CN116910878A - Method, system and electronic equipment for analyzing dam slope stability of earth-rock dam - Google Patents
Method, system and electronic equipment for analyzing dam slope stability of earth-rock dam Download PDFInfo
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Abstract
The invention discloses a method, a system and electronic equipment for analyzing dam slope stability of an earth-rock dam, and relates to the technical field of electronic digital data processing. According to the invention, the conversion relation between the nonlinear strength parameter and the linear strength calculation parameter of the earth-rock dam is established through deduction, and the nonlinear strength index on the sliding surface is replaced by the equivalent linear strength index (namely equivalent cohesive force and equivalent internal friction angle), so that the dam slope reliability index can be calculated rapidly, and the dam slope stability is evaluated.
Description
Technical Field
The invention relates to the technical field of electronic digital data processing, in particular to a method, a system and electronic equipment for analyzing dam slope stability of an earth-rock dam.
Background
The stability of the dam slope of the earth-rock dam is an important work in the engineering design process, and the traditional dam slope stability analysis adopts a single safety factor method, namely a safety factor F expressed by the ratio of resistance and action effect. In this definition method, both the resistance and the acting force are represented by a constant value, and uncertainty factors such as a calculation model and calculation parameters cannot be considered. The traditional single safety coefficient method can not fully reflect the design difference and sensitivity, and the allowable value of the safety coefficient is also determined by engineering experience, so that the traditional safety coefficient can not fully reflect the design difference and sensitivity. The reliability analysis method can provide a systematic and quantitative solution for uncertainty factors contained in geotechnical engineering. In order to consider the uncertainty of material parameters when analyzing dam slope stability, it is necessary to recheck and calculate the stability by a reliability method on the basis of the traditional safety coefficient method.
In general, the shear strength index of the soil is generally calculated by using a linear molar coulomb formula, wherein the calculation formula is as follows:
where τ is the shear strength of the earth, c is the effective stress shear strength cohesion, σ n Is the normal effective stress of the device,is the effective stress shear strength friction angle.
The existing specification (grinding type earth-rock dam design specification) NB/T10872-2021 specifies that coarse particle materials such as rock-fill, broken stone, sand gravel and the like are calculated by adopting nonlinear shear strength indexes, and the calculation formula is as follows:
wherein sigma 3 Is a small principal stress, which is a small principal stress,is an internal friction angle at atmospheric pressure, < >>Is sigma (sigma) 3 Increase the internal friction angle under one logarithmic period +.>Reduced value of p a Is at atmospheric pressure.
When the stable and reliable index of the dam slope is calculated, if the nonlinear intensity index shown in the formula (2) is adopted, the calculation of the reliable index of the earth-rock dam is complicated.
Disclosure of Invention
In order to solve the problems in the prior art, the invention provides a method, a system and electronic equipment for analyzing the dam slope stability of an earth-rock dam.
In order to achieve the above object, the present invention provides the following solutions:
a method for analyzing the stability of a dam slope of an earth-rock dam comprises the following steps:
determining a safety coefficient based on the action effect and the resistance of the earth-rock dam;
determining the mean value of the safety coefficient and the standard deviation of the safety coefficient based on the equivalent cohesive force and the equivalent internal friction angle;
determining a reliable index of the dam slope of the earth-rock dam based on the mean value of the safety coefficient and the standard deviation of the safety coefficient;
and analyzing the stability of the dam slope of the earth-rock dam based on the reliability index.
Optionally, determining the safety factor by a bispride method which takes into account forces between bars; the safety coefficient is as follows:
wherein F is a safety coefficient, W is the gravity of the soil strip, V is the vertical inertial force, u is the pore pressure acting on the bottom surface of the soil strip, alpha is the included angle between the gravity line of the strip block and the radius passing through the midpoint of the bottom surface of the strip, b is the width of the soil strip, c 'is the standard value of the adhesive force of the effective stress shear strength of the bottom surface of the soil strip, phi' is the standard value of the friction angle of the effective stress shear strength of the bottom surface of the soil strip, M c The moment of the horizontal inertia force of the earthquake to the circle center is represented by R, and R is the radius of an arc.
Optionally, the mean value of the safety coefficient is determined by means of mean value calculation of equivalent cohesive force and equivalent internal friction angle.
Optionally, the standard deviation of the safety coefficient is determined according to the following formula:
in sigma F As standard deviation of safety factor DeltaF i I=1, 2,..n, is the average value of the safety coefficient of the i-th soil layer.
