Analysis method, system, terminal and medium for internal shear zone of composite sliding slope

By decomposing the composite sliding slope into the main sliding block and the resistance sliding block, establishing a mechanical equilibrium model, and calculating its geometric parameters and safety factor, the problem of not considering the internal shear resistance of the landslide body in the existing technology is solved, the accuracy of the stability analysis of the composite sliding slope is improved, and a new method for slope protection is provided.

CN115391891BActive Publication Date: 2025-09-30CHINA HYDROELECTRIC ENGINEERING CONSULTING GROUP CHENGDU RESEARCH HYDROELECTRIC INVESTIGATION DESIGN AND INSTITUTE
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Patent Information

Application Number
CN202211024583.2
Authority / Receiving Office
CN · China
Patent Type
Patents(China)
Current Assignee / Owner
Filing Date
2022-08-25
Publication Date
2025-09-30
Estimated Expiration
2042-08-25

AI Technical Summary

Technical Problem

In the existing technology, the rigid body limit equilibrium method fails to consider the obstructive effect of the internal shear resistance of the landslide body on the shear fracture surface of the composite sliding slope, resulting in the failure to reflect the internal shear deformation constraint mechanism of the composite sliding slope, affecting the accuracy of the stability analysis.

Method used

The rigid body limit equilibrium method is used to decompose the composite sliding slope into the main sliding block and the blocking sliding block. The corresponding mechanical equilibrium model is established. Considering the tangential stress and normal stress of the internal shear surface, the geometric parameters and safety factor of the composite sliding slope in the limit equilibrium state are calculated, and the sensitivity analysis of the rock mass strength parameters is carried out.

Benefits of technology

By determining the geometric parameters and minimum safety factor of the internal shear surface, a new method for calculating the stability of composite sliding slopes is provided, which improves the accuracy of the analysis and provides new ideas and methods for slope protection.

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Abstract

The present invention discloses a method, system, terminal, and medium for analyzing the internal shear zone of a composite sliding slope, relating to the technical field of rock mechanics analysis. The key points of the technical solution are: decomposing the composite sliding slope into a main sliding block and a blocking sliding block; considering the tangential stress and normal stress of the shear surface within the landslide body, establishing a first mechanical equilibrium model for the main sliding block and a second mechanical equilibrium model for the blocking sliding block based on the rigid body limit equilibrium method; combining the first and second mechanical equilibrium models to calculate the geometric parameter range of the internal shear surface of the composite sliding slope body under the limit equilibrium state; determining the correlation function between the geometric parameters of the internal shear surface and the safety factor of the composite sliding slope body based on the first and second mechanical equilibrium models; and determining the minimum safety factor based on the correlation function and the geometric parameter range. The present invention can determine the geometric parameters of the internal shear surface of the slope, thereby determining the minimum safety factor of the composite sliding slope body.
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Description

Technical Field

[0001] The present invention relates to the technical field of rock mechanics analysis, and more particularly to an analysis method, system, terminal and medium for a shear zone inside a composite sliding slope. Background Art

[0002] Unlike plane sliding and circular sliding, a compound sliding slope refers to a slope whose potential sliding surface is a composite shape with inflections, rather than a single, spatially continuous slope with a uniform attitude. The inflection in the shape of the potential sliding surface can have a positive impact on the overall stability of the landslide. When a slope with a compound bottom sliding interface begins to lose stability, the upper block becomes the main sliding zone, moving downward along the potential sliding surface, while the lower horizontal block, acting as the anti-slip zone, moves to the right along the sliding surface. A significant shift in direction occurs at the inflection point of the compound bottom sliding interface, accompanied by shear failure, which is hindered by the inherent shear resistance of the rock mass.

[0003] The existing rigid body limit equilibrium method does not consider the effect of the internal shear resistance of the landslide on the formation of the internal shear rupture surface. Therefore, the internal shear deformation constraint mechanism caused by the sliding surface transition is not reflected in the analysis process. Literature review and numerical simulation calculations show that shear zones are formed when composite sliding slopes fail.

[0004] Therefore, how to research and design an analysis method, system, terminal and medium for the internal shear zone of a composite sliding slope that can overcome the above-mentioned defects is a problem that we urgently need to solve. Summary of the Invention

[0005] In order to address the deficiencies in the prior art, the purpose of the present invention is to provide a method, system, terminal and medium for analyzing the internal shear zone of a composite sliding slope, which can determine the geometric parameters of the internal shear surface of the slope, thereby determining the minimum safety factor of the composite sliding slope body, and providing new ideas and methods for the stability calculation and slope protection of composite sliding slopes characterized by "gentle in front and steep in the back".

