settlement of soil particles, the hydraulic pressure of the soil suspension at the monitoring position gradually decreases with time, and the pressure sensor transmits the detected pressure value. In the collector, the collector analyzes and processes the received pressure value and the corresponding time to form a data set of time and pressure.
S3、根据土粒直径大小将土壤悬液中的土粒分成i组,其中各组土粒的直径为d 1 、 d 2 …d i ,各组土粒的占比分别为k 1 、k 2 …k i ,可得线性方程组:S3. Divide the soil particles in the soil suspension into i groups according to the diameter of the soil particles, wherein the diameters of the soil particles in each group are d 1 , d 2 ... d i , and the proportions of the soil particles in each group are k 1 , k 2 respectively ...k i , the linear system of equations can be obtained:
其中,T 1 ~T i 为各组土粒完全沉降一定深度h的沉降时间,Q为常数,为沉降时间对应的压力值,i为大于或等于1的自然数;Among them, T 1 ~T i is the settlement time for each group of soil particles to completely settle to a certain depth h , Q is a constant, is the pressure value corresponding to the settling time, i is a natural number greater than or equal to 1;
S4、基于步骤S2的数据组及步骤S3的线性方程组,求得土壤悬液中各组土粒的机械组成。S4. Based on the data set of step S2 and the linear equation set of step S3, the mechanical composition of each group of soil particles in the soil suspension is obtained.
对于上述线性方程组:For the above system of linear equations:
, ,
此为式(1)。This is formula (1).
式(1)的求得过程具体如下:The process of obtaining formula (1) is as follows:
根据Stokes定律和阿基米德原理,各土粒下降速度与土粒半径的平方成正比,则有:According to Stokes' law and Archimedes' principle, the falling speed of each soil particle is proportional to the square of the radius of the soil particle, then:
,此为式(2), , which is the formula (2),
根据速度、时间和距离之间的关系,直径为d i的土粒下降到h深度(土壤悬液的液面到压力传感器所在平面之间的距离)时需要的时间T i 为:According to the relationship between speed, time and distance, the time Ti required for soil particles with diameter d i to descend to the depth h (the distance between the liquid level of the soil suspension and the plane where the pressure sensor is located ) is:
,此为式(3)。 , which is the formula (3).
其中,v和v i 均为土粒在土壤悬液中的沉降速度,g为重力加速度,d和d i均为土粒直径,ρ s为土粒密度,ρ w为水的密度,η为土壤悬液粘滞系数,h为土壤悬液的液面到压力传感器所在平面之间距离,T i 为土粒的沉降时间。where v and vi are the sedimentation velocity of soil particles in the soil suspension, g is the acceleration of gravity, d and di are the diameter of soil particles, ρs is the density of soil particles, ρw is the density of water, and η is Viscosity coefficient of the soil suspension, h is the distance between the liquid level of the soil suspension and the plane where the pressure sensor is located, and T i is the sedimentation time of the soil particles.
测定时,将土壤中的土粒根据直径d i分成i组,且直径为d i的土粒在土壤中的质量比例为k i ,During the measurement, the soil particles in the soil are divided into i groups according to the diameter d i , and the mass ratio of the soil particles with the diameter d i in the soil is k i ,
分好粒组d 1~d i ,i为自然数,设每粒组的比例为k i ,k i ≥0,。土粒的分组的划分应根据研究需要划定,由于直径大于0.05mm的土粒沉降过程不符合Stocks定律,由于0.05mm土粒筛分误差较大;而土壤颗粒分级一般以0.002mm为粘粒直径上限,且小于0.002mm的土粒沉降时间过长,无特殊需要,一般最小粒组上限选0.002mm。因此本实施例中土粒的直径d i 的大小为0.002mm~0.05mm。测定时,划分粒组数不可过多,划分太多粒组时,会由于每个粒组的土粒含量少,对应相邻两个沉降时间的间隔过短,某些时段内悬液密度可能变化不大,导致压力传感器采集的压力值变化不大,出现读数不准的情况,也可以根据测量要求,选择不同精度的压力传感器。Divide the grain groups d 1 ~ di i , i is a natural number, set the proportion of each grain group to be k i , k i ≥ 0, . The grouping of soil particles should be delineated according to the research needs. Since the settlement process of soil particles with a diameter greater than 0.05mm does not conform to Stocks' law, and the sieving error of soil particles of 0.05mm is large, the classification of soil particles generally takes 0.002mm as clay particles. The upper limit of the diameter, and the settlement time of soil particles less than 0.002mm is too long, and there is no special need. Generally, the upper limit of the minimum particle group is 0.002mm. Therefore, in this embodiment, the diameter d i of the soil particles is 0.002 mm to 0.05 mm. When measuring, the number of grain groups should not be divided too much. When too many grain groups are divided, due to the small content of soil particles in each grain group, the interval between the corresponding two adjacent settling times is too short, and the density of the suspension may be in some time periods. If the change is not large, the pressure value collected by the pressure sensor does not change much, and the reading is inaccurate. You can also choose a pressure sensor with different precision according to the measurement requirements.
本实施例的工作和计算原理,将土粒划分为i个粒组,每个粒组的比例分别为k 1 、k 2 、k 3 、k 4 …k i ,而k 1 、k 2 、k 3 、k 4 …k i 这i组土粒的直径分别为d 1、d 2、d 3、d 4…d 5 ,其中,d 1>d 2>d 3>d 4>…>d i ,k 1 +k 2 +k 3 +k 4 +…+k i =1。In the working and calculation principle of this embodiment, the soil grains are divided into i grain groups, and the proportions of each grain group are respectively k 1 , k 2 , k 3 , k 4 . . . k i , while k 1 , k 2 , k i The diameters of the i groups of soil particles 3 , k 4 . _ _ _ _ _ _ _ _ _ _ _ _ k 1 + k 2 + k 3 + k 4 +...+ k i =1.
