A point safety factor method and device for evaluating landslide segmental stability
By dividing the landslide into vertical strips, sequentially calculate the point safety coefficient of each strip, combined with the ultimate equilibrium method and numerical analysis method, the problem of difficulty in evaluating the stability of each point of the landslide is solved, and a rapid evaluation and accurate analysis of the overall and local stability of the landslide is achieved.
Patent Information
- Application Number
- CN202411077620.5
- Authority / Receiving Office
- CN · China
- Patent Type
- Patents(China)
- Current Assignee / Owner
- Filing Date
- 2024-08-07
- Publication Date
- 2025-05-13
- Estimated Expiration
- 2044-08-07
AI Technical Summary
The traditional limit equilibrium method is difficult to effectively evaluate the stability of each point on the landslide surface, and the numerical analysis method is complex and relies on a deep understanding of the principles of numerical analysis and the physical and mechanical properties of the rock and soil.
By dividing the landslide to be calculated into several vertical strips, the point safety coefficient of each strip is calculated in sequence, combining the limit equilibrium method and numerical analysis method, the support force and point safety coefficient between the strips are recursively calculated, and the overall safety coefficient of the landslide is finally calculated.
A detailed evaluation of the stability of each point of the landslide is achieved, the stress analysis process is simplified, the dependence on complex numerical analysis methods is reduced, and the accuracy and efficiency of the analysis are improved.
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Figure CN118821289B_ABST
Abstract
Description
Technical Field
[0001] The invention relates to the technical field of landslide stability evaluation, and in particular to a point safety factor method and device for landslide segmented stability evaluation. Background Art
[0002] With the continuous expansion of transportation infrastructure in my country, the widespread existence of high and steep slopes has become a huge challenge. In the field of landslide research, the engineering community mainly focuses on exploring the instability failure mechanism and stability level of landslides. The traditional limit equilibrium method has been widely and maturely used in landslide stability analysis. However, it can only provide an overall safety factor, and it is difficult to effectively evaluate the stability of each point on the landslide sliding surface, and it is also difficult to accurately reflect the local stability and sliding mechanism of the landslide. With the advancement of computer technology, numerical analysis methods have been increasingly widely used in slope engineering. However, the application process of numerical analysis methods requires multiple steps, including "modeling-definition of constitutive-parameter assignment-precision solution", and the computer needs to have a deep understanding of the principles of numerical analysis and the physical and mechanical properties of rock and soil. Summary of the invention
[0003] The purpose of the present invention is to provide a point safety factor method and device for evaluating the segmented stability of landslides to improve the above-mentioned problem. In order to achieve the above-mentioned purpose, the technical solution adopted by the present invention is as follows:
[0004] In a first aspect, the present application provides a point safety factor method for evaluating the segmented stability of a landslide, comprising:
[0005] Divide the landslide to be calculated into several vertical strips;
[0006] Start from the top bar, calculate the point safety factor of each bar in turn, and judge whether the bar can be self-stabilized based on the point safety factor of the bar;
[0007] When the current strip block being traversed cannot stabilize itself, the minimum support force required for the current strip block to reach the limit equilibrium state is calculated, and the minimum support force is the support force provided by the lower strip block of the current strip block, and the lower strip block is the strip block to be traversed next time;
[0008] Calculate the point safety factor of the lower bar of the current bar after providing the minimum support force, and determine whether the bar can be self-stabilized based on the point safety factor:
[0009] If not, repeat the calculation of the minimum support force required for the lower bar to reach the limit equilibrium state;
[0010] When the point safety factors of all strips are calculated, the overall safety factor of the landslide is calculated based on the point safety factors of each strip.