Optionally, the determination formula of the reliability index is:
wherein beta is a reliable index, sigma F Standard deviation of safety coefficient, mu F Is the mean value of the safety coefficient.
Optionally, the determination formula of the equivalent cohesive force is:
wherein, c * In order for the equivalent cohesive force to be achieved,is an internal friction angle at atmospheric pressure, < ->To increase the decrease in friction angle within the effective stress shear strength for one log period, σ 3 Is the effective small principal stress of soil mass, p a Is atmospheric pressure, sigma n Is the normal effective stress of soil body, sigma n,0 The normal effective stress of the soil body at the 0 point is shown, and d is the derivative sign.
Alternatively, the equivalent internal friction angle is determined by the formula:
in the method, in the process of the invention,is equivalent to the internal friction angle->Is an internal friction angle at atmospheric pressure, < ->To increase the decrease in friction angle within the effective stress shear strength for one log period, σ 3 Is the effective small principal stress of soil mass, p a Is atmospheric pressure, sigma n Is the normal effective stress of soil body, sigma n,0 Is the normal effective stress of the soil body at 0 point, d is the derivative sign, sigma 3,0 The effective small principal stress of the soil body at the 0 point is obtained; the effective minor principal stress is a stress less than the effective stress set point.
The earth-rock dam slope stability analysis system is applied to the earth-rock dam slope stability analysis method; the system comprises:
the safety coefficient determining module is used for determining the safety coefficient based on the action effect and the resistance of the earth-rock dam;
the mean value-standard deviation determining module is used for determining the mean value of the safety coefficient and the standard deviation of the safety coefficient based on the equivalent cohesive force and the equivalent internal friction angle;
the reliable index determining module is used for determining the reliable index of the dam slope of the earth-rock dam based on the mean value of the safety coefficient and the standard deviation of the safety coefficient;
the equivalent linear strength determining module is used for determining the equivalent linear strength of the earth-rock dam based on the equivalent cohesive force and the equivalent internal friction angle;
and the stability analysis module is used for analyzing the stability of the dam slope of the earth-rock dam based on the reliability index.
An electronic device, comprising:
a memory for storing a computer program;
and the processor is connected with the memory and is used for calling and executing the computer program so as to implement the method for analyzing the dam slope stability of the earth-rock dam.
According to the specific embodiment provided by the invention, the invention discloses the following technical effects:
according to the invention, the conversion relation between the nonlinear strength parameter and the linear strength calculation parameter of the earth-rock dam is established through deduction, and the nonlinear strength index on the sliding surface is replaced by the equivalent linear strength index (namely equivalent cohesive force and equivalent internal friction angle), so that the dam slope reliability index can be calculated rapidly, and the dam slope stability is evaluated.
Drawings
In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings that are needed in the embodiments will be briefly described below, and it is obvious that the drawings in the following description are only some embodiments of the present invention, and other drawings may be obtained according to these drawings without inventive effort for a person skilled in the art.
FIG. 1 is a flow chart of a method for analyzing the stability of a dam slope of an earth-rock dam;
FIG. 2 is a schematic diagram of the calculation of the anti-slip stability of the arc sliding bar division method provided by the invention; fig. 2 (a) is a schematic drawing of stripe, and fig. 2 (b) is a schematic drawing of stripe block load.
Detailed Description
The following description of the embodiments of the present invention will be made clearly and completely with reference to the accompanying drawings, in which it is apparent that the embodiments described are only some embodiments of the present invention, but not all embodiments. All other embodiments, which can be made by those skilled in the art based on the embodiments of the invention without making any inventive effort, are intended to be within the scope of the invention.
The invention aims to provide a method, a system and electronic equipment for analyzing dam slope stability of an earth-rock dam, wherein nonlinear strength indexes on a slip surface are replaced by equivalent linear strength indexes, so that dam slope reliability indexes are rapidly calculated, and further effective analysis of dam slope stability is realized.
In order that the above-recited objects, features and advantages of the present invention will become more readily apparent, a more particular description of the invention will be rendered by reference to the appended drawings and appended detailed description.
As shown in FIG. 1, the method for analyzing the stability of the dam slope of the earth-rock dam provided by the invention comprises the following steps:
step 100: the safety factor is determined based on the action effect and resistance of the earth-rock dam.