[0006] The above technical objectives of the present invention are achieved through the following technical solutions:

[0007] In a first aspect, a method for analyzing the internal shear zone of a composite sliding slope is provided, comprising the following steps:

[0008] Decompose the composite sliding slope into a main sliding block and a blocking sliding block;

[0009] Considering the tangential stress and normal stress of the shear surface inside the landslide, the first mechanical equilibrium model of the main slider and the second mechanical equilibrium model of the blocking slider are established based on the rigid body limit equilibrium method.

[0010] The geometric parameter range of the internal shear surface of the composite sliding slope body under the ultimate equilibrium state is calculated by combining the first mechanical equilibrium model and the second mechanical equilibrium model;

[0011] Determining the correlation function between the geometric parameters of the internal shear surface and the safety factor of the composite sliding slope body according to the first mechanical equilibrium model and the second mechanical equilibrium model;

[0012] The minimum safety factor is determined based on the correlation function and the range of geometric parameters.

[0013] Furthermore, the expression of the first mechanical equilibrium model is specifically:

[0014] N1sinα+X sinβ-T1cosα-Q cosβ=0

[0015] W1+X cosβT1sinα-N1cosα+Q sinβ=0

[0016]

[0017] Where, T1 and N1 are the tangential force and normal force of the main slider sliding surface respectively; × and Q are the tangential force and normal force of the internal shear surface respectively; W1 is the weight of the main slider; is the sliding surface friction angle; C0 is the sliding surface cohesion; L1 is the sliding surface length of the main slider; α is the angle between the main slider and the horizontal plane; β is the horizontal angle of the shear surface normal force; K is the safety factor of the composite sliding slope.

[0018] Furthermore, the weight calculation formula of the main slider is specifically as follows:

[0019]

[0020] Where d is the length of the internal shear surface; δr is the rock density, and g is the acceleration due to gravity.

[0021] Furthermore, the expression of the second mechanical equilibrium model is specifically:

[0022] Q cosβ-X sinβ-T2=0

[0023] W2X cosβ-Q sinβ-N2=0

[0024]

[0025]

[0026] Where, T2 and N2 are the tangential force and normal force on the sliding surface of the slider block, respectively; × and Q are the tangential force and normal force on the internal shear surface, respectively; W2 is the weight of the slider block; L2 is the length of the slider block's sliding surface; H is the height of the slider block; is the friction angle of the landslide; C e is the cohesion of the landslide body; β is the horizontal angle of the normal force of the shear surface; d is the length of the internal shear surface; K is the safety factor of the composite sliding slope body.

[0027] Furthermore, the weight calculation formula of the sliding block is specifically as follows:

[0028]

[0029]

[0030] Among them, L1 is the sliding surface length of the main slider; L3 is the horizontal width of the upper surface of the resistance slider; L4 is the internal geometric parameter of the resistance slider; γ is the internal angle of the resistance slider; W1 is the weight of the main slider; δr is the rock density, g is the acceleration of gravity; θ is the internal geometric angle of the main slider.

[0031] Furthermore, the composite sliding slope body is a slope body that is gentle at the front and steep at the back.

[0032] Furthermore, the method also includes: performing a sensitivity analysis of rock mass strength parameters to determine the impact of changes in strength parameters on the range of the internal shear zone.

[0033] Secondly, a composite sliding slope internal shear zone analysis system is provided, including:

[0034] Slope decomposition module, used to decompose the composite sliding slope into main sliding blocks and blocking sliding blocks;

[0035] A model building module is used to establish a first mechanical equilibrium model of the main slider and a second mechanical equilibrium model of the blocking slider based on the rigid body limit equilibrium method, taking into account the tangential stress and normal stress of the shear surface inside the landslide body;

[0036] A model calculation module, for calculating the geometric parameter range of the internal shear surface of the composite sliding slope body under the limit equilibrium state by combining the first mechanical equilibrium model and the second mechanical equilibrium model;

[0037] A correlation analysis module, for determining a correlation function between geometric parameters of the internal shear surface and a safety factor of the composite sliding slope body based on the first mechanical equilibrium model and the second mechanical equilibrium model;

[0038] The coefficient determination module is used to determine the minimum safety factor based on the correlation function and the range of geometric parameters.

[0039] In a third aspect, a computer terminal is provided, comprising a memory, a processor, and a computer program stored in the memory and executable on the processor, wherein when the processor executes the program, the method for analyzing the internal shear zone of a composite sliding slope as described in any one of the first aspects is implemented.

[0040] In a fourth aspect, a computer-readable medium is provided, on which a computer program is stored, and the computer program is executed by a processor to implement the method for analyzing the internal shear zone of a composite sliding slope as described in any one of the first aspects.