[0011] In a second aspect, the present application further provides a point safety factor device for evaluating the segmented stability of a landslide, comprising:
[0012] Division module: divide the landslide to be calculated into several vertical strips;
[0013] Traversal module: traverses from the top bar, calculates the point safety factor of each bar in turn, and determines whether the bar can be self-stabilized based on the point safety factor of the bar;
[0014] The first calculation module: when the current strip block being traversed cannot stabilize itself, the minimum support force required for the current strip block to reach the limit equilibrium state is calculated, and the minimum support force is the support force provided by the lower strip block of the current strip block, and the lower strip block is the strip block to be traversed next time;
[0015] The second calculation module: calculates the point safety factor of the lower bar of the current bar after providing the minimum support force, and determines whether the bar can be self-stabilized based on the point safety factor:
[0016] If not, repeat the calculation of the minimum support force required for the lower bar to reach the limit equilibrium state;
[0017] The third calculation module: when the point safety factors of all strips and blocks are calculated, the overall safety factor of the landslide is calculated based on the point safety factors of each strip and block.
[0018] In a third aspect, the present application also provides a point safety factor device for evaluating the segmented stability of a landslide, comprising:
[0019] Memory for storing computer programs;
[0020] A processor is used to implement the steps of the point safety factor method for evaluating the segmented stability of landslide when executing the computer program.
[0021] In a fourth aspect, the present application further provides a readable storage medium having a computer program stored thereon, and when the computer program is executed by a processor, the steps of the above-mentioned point safety factor method based on landslide segmented stability evaluation are implemented.
[0022] The beneficial effects of the present invention are:
[0023] 1. The present invention combines the limit equilibrium method with the numerical analysis point safety factor method, and calculates the point safety factor of each strip in turn based on the recursive thinking, so as to calculate the overall safety factor of the landslide. The spatial sliding mechanism of the landslide is studied by analyzing the distribution law of the point safety factor, and then targeted support protection is carried out; and the overall stability of the landslide is determined by analyzing the overall safety factor.
[0024] 2. The present invention applies Pan Jiazheng's maximum and minimum principle to slope stability analysis, ensuring that when the soil slope may slide along multiple sliding surfaces, the sliding surface with the least resistance can be accurately determined, thereby optimizing the determination of the direction and magnitude of the thrust between strips and blocks. It simplifies the force analysis process, reduces the dependence on complex numerical analysis methods, and enhances the applicability of the method, making it suitable for both overall stability analysis and rapid evaluation of local stability, significantly improving the accuracy and efficiency of the analysis.
[0025] Other features and advantages of the present invention will be described in the following description, and partly become apparent from the description, or be understood by implementing the embodiments of the present invention. The purpose and other advantages of the present invention can be realized and obtained by the structures particularly pointed out in the written description, claims, and drawings. BRIEF DESCRIPTION OF THE DRAWINGS
[0026] In order to more clearly illustrate the technical solutions of the embodiments of the present invention, the drawings required for use in the embodiments are briefly introduced below. It should be understood that the following drawings only show certain embodiments of the present invention and therefore should not be regarded as limiting the scope. For ordinary technicians in this field, other related drawings can be obtained based on these drawings without creative work.
[0027] Figure 1 It is a schematic flow chart of the point safety factor method for evaluating the segmented stability of landslide described in Example 1 of the present invention;
[0028] Figure 2 This is a schematic diagram of landslide segmentation described in Example 1 of the present invention;
[0029] Figure 3 Schematic diagram of force analysis of strip i in Example 1 of the present invention;
[0030] Figure 4 Schematic diagram of the force analysis of the strip i+1 in Example 1 of the present invention Figure 1 ;
[0031] Figure 5 Schematic diagram of the force analysis of the strip i+1 in Example 1 of the present invention Figure 2 ;
[0032] Figure 6 It is a schematic diagram of landslide segmentation described in Example 2 of the present invention;
[0033] Figure 7 This is a schematic diagram of the safety factor of the landslide point described in Example 2 of the present invention;
[0034] Figure 8It is a schematic diagram of the structure of a point safety factor device for evaluating the segmented stability of a landslide described in an embodiment of the present invention;
[0035] Fig. 9 It is a schematic diagram of the structure of a point safety factor device for evaluating the segmented stability of a landslide described in an embodiment of the present invention.