Step 101: the mean value of the safety coefficient and the standard deviation of the safety coefficient are determined based on the equivalent cohesion and the equivalent internal friction angle.
Step 102: and determining the reliable index of the dam slope of the earth-rock dam based on the mean value of the safety coefficient and the standard deviation of the safety coefficient.
Step 103: and analyzing the stability of the dam slope of the earth-rock dam based on the reliability index.
In the practical application process, the Taylor series expansion of the formula (2) is mainly used for deducing and establishing the conversion relation between the nonlinear strength parameter and the linear strength calculation parameter of the earth-rock dam, namely, the relation between the formula (2) and the formula (1) is established, and based on the relation, the concrete implementation process of the earth-rock dam slope stability analysis method provided by the invention can be as follows:
the unified standard of the reliability design of the Chinese engineering structure (GB 50153-2008) requires that the action effect S and the resistance R of a building are compared, and the corresponding limit state function G is as follows:
G=R(·)-S(·)=0 (3)
wherein R (&) and S (&) are random variable functions of the action effect.
Under the assumption that the limit state function G obeys normal distribution, a reliable index is defined as β:
wherein mu G Sum sigma G The mean value and standard deviation of the limit state function G, respectively.
In the reliability analysis of the earth-rock dam of the present invention, only the cohesion c and the internal friction angle of the earth are consideredBased on this, equation (2) can be expressed as:
G=R(c 1 ,f 1 ,c 2 ,f 2 ,..,c n ,f n )-S=0 (5)
wherein the cohesion c and the internal friction coefficient f are random variables for calculating the resistance function R (& gt), and the internal friction coefficient f is the internal friction angleTangent of (i.e.)>n is the number of different soil layers.
For the stability of the dam slope of the earth-rock dam, the safety coefficient F is defined as:
the limit state function G is:
G=F-1=0 (7)
according to the formula (4), the reliable index beta of the dam slope of the earth-rock dam can be defined as follows:
wherein mu F Sum sigma F Is the mean value and standard deviation of the safety coefficient.
The calculation process of the anti-slip stability of the arc sliding strip method is shown in figure 2 according to the rolling earth and rockfill dam design Specification NB/T10872-2021. The safety factor F is calculated by adopting a simplified Chinese zodiac method which takes the action force between the bars into account, and is as follows:
wherein F is a safety coefficient, W is the gravity of the soil strip, V is the vertical inertial force, u is the pore pressure acting on the bottom surface of the soil strip, alpha is the included angle between the gravity line of the strip block and the radius passing through the midpoint of the bottom surface of the strip, b is the width of the soil strip, c 'is the standard value of the adhesive force of the effective stress shear strength of the bottom surface of the soil strip, phi' is the standard value of the friction angle of the effective stress shear strength of the bottom surface of the soil strip, M c The moment of the horizontal inertia force of the earthquake to the circle center is represented by R, and R is the radius of an arc. In fig. 2, Q is the seismic horizontal force.
In the formula (9), the material strength parameter test is adopted to obtain the parameter cohesion c and the internal friction angleThe mean value calculation of (1) is the safety coefficient mean mu F 。
Standard deviation sigma of safety factor F The simple analytical method using j.m. duncan was calculated as follows:
1) By using test systemsMetering method, estimating cohesion c and internal friction angle by empirical mean and coefficient of variation or "3 sigma criterion" methodStandard deviation of (2).
2) Under the condition that other parameters are kept unchanged as most possible values, the safety factor F+ value and the safety factor F-value are calculated by adding one standard deviation to the average value of each parameter and subtracting one standard deviation, namely F+ represents the average value of each parameter plus one standard deviation, and F-represents the average value of each parameter minus one standard deviation. If there are m parameters in total, 2m calculations are performed, which will result in m values of the safety factor f+ and m values of the safety factor F-. The mean variable, Δf, is calculated from the safety factor f+ and F-values of each parameter, based on which the standard deviation of the safety factor can be calculated as:
ΔF i i=1, 2,..n, is the average variable of the safety coefficient of the ith soil layer.
In soil mechanics, cohesion c and internal friction angleThe shear strength index tau of the soil is used for representing. The shear strength index tau of the soil is usually calculated by adopting a linear molar coulomb formula, and the concrete expression is shown in a formula (1).
