CN114638120A - Roadbed soil slope stability reliability evaluation method - Google Patents

Roadbed soil slope stability reliability evaluation method Download PDF

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CN114638120A
CN114638120A CN202210329110.7A CN202210329110A CN114638120A CN 114638120 A CN114638120 A CN 114638120A CN 202210329110 A CN202210329110 A CN 202210329110A CN 114638120 A CN114638120 A CN 114638120A
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slope
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罗强
王棋
张文生
蒋良潍
张良
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Southwest Jiaotong University
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Abstract

The invention discloses a method for evaluating the stability and reliability of a roadbed soil slope, which comprises the following steps: s1: acquiring roadbed soil slope parameters; s2: determining a slope stability safety factor, a slope material effect factor, a first slope geometric effect factor and a second slope geometric effect factor; s3: determining a slope stability and reliability index; s4: and evaluating the stability and reliability of the roadbed soil slope. The rapid assessment method for the stability and reliability of the roadbed soil slope disclosed by the invention has a reference value for the improvement of roadbed engineering construction and maintenance. Based on the geometric and material parameters of the roadbed soil slope obtained by measurement in engineering, a stability safety coefficient is obtained according to a Fellenius limit balance method, corresponding effect factors are determined according to the slope material and the geometric parameters, and a reliable index which can consider the influence of the variability of the soil strength parameter and corresponds to the safety coefficient is obtained according to a disclosed reliable index estimation model.

Description

Roadbed soil slope stability reliability evaluation method
Technical Field
The invention belongs to the technical field of geotechnical engineering slope stability analysis, and particularly relates to a method for evaluating stability and reliability of a roadbed soil slope.
Background
The roadbed is one of three basic structures of line engineering, and has a high proportion in railway and highway engineering, wherein the instability and damage of a side slope of the roadbed is one of main risk sources influencing the operation safety of the line engineering. Therefore, the rapid evaluation research on the stability and reliability of the roadbed slope is carried out, and the method has important engineering value and practical significance for improving the driving safety. In engineering, the evaluation is carried out by a common certainty analysis method, which is based on the premise of integral limit balance, if the object is a common soil sliding wedge, the sliding surface is set to be an arc surface, the wedge is divided into all soil strips, and then the stability safety coefficient F of the slope stability evaluation index is obtained by calculationsThe method has the characteristics of simplicity, convenience, intuition and rich engineering experience. However, due to variability in soil strength parameters, substantially FsWill present a certain distribution, thus the stability factor of safety obtained by the parameter mean calculation is single, the degree of safety of the slope cannot be fully quantified, and will result in having the same FsThe slopes of (a) have different possibilities of failure. Based on the above, the variation characteristic of soil strength parameter can be considered to obtain the reliable index beta (failure probability P)f) In order to express the probability analysis method, the slope instability possibility can be comprehensively evaluated, and the probability analysis method is introduced into slope engineering and supplements the traditional method. The existing probability analysis method mainly adopts a first-order second moment method, a first-order reliability method and a Monte Carlo simulation-based random finite element method to calculate the slope reliability index beta, has the defects of complex calculation and long time consumption, and restricts practical application.
Because the stability and reliability index beta can consider the uncertainty of the slope soil strength parameter, the stability and reliability index beta is compared with a stability safety factor FsMore comprehensive, but the defects of complex calculation process and huge data amount exist, especially for small probability events of engineering failure, even the Monte Carlo method with simple concept and strong applicability needs to calculate a large amount of random samples to obtain beta (P) with small deviationf). Therefore, based on multi-factor influence, a method for quickly evaluating soil slope stability and reliability index beta is providedThe method has important significance for improving the construction and maintenance of roadbed engineering.
Disclosure of Invention
The invention provides a method for evaluating the stability and reliability of a roadbed soil slope in order to solve the problems.
The technical scheme of the invention is as follows: a method for evaluating stability and reliability of a roadbed soil slope comprises the following steps:
s1: acquiring roadbed soil slope parameters;
s2: determining a slope stability safety coefficient, a slope material effect factor, a first slope geometric effect factor and a second slope geometric effect factor according to the roadbed soil slope parameters;
s3: determining a slope stability reliability index according to the roadbed soil slope parameter, the slope stability safety coefficient, the slope material effect factor, the first slope geometric effect factor and the second slope geometric effect factor;
s4: and evaluating the stability and reliability of the roadbed soil slope according to the slope stability and reliability index and the slope stability and safety coefficient.
