Slope safety evaluation method, system and device considering anisotropic damage of columnar jointed rock mass and medium

Abstract

The invention provides a side slope safety evaluation method, system and device considering anisotropic damage of columnar jointed rock mass and a medium, a first main strain and a third main strain are used as damage evaluation factors, and threshold values of the damage evaluation factors are calculated; calculating an evaluation factor value of each unit through finite difference; judging whether the first main strain and the third main strain exceed threshold values or not, and calculating a unit damage variable value; and obtaining the damage distribution condition of the columnar jointed rock slope through the damage variable value of each unit. According to the method, the transverse anisotropy of the columnar joint rock slope and the properties of the rock slope are considered, the stability of the rock slope is described by adopting a damage concept, the first principal strain and the third principal strain of the rock mass are introduced as damage evaluation factors, the anisotropy of the columnar joint is fully reflected, and the stability of the rock slope is evaluated. The damage condition of the columnar jointed rock slope can be reflected more accurately, and the method has important engineering significance and application value for stability evaluation of the columnar jointed rock slope and prevention and reinforcement of the slope.

Description

Technical Field

[0001] The present invention belongs to the technical field of slope engineering, and in particular relates to a slope safety evaluation method, system, device and medium considering anisotropic damage of columnar jointed rock mass. Background Art

[0002] Columnar joints are primary tensile fractured rock masses with regular or irregular shapes formed during the condensation of volcanic rocks. Due to the obvious mosaic joints of columnar joints, phenomena such as relaxation and caving are likely to occur after excavation, which makes columnar jointed rock slopes have an important impact on the construction of dams. Therefore, it is of great significance to analyze the safety and stability of columnar jointed rock slopes.

[0003] At present, the analysis of rock slopes mainly still uses the Mohr-Coulomb criterion. The Mohr-Coulomb criterion mentions that when the soil exceeds the strength limit and enters the plastic zone, but since the application of the concept of the plastic zone in rock masses remains to be discussed, damage can more accurately describe the quality of rock masses.

[0004] Therefore, there is an urgent need to provide a slope safety evaluation method considering anisotropic damage of columnar jointed rock mass to judge the damage of columnar jointed rock slopes. Summary of the Invention

[0005] The first object of the present invention is to provide a slope safety evaluation method considering anisotropic damage of columnar jointed rock mass in order to accurately analyze the safety of columnar jointed rock slopes and better describe its safety in view of the mechanical properties of columnar joints and the nature of rock slopes themselves.

[0006] To this end, the above object of the present invention is achieved through the following technical solutions:

[0007] A slope safety evaluation method considering anisotropic damage of columnar jointed rock mass, characterized in that the method includes the following steps:

[0008] S1. Taking the first principal strain and the third principal strain as damage evaluation factors, and respectively calculating the threshold ε 01 of the first principal strain and the threshold ε 03 of the third principal strain according to the uniaxial compressive strength and deformation modulus of the rock mass;

[0009] S2. Through finite element simulation, using finite difference to calculate the evaluation factor values ε 1 and ε 3 of each calculation unit;

[0010] S3. Comparing the evaluation factor values of the calculation unit with the threshold values to judge the damage situation of the unit and calculating the unit damage variable value;

[0011] S4. Traverse the calculation units, and obtain the damage distribution of the columnar jointed rock slope through the damage variable values of each unit.

[0012] While adopting the above technical solution, the present invention can also adopt or combine the following technical solutions:

[0013] As a preferred technical solution of the present invention: In step S1, considering the anisotropy of columnar joints, the deformation gap between the main axis direction of the column and the direction perpendicular to the main axis of the column is obvious, that is, the elastic modulus gap is large, while the elastic modulus gap in the direction perpendicular to the main axis of the column is small. Therefore, the first principal strain and the third principal strain are selected as the damage evaluation factors.

[0014] As a preferred technical solution of the present invention: In step S1, the first principal strain threshold ε 01 can be obtained by the formula ε 01 =σ c1 / E 1 ,

[0015] where σ c1 is the compressive strength of the columnar jointed rock mass along the main axis direction, and E 1 is the elastic modulus of the columnar jointed rock mass along the main axis direction.

[0016] As a preferred technical solution of the present invention: In step S1, the third principal strain threshold ε 03 can be obtained by the formula ε 03 =σ c3 / E 3 ,

[0017] where σ c3 is the compressive strength of the columnar jointed rock mass along the direction perpendicular to the main axis, and E 3 is the elastic modulus of the columnar jointed rock mass along the direction perpendicular to the main axis.

[0018] As a preferred technical solution of the present invention: In step S2, the evaluation factor values ε 1 and ε 3 of the calculation unit are respectively the first principal strain and the third principal strain of the calculation unit in space, and are automatically calculated by the calculation software.