[0036] Markings in the figure:
[0037] 800. Point safety factor device for landslide segmented stability evaluation; 801. Processor; 802. Memory; 803. Multimedia component; 804. I / O interface; 805. Communication component. DETAILED DESCRIPTION
[0038] In order to make the purpose, technical solutions and advantages of the embodiments of the present invention clearer, the technical solutions in the embodiments of the present invention will be clearly and completely described below in conjunction with the drawings in the embodiments of the present invention. Obviously, the described embodiments are part of the embodiments of the present invention, rather than all of the embodiments. The components of the embodiments of the present invention generally described and shown in the drawings here can be arranged and designed in various different configurations. Therefore, the following detailed description of the embodiments of the present invention provided in the drawings is not intended to limit the scope of the claimed invention, but merely represents selected embodiments of the present invention. Based on the embodiments in the present invention, all other embodiments obtained by ordinary technicians in this field without making creative work are within the scope of protection of the present invention.
[0039] It should be noted that similar reference numerals and letters represent similar items in the following drawings, so once an item is defined in one drawing, it does not need to be further defined and explained in the subsequent drawings. At the same time, in the description of the present invention, the terms "first", "second", etc. are only used to distinguish the description and cannot be understood as indicating or implying relative importance.
[0040] Embodiment 1:
[0041] This embodiment provides a point safety factor method for evaluating the segmented stability of a landslide. In this embodiment, the following assumptions are made about the landslide:
[0042] a. Treat the slope stability problem as a plane strain problem;
[0043] b. The slider is subjected to a tangential force parallel to the sliding surface and a normal pressure perpendicular to the sliding surface;
[0044] c. The sliding body is regarded as an ideal rigid body and does not deform during the force analysis process; once the shear stress on the sliding surface reaches the shear strength of the sliding body material, the sliding body begins to produce shear deformation along the sliding surface;
[0045] d. The failure of the sliding surface is based on the Mohr-Coulomb strength criterion;
[0046] e. The direction and magnitude of the combined force between the bars are determined by Pan Jiazheng's maximum and minimum principle;
[0047] f. The static equilibrium condition is satisfied along the entire sliding surface, but the moment equilibrium condition is not satisfied;
[0048] g. The range of the direction of the support force of the lower slider on the strip i is (-90°, 90°). At the same time, it is stipulated that when the support force is in the same direction as the gravity in the vertical direction, the angle α of the support force is negative; when the support force points to the strip to be studied in the horizontal direction, the support force P is positive. Since the soil cannot provide tensile stress, the effective range of P is (0, +∞).
[0049] See also Figure 1 , the figure shows that the method includes:
[0050] S1. Divide the landslide to be calculated into several vertical strips;
[0051] For details, please refer to Figure 2 , divide the sliding body of the landslide into n strips and number them. Specifically, the first strip at the top is numbered 1, and the strips are numbered downwards in sequence.
[0052] Based on the above embodiments, the method includes:
[0053] S2. Starting from the top bar, traverse and calculate the point safety factor of each bar in turn, and determine whether the bar can be self-stabilized based on the point safety factor of the bar;
[0054] Specifically, step S2 includes:
[0055] S21. Get the self-gravity W of the first bar 1 , cohesion c, internal friction angle and the sliding surface inclination angle θ 1 , to calculate the tangential downward sliding force E of the first bar 1 and normal pressure N 1 , the first stripe is the first stripe to be traversed;
[0056] Specifically, the downward sliding force E of the first bar 1 for:
[0057] E 1 =W 1 sinθ 1 ; (1)
[0058] Normal pressure of the first bar N 1 for:
[0059] N 1 =W 1 cosθ 1 ; (2)
[0060] S22. Calculate the point safety factor of the first strip according to the downward sliding force and normal positive pressure of the first strip:
[0061]
[0062] In the formula, l 1 Indicates the slope length of the first bar.
[0063] S23. Determine whether the point safety factor is greater than a preset threshold. In this embodiment, the preset threshold is 1:
[0064] If so, it means that the first bar can stabilize itself;
[0065] Otherwise, it cannot stabilize itself.