Further, in step S1, the roadbed soil slope parameters include roadbed slope geometric parameters including slope height h, slope rate 1: m and soil volume weight mean value
Figure BDA0003572551840000021
Volume weight coefficient of variation delta of soil bodyγAverage value of cohesive force of soil body shear strength parameter
Figure BDA0003572551840000022
Cohesive force variation coefficient delta of soil shear strength parametercMean value of internal friction angle
Figure BDA0003572551840000023
And coefficient of variation of internal friction angle
Figure BDA0003572551840000024
Wherein m represents a slope coefficient of the side slope.
Further, in step S1, a soil shear strength parameter with a gradient rate of 1: m to 1:1.5 is usedMean value of several cohesive forces
Figure BDA0003572551840000025
And mean value of internal friction angle
Figure BDA0003572551840000026
The roadbed soil slope of (1), wherein,
Figure BDA0003572551840000027
and m represents the slope coefficient of the side slope.
Further, in step S2, the specific method for determining the slope stability safety factor is as follows: according to the geometric parameters of the roadbed side slope, the slope height h, the slope rate 1: m and the volume weight mean value of the soil body
Figure BDA0003572551840000028
Average value of cohesive force of soil shear strength
Figure BDA0003572551840000029
And mean value of internal friction angle
Figure BDA00035725518400000210
Slope stability safety coefficient F determined by Fellenius limit balancing methodsWherein m represents a slope coefficient of the side slope.
Further, in step S2, the formula for calculating the slope material effect factor ζ is:
ζ＝1.526/(δc+0.012)
wherein, deltacAnd (4) representing the cohesive force variation coefficient of the soil shear strength parameter.
Further, in step S2, the first slope geometric effect factor η1The calculation formula of (2) is as follows:
η1＝0.5h+1.37
wherein h represents the geometric parameter slope height of the roadbed side slope;
second slope geometric effect factor eta2The calculation formula of (2) is as follows:
η2＝(4h-1.25+0.8)。
further, in step S3, the slope stability reliability index β is calculated as:
Figure BDA0003572551840000031
where ζ represents the slope material effect factor, η1Representing the first slope geometric effect factor, eta2Representing a second slope geometric effect factor,
Figure BDA0003572551840000032
denotes the mean value of internal friction angle, FsThe stability safety factor of the side slope is shown,
Figure BDA0003572551840000033
and the average value of the cohesive force of the soil shear strength is shown.
Further, in step S4, the specific method for evaluating the stability and reliability of the roadbed soil slope includes: if the slope stability and reliability index beta is larger than the set control value beta]And the safety coefficient F of slope stabilitysAnd if not less than 1.377, the stability and reliability of the side slope meet the requirement, otherwise, the stability and reliability of the side slope do not meet the requirement.
The invention has the beneficial effects that:
(1) the stability and reliability of the side slope are comprehensively influenced by the geometry and material parameters of the side slope, the stability and reliability index has a complex relationship with the slope height, the cohesive force mean value and the variation coefficient of the soil body shear strength parameter, the internal friction angle mean value and the stability and safety coefficient, the stability and reliability index of the side slope can be quickly obtained through a relational expression of power function and logarithm combination, and the high-efficiency evaluation of the stability and reliability of the side slope is further realized;
(2) the method can quickly obtain the reliable indexes of slope stability and control the risk of slope stability evaluation. For mean value of cohesive force
Figure BDA0003572551840000041
And mean value of internal friction angle
Figure BDA0003572551840000042
The general soil slope meets the requirements
Figure BDA0003572551840000043
And the safety coefficient F of slope stabilitysUnder the condition that the slope stability reliability is more than or equal to 1.377, the risk of evaluating the slope stability reliability is small, and the safety of rapid evaluation of the slope stability reliability is further ensured;
(3) the rapid assessment method for the stability and reliability of the roadbed soil slope disclosed by the invention has a reference value for the improvement of roadbed engineering construction and maintenance. Based on the geometric and material parameters of the roadbed soil slope obtained by measurement in engineering, a stability safety coefficient is obtained according to a Fellenius limit balance method, corresponding effect factors are determined according to the slope material and the geometric parameters, and a reliable index which can consider the influence of the variability of the soil strength parameter and corresponds to the safety coefficient is obtained according to a disclosed reliable index estimation model.
Drawings
FIG. 1 is a flow chart of a method for evaluating stability and reliability of a roadbed soil slope;
FIG. 2 shows the slope stability reliability index estimation deviation Delta beta-safety factor FsA relationship graph;
FIG. 3 is a graph showing the average value of the estimated deviation delta beta of the slope stability reliability index along with the cohesive force of the soil shear strength parameter
Figure BDA0003572551840000044
And mean value of internal friction angle
Figure BDA0003572551840000045
A varying contour map.