[0019] As a preferred technical solution of the present invention: In step S3, the comparison between the evaluation factor value of the calculation unit and the threshold includes:

[0020] (1). When both the first principal strain and the third principal strain of the calculation unit are less than the threshold, that is, ε 1 <ε 01 and ε 3 <ε 03 , it is determined that the calculation unit is not damaged and the slope safety is relatively high;

[0021] (2) When one of the first principal strain and the third principal strain of the calculation unit is greater than or equal to the threshold value, i.e., ε 1 ≥ε 01 or ε 3 ≥ε 03 then it is determined that the calculation unit is damaged, and the slope safety changes according to the degree of damage.

[0022] As a preferred technical solution of the present invention: in step S3, the calculation method of the damage variable D is as follows:

[0023] (1) When the calculation rock mass unit is not damaged, then D = 0;

[0024] (2) When the calculation rock mass unit is damaged, the calculation formula of the rock mass damage variable D is as follows:

[0025]

[0026] where the damage variable D ∈ [0, 1], and a and b are rock mass material-related parameters. The operations involving angle brackets are:

[0027]

[0028] The second object of the present invention is to provide a slope safety evaluation system considering the anisotropic damage of columnar jointed rock mass.

[0029] To this end, the above object of the present invention is achieved by the following technical solutions:

[0030] A slope safety evaluation system considering the anisotropic damage of columnar jointed rock mass, characterized in that: the system includes the following modules:

[0031] - Damage evaluation factor threshold calculation module, which is used to use the first principal strain and the third principal strain as damage evaluation factors, and calculate the threshold value ε 01 of the first principal strain and the threshold value ε 03 of the third principal strain respectively according to the rock mass compressive strength and deformation modulus;

[0032] - Calculation unit evaluation factor value calculation module, which is used to calculate the evaluation factor values ε 1 and ε 3 of each calculation unit by finite element simulation and using finite difference;

[0033] - Unit damage variable value calculation module, which is used to compare the evaluation factor value of the calculation unit with the threshold value, judge the unit damage situation, and calculate the unit damage variable value;

[0034] - A module for determining the damage distribution of a columnar jointed rock slope, which is used to traverse the calculation units and obtain the damage distribution of the columnar jointed rock slope through the damage variable values of each unit.

[0035] The third object of the present invention is to provide a slope safety evaluation device considering the anisotropic damage of columnar jointed rock masses. To achieve this, the above object of the present invention is realized through the following technical solutions:

[0036] A slope safety evaluation device considering the anisotropic damage of columnar jointed rock masses, characterized in that the device includes:

[0037] - At least one processor;

[0038] - At least one memory for storing at least one computer program;

[0039] The processor executes the computer program on the memory to implement the steps of the slope safety evaluation method considering the anisotropic damage of columnar jointed rock masses as described above.

[0040] Another object of the present invention is to provide a computer storage medium.

[0041] To achieve this, the above object of the present invention is realized through the following technical solutions:

[0042] A computer storage medium, characterized in that a computer program is stored on the computer storage medium, and the computer program is run by a computer to implement the steps of the slope safety evaluation method considering the anisotropic damage of columnar jointed rock masses as described above.

[0043] The present invention provides a slope safety evaluation method, system, device and medium considering the anisotropic damage of columnar jointed rock masses. The first principal strain and the third principal strain are used as damage evaluation factors, and their thresholds are calculated; the evaluation factor values of each unit are calculated by finite difference; it is judged whether the first principal strain and the third principal strain exceed the thresholds, and the damage variable value of the unit is calculated; the damage distribution of the columnar jointed rock slope is obtained through the damage variable values of each unit. The present invention considers the transverse isotropy of the columnar jointed rock slope and the properties of the rock slope itself, uses the damage concept to describe the stability of the rock slope, introduces the first principal strain and the third principal strain of the rock mass as damage evaluation factors, fully reflects the anisotropy of the columnar joints, can more accurately reflect the damage situation of the columnar jointed rock slope, and has important engineering significance and application value for the stability evaluation of the columnar jointed rock slope and the prevention and reinforcement of the slope. In addition to calculating the damaged area of the slope rock mass, the present invention can also judge the most dangerous surface of the slope, and provide prevention and reinforcement measures for the stability safety problems of the columnar jointed rock slope. Description of the Drawings

[0044] Figure 1 It is the flowchart of the slope safety evaluation method considering the anisotropic damage of columnar jointed rock mass provided by the present invention.

[0045] Figure 2 It is the main axis deflection diagram of columnar joints.

[0046] Figure 3 It is the damage distribution diagram of columnar jointed rock slope obtained by the method according to the present invention. Specific embodiments

[0047] The technical solution of the present invention will be further described below with reference to the accompanying drawings.