[0066] Based on the above embodiments, the method includes:
[0067] S3. When the current strip being traversed cannot stabilize itself, the minimum support force required for the current strip to reach the limit equilibrium state is calculated, and the minimum support force is the support force provided by the lower strip of the current strip, and the lower strip is the strip to be traversed next time;
[0068] Specifically, step S3 includes:
[0069] S31. Set the point safety factor of the current strip to the preset threshold value 1, and establish a static equilibrium model of the current strip;
[0070] For details, please refer to Figure 3 , let the current bar be bar i, and assume that bar i is supported by the lower bar i+1 i Therefore, the tangential downward sliding force E of strip i i for:
[0071] E i =Wis i nθ i -P i cos(α i -θ i ); (4)
[0072] Where W i represents the self-weight of bar i, θ i represents the sliding surface inclination of block i, α i represents the support force P of bar i i direction;
[0073] Normal pressure N of bar i i for:
[0074] N i =W i cosθ i -P i sin(α i -θ i ); (5)
[0075] According to the tangential downward sliding force E of strip i i and normal pressure N i The static equilibrium model established is:
[0076]
[0077] In the formula, l i Represents the slope length of the i-th bar.
[0078] S32. Determine the effective threshold of the support force required by the current strip and the effective range of the support force direction;
[0079] Specifically, according to the assumptions of this implementation, the effective threshold of the supporting force is (0, +∞), and the effective range of the supporting force direction is (-90°, 90°).
[0080] S33. Based on Pan Jiazheng's maximum and minimum principle, the static equilibrium model is used to calculate the minimum value of the supporting force and the direction of the supporting force corresponding to the minimum value;
[0081] In this embodiment, according to Pan Jiazheng's minimum principle, if the soil slope may fail along multiple sliding surfaces, then it will fail along the sliding surface with the smallest resistance when it fails. Once the sliding surface is determined, according to the maximum principle, the reaction force and internal force on the soil slope will automatically adjust to exert the maximum anti-sliding ability. From this, it can be inferred that if each slope block considers its own deadweight W i After that, it cannot remain stable, so the support force P provided by the lower bar i It should be a minimum value within its effective range. i With its force direction α i Related, according to the force direction α i With support force P i The minimum support force P is determined by the functional relationship i The corresponding force direction α i .
[0082] Specifically, the step S33 includes:
[0083] S331. Converting the static equilibrium model into a function model with the direction of the supporting force as the independent variable and the supporting force as the dependent variable;
[0084]
[0085] In the formula, λ 1 and λ 2 is the calculation parameter, and its calculation method is:
[0086]
[0087] In the formula, λ 3 is the calculation parameter.
[0088] S332. Performing a first-order derivation on the function model to obtain a first-order derivative, and determining an extreme value of the supporting force according to the first-order derivative;
[0089] Specifically, the first-order derivative is:
[0090]
[0091] In the formula, λ 5 is the calculation parameter, λ 5 The calculation method is:
[0092]
[0093] Let P′ i = 0, we can find the α corresponding to the extreme value of the supporting force i .
[0094] S333. Perform a second-order derivative on the function model to obtain a second-order derivative, and determine a minimum value from the extreme values of the supporting force according to the second-order derivative;
[0095] Specifically, the second-order derivative is:
[0096]
[0097] Substitute the extreme value of the supporting force into the second-order derivative to satisfy P″ i When >0, the obtained extreme value is the minimum value.
[0098] S334. Obtain the support force direction α corresponding to the minimum value i .
[0099] S34. When the calculated support force direction is within the valid range, determine whether the support force corresponding to the minimum value is within the valid threshold:
[0100] If so, the supporting force corresponding to the supporting force direction is the minimum supporting force.
