Double-sliding-surface slope sliding mass multi-parameter acquisition method and device considering parameter degradation

Abstract

The invention discloses a double-sliding-surface slope sliding mass multi-parameter acquisition method considering parameter degradation, and belongs to the technical field of slope stability analysis. The method comprises the following steps: dividing a double-slip-surface slope slip mass considering parameter degradation into two parts by a hypothetical interface; basic parameters, considering parameter degradation, of the sliding mass of the double-sliding-surface slope are prepared; carrying out stress analysis on the sliding mass of the double-sliding-surface slope, and establishing a sliding block acting force equation; a limit load equivalent equation is established by combining stress analysis and according to the first sliding block area and the second sliding block area; a sliding block acting force equation and a limit load equivalent equation are combined, and a double-sliding-surface slope sliding mass multi-parameter calculation model considering parameter degradation is established; and solving the multi-parameter calculation model of the sliding mass of the double-sliding-surface slope considering parameter degradation. The method is suitable for calculation of the ultimate load and the stability coefficient of the double-sliding-surface slope considering parameter degradation, and has the characteristics of clear concept, high calculation precision and simplicity and convenience in engineering application.

Description

Technical Field

[0001] This invention relates to a method for obtaining multiple parameters of a sliding body on a dual-slip surface slope considering parameter degradation, belonging to the field of slope stability analysis technology. Background Technology

[0002] In civil engineering, water conservancy engineering, and transportation engineering, slopes are common geological structures in engineering construction, and their stability directly affects the safe construction and long-term operation of projects. Double-slip slopes, due to the existence of two potential slip surfaces, have far more complex mechanical response mechanisms and instability failure modes than single-slip slopes. Under external loads, they are highly susceptible to gradual or sudden instability, potentially causing serious consequences such as structural damage and casualties. Therefore, accurate calculation of their ultimate load and stability coefficient is of significant technical value.

[0003] Currently, many mature theories and methods have been developed for calculating the ultimate load and stability coefficient of single-slip surface slopes. For example, the traditional limit equilibrium method, based on the assumed shape of the sliding surface, solves for the slope's stability coefficient by analyzing the force equilibrium of the sliding body, and obtains the ultimate load of the slope by gradually increasing the external load until the slope reaches its limit state. These methods are conceptually clear and computationally simple, and have been widely used in engineering practice. However, existing calculation methods have significant shortcomings when considering double-slip surface slopes. Traditional methods do not fully consider the complex mechanical mechanisms of double-slip surfaces, the complex interactions between the upper and lower sliding bodies, and the dynamic deterioration laws of the sliding surface parameters, leading to significant deviations between the calculated results and the actual situation.

[0004] As engineering projects expand into areas with more complex geological conditions and the requirements for the long-term stability of infrastructure continue to increase, there is an urgent need for a method to accurately calculate the ultimate load and stability coefficient of slopes that can take into account the characteristics of double-slip surfaces and the effects of parameter deterioration. This is of great practical significance for ensuring the safety of engineering structures, optimizing slope design schemes, and reducing the risk of geological disasters. Summary of the Invention

[0005] This invention provides a method and apparatus for obtaining multiple parameters of a double-slip surface slope landslide considering parameter degradation. It constructs a multi-parameter calculation model of the double-slip surface slope landslide considering parameter degradation based on dividing the landslide into two parts. This model is applicable to the calculation of the ultimate load and stability coefficient of the double-slip surface slope landslide considering parameter degradation, and has the characteristics of clear concept, high calculation accuracy, and simple engineering application.

[0006] The technical solution of this invention is:

[0007] According to a first aspect of the present invention, a method for obtaining multiple parameters of a sliding body on a dual-slip surface slope considering parameter degradation is provided, comprising:

[0008] Step 1: Divide the sliding body of the double-sliding surface slope, which is subject to parameter deterioration, into two parts, the first slider and the second slider, using an imaginary interface;

[0009] Step 2: Determine the basic parameters of the double-slip surface slope sliding body considering parameter deterioration, and calculate the total area of ​​the double-slip surface slope sliding body, the area of ​​the second slider, the length of the first sliding surface in the double-slip surface slope sliding body, and the length of the second sliding surface in the double-slip surface slope sliding body based on the determined basic parameters; obtain the area of ​​the first slider based on the total area of ​​the double-slip surface slope sliding body and the area of ​​the second slider.

[0010] Step 3: Perform force analysis on the sliding body of the double-sliding slope and establish the force equation of the slider; combine the force analysis and establish the equivalent equation of ultimate load based on the area of ​​the first and second sliders.

[0011] Step 4: Combining the sliding force equation and the ultimate load equivalent equation, establish a multi-parameter calculation model for the sliding body of the double-sliding surface slope considering parameter deterioration;

[0012] Step 5: Solve the multi-parameter calculation model of the sliding body of the double-slip surface slope considering parameter deterioration.

[0013] Furthermore, the proposed basic parameters of the double-slip surface slope sliding body considering parameter deterioration include: the coordinates of key points of the double-slip surface slope sliding body, the angle θ2 between the second sliding surface BC and the x-axis, the angle θ1 between the first sliding surface CD and the x-axis; the unit weight γ of the double-slip surface slope sliding body, and the cohesion c2(t) and friction angle of the second sliding surface BC at time t. The cohesion c1(t) and friction angle of the first sliding surface CD at time t.