[0048] A slope safety evaluation method considering the anisotropic damage of columnar jointed rock mass provided by the present invention is for the anisotropic research of columnar joints. As Figure 1 shown, Figure 1 It is the flowchart of the slope safety evaluation method considering the anisotropic damage of columnar jointed rock mass provided by the present invention. Taking a columnar jointed rock slope in a hydropower development area in the southwest as an example, it specifically includes the following steps:

[0049] S1. Taking the first principal strain and the third principal strain as damage evaluation factors, calculating their thresholds ε 01 and ε 03 ;

[0050] Considering the anisotropy of columnar joints, the deformation gap between the main axis direction of the column and the direction perpendicular to the main axis of the column is obvious, that is, the elastic modulus gap is large, while the elastic modulus gap in the direction perpendicular to the main axis of the column is small. Therefore, the first principal strain and the third principal strain are selected as damage evaluation factors.

[0051] The threshold ε 01 of the first principal strain can be calculated by the formula ε 01 =σ c1 / E 1 , where σ c1 is the compressive strength of the rock mass, and E 1 is the elastic modulus of the columnar jointed rock mass along the main axis direction.

[0052] The threshold ε 03 of the third principal strain can be calculated by the formula ε 03 =σ c3 / E 3 , where σ c3 is the compressive strength of the rock mass, and E 3 is the elastic modulus of the columnar jointed rock mass along the direction perpendicular to the main axis.

[0053] E 1 and E 3 can be obtained asFigure 2 Obtained from the in-situ rigid bearing plate method test along the 1-axis direction, or obtained from the in-situ rigid bearing plate method test along the z-axis direction E z and E x , are obtained by the following formula transformation:

[0054]

[0055] S2. Through finite element simulation, the evaluation factor values ε of each calculation unit are calculated using the finite difference method 1 and ε 3 .

[0056] The evaluation factor values ε of the calculation unit 1 and ε 3 are respectively the first principal strain and the third principal strain of the calculation unit in space, and are automatically calculated by the calculation software.

[0057] S3. By comparing the evaluation factor value of the calculation unit with the threshold value, the damage condition of the unit is judged, and the damage variable value of the unit is calculated;

[0058] Specifically, it includes the following steps:

[0059] S31. Judgment of damage condition:

[0060] S311. When both the first principal strain and the third principal strain of the calculation unit are less than the threshold value, that is, ε 1 <ε 01 and ε 3 <ε 03 , it is judged that the calculation unit has not been damaged, and the slope safety is relatively high;

[0061] S312. When one of the first principal strain and the third principal strain of the calculation unit is greater than or equal to the threshold value, that is, ε 1 ≥ε 01 or ε 3 ≥ε 03 , it is judged that the calculation unit has been damaged, and the slope safety changes according to the degree of damage;

[0062] S32. Calculation of damage variable D:

[0063] S321. When the calculated rock mass unit has not been damaged, then D = 0;

[0064] S322. When the calculated rock mass unit has been damaged, the calculation formula of the rock mass damage variable D is as follows:

[0065]

[0066] Among them, the damage variable D ∈ [0, 1], and a and b are parameters related to the rock mass material. The operations involving angle brackets are:

[0067]

[0068] S4. Traverse the calculation units to obtain the damage distribution of the columnar jointed rock slope through the damage variable values of each unit.

[0069] Figure 3 This is the range where the damage value D>0.29 in this example, which is mainly distributed on the surface after excavation. The main reason is that the unloading and rebound after the slope excavation cause damage to the rock mass.

[0070] In addition to calculating the damaged area of the slope rock mass, the present invention can also judge the most dangerous surface of the slope, and provide prevention, control and reinforcement measures for the stability safety problem of the columnar jointed rock slope.

[0071] The present invention fully considers the anisotropy of columnar joints and the nature of the rock slope itself, uses the damage concept to describe the stability of the rock slope, selects the first principal strain and the third principal strain as damage evaluation factors, fully reflects the anisotropy of columnar joints, can more accurately describe the stability of the columnar jointed rock slope, and has important engineering significance and application value for slope prevention and reinforcement.

[0072] The above specific implementation cases are used to explain the present invention, which are only the preferred embodiments of the present invention, rather than limiting the present invention. Any modifications, equivalent replacements, improvements, etc. made within the spirit and scope of the protection of the claims of the present invention fall within the protection scope of the present invention.