Detailed Description
The embodiments of the present invention will be further described with reference to the accompanying drawings.
As shown in fig. 1, the invention provides a method for evaluating the stability and reliability of a roadbed soil slope, which comprises the following steps:
s1: acquiring roadbed soil slope parameters;
s2: determining a slope stability safety coefficient, a slope material effect factor, a first slope geometric effect factor and a second slope geometric effect factor according to the roadbed soil slope parameters;
s3: determining a slope stability reliability index according to the roadbed soil slope parameter, the slope stability safety coefficient, the slope material effect factor, the first slope geometric effect factor and the second slope geometric effect factor;
s4: and evaluating the stability and reliability of the roadbed soil slope according to the slope stability and reliability index and the slope stability and safety coefficient.
In the embodiment of the invention, in the step S1, the roadbed soil slope parameters comprise roadbed slope geometric parameters of slope height h (m), slope rate 1: m and soil mass volume weight mean value
Figure BDA0003572551840000051
Volume weight coefficient of variation delta of soil bodyγAnd the average value of cohesive force of the soil shear strength parameter
Figure BDA0003572551840000052
Cohesive force variation coefficient delta of soil shear strength parametercMean internal friction angle
Figure BDA0003572551840000053
And coefficient of variation of internal friction angle
Figure BDA0003572551840000054
Wherein m represents the slope coefficient of the side slope, and the slope rate is 1: m and is equal to the tangent value of the slope angle.
Obtaining the geometric parameters of the roadbed side slope, namely the slope height h (m) and the slope rate 1: m through field measurement; measuring the volume weight and the shear strength of the soil body of the roadbed slope by a soil test to obtain the volume weight mean value of the soil body
Figure BDA0003572551840000055
And coefficient of variation deltaγAverage value of cohesive force of shear strength parameter
Figure BDA0003572551840000056
And coefficient of variation deltacMean value of internal friction angle
Figure BDA0003572551840000057
And coefficient of variation
Figure BDA0003572551840000058
Coefficient of variation of internal friction angle of soil shear strength parameter
Figure BDA0003572551840000059
About the cohesive force coefficient of variation deltacHalf of (1), the coefficient of variation of the volume weight of the soil body deltaγAround 0.05;
in the embodiment of the present invention, in step S1, the cohesive force average value of the soil shear strength parameter with the gradient rate of 1: m-1: 1.5 is adopted
Figure BDA00035725518400000510
And mean value of internal friction angle
Figure BDA00035725518400000511
The roadbed soil slope of (1), wherein,
Figure BDA00035725518400000512
m represents the slope coefficient of the slope, with a slope ratio of 1: m equal to the tangent of the slope angle.
In the embodiment of the present invention, in step S2, a specific method for determining a slope stability safety factor includes: according to the geometric parameters of the roadbed side slope, the slope height h, the slope rate 1: m and the volume weight mean value of the soil body
Figure BDA00035725518400000513
Average value of cohesive force of soil shear strength
Figure BDA00035725518400000514
And mean value of internal friction angle
Figure BDA00035725518400000515
Determining the stability safety coefficient F of the slope by using a Fellenius extreme balance method of setting a sliding surface as an arc surface without considering the interaction between soil stripssWherein m represents a slope coefficient of the side slope, and the slope ratio of 1: m is equal to a tangent value of a slope angle.
In the embodiment of the present invention, in step S2, the formula for calculating the slope material effect factor ζ is as follows:
ζ＝1.526/(δc+0.012)
wherein, deltacAnd (4) representing the cohesive force variation coefficient of the soil shear strength parameter.
In the embodiment of the invention, in step S2, the first slope geometric effect factor η1The calculation formula of (2) is as follows:
η1＝0.5h+1.37
wherein h represents the geometric parameter slope height of the roadbed side slope;
second slope geometric effect factor eta2The calculation formula of (2) is as follows:
η2＝(4h-1.25+0.8)。
in the embodiment of the present invention, in step S3, the calculation formula of the slope stability reliability index β is:
Figure BDA0003572551840000061
where ζ represents the slope material effect factor, η1Representing the first slope geometric effect factor, eta2Representing a second slope geometric effect factor,
Figure BDA0003572551840000062
denotes the mean value of internal friction angle, FsThe stability safety factor of the side slope is shown,
Figure BDA0003572551840000063
and the average value of the cohesive force of the soil shear strength is shown.
In the embodiment of the invention, in step S4, the specific method for evaluating the stability and reliability of the roadbed soil slope comprises the following steps: if the slope stability and reliability index beta is larger than the set control value beta]And the safety coefficient F of slope stabilitysAnd if not less than 1.377, the stability and reliability of the side slope meet the requirement, otherwise, the stability and reliability of the side slope do not meet the requirement.