[0014] Further, step 3 specifically involves: performing a force analysis on the sliding body of the double-sliding-surface slope to determine that the equivalent gravity G2 and ultimate load F2(t) act on the centroid of the second slider; the equivalent gravity G1 and ultimate load F1(t) act on the centroid of the first slider; P2(t) and P1(t) act on the hypothetical interface between the first and second sliders; and the frictional resistance R1(t) acts on the first sliding surface CD; where P2(t) is the force exerted by the first slider on the second slider, and P1(t) is the force exerted by the second slider on the first slider; establishing the slider force equation based on P2(t) and P1(t) acting on the hypothetical interface between the first and second sliders; and establishing the ultimate load equivalent equation based on the ultimate load F1(t) acting on the centroid of the first slider, the area of ​​the first slider, the ultimate load F2(t) acting on the centroid of the second slider, and the area of ​​the second slider.

[0015] Furthermore, the equation for the force acting on the slider is:

[0016] P1(t)=P2(t) (1)

[0017] The equivalent equation for the ultimate load is:

[0018] F1(t)A1=F2(t)A2 (2)

[0019] In the formula, A1 is the area of ​​the first slider and A2 is the area of ​​the second slider.

[0020] Furthermore, step 4 specifically includes:

[0021] Force analysis of the first slider ECD shows that the first slider ECD satisfies the equilibrium equation along the inclined plane of the first sliding surface CD, namely:

[0022]

[0023] Rewrite equation (3) as follows:

[0024]

[0025] In the formula: G1 = γA1;

[0026] All forces on the first slider must satisfy equations (5) and (6):

[0027]

[0028] The stability coefficient K2(t) of the second slider ABCE is:

[0029]

[0030] Combining the equations of the sliding force, the equivalent equation of the ultimate load, and equations (4)-(7), a multi-parameter calculation model for the sliding body of a double-sliding surface slope considering parameter degradation is established as follows:

[0031]

[0032] In the formula, R1(t) is the frictional resistance acting on the first sliding surface CD at time t, and c1(t), Let G1(t) represent the cohesion and friction angle of the first sliding surface CD at time t, and G1 and F1(t) represent the equivalent gravity and ultimate load acting on the centroid of the first slider at time t, respectively. Let θ1 be the angle between the first sliding surface CD and the x-axis. Let γ be the unit weight of the double-sliding slope, and A1 be the area of ​​the first slider. Let P1(t) be the force exerted by the second slider on the first slider at time t, and θ(t) be the angle between P1(t) and the x-axis. Let l1 be the length of the first sliding surface CD, and G2 and F2(t) represent the equivalent gravity and ultimate load acting on the centroid of the second slider at time t, respectively. Let θ2 be the angle between the second sliding surface BC and the x-axis, and c2(t) be the angle between the second sliding surface BC and the x-axis. Let l1 be the cohesion and friction angle of the second sliding surface BC at time t, l2 be the length of the second sliding surface BC, and P2(t) be the force exerted by the first slider on the second slider at time t.

[0033] Furthermore, the solution to the multi-parameter calculation model of the double-slip surface slope considering parameter degradation includes:

[0034] Used to solve for the sliding body stability coefficient of a double-slip surface slope; and / or

[0035] Used to solve for the ultimate loads F1(t) and F2(t) of the sliding body on a double-sliding surface slope.

[0036] Furthermore, the solution for the stability coefficient of the sliding body on the double-slip surface slope is specifically as follows:

[0037] Let F1(t) = F2(t) = 0, and the stability coefficient K1(t) of the first slider ECD at time t = 1. Substituting this into the multi-parameter calculation model of the double-sliding surface slope considering parameter degradation, we can calculate K2(t) and make a judgment:

[0038] When |K2(t)-K1(t)|≤ε, it means that the absolute difference between the stability coefficient K1(t) of the assumed first slider ECD and the stability coefficient K2(t) of the second slider ABCE is within the allowable error range, that is, the stability coefficient of the sliding body of the double-sliding surface slope. Where ε is the allowable error;

[0039] When |K2(t)-K1(t)|>ε, it indicates that the absolute difference between the stability coefficient K1(t) of the assumed first slider ECD and the stability coefficient K2(t) of the second slider ABCE is outside the allowable error range. At this time, the stability coefficient K(t) is solved iteratively using the bisection method based on strength reduction until |K2(t)-K1(t)|≤ε. This indicates that the stability coefficient of the sliding body of the double-sliding surface slope considering parameter deterioration is...

[0040] Furthermore, the solution for the ultimate loads F1(t) and F2(t) of the sliding body on the double-slip surface slope is specifically as follows:

[0041] S1, Let F1(t) = 0, At time t, the stability coefficient K1(t) of the first slider ECD is 1. Substituting this into the multi-parameter calculation model of the double-sliding surface slope considering parameter degradation, K2(t) can be calculated and judged.