For non-clay soil, its cohesion c is 0. Equation (1) can be simplified as:
the existing specification (grinding type earth-rock dam design specification) NB/T10872-2021 specifies that coarse particle materials such as rock-fill, broken stone, sand gravel and the like are calculated by adopting nonlinear shear strength indexes, and the calculation formula is as follows:
wherein sigma 3 Is the effective small principal stress of the soil body,is a friction angle at atmospheric pressure, < >>Is of small principal stress sigma 3 Increase the internal friction angle under one logarithmic period +.>Is a reduced value of (2).
To reduce the problem of difficult convergence caused by non-linear parameters, equation (12) is converted into equivalent linear intensity parameters.
Bringing formula (12) into formula (11), yields:
formula (13) is shown in sigma n,o The Taylor series expansion is adopted at the position, and the method is obtained:
let DeltaSigma n =(σ n -σ n,0 ) Obtaining:
let sigma n =0, yielding:
wherein c is the equivalent cohesion of the coarse particles.
Bringing formula (16) into formula (15), yields:
comparing formula (7) with formula (17), it is possible to obtain:
in the method, in the process of the invention,is the equivalent internal friction angle of the coarse particles.
And sigma (sigma) n Sum sigma 3 The relationship of (2) can be expressed as:
therefore, there are:
the equivalent linear strength τ of the final coarse particles is:
equivalent internal friction angle of coarse particlesAnd substituting equivalent linear intensity tau into the formulas (5) to (10), and calculating a reliable index, thereby realizing the purpose of evaluating the stability analysis of the dam slope of the earth-rock dam by adopting nonlinear intensity parameters.
Based on the description, the method converts the nonlinear intensity parameters of the earth and rockfill dam into equivalent indexes of linear parameters, and then calculates the equivalent indexes by combining a reliability calculation method, so that the dam slope reliability index can be calculated quickly, and the dam slope stability can be evaluated.
The invention further provides a system for analyzing the stability of the dam slope of the earth-rock dam, which is applied to the method for analyzing the stability of the dam slope of the earth-rock dam. The system comprises:
and the safety coefficient determining module is used for determining the safety coefficient based on the action effect and the resistance of the earth-rock dam.
And the mean value-standard deviation determining module is used for determining the mean value of the safety coefficient and the standard deviation of the safety coefficient based on the equivalent cohesive force and the equivalent internal friction angle.
The reliable index determining module is used for determining the reliable index of the dam slope of the earth-rock dam based on the mean value of the safety coefficient and the standard deviation of the safety coefficient.
And the equivalent linear strength determining module is used for determining the equivalent linear strength of the earth-rock dam based on the equivalent cohesive force and the equivalent internal friction angle.
And the stability analysis module is used for analyzing the stability of the dam slope of the earth-rock dam based on the reliability index.
Further, the present invention also provides an electronic device, including:
and a memory for storing a computer program.
And the processor is connected with the memory and is used for retrieving and executing a computer program to implement the method for analyzing the dam slope stability of the earth-rock dam.
Furthermore, the computer program in the above-described memory may be stored in a computer-readable storage medium when it is implemented in the form of a software functional unit and sold or used as a separate product. Based on this understanding, the technical solution of the present invention may be embodied essentially or in a part contributing to the prior art or in the form of a software product stored in a storage medium, comprising several instructions for causing a computer device (which may be a personal computer, a server or a network device, etc.) to perform all or part of the steps of the method according to the embodiments of the present invention. And the aforementioned storage medium includes: various media capable of storing program codes, such as a U disk, a mobile hard disk, a read-only memory, a random access memory, a magnetic disk or an optical disk.
In the present specification, each embodiment is described in a progressive manner, and each embodiment is mainly described in a different point from other embodiments, and identical and similar parts between the embodiments are all enough to refer to each other. For the system disclosed in the embodiment, since it corresponds to the method disclosed in the embodiment, the description is relatively simple, and the relevant points refer to the description of the method section.
The principles and embodiments of the present invention have been described herein with reference to specific examples, the description of which is intended only to assist in understanding the methods of the present invention and the core ideas thereof; also, it is within the scope of the present invention to be modified by those of ordinary skill in the art in light of the present teachings. In view of the foregoing, this description should not be construed as limiting the invention.