当沉降时间为T 1时,直径为d 1 的土粒全部沉降到h深度及以下,h深度内均是直径小于d 1 的土粒,h深度内悬液的平均密度ρ 1 均是由直径小于d 1 的土粒产生,由于直径小于d 1 的土粒沉降时间也为T 1,因而此时直径小于d 1 的各粒组土粒有已经下降到h深度以下,h深度内直径小于d 1 的土粒占沉降开始时h深度内该粒级的比例为,占沉降开始时h深度内所有土粒的比例为,即此时h深度内,所有土粒的组成比例为When the settling time is T1 , the soil particles with the diameter d1 all settle to the depth h and below, the soil particles with the diameter less than d1 are all within the depth h , and the average density ρ1 of the suspension within the depth h is determined by the diameter Soil particles smaller than d 1 are produced. Since the soil particles with diameter smaller than d 1 will also settle for T 1 , the soil particles of each particle group with diameter smaller than d 1 have Has dropped below the h depth, the proportion of soil particles with a diameter smaller than d 1 in the h depth to the particle size in the h depth at the beginning of settlement is: , the proportion of all soil particles within h depth at the beginning of settlement is , that is, within the h depth at this time, the composition ratio of all soil particles is
,此为式(4)。 , which is the formula (4).
当沉降时间为T 2 时,粒径大于d 2 的土粒全部沉降到h深度及以下,即d 1 粒组土粒全部下沉到h深度及以下,h深度内均是粒径小于d 2 的土粒,h深度内悬液的平均密度ρ 2 均是由直径小于d 2 的土粒产生,由于直径小于d 2 的土粒沉降时间也为T 2 ,因而此时直径小于d 2 的各粒组土粒有已经下降到h深度以下,h深度内直径小于d 2 的土粒占沉降开始时h深度内该粒级的比例为,占沉降开始时h深度内所有土粒的比例为,即此时h深度内,所有土粒的组成比例为When the settling time is T2 , the soil particles with particle size larger than d2 will all settle to the depth h and below, that is, the soil particles in the d1 group will all sink to the depth h and below, and all the particles in the h depth are smaller than d2 . The average density ρ 2 of the suspension in the depth h is generated by the soil particles with a diameter smaller than d 2. Since the soil particles with a diameter smaller than d 2 also have a settlement time of T 2 , at this time, each particle with a diameter smaller than d 2 granular soil particles Has dropped below the h depth, the proportion of soil particles with a diameter smaller than d2 in the h depth to this particle size in the h depth at the beginning of settlement is , the proportion of all soil particles within h depth at the beginning of settlement is , that is, within the h depth at this time, the composition ratio of all soil particles is
,此为式(5) , which is the formula (5)
以此类推,在T 3 时刻,h深度内,所有土粒的组成比例为By analogy, at time T3 , within the depth h , the composition ratio of all soil particles is
,此为式(6)。 , which is the formula (6).
在时刻,h深度内,所有土粒的组成比例为,此为式(7)exist At time, within the depth of h , the composition ratio of all soil particles is , which is the formula (7)
沉降初期,即沉降时间T i =0时,h深度内悬液中土粒的总质量则为m s ,该值根据悬液制备时加入水中的土壤样品总量M与测量深度h占悬液总深度H的比例乘积算出,即,为常数。因此沉降一定时间T i 时,h深度内悬液中土粒的总质量则为。In the initial stage of subsidence, that is, when the subsidence time T i =0, the total mass of soil particles in the suspension within h depth is m s . The proportional product of the total depth H is calculated, namely , is a constant. Therefore, when settling for a certain time T i , the total mass of soil particles in the suspension within h depth is .
根据液体压强公式,记压力传感器测定压力为p,h深度内悬液平均密度为ρ,则有,此为式(8);According to the liquid pressure formula, record the pressure measured by the pressure sensor as p , and the average density of the suspension in the depth h as ρ , then there are , this is formula (8);
,此为式(9)。 , which is the formula (9).
f为h深度内土粒体积V s 占悬液体积V的比例,,因此 f is the ratio of soil particle volume V s to suspension volume V within h depth, ,therefore
,此为式(10)。 , which is the formula (10).
,此为式(11)。 , which is the formula (11).
在某沉降时刻T i ,则有At a certain subsidence time T i , there is
,此为式(12); , this is formula (12);
由于在整个沉降过程中是不变的,可设常数,则T i时刻,式(12)可写为,即,此为式(13)。because It is constant during the whole settlement process, and a constant can be set , then at time T i , equation (12) can be written as ,Right now , which is the formula (13).
则基于k 1 +k 2 +k 3 +k 4 +…+k i =1、式(4)~(7)及式(13),可得到线性方程组:Then based on k 1 + k 2 + k 3 + k 4 +…+ k i =1, equations (4)~(7) and (13), the linear equation system can be obtained:
然后基于式(1)和(3),再结合步骤S2中得到数据组可求得各组直径土粒的机械组成。Then, based on equations (1) and (3), combined with the data set obtained in step S2, the mechanical composition of each group of diameter soil particles can be obtained.
上述具体实施方式为本发明的优选实施例,并不能对本发明进行限定,其他的任何未背离本发明的技术方案而所做的改变或其它等效的置换方式,都包含在本发明的保护范围之内。The above-mentioned specific embodiments are the preferred embodiments of the present invention, and do not limit the present invention. Any other changes or other equivalent replacement methods that do not deviate from the technical solutions of the present invention are included in the protection scope of the present invention. within.
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