[0042] When |K2(t)-K1(t)|≤ε, it means that the absolute difference between the stability coefficient K1(t) of the assumed first slider ECD and the stability coefficient K2(t) of the second slider ABCE is within the allowable error range, that is, the stability coefficient of the sliding body of the double-sliding surface slope. Next, execute S2; where ε is the allowable error;

[0043] When |K2(t)-K1(t)|>ε, it indicates that the absolute difference between the stability coefficient K1(t) of the assumed first slider ECD and the stability coefficient K2(t) of the second slider ABCE is outside the allowable error range. In this case, the stability coefficient K(t) is iteratively solved using the bisection method based on strength reduction until |K2(t)-K1(t)|≤ε. This indicates that the stability coefficient of the double-sliding surface slope considering parameter degradation is... Then execute S2;

[0044] S2. Determine if |K(t)-1.0|≤ε is true: If |K(t)-1.0|≤ε, then execute S2.1; if (K(t)-1.0)>ε, let F1(t)=F1(t)+ΔF. Execute S2.2; if (K(t)-1.0)<ε, then let F1(t)=F1(t)-ΔF、 Execute S2.2;

[0045] S2.1 The F1(t) and F2(t) set at the moment are the ultimate load results;

[0046] S2.2 Substitute the preset F1(t) and F2(t) into the multi-parameter calculation model of the double-slip surface slope considering parameter deterioration to calculate K2(t). Then, determine: if |K2(t)-K1(t)|≤ε, it means that the absolute difference between the stability coefficient K1(t) of the assumed first slider ECD and the stability coefficient K2(t) of the second slider ABCE is within the allowable error range, that is, the stability coefficient of the double-slip surface slope is within the allowable error range. Next, execute S3; when |K2(t)-K1(t)|>ε, it indicates that the absolute difference between the stability coefficient K1(t) of the assumed first slider ECD and the stability coefficient K2(t) of the second slider ABCE is outside the allowable error range; at this time, the stability coefficient K(t) is solved iteratively using the bisection method based on strength reduction until |K2(t)-K1(t)|≤ε, which indicates that the stability coefficient of the double-sliding surface slope considering parameter deterioration is... Then execute S3;

[0047] S3. Determine whether |K(t)-1.0|≤ε holds true:

[0048] If |K(t)-1.0|≤ε, then the currently set F1(t) and F2(t) are the ultimate load results;

[0049] If (K(t)-1.0)>ε, then let F1(t)=F1(t)+ΔF、 If (K(t)-1.0)<ε, then let F1(t)=F1(t)-ΔF、 Then execute S2.2 until the result |K(t)-1.0|≤ε is obtained. Then the currently set F1(t) and F2(t) are the desired values.

[0050] According to a second aspect of the present invention, a multi-parameter acquisition device for a dual-slip surface slope considering parameter degradation is provided, comprising a module of the multi-parameter acquisition method for a dual-slip surface slope considering parameter degradation as described above.

[0051] According to a third aspect of the present invention, a terminal device is provided, comprising a memory, a processor, and a computer program stored in the memory and executable on the processor, wherein the processor executes the program to implement the steps of the method for obtaining multiple parameters of a dual-slip surface slope considering parameter degradation as described in any of the preceding embodiments.

[0052] The beneficial effects of this invention are:

[0053] This invention takes a double-slip surface slope as the research object, dividing the double-slip surface slope into two parts using an imaginary interface. Based on this division, and combining predetermined geometric and physical-mechanical parameters, a stress analysis is performed on the double-slip surface slope. The stress analysis considers the complex mechanical mechanisms of the double-slip surface and the complex interactions between the two sliding bodies, avoiding an underestimation of the ultimate load. Furthermore, it considers the dynamic deterioration of the slip surface parameters over time, aiming to more accurately reflect the actual behavior of the slope under dynamic loads. Further, this invention… The model constructed in this invention also considers that the first slider satisfies the equilibrium equations and force system equilibrium equations along the inclined plane, making the multi-parameter calculation model of the double-slip surface slope considering parameter degradation more comprehensive, thereby improving the accuracy of calculating the ultimate load and stability coefficient of the double-slip surface slope considering parameter degradation. At the same time, in the solution process, on the one hand, the safety factor is calculated based on the bisection method of strength reduction, and on the other hand, the ultimate load of the slope is obtained by judging whether the slope has reached the limit state through the safety factor. Compared with the traditional iterative method, it has the advantages of high calculation efficiency and fast convergence. Attached Figure Description

[0054] Figure 1 Flowchart of the method of this invention;

[0055] Figure 2 A schematic diagram of a double-slip surface slope sliding body model considering parameter degradation in this invention;

[0056] Figure 3 A schematic diagram of the force analysis of a double-sliding-surface slope sliding body considering parameter deterioration in this invention;

[0057] Figure 4 This is a schematic diagram of a double-slip surface slope sliding body model considering parameter degradation in an embodiment of the present invention. Detailed Implementation

[0058] To make the objectives, technical solutions, and advantages of the embodiments of the present invention clearer, the technical solutions of the embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings. Based on the embodiments of the present invention, all other embodiments obtained by those skilled in the art without creative effort are within the scope of protection of the present invention. It should be noted that, unless otherwise specified, the embodiments and features in the embodiments of this application can be arbitrarily combined with each other.

[0059] Example 1: As Figures 1-4 As shown, a method for obtaining multiple parameters of a double-slip surface slope considering parameter degradation can be executed by a terminal device, that is, by one or more processors in the terminal device, performing the following steps (1)-(5), specifically including the following steps:

[0060] (1) The sliding body of the double-sliding surface slope considering parameter deterioration is divided into two parts, the first slider and the second slider, by an imaginary interface; wherein, the second slider is the slider on the side of the free surface of the double-sliding surface slope sliding body.