Claims (9)
1. The method for analyzing the dam slope stability of the earth-rock dam is characterized by comprising the following steps of:
determining a safety coefficient based on the action effect and the resistance of the earth-rock dam;
determining the mean value of the safety coefficient and the standard deviation of the safety coefficient based on the equivalent cohesive force and the equivalent internal friction angle;
determining a reliable index of the dam slope of the earth-rock dam based on the mean value of the safety coefficient and the standard deviation of the safety coefficient;
and analyzing the stability of the dam slope of the earth-rock dam based on the reliability index.
2. The method for analyzing the dam slope stability of the earth-rock dam according to claim 1, wherein the safety coefficient is determined by a bishper method taking into account forces between bars; the safety coefficient is as follows:
wherein F is a safety coefficient, W is the gravity of the soil strip, V is the vertical inertial force, u is the pore pressure acting on the bottom surface of the soil strip, alpha is the included angle between the gravity line of the strip block and the radius passing through the midpoint of the bottom surface of the strip, b is the width of the soil strip, c 'is the standard value of the adhesive force of the effective stress shear strength of the bottom surface of the soil strip, phi' is the standard value of the friction angle of the effective stress shear strength of the bottom surface of the soil strip, M c The moment of the horizontal inertia force of the earthquake to the circle center is represented by R, and R is the radius of an arc.
3. The method for analyzing the dam slope stability of the earth-rock dam according to claim 1, wherein the mean value of the safety coefficient is determined by means of mean value calculation of equivalent cohesion and equivalent internal friction angle.
4. The method for analyzing the stability of the dam slope of the earth-rock dam according to claim 1, wherein the standard deviation of the safety coefficient is determined according to the following formula:
in sigma F As standard deviation of safety factor DeltaF i I=1, 2,..n, is the average value of the safety coefficient of the i-th soil layer.
5. The method for analyzing the stability of a dam slope of an earth-rock dam according to claim 1, wherein the determination formula of the reliability index is:
wherein beta is a reliable index, sigma F Standard deviation of safety coefficient, mu F Is the mean value of the safety coefficient.
6. The method for analyzing the dam slope stability of an earth-rock dam according to claim 1, wherein the equivalent cohesion is determined by the following formula:
wherein, c * In order for the equivalent cohesive force to be achieved,is an internal friction angle at atmospheric pressure, < ->To increase the decrease in friction angle within the effective stress shear strength for one log period, σ 3 Is the effective small principal stress of soil mass, p a Is atmospheric pressure, sigma n Is the normal effective stress of soil body, sigma n,0 The normal effective stress of the soil body at the 0 point is shown, and d is the derivative sign.
7. The method for analyzing the stability of a dam slope of an earth-rock dam according to claim 1, wherein the determination formula of the equivalent internal friction angle is:
in the method, in the process of the invention,is equivalent to the internal friction angle->Is an internal friction angle at atmospheric pressure, < ->To increase the effective stress resistance of one log periodReduced value of internal friction angle of shear strength, sigma 3 Is the effective small principal stress of soil mass, p a Is atmospheric pressure, sigma n Is the normal effective stress of soil body, sigma n,0 Is the normal effective stress of the soil body at 0 point, d is the derivative sign, sigma 3,0 The effective small principal stress of the soil body at the 0 point is obtained; the effective minor principal stress is a stress less than the effective stress set point.
8. An earth-rock dam slope stability analysis system, characterized by being applied to the earth-rock dam slope stability analysis method according to any one of claims 1-7; the system comprises:
the safety coefficient determining module is used for determining the safety coefficient based on the action effect and the resistance of the earth-rock dam;
the mean value-standard deviation determining module is used for determining the mean value of the safety coefficient and the standard deviation of the safety coefficient based on the equivalent cohesive force and the equivalent internal friction angle;
the reliable index determining module is used for determining the reliable index of the dam slope of the earth-rock dam based on the mean value of the safety coefficient and the standard deviation of the safety coefficient;
the equivalent linear strength determining module is used for determining the equivalent linear strength of the earth-rock dam based on the equivalent cohesive force and the equivalent internal friction angle;
and the stability analysis module is used for analyzing the stability of the dam slope of the earth-rock dam based on the reliability index.
9. An electronic device, comprising:
a memory for storing a computer program;
a processor, connected to the memory, for retrieving and executing the computer program to implement the earth-rock dam slope stability analysis method according to any one of claims 1-7.
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CN117745466B (en) * | 2024-02-21 | 2024-04-26 | 中国有色金属工业昆明勘察设计研究院有限公司 | Tailing pond counting intelligent operation and maintenance system |
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