[0041] Compared with the prior art, the present invention has the following beneficial effects:

[0042] 1. The internal shear zone analysis method for composite sliding slopes provided by the present invention takes into account the obstructive effect of the internal shear resistance of the landslide body on the formation of the internal shear fracture surface, and reflects the internal shear deformation constraint mechanism caused by the sliding surface turning in the calculation. It can determine the geometric parameters of the internal shear surface of the slope, and thus determine the minimum safety factor of the composite sliding slope body, providing new ideas and methods for the stability calculation and slope protection of composite sliding slopes characterized by "gentle in the front and steep in the back".

[0043] 2. The present invention conducts a sensitivity analysis of rock mass strength parameters, and can obtain the impact of changes in strength parameters on the range of the internal shear zone. BRIEF DESCRIPTION OF THE DRAWINGS

[0044] The drawings described herein are used to provide a further understanding of the embodiments of the present invention, constitute a part of this application, and do not constitute a limitation of the embodiments of the present invention. In the drawings:

[0045] Figure 1 is the shear stress cloud diagram of the numerical simulation of the composite sliding slope;

[0046] Figure 2 This is a schematic diagram of the formation of the internal shear zone of the composite sliding slope;

[0047] Figure 3 Schematic diagram of a simplified model for calculating a composite sliding slope according to an embodiment of the present invention;

[0048] Figure 4 Schematic diagram of the force of the main slider in an embodiment of the present invention;

[0049] Figure 5 Schematic diagram of the force acting on the sliding block in an embodiment of the present invention;

[0050] Figure 6 It is a system block diagram in an embodiment of the present invention. DETAILED DESCRIPTION

[0051] In order to make the objectives, technical solutions and advantages of the present invention more clearly understood, the present invention is further described in detail below in conjunction with examples and drawings. The exemplary embodiments of the present invention and their descriptions are only used to explain the present invention and are not intended to limit the present invention.

[0052] Example: A method for analyzing the internal shear zone of a composite sliding slope is specifically implemented by the following steps.

[0053] The turning point in the shape of the potential sliding surface of the slope can play a positive role in the overall stability of the landslide. When the slope with a composite bottom sliding interface begins to lose stability, the upper block becomes the main sliding block and moves downward along the potential sliding surface, while the lower horizontal block acts as the blocking sliding block and moves to the right along the sliding surface. At the turning point of the composite bottom sliding interface, there will be an obvious change in the direction of movement. The internal shear of the composite sliding slope is formed as follows: Figure 1 and Figure 2 shown.

[0054] This paper proposes a new method for calculating the internal shear deformation zone of composite sliding slopes characterized by a gentle slope at the front and a steep slope at the back, based on the rigid body limit equilibrium method. This method decomposes the landslide into three components: a main sliding block and a blocking sliding block. Based on the traditional limit equilibrium method, a corresponding mechanical equilibrium model is established, which accounts for the tangential and normal stresses on the shear surfaces within the landslide. This method can calculate the geometric parameters of the internal shear zone of the composite sliding slope under the limit equilibrium state, and conduct a sensitivity analysis of the rock mass strength parameters to explore the impact of changes in the strength parameters on the internal shear zone.

[0055] The simplified calculation model of composite sliding slope AOBCDF is as follows Figure 3 The model is decomposed into AOF, OBCDF, and K.

[0056] like Figure 4 As shown, the first mechanical equilibrium model is obtained by analyzing the force on the main slider. The expression of the first mechanical equilibrium model is specifically:

[0057] N1sinα+X sinβ-T1cosα-Q cosβ=0

[0058] W1+X cosβ-T1sinα-N1cosα+Q sinβ=0

[0059]

[0060] Where, T1 and N1 are the tangential force and normal force of the main slider sliding surface respectively; × and Q are the tangential force and normal force of the internal shear surface respectively; W1 is the weight of the main slider; is the sliding surface friction angle; C0 is the sliding surface cohesion; L1 is the sliding surface length of the main slider; α is the angle between the main slider and the horizontal plane; β is the horizontal angle of the shear surface normal force; K is the safety factor of the composite sliding slope.

[0061] The weight calculation formula of the main slider is:

[0062]

[0063] Where d is the length of the internal shear surface; δr is the rock density, and g is the acceleration due to gravity.