[0061] like Figure 2 The diagram shows a schematic of a double-slip surface slope sliding body model considering parameter deterioration. A coordinate system xoy is defined, with the lower left corner of the slope as the origin o. The horizontal axis is the x-axis of the coordinate system, positive to the right, and the vertical axis is the y-axis, positive upwards. Block ABCD represents the double-slip surface slope sliding body, with BC and CD representing the first and second slip surfaces, AB the free surface, and AD the top surface. A perpendicular line is drawn from the intersection point C of the second slip surface BC and the first slip surface CD to the top surface AD, intersecting AD at E. The imaginary interface CE divides the double-slip surface slope sliding body ABCD into two parts: the first sliding block ECD and the second sliding block ABCE.

[0062] (2) Draft basic parameters of the double-slip surface slope sliding body considering parameter deterioration; calculate the total area of ​​the double-slip surface slope sliding body, the area of ​​the second slider, the length of the first sliding surface in the double-slip surface slope sliding body, and the length of the second sliding surface in the double-slip surface slope sliding body based on the draft basic parameters of the double-slip surface slope sliding body considering parameter deterioration; obtain the area of ​​the first slider based on the total area of ​​the double-slip surface slope sliding body and the area of ​​the second slider.

[0063] Based on actual conditions, the basic parameters of the double-slip surface slope landslide body considering parameter degradation are proposed. These basic parameters include geometric parameters, which include: the coordinates of key points A(x) of the double-slip surface slope landslide body. a ,y a B(x) b ,yb ), C(x) c ,y c ), D(x d ,y d The angle θ2 between the second sliding surface BC and the x-axis, and the angle θ1 between the first sliding surface CD and the x-axis; physical and mechanical parameters, including: the unit weight γ of the sliding body of the double-sliding-surface slope, the cohesion c2(t) of the second sliding surface BC at time t, and the friction angle. The cohesion c1(t) and friction angle of the first sliding surface CD at time t. Calculate the total area of ​​the double-sliding surface slope A = 2|(x) from the coordinates of the key points of the sliding body. a -x c )(y b -y d )-(x b -x d )(y a -y c The area of ​​the second slider ABCE is A2 = 2|(x) a -x c )(y b -y e )-(x b -x e )(y a -y c The area of ​​the first slider ECD is A1 = A - A2, and the length of the second sliding surface BC is... Length of the first smooth surface CD

[0064] (3) Perform force analysis on the sliding body of the double-sliding surface slope to determine that the equivalent gravity G2 and ultimate load F2(t) act on the centroid of the second slider; the equivalent gravity G1 and ultimate load F1(t) act on the centroid of the first slider; P2(t) and P1(t) act on the hypothetical interface between the first and second sliders; and the frictional force R1(t) acts on the first sliding surface CD. Among them, P2(t) is the force exerted by the first slider on the second slider, and P1(t) is the force exerted by the second slider on the first slider. Based on P2(t) and P1(t) acting on the hypothetical interface between the first and second sliders, establish the slider force equation. Based on the ultimate load F1(t) acting on the centroid of the first slider, the area of ​​the first slider, the ultimate load F2(t) acting on the centroid of the second slider, and the area of ​​the second slider, establish the ultimate load equivalent equation.

[0065] like Figure 3The force analysis of the sliding body of the double-sliding surface slope is shown. At time t, the centroid of the second slider ABCE is subjected to an equivalent gravity G2 and an ultimate load F2(t); at time t, the centroid of the first slider ECD is subjected to an equivalent gravity G1 and an ultimate load F1(t); at time t, the hypothetical interface CE between the first slider ECD and the second slider ABCE is subjected to P2(t) and P1(t); the angle θ(t) between P1(t) and the x-axis; the frictional resistance R1(t) acts on the first sliding surface CD; where P2(t) is the force exerted by the first slider ECD on the second slider ABCE at time t, and P1(t) is the force exerted by the second slider ABCE on the first slider ECD at time t. The two forces are equal in magnitude, opposite in direction, and on the same straight line.

[0066] P1(t)=P2(t) (1)

[0067] The ultimate load F2(t) on the second slider ABCE satisfies the same condition as the ultimate load F1(t) on the first slider ECD:

[0068] F1(t)A1=F2(t)A2 (2)

[0069] (4) Establish a multi-parameter calculation model for double-slip surface slopes that consider parameter degradation.

[0070] Force analysis of the first slider ECD shows that the first slider ECD satisfies the equilibrium equation along the CD inclined plane, namely:

[0071]

[0072] To facilitate the calculation of the stability coefficient of the sliding body on a double-sliding surface slope, equation (3) is rewritten as:

[0073]

[0074] In the formula: G1=γA1.

[0075] All forces on the first slider ECD must satisfy the equilibrium theorem of the force system, that is:

[0076]

[0077] The stability coefficient K2(t) of the second slider ABCE is:

[0078]

[0079] Therefore, the multi-parameter calculation model for a double-slip surface slope considering parameter degradation is as follows:

[0080]

[0081] (5) Solve the multi-parameter calculation model of the double-slip surface slope considering parameter degradation.

[0082] One of the objectives of this invention is to solve for the stability coefficient K(t) of a double-slip surface slope.