[0101] Based on the above embodiments, the method includes:
[0102] S4. Calculate the point safety factor of the lower bar i+1 of the current bar after providing the minimum support force, and determine whether the bar can be self-stabilized based on the point safety factor;
[0103] For details, please refer to Figure 4 , the step S4 comprises:
[0104] S41. Get the self-weight W of the lower bar i+1 , cohesion c, internal friction angle and the sliding surface inclination angle θ i+1 ;
[0105] S42. Calculate the downward sliding force and normal pressure of the lower strip based on the self-weight, cohesion, internal friction angle, sliding surface inclination and the minimum support force provided by the lower strip;
[0106] Specifically, the downward sliding force E of the lower bar i+1 is i+1 for:
[0107] E i+1 =W i+1 sinθ i+1 +P i cos(α i -θ i+1 ); (12)
[0108] The normal positive pressure N of the lower bar i+1 i+1 for:
[0109] N i+1 =W i+1 cosθ i+1 +P i sin(α i -θ i+1 ); (13)
[0110] S43. Calculate the point safety factor F of the lower strip according to the downward sliding force and normal positive pressure of the lower strip s(i+1) :
[0111]
[0112] In the formula, l i+1 Represents the slope length of bar i+1.
[0113] S44. Determine whether the safety factor of the point is greater than a preset threshold:
[0114] If so, it means that the lower bar is self-stabilizing;
[0115] Otherwise, it cannot stabilize itself.
[0116] S45. If it cannot stabilize itself, then repeatedly calculate the minimum support force required for the lower bar to reach the limit equilibrium state;
[0117] Specifically, if the lower bar i+1 cannot stabilize itself, please refer to Figure 5 , then assume that the lower bar i+1 is supported by the lower bar i+2 i+1 , establish a static equilibrium model for the lower strip i+1:
[0118]
[0119] S46. Converting the static equilibrium model into a function model with the direction of the supporting force as the independent variable and the supporting force as the dependent variable;
[0120]
[0121] In the formula, λ 1 and λ 2 The calculation method is:
[0122]
[0123] In the formula, λ 4 is the calculation parameter.
[0124] S47. Performing a first-order derivation on the function model to obtain a first-order derivative, and determining an extreme value of the supporting force according to the first-order derivative;
[0125] Specifically, the first-order derivative is:
[0126]
[0127] In the formula, λ 5 The calculation method is:
[0128]
[0129] Let P′ i+1 = 0, we can find the α corresponding to the extreme value of the supporting force i+1 .
[0130] S48. performing a second-order derivative on the function model to obtain a second-order derivative, and determining a minimum value from the extreme values of the supporting force according to the second-order derivative;
[0131] Specifically, the second-order derivative is:
[0132]
[0133] Substitute the extreme value of the supporting force into the second-order derivative to satisfy P″ i+1>0, the obtained extreme value is the minimum value. Similarly, when the direction of the supporting force is within the valid range and the supporting force corresponding to the minimum value is within the valid threshold, the supporting force corresponding to the direction of the supporting force is the minimum supporting force.
[0134] And so on, traverse each strip from the top of the landslide downwards in turn until the point safety factor of each strip is calculated.
[0135] Based on the above embodiments, the method includes:
[0136] S5. When the point safety factors of all strips are calculated, the overall safety factor of the landslide is calculated based on the point safety factors of each strip;
[0137] Specifically, step S5 includes:
[0138] S51. When the point safety factor of the last traversed strip is greater than a preset threshold, the point safety factors and sliding forces of all strips are obtained, wherein the point safety factor of the strip that cannot stabilize itself is set to the preset threshold of 1;
[0139] S52. Perform a weighted summation on the product of the sliding force of each strip and its point safety factor to obtain a first sum value
[0140] S53. Calculate the sum of the sliding forces of each strip to obtain the second sum value
[0141] S54. Calculate the overall safety factor of the landslide based on the first and second sums:
[0142]
[0143] In the formula, F s Represents the overall safety factor of the landslide.