[0064] like Figure 5 As shown, the second mechanical equilibrium model is obtained by analyzing the force on the slider block. The specific expression of the second mechanical equilibrium model is:

[0065] Q cosβ-X sinβ-T2=0

[0066] W2-X cosβ-Q sinβ-N2=0

[0067]

[0068]

[0069] Where, T2 and N2 are the tangential force and normal force on the sliding surface of the slider block, respectively; × and Q are the tangential force and normal force on the internal shear surface, respectively; W2 is the weight of the slider block; L2 is the length of the slider block's sliding surface; H is the height of the slider block; is the friction angle of the landslide; C e is the cohesion of the landslide body; β is the horizontal angle of the normal force of the shear surface; d is the length of the internal shear surface; K is the safety factor of the composite sliding slope body.

[0070] The weight calculation formula of the resistance slider is as follows:

[0071]

[0072]

[0073] Among them, L1 is the sliding surface length of the main slider; L3 is the horizontal width of the upper surface of the resistance slider; L4 is the internal geometric parameter of the resistance slider; γ is the internal angle of the resistance slider; W1 is the weight of the main slider; δr is the rock density, g is the acceleration of gravity; θ is the internal geometric angle of the main slider.

[0074] The rigid body limit equilibrium method for calculating the stability of composite sliding slopes employs a strength reserve safety factor, derived according to the Mohr-Coulomb criterion. Given a known slope geometry, β can theoretically only vary within the range of ∠AOD, thus enabling the search for the minimum K value.

[0075] In addition, the present invention can also perform sensitivity analysis of rock mass strength parameters to determine the impact of changes in strength parameters on the range of the internal shear zone.

[0076] Example 2: Composite sliding slope internal shear zone analysis system, the system is used to implement the analysis method described in Example 1, such as Figure 6 As shown, it includes a slope decomposition module, a model building module, a model calculation module, a correlation analysis module and a coefficient determination module.

[0077] Among them, the slope decomposition module is used to decompose the composite sliding slope into the main sliding block and the blocking sliding block; the model construction module is used to establish the first mechanical equilibrium model of the main sliding block and the second mechanical equilibrium model of the blocking sliding block based on the rigid body limit equilibrium method, taking into account the tangential stress and normal stress of the internal shear surface of the landslide body; the model calculation module is used to calculate the geometric parameter range of the internal shear surface of the composite sliding slope body under the limit equilibrium state by combining the first mechanical equilibrium model and the second mechanical equilibrium model; the correlation analysis module is used to determine the correlation function between the geometric parameters of the internal shear surface and the safety factor of the composite sliding slope body based on the first mechanical equilibrium model and the second mechanical equilibrium model; the coefficient determination module is used to determine the minimum safety factor based on the correlation function and the geometric parameter range.

[0078] Working principle: The present invention takes into account the hindering effect of the internal shear resistance of the landslide body on the formation of the internal shear fracture surface, and reflects the internal shear deformation constraint mechanism caused by the sliding surface turning in the calculation. It can determine the geometric parameters of the internal shear surface of the slope, and thus determine the minimum safety factor of the composite sliding slope body, providing new ideas and methods for the stability calculation and slope protection of composite sliding slopes characterized by "gentle in the front and steep in the back".

[0079] Those skilled in the art will appreciate that the embodiments of the present application can be provided as methods, systems, or computer program products. Therefore, the present application can adopt the form of a complete hardware embodiment, a complete software embodiment, or an embodiment in combination with software and hardware. Moreover, the present application can adopt the form of a computer program product implemented on one or more computer-usable storage media (including but not limited to magnetic disk storage, CD-ROM, optical storage, etc.) that contain computer-usable program code.

[0080] The present application is described with reference to the flowcharts and / or block diagrams of the methods, devices (systems), and computer program products according to the embodiments of the present application. It should be understood that each process and / or box in the flowchart and / or block diagram, as well as the combination of the processes and / or boxes in the flowchart and / or block diagram, can be implemented by computer program instructions. These computer program instructions can be provided to a processor of a general-purpose computer, a special-purpose computer, an embedded processor, or other programmable data processing device to produce a machine, so that the instructions executed by the processor of the computer or other programmable data processing device generate instructions for implementing the steps in the process. Figure 1 a process or multiple processes and / or boxes Figure 1A device that provides the functions specified in a block or multiple blocks.

[0081] These computer program instructions may also be stored in a computer readable memory that can direct a computer or other programmable data processing device to work in a specific manner, so that the instructions stored in the computer readable memory produce an article of manufacture comprising an instruction device, which implements the process Figure 1 a process or multiple processes and / or boxes Figure 1 The function specified in one or more boxes.

[0082] These computer program instructions can also be loaded onto a computer or other programmable data processing device so that a series of operational steps are executed on the computer or other programmable device to produce a computer-implemented process, thereby providing the instructions executed on the computer or other programmable device for implementing the process. Figure 1 a process or multiple processes and / or boxes Figure 1 A step that specifies a function in one or more boxes.