[0083] Let F1(t) = F2(t) = 0, and the stability coefficient K1(t) of the first slider ECD at time t = 1. Substituting this into the multi-parameter calculation model (8) for the double-sliding surface slope considering parameter deterioration, we can calculate K2(t) and make a judgment: if |K2(t) - K1(t)| ≤ ε, it means that the absolute difference between the assumed stability coefficient K1(t) of the first slider ECD and the stability coefficient K2(t) of the second slider ABCE is within the allowable error range, that is, the stability coefficient of the double-sliding surface slope is within the allowable error range. Where ε is the allowable error;

[0084] When |K2(t)-K1(t)|>ε, it means that the absolute difference between the stability coefficient K1(t) of the assumed first slider ECD and the stability coefficient K2(t) of the second slider ABCE is outside the allowable error range, where ε is the allowable error. In this case, the stability coefficient K(t) is solved iteratively using the bisection method based on strength reduction, specifically: let F1(t)=F2(t)=0, Will Substituting into the multi-parameter calculation model (8) for a double-slip surface slope considering parameter deterioration, the new K2(t) can be calculated and judged: when |K2(t)-K1(t)|≤ε, it means that the absolute difference between the stability coefficient K1(t) of the assumed first slider ECD and the stability coefficient K2(t) of the second slider ABCE is within the allowable error range, that is, the stability coefficient of the double-slip surface slope is within the allowable error range. Where ε is the allowable error; when |K2(t)-K1(t)|>ε, it indicates that the absolute difference between the stability coefficient K1(t) of the first slider ECD and the stability coefficient K2(t) of the second slider ABCE is outside the allowable error range, where ε is the allowable error. Repeat the above process until |K2(t)-K1(t)|≤ε, which indicates that the stability coefficient of the sliding body of the double-sliding surface slope considering parameter deterioration is within the allowable error range.

[0085] The second objective of this invention is to solve for the ultimate loads F1(t) and F2(t) of the sliding body on a double-sliding surface slope.

[0086] The ultimate loads F1(t) and F2(t) are solved by gradually increasing the load to bring the slope to its ultimate state. Specifically:

[0087] S1, Let F1(t) = 0, At time t, the stability coefficient K1(t) of the first slider ECD is 1. Substituting this into equation (8) of the multi-parameter calculation model for the sliding body of the double-sliding surface slope considering parameter deterioration, K2(t) can be calculated and judged.

[0088] When |K2(t)-K1(t)|≤ε, it means that the absolute difference between the stability coefficient K1(t) of the assumed first slider ECD and the stability coefficient K2(t) of the second slider ABCE is within the allowable error range, that is, the stability coefficient of the sliding body of the double-sliding surface slope. Next, S2 is executed; where ε is the allowable error; in this embodiment of the invention, ε is set to 0.001;

[0089] When |K2(t)-K1(t)|>ε, it means that the absolute difference between the stability coefficient K1(t) of the assumed first slider ECD and the stability coefficient K2(t) of the second slider ABCE is outside the allowable error range, where ε is the allowable error. In this case, the stability coefficient K(t) is solved iteratively using the bisection method based on strength reduction, specifically: Let… Will Substituting into the multi-parameter calculation model (8) for a double-slip surface slope considering parameter deterioration, the new K2(t) can be calculated and judged: when |K2(t)-K1(t)|≤ε, it means that the absolute difference between the stability coefficient K1(t) of the assumed first slider ECD and the stability coefficient K2(t) of the second slider ABCE is within the allowable error range, that is, the stability coefficient of the double-slip surface slope is within the allowable error range. Next, execute S2; when |K2(t)-K1(t)|>ε, it indicates that the absolute difference between the stability coefficient K1(t) of the first slider ECD and the stability coefficient K2(t) of the second slider ABCE is outside the allowable error range. Repeat the above process until |K2(t)-K1(t)|≤ε, which indicates that the stability coefficient of the double-sliding surface slope considering parameter degradation is... Next, execute S2.

[0090] S2. Determine if |K(t)-1.0|≤ε is true: If |K(t)-1.0|≤ε, then execute S2.1; if (K(t)-1.0)>ε, let F1(t)=F1(t)+ΔF. Execute S2.2; if (K(t)-1.0)<ε, then let F1(t)=F1(t)-ΔF、 Execute S2.2; In this embodiment of the invention, set ΔF = 1;

[0091] S2.1, then the currently set F1(t) and F2(t) are the ultimate load results;