Claims

1. A slope safety evaluation method considering the anisotropic damage of columnar jointed rock mass, Characterized in that: The method includes the following steps: S1. Take the first principal strain and the third principal strain as damage evaluation factors, and calculate the threshold value ε of the first principal strain and the threshold value ε of the third principal strain respectively according to the uniaxial compressive strength and deformation modulus of the rock mass 01 and the threshold value ε of the third principal strain 03 ; S2. Through finite element simulation, the evaluation factor values ε of each calculation unit are calculated using finite differences 1 and ε 3 ; S3. Compare the evaluation factor value of the calculation unit with the threshold value, judge the damage situation of the unit, and calculate the damage variable value of the unit; S4. Traverse the calculation units, and obtain the damage distribution of the columnar jointed rock slope through the damage variable values of each unit.

2. The slope safety evaluation method considering the anisotropic damage of columnar jointed rock mass according to claim 1, Characterized in that: In step S1, considering the anisotropy of columnar joints, the deformation gap between the main axis direction of the column and the direction perpendicular to the main axis of the column is obvious, that is, the elastic modulus gap is large, while the elastic modulus gap in the direction perpendicular to the main axis of the column is small. Therefore, the first principal strain and the third principal strain are selected as the damage evaluation factors.

3. The slope safety evaluation method considering the anisotropic damage of columnar jointed rock mass according to claim 1, Characterized in that: In step S1, the first principal strain threshold ε 01 can be calculated by the formula ε 01 = σ c1 / E 1 , Among them, σ c1 is the compressive strength of the columnar jointed rock mass along the main axis direction, and E 1 is the elastic modulus of the columnar jointed rock mass along the main axis direction.

4. The slope safety evaluation method considering the anisotropic damage of columnar jointed rock mass according to claim 1, Characterized in that: In step S1, the third principal strain threshold ε 03 can be obtained from the formula ε 03 = σ c3 / E 3 , Among them, σ c3 is the compressive strength of the columnar jointed rock mass along the direction perpendicular to the main axis, and E 3 is the elastic modulus of the columnar jointed rock mass along the direction perpendicular to the main axis.

5. The slope safety evaluation method considering the anisotropic damage of columnar jointed rock mass according to claim 1, Characterized in that: In step S2, the evaluation factor value ε of the calculation unit is calculated. 1 and ε 3 are the first and third principal strains of the calculation unit in space respectively, and are automatically calculated by the calculation software.

6. The slope safety evaluation method considering the anisotropic damage of columnar jointed rock mass according to claim 1, Characterized in that: In step S3, the comparison between the evaluation factor value of the calculation unit and the threshold value includes: (1) When both the first principal strain and the third principal strain of the calculation unit are less than the threshold value, that is, ε 1 <ε 01 and ε 3 <ε 03 then it is judged that the calculation unit is not damaged and the slope safety is relatively high; (2) When one of the first principal strain and the third principal strain of the calculation unit is greater than or equal to the threshold, that is, ε 1 ≥ ε 01 or ε 3 ≥ ε 03 then it is determined that the calculation unit is damaged, and the slope safety changes according to the degree of damage.

7. The slope safety evaluation method considering the anisotropic damage of columnar jointed rock mass according to claim 1, Characterized in that: In step S3, the calculation method of the damage variable D is as follows: (1). When the calculated rock mass unit has not suffered damage, then D = 0; (2). When the calculated rock mass unit has suffered damage, the calculation formula of the rock mass damage variable D is as follows: Among them, the damage variable D ∈ [0, 1], a and b are rock mass material-related parameters, and the operations involving angle brackets are:

8. A slope safety evaluation system considering the anisotropic damage of columnar jointed rock mass, Characterized in that: The system includes the following modules: - Damage evaluation factor threshold calculation module, which is used to take the first principal strain and the third principal strain as damage evaluation factors, and calculate the threshold ε 01 of the first principal strain and the threshold ε 03 of the third principal strain respectively according to the uniaxial compressive strength and deformation modulus of the rock mass; - Calculation unit evaluation factor value calculation module, which is used to calculate the evaluation factor values ε of each calculation unit through finite element simulation and finite difference calculation 1 and ε 3 ; - Unit damage variable value calculation module, which is used to compare the evaluation factor value of the calculation unit with the threshold value, judge the damage situation of the unit, and calculate the damage variable value of the unit; - Columnar jointed rock slope damage distribution determination module, which is used to traverse the calculation units and obtain the damage distribution of the columnar jointed rock slope through the damage variable values of each unit.

9. A slope safety evaluation device considering the anisotropic damage of columnar jointed rock mass, Characterized in that: The device includes: - At least one processor; - At least one memory for storing at least one computer program; The processor executes the computer program on the memory to implement the steps of the slope safety evaluation method considering the anisotropic damage of columnar jointed rock mass as described in any one of claims 1-7.

10. A computer storage medium, Characterized in that: A computer program is stored on the computer storage medium, and the computer program is run by a computer to implement the steps of the slope safety evaluation method considering the anisotropic damage of columnar jointed rock mass as described in any one of claims 1-7.

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