The main principle of the method of the invention is described below:
the reliable index beta of the side slope is influenced by the mean value and the variation coefficient of the soil strength parameter and is also related to the geometric parameters such as the slope height, and in order to eliminate the dimension of the side slope parameter and comprehensively reflect the influence of a plurality of factors on the beta, firstly, a dimensionless technology is applied to process
Figure BDA0003572551840000064
Will be provided with
Figure BDA0003572551840000065
Tangent to obtain coefficient of friction andsquotient, obtaining dimensionless parameters of internal friction angle
Figure BDA0003572551840000066
Then, at
Figure BDA0003572551840000067
Under the condition of no change, the beta change rule can be better described and obtained
Figure BDA0003572551840000068
Dimensionless cohesion parameter expressed as a variable
Figure BDA0003572551840000069
Subsequently, the dimensionless parameters are discussed separately by using the control variable method
Figure BDA00035725518400000610
Along with the change rule of the reliable index, the beta combination function under the comprehensive influence of the two is obtained and obtained through transformation
Figure BDA00035725518400000611
Finally, linear and nonlinear fitting methods are adopted to obtain the variation coefficient of the soil shear strength parameter
Figure BDA00035725518400000612
The material effect factor zeta expressed is 1.526/(delta)c+0.012), geometric effect factor η expressed in slope height h10.5h +1.37 and η2＝(4h-1.25+0.8)。
And (3) simulation test verification: for the slope geometry and the material parameter being slope height h epsilon [4m,8m]Gradient 1: m is 1:1.5, average cohesive force
Figure BDA0003572551840000071
And coefficient of variation deltac∈[0.1,0.3]Mean value of internal friction angle
Figure BDA0003572551840000072
And coefficient of variation
Figure BDA0003572551840000073
Mean value of volume weight of soil
Figure BDA0003572551840000074
And coefficient of variation deltaγ0.05 of roadbed soil slope. The deviation between the calculation result of the reliable index obtained by adopting the method of the invention and the test result obtained according to the numerical simulation test is delta beta, and the deviation between the delta beta and the stable safety factor FsSee FIG. 2 for a relationship of FsF in the region of less than or equal to 1.377s∈[0.926,1.377]And further obtaining beta E-1.627, 5.148 in the region]，FsAnd beta have data below the engineering design control value, thereby determining FsLess than or equal to 1.377 and delta beta>And 0.5 is an estimated risk area of instability possibility caused by high estimation of slope reliability indexes. Further analysis is carried out to estimate the risk area and the mean value of the delta beta relation isoline along with the shear strength cohesive force of the soil body
Figure BDA0003572551840000075
Mean value of internal friction angle
Figure BDA0003572551840000076
The distribution rule is shown in figure 3, and it can be seen that the method of the present invention is suitable for
Figure BDA0003572551840000077
And
Figure BDA0003572551840000078
and satisfy
Figure BDA0003572551840000079
The soil slope has better applicability, the slope reliability index obtained by the method has small deviation from a theoretical calculated value, and the fluctuation probability within the deviation range of plus or minus 0.5 is 98.06 percent. The method has high calculation precision and good reliability, and can quickly estimate the slope stability and reliability index.
The invention has the beneficial effects that:
(1) the stability and reliability of the side slope are comprehensively influenced by the geometry and material parameters of the side slope, the stability and reliability index has a complex relationship with the slope height, the cohesive force mean value and the variation coefficient of the soil body shear strength parameter, the internal friction angle mean value and the stability safety coefficient, the stability and reliability index of the side slope can be quickly obtained through a power function and logarithm combined relational expression, and the high-efficiency evaluation of the stability and reliability of the side slope is further realized;
(2) the method can quickly obtain the reliable indexes of slope stability and control the risk of slope stability evaluation. For mean value of cohesive force
Figure BDA00035725518400000710
And mean value of internal friction angle
Figure BDA00035725518400000711
The general soil slope meets the requirements
Figure BDA00035725518400000712
And the safety coefficient F of slope stabilitysUnder the condition that the slope stability reliability is more than or equal to 1.377, the risk of evaluating the slope stability reliability is small, and the safety of rapid evaluation of the slope stability reliability is further ensured;
(3) the rapid assessment method for the stability and reliability of the roadbed soil slope disclosed by the invention has a reference value for the improvement of roadbed engineering construction and maintenance. Based on the geometric and material parameters of the roadbed soil slope obtained by measurement in engineering, a stability safety coefficient is obtained according to a Fellenius limit balance method, corresponding effect factors are determined according to the slope material and the geometric parameters, and a reliable index which can consider the influence of the variability of the soil strength parameter and corresponds to the safety coefficient is obtained according to a disclosed reliable index estimation model.