[0092] S2.2. Under the condition that (K(t)-1.0)>ε or (K(t)-1.0)<ε, substitute the preset F1(t) and F2(t) into the multi-parameter calculation model (8) of the double-slip surface slope considering parameter deterioration, and K2(t) can be calculated. Then, make a judgment: when |K2(t)-K1(t)|≤ε, it means that the absolute difference between the stability coefficient K1(t) of the assumed first slider ECD and the stability coefficient K2(t) of the second slider ABCE is within the error allowable range, that is, the stability coefficient of the double-slip surface slope is within the range of error allowable range. Next, execute S3; when |K2(t)-K1(t)|>ε, it indicates that the absolute difference between the stability coefficient K1(t) of the assumed first slider ECD and the stability coefficient K2(t) of the second slider ABCE is outside the allowable error range; at this time, the stability coefficient K(t) is solved iteratively using the bisection method based on strength reduction, specifically: Let Will Substituting into the multi-parameter calculation model (8) for a double-slip surface slope considering parameter deterioration, the new K2(t) can be calculated and judged: when |K2(t)-K1(t)|≤ε, it means that the absolute difference between the stability coefficient K1(t) of the assumed first slider ECD and the stability coefficient K2(t) of the second slider ABCE is within the allowable error range, that is, the stability coefficient of the double-slip surface slope is within the allowable error range. Next, execute S3; when |K2(t)-K1(t)|>ε, it indicates that the absolute difference between the stability coefficient K1(t) of the first slider ECD and the stability coefficient K2(t) of the second slider ABCE is outside the allowable error range; repeat the above process until |K2(t)-K1(t)|≤ε, which indicates that the stability coefficient of the double-sliding surface slope considering parameter degradation is... Next, execute S3.

[0093] S3. Determine whether |K(t)-1.0|≤ε holds true: If |K(t)-1.0|≤ε, then the currently set F1(t) and F2(t) are the ultimate load results.

[0094] If (K(t)-1.0)>ε, then let F1(t)=F1(t)+ΔF、 If (K(t)-1.0)<ε, then let F1(t)=F1(t)-ΔF、 Execute S2.2 until the result |K(t)-1.0|≤ε, then the currently set F1(t) and F2(t) are the desired values.

[0095] For example, the method of the above embodiments is described with the following data:

[0096] I. For example Figure 4As shown, based on the actual situation, the geometric and physical-mechanical parameters of the double-slip surface slope sliding body considering parameter deterioration are proposed, specifically including: the coordinates of the key points of the sliding body A(18,45), B(0,0), C(38,30), D(43,45), and the unit weight of the double-slip surface slope sliding body γ=20kN / m 3 The cohesion c2(t) and friction angle of the second sliding surface BC at time t. The cohesion c1(t) and friction angle of the first sliding surface CD at time t. See Table 1; the angle θ2 between the second sliding surface BC and the x-axis is 38.29°, and the angle θ1 between the first sliding surface CD and the x-axis is 71.56°. The total area of ​​the sliding body A can be calculated from the coordinates of the key points of the sliding body: A = 2|(x... a -x c )(y b -y d )-(x b -x d )(y a -y c )|=772.5m 2 The area of ​​the second slider ABCE is A2 = 2|(x a -x c )(y b -y e )-(x b -x e )(y a -y c ) = 735m 2 | and the area of ​​the first slider ECD, A1 = A - A2 = 37.5m² 2 The length of the smooth surface BC Length of the smooth CD Furthermore, it is given that: the equivalent gravity acting on the centroid of the second slider ABCE is G2 = 14700kN; and the equivalent gravity acting on the centroid of the first slider ECD is G1 = 750kN.

[0097] Table 1. Deterioration process of double-slip surface slope

[0098]

[0099] II. The multi-parameter calculation model for a double-slip surface slope considering parameter degradation is as follows:

[0100]

[0101] P1(t)=P2(t)

[0102] F1(t) = 37.5 = F2(t) = 735

[0103] III. The results of the ultimate load and stability coefficient of the double-slip surface slope considering parameter deterioration obtained according to the solution method of the present invention are shown in Table 2. Table 2 shows that the ultimate loads of the first and second sliders after one year of service, obtained by the method of the present invention, are 84 kN and 1646.4 kN, respectively. Therefore, the ultimate load of the double-slip surface slope after one year of service is 1730.4 kN, and its stability coefficient is 1.24.

[0104] Table 2. Ultimate sliding load and stability coefficient of double-slip surface slope obtained by the method of the present invention.

[0105]

[0106] Example 2: A device for obtaining multiple parameters of a double-slip surface slope considering parameter degradation, comprising the module of the method for obtaining multiple parameters of a double-slip surface slope considering parameter degradation as described in Example 1. Specifically, the module includes: a partitioning module, used to divide the double-slip surface slope landslide body, considering parameter deterioration, into two parts: a first slider and a second slider, using an imaginary interface; a calculation module, used to determine the basic parameters of the double-slip surface slope landslide body considering parameter deterioration, and to calculate the total area of ​​the double-slip surface slope landslide body, the area of ​​the second slider, the length of the first sliding surface in the double-slip surface slope landslide body, and the length of the second sliding surface in the double-slip surface slope landslide body based on the determined basic parameters; and to obtain the area of ​​the first slider based on the total area of ​​the double-slip surface slope landslide body and the area of ​​the second slider; a first establishment module, used to perform force analysis on the double-slip surface slope landslide body and establish the slider force equation; and to establish the ultimate load equivalent equation based on the force analysis and the areas of the first and second sliders; a second establishment module, used to establish a multi-parameter calculation model of the double-slip surface slope landslide body considering parameter deterioration by combining the slider force equation and the ultimate load equivalent equation; and a solution module, used to solve the multi-parameter calculation model of the double-slip surface slope landslide body considering parameter deterioration. The various modules in the aforementioned device for acquiring multiple parameters of a dual-slip surface slope considering parameter degradation can be implemented entirely or partially through software, hardware, or a combination thereof. These modules can be embedded in or independent of the processor in a computer device, or stored in the memory of a computer device as software, so that the processor can call and execute the corresponding operations of each module.