[0083] The above specific implementation methods further illustrate the objectives, technical solutions and beneficial effects of the present invention in detail. It should be understood that the above are only specific implementation methods of the present invention and are not intended to limit the scope of protection of the present invention. Any modifications, equivalent substitutions, improvements, etc. made within the spirit and principles of the present invention should be included in the scope of protection of the present invention.

Claims

1. The analysis method of the internal shear zone of a composite sliding slope is characterized by: The following steps are involved: Decompose the composite sliding slope into a main sliding block and a blocking sliding block; Considering the tangential stress and normal stress of the shear surface inside the landslide, the first mechanical equilibrium model of the main slider and the second mechanical equilibrium model of the blocking slider are established based on the rigid body limit equilibrium method. The geometric parameter range of the internal shear surface of the composite sliding slope body under the ultimate equilibrium state is calculated by combining the first mechanical equilibrium model and the second mechanical equilibrium model; Determining the correlation function between the geometric parameters of the internal shear surface and the safety factor of the composite sliding slope body according to the first mechanical equilibrium model and the second mechanical equilibrium model; Determine the minimum safety factor based on the correlation function and the range of geometric parameters; The expression of the first mechanical equilibrium model is specifically: Wherein, T1 and N1 are the tangential force and normal force of the main slider sliding surface respectively; X and Q are the tangential force and normal force of the internal shear surface respectively; W1 is the weight of the main slider; is the sliding surface friction angle; C0 is the sliding surface cohesion; L1 is the sliding surface length of the main slider; α is the angle between the main slider and the horizontal plane; β is the horizontal angle of the normal force on the shear surface; K is the safety factor of the composite sliding slope; The weight calculation formula of the main slider is specifically: Where d is the length of the internal shear surface; δr is the rock density, and g is the acceleration of gravity; The expression of the second mechanical equilibrium model is specifically: Where, T2 and N2 are the tangential force and normal force on the sliding surface of the slider block, respectively; X and Q are the tangential force and normal force on the internal shear surface, respectively; W2 is the weight of the slider block; L2 is the length of the slider block's sliding surface; H is the height of the slider block; is the friction angle of the landslide; C e is the cohesion of the landslide body; β is the horizontal angle of the normal force of the shear surface; d is the length of the internal shear surface; K is the safety factor of the composite sliding slope body; The weight calculation formula of the sliding block is specifically as follows: Among them, L1 is the sliding surface length of the main slider; L3 is the horizontal width of the upper surface of the resistance slider; L4 is the internal geometric parameter of the resistance slider; γ is the internal angle of the resistance slider; W1 is the weight of the main slider; δr is the rock density, g is the acceleration of gravity; θ is the internal geometric angle of the main slider.

2. The method for analyzing the internal shear zone of a composite sliding slope according to claim 1, wherein: The composite sliding slope body is a slope body that is gentle at the front and steep at the back.

3. The method for analyzing the internal shear zone of a composite sliding slope according to claim 1 is characterized in that: The method also includes: performing a sensitivity analysis of rock mass strength parameters to determine the impact of changes in strength parameters on the range of the internal shear zone.

4. The internal shear zone analysis system of composite sliding slope is characterized by: A method for analyzing the internal shear zone of a composite sliding slope according to any one of claims 1 to 3, comprising: Slope decomposition module, used to decompose the composite sliding slope into main sliding blocks and blocking sliding blocks; A model building module is used to establish a first mechanical equilibrium model of the main slider and a second mechanical equilibrium model of the blocking slider based on the rigid body limit equilibrium method, taking into account the tangential stress and normal stress of the shear surface inside the landslide body; A model calculation module, for calculating the geometric parameter range of the internal shear surface of the composite sliding slope body under the limit equilibrium state by combining the first mechanical equilibrium model and the second mechanical equilibrium model; A correlation analysis module, for determining a correlation function between geometric parameters of the internal shear surface and a safety factor of the composite sliding slope body based on the first mechanical equilibrium model and the second mechanical equilibrium model; The coefficient determination module is used to determine the minimum safety factor based on the correlation function and the range of geometric parameters.

5. A computer terminal comprising a memory, a processor, and a computer program stored in the memory and executable on the processor, wherein: When the processor executes the program, the method for analyzing the internal shear zone of a composite sliding slope according to any one of claims 1 to 3 is implemented.

6. A computer-readable medium having a computer program stored thereon, characterized in that: The computer program is executed by a processor to implement the internal shear zone analysis method of a composite sliding slope as claimed in any one of claims 1 to 3.

Citation Information

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