It will be appreciated by those of ordinary skill in the art that the embodiments described herein are intended to assist the reader in understanding the principles of the invention and are to be construed as being without limitation to such specifically recited embodiments and examples. Those skilled in the art can make various other specific changes and combinations based on the teachings of the present invention without departing from the spirit of the invention, and these changes and combinations are within the scope of the invention.

Claims (8)

1. A method for evaluating the stability and reliability of a roadbed soil slope is characterized by comprising the following steps:
s1: acquiring roadbed soil slope parameters;
s2: determining a slope stability safety coefficient, a slope material effect factor, a first slope geometric effect factor and a second slope geometric effect factor according to the roadbed soil slope parameters;
s3: determining a slope stability reliability index according to the roadbed soil slope parameter, the slope stability safety coefficient, the slope material effect factor, the first slope geometric effect factor and the second slope geometric effect factor;
s4: and evaluating the stability and reliability of the roadbed soil slope according to the slope stability and reliability index and the slope stability and safety coefficient.
2. The method for evaluating the stability and reliability of the roadbed soil slope according to claim 1, wherein in the step S1, the parameters of the roadbed soil slope comprise the geometric parameters of the roadbed slope, namely slope height h, slope ratio 1: m and volume-weight mean value of soil body
Figure FDA0003572551830000011
Volume weight coefficient of variation delta of soil bodyγAverage value of cohesive force of soil body shear strength parameter
Figure FDA0003572551830000012
Cohesive force variation coefficient delta of soil shear strength parametercMean internal friction angle
Figure FDA0003572551830000013
And coefficient of variation of internal friction angle
Figure FDA0003572551830000014
Wherein m represents a slope coefficient of the side slope.
3. The method for evaluating the stability and reliability of a roadbed soil slope according to claim 2, wherein in the step S1, a soil mass shear strength parameter cohesive force average value with a slope ratio of 1: m-1: 1.5 is adopted
Figure FDA0003572551830000015
Average value of internal friction angle of kPa
Figure FDA0003572551830000016
The roadbed soil slope of (1), wherein,
Figure FDA0003572551830000017
and m represents the slope coefficient of the side slope.
4. The method for evaluating the stability and reliability of the roadbed soil slope as claimed in claim 2, wherein in the step S2, the concrete method for determining the slope stability safety coefficient comprises the following steps: according to the geometric parameters of the roadbed side slope, the slope height h, the slope rate 1: m and the volume weight mean value of the soil body
Figure FDA0003572551830000018
Average value of cohesive force of soil shear strength
Figure FDA0003572551830000019
And mean value of internal friction angle
Figure FDA00035725518300000110
Slope stability safety coefficient F determined by Fellenius limit balancing methodsWherein m represents a slope coefficient of the side slope.
5. The method for evaluating reliability of slope stability of roadbed soil according to claim 1, wherein in step S2, the formula for calculating the effect factor ζ of the slope material is as follows:
ζ＝1.526/(δc+0.012)
wherein, deltacAnd (4) representing the cohesive force variation coefficient of the soil shear strength parameter.
6. The method for evaluating reliability of slope stability of roadbed soil according to claim 1, wherein in step S2, the first slope geometric effect factor eta is1The calculation formula of (2) is as follows:
η1＝0.5h+1.37
wherein h represents the geometric parameter slope height of the roadbed side slope;
second slope geometric effect factor eta2The calculation formula of (2) is as follows:
η2＝(4h-1.25+0.8)。
7. the method for evaluating reliability of roadbed soil slope stability according to claim 1, wherein in step S3, the calculation formula of the slope stability reliability index β is:
Figure FDA0003572551830000021
where ζ represents the slope material effect factor, η1Representing the first slope geometric effect factor, eta2A second slope geometric effect factor is represented,
Figure FDA0003572551830000022
denotes the mean value of internal friction angle, FsThe stability safety factor of the side slope is shown,
Figure FDA0003572551830000023
and the average value of the cohesive force of the soil shear strength is shown.
8. The method for evaluating the stability and reliability of a roadbed soil slope according to claim 1, wherein in the step S4, the specific method for evaluating the stability and reliability of the roadbed soil slope is as follows: if the slope stability and reliability index beta is larger than the set control value beta]And the safety coefficient F of slope stabilitysAnd if not less than 1.377, the stability and reliability of the side slope meet the requirement, otherwise, the stability and reliability of the side slope do not meet the requirement.
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