[0107] Example 3: A terminal device includes a memory, a processor, and a computer program stored in the memory and executable on the processor. When the processor executes the program, it implements the steps of the method for obtaining multiple parameters of a dual-slip surface slope considering parameter degradation as described in any of the above examples.

[0108] The specific embodiments of the present invention have been described in detail above with reference to the accompanying drawings. However, the present invention is not limited to the above embodiments. Within the scope of knowledge possessed by those skilled in the art, various changes can be made without departing from the spirit of the present invention.

Claims

1. A method for obtaining multiple parameters of a sliding body on a dual-slip surface slope considering parameter degradation, characterized in that, include: Step 1: Divide the sliding body of the double-sliding surface slope, which is subject to parameter deterioration, into two parts, the first slider and the second slider, using an imaginary interface; Step 2: Determine the basic parameters of the double-slip surface slope sliding body considering parameter deterioration, and calculate the total area of ​​the double-slip surface slope sliding body, the area of ​​the second slider, the length of the first sliding surface in the double-slip surface slope sliding body, and the length of the second sliding surface in the double-slip surface slope sliding body based on the determined basic parameters; obtain the area of ​​the first slider based on the total area of ​​the double-slip surface slope sliding body and the area of ​​the second slider. Step 3: Perform force analysis on the sliding body of the double-sliding slope and establish the force equation of the slider; combine the force analysis and establish the equivalent equation of ultimate load based on the area of ​​the first and second sliders. Step 4: Combining the sliding force equation and the ultimate load equivalent equation, establish a multi-parameter calculation model for the sliding body of the double-sliding surface slope considering parameter deterioration; Step 5: Solve the multi-parameter calculation model of the sliding body of the double-slip surface slope considering parameter deterioration.

2. The method for obtaining multiple parameters of a double-slip surface slope considering parameter degradation as described in claim 1, characterized in that, The proposed basic parameters for the double-slip surface slope sliding body considering parameter degradation include: coordinates of key points of the double-slip surface slope sliding body, angle θ2 between the second slip surface BC and the x-axis, angle θ1 between the first slip surface CD and the x-axis; unit weight γ of the double-slip surface slope sliding body, cohesion c2(t) and friction angle of the second slip surface BC at time t. The cohesion c1(t) and friction angle of the first sliding surface CD at time t.

3. The method for obtaining multiple parameters of a double-slip surface slope considering parameter degradation as described in claim 1, characterized in that, Step 3 specifically involves: performing a force analysis on the sliding body of the double-sliding-surface slope to determine that the centroid of the second slider is acted upon by an equivalent gravity G2 and an ultimate load F2(t); the centroid of the first slider is acted upon by an equivalent gravity G1 and an ultimate load F1(t); the hypothetical interface between the first and second sliders is acted upon by P2(t) and P1(t); and the first sliding surface CD is acted upon by a frictional force R1(t); where P2(t) is the force exerted by the first slider on the second slider, and P1(t) is the force exerted by the second slider on the first slider. Based on the hypothetical interfaces P2(t) and P1(t) acting on the first and second sliders, establish the equations for the forces acting on the sliders; based on the ultimate load F1(t) acting on the centroid of the first slider, the area of ​​the first slider, the ultimate load F2(t) acting on the centroid of the second slider, and the area of ​​the second slider, establish the equivalent equations for the ultimate loads.

4. The method for obtaining multiple parameters of a double-slip surface slope considering parameter degradation as described in claim 3, characterized in that, The equation for the force acting on the slider is: P1(t)=P2(t) (1) The equivalent equation for the ultimate load is: F1(t)A1=F2(t)A2 (2) In the formula, A1 is the area of ​​the first slider and A2 is the area of ​​the second slider.

5. The method for obtaining multiple parameters of a double-slip surface slope considering parameter degradation as described in claim 1, characterized in that, Step 4 specifically includes: Force analysis of the first slider ECD shows that the first slider ECD satisfies the equilibrium equation along the inclined plane of the first sliding surface CD, namely: Rewrite equation (3) as follows: In the formula: G1 = γA1; All forces on the first slider must satisfy equations (5) and (6): The stability coefficient K2(t) of the second slider ABCE is: Combining the equations of the sliding force, the equivalent equation of the ultimate load, and equations (4)-(7), a multi-parameter calculation model for the sliding body of a double-sliding surface slope considering parameter degradation is established as follows: In the formula, R1(t) is the frictional resistance acting on the first sliding surface CD at time t, and c1(t), Let G1(t) represent the cohesion and friction angle of the first sliding surface CD at time t, and G1 and F1(t) represent the equivalent gravity and ultimate load acting on the centroid of the first slider at time t, respectively. Let θ1 be the angle between the first sliding surface CD and the x-axis; γ be the unit weight of the double-sliding slope; A1 be the area of ​​the first slider; P1(t) be the force exerted by the second slider on the first slider at time t; θ(t) be the angle between P1(t) and the x-axis; l1 be the length of the first sliding surface CD; G2 and F2(t) represent the equivalent gravity and ultimate load acting on the centroid of the second slider at time t, respectively; θ2 be the angle between the second sliding surface BC and the x-axis; and c2(t) be the angle between the second sliding surface BC and the x-axis. Let l1 be the cohesion and friction angle of the second sliding surface BC at time t, l2 be the length of the second sliding surface BC, and P2(t) be the force exerted by the first slider on the second slider at time t.