[0144] Embodiment 2:
[0145] This example calculates and analyzes the cohesion c and internal friction angle of a slope located in northeastern Sichuan in its natural state and under rainstorm conditions. As shown in Table 1:
[0146] Table 1
[0147]
[0148] See also Figure 6 , the landslide to be calculated is divided into 23 vertical blocks, and the blocks are numbered from the top to the bottom. The point safety factor of each block is calculated in turn using the method provided in Example 1. The calculation results are as follows: Figure 7According to the point safety factor of each strip, the overall safety factor of the slope in the natural state and the saturated state is calculated, and the results are shown in Table 2:
[0149] Table 2
[0150] state Overall safety factor Natural state 2.017 Saturation 1.338
[0151] In order to verify the applicability of this method in calculating the overall stability of the slope, the MP method and the Spencer method are used to calculate the overall safety factor of the slope in the natural state and the saturated state. The results are shown in Table 3:
[0152] Table 3
[0153] Calculation method Natural state Saturation Spencer Method 2.012 1.328 Methods 2.017 1.338
[0154] It can be seen from Table 3 that the calculation results of the method proposed in this embodiment are basically the same as those of the Spencer method, and the calculation accuracy requirements are met. Therefore, the point safety factor calculation method proposed in this embodiment is suitable for calculating the overall safety factor of the slope.
[0155] Embodiment 3:
[0156] like Figure 8 As shown, this embodiment provides a point safety factor device for evaluating the segmented stability of a landslide, the device comprising:
[0157] Division module: divide the landslide to be calculated into several vertical strips;
[0158] Traversal module: traverses from the top bar, calculates the point safety factor of each bar in turn, and determines whether the bar can be self-stabilized based on the point safety factor of the bar;
[0159] The first calculation module: when the current strip block being traversed cannot stabilize itself, the minimum support force required for the current strip block to reach the limit equilibrium state is calculated, and the minimum support force is the support force provided by the lower strip block of the current strip block, and the lower strip block is the strip block to be traversed next time;
[0160] The second calculation module: calculates the point safety factor of the lower bar of the current bar after providing the minimum support force, and determines whether the bar can be self-stabilized based on the point safety factor:
[0161] If not, repeat the calculation of the minimum support force required for the lower bar to reach the limit equilibrium state;
[0162] The third calculation module: when the point safety factors of all strips and blocks are calculated, the overall safety factor of the landslide is calculated based on the point safety factors of each strip and block.
[0163] Based on the above embodiment, the traversal module includes:
[0164] A first acquisition unit: acquires the self-weight, cohesion, internal friction angle and sliding surface inclination of the first strip to calculate the tangential sliding force and normal positive pressure of the first strip, wherein the first strip is the first traversed strip;
[0165] The first calculation unit: calculates the point safety factor of the first strip according to the tangential downward sliding force and normal positive pressure of the first strip;
[0166] The first judging unit is used to judge whether the safety factor of the point is greater than a preset threshold value:
[0167] If so, it means that the first bar can stabilize itself;
[0168] Otherwise, it cannot stabilize itself.
[0169] Based on the above embodiment, the first calculation module includes:
[0170] Model building unit: set the point safety factor of the current strip to a preset threshold value, and build a static equilibrium model of the current strip;
[0171] Determination unit: determine the effective threshold of the support force required by the current strip and the effective range of the support force direction;
[0172] The second calculation unit: based on Pan Jiazheng's maximum and minimum principle, using the static equilibrium model to calculate the minimum value of the supporting force and the supporting force direction corresponding to the minimum value;
[0173] The second judgment unit: when the calculated support force direction is within the valid range, judge whether the support force corresponding to the minimum value is within the valid threshold value:
[0174] If so, the supporting force corresponding to the supporting force direction is the minimum supporting force.
[0175] Based on the above embodiment, the second calculation unit includes:
[0176] A conversion unit: converting the static equilibrium model into a function model with the direction of the supporting force as an independent variable and the supporting force as a dependent variable;
[0177] First-order derivative unit: performing first-order derivative on the function model to obtain a first-order derivative, and determining an extreme value of the supporting force according to the first-order derivative;
[0178] A second-order derivative unit: performing a second-order derivative on the function model to obtain a second-order derivative, and determining