6. The method for obtaining multiple parameters of a double-slip surface slope considering parameter degradation as described in claim 1, characterized in that, The solution to the multi-parameter calculation model of the double-slip surface slope considering parameter degradation includes: Used to solve for the sliding body stability coefficient of a double-slip surface slope; and / or Used to solve for the ultimate loads F1(t) and F2(t) of the sliding body on a double-sliding surface slope.

7. The method for obtaining multiple parameters of a double-slip surface slope considering parameter degradation as described in claim 6, characterized in that, The solution for the sliding body stability coefficient of the double-sliding surface slope is as follows: Let F1(t) = F2(t) = 0, and the stability coefficient K1(t) of the first slider ECD at time t = 1. Substituting this into the multi-parameter calculation model of the double-sliding surface slope considering parameter degradation, we can calculate K2(t) and make a judgment: When |K2(t)-K1(t)|≤ε, it means that the absolute difference between the stability coefficient K1(t) of the assumed first slider ECD and the stability coefficient K2(t) of the second slider ABCE is within the allowable error range, that is, the stability coefficient of the sliding body of the double-sliding surface slope. Where ε is the allowable error; When |K2(t)-K1(t)|>ε, it indicates that the absolute difference between the stability coefficient K1(t) of the assumed first slider ECD and the stability coefficient K2(t) of the second slider ABCE is outside the allowable error range. At this time, the stability coefficient K(t) is solved iteratively using the bisection method based on strength reduction until |K2(t)-K1(t)|≤ε. This indicates that the stability coefficient of the sliding body of the double-sliding surface slope considering parameter deterioration is...

8. The method for obtaining multiple parameters of a double-slip surface slope considering parameter degradation as described in claim 6, characterized in that, The solution for the ultimate loads F1(t) and F2(t) of the sliding body on the double-slip surface slope is as follows: S1, Let F1(t) = 0, At time t, the stability coefficient K1(t) of the first slider ECD is 1. Substituting this into the multi-parameter calculation model of the double-sliding surface slope considering parameter deterioration, K2(t) can be calculated and judged. When |K2(t)-K1(t)|≤ε, it means that the absolute difference between the stability coefficient K1(t) of the assumed first slider ECD and the stability coefficient K2(t) of the second slider ABCE is within the allowable error range, that is, the stability coefficient of the sliding body of the double-sliding surface slope. Next, execute S2; where ε is the allowable error; When |K2(t)-K1(t)|>ε, it indicates that the absolute difference between the stability coefficient K1(t) of the assumed first slider ECD and the stability coefficient K2(t) of the second slider ABCE is outside the allowable error range. In this case, the stability coefficient K(t) is iteratively solved using the bisection method based on strength reduction until |K2(t)-K1(t)|≤ε. This indicates that the stability coefficient of the double-sliding surface slope considering parameter degradation is... Then execute S2; S2. Determine if |K(t)-1.0|≤ε is true: If |K(t)-1.0|≤ε, then execute S2.1; if (K(t)-1.0)>ε, let F1(t)=F1(t)+ΔF. Execute S2.2; if (K(t)-1.0)<ε, then let F1(t)=F1(t)-ΔF、 Execute S2.2; S2.1 The F1(t) and F2(t) set at the moment are the ultimate load results; S2.2 Substitute the preset F1(t) and F2(t) into the multi-parameter calculation model of the double-slip surface slope considering parameter deterioration to calculate K2(t). Then, determine: if |K2(t)-K1(t)|≤ε, it means that the absolute difference between the stability coefficient K1(t) of the assumed first slider ECD and the stability coefficient K2(t) of the second slider ABCE is within the allowable error range, that is, the stability coefficient of the double-slip surface slope is within the allowable error range. Next, execute S3; when |K2(t)-K1(t)|>ε, it indicates that the absolute difference between the stability coefficient K1(t) of the assumed first slider ECD and the stability coefficient K2(t) of the second slider ABCE is outside the allowable error range; at this time, the stability coefficient K(t) is solved iteratively using the bisection method based on strength reduction until |K2(t)-K1(t)|≤ε, which indicates that the stability coefficient of the double-sliding surface slope considering parameter deterioration is... Then execute S3; S3. Determine whether |K(t)-1.0|≤ε holds true: If |K(t)-1.0|≤ε, then the currently set F1(t) and F2(t) are the ultimate load results; If (K(t)-1.0)>ε, then let F1(t)=F1(t)+ΔF、 If (K(t)-1.0)<ε, then let F1(t)=F1(t)-ΔF、 Then execute S2.2 until the result |K(t)-1.0|≤ε is obtained. Then the currently set F1(t) and F2(t) are the desired values.

9. A device for acquiring multiple parameters of a double-slip surface slope considering parameter degradation, characterized in that, The module includes the method for obtaining multiple parameters of a double-slip surface slope considering parameter degradation, as described in any one of claims 1-8.

10. A terminal device, comprising a memory, a processor, and a computer program stored in the memory and executable on the processor, characterized in that, When the processor executes the program, it implements the steps of the method for obtaining multiple parameters of a dual-slip surface slope considering parameter degradation as described in any one of claims 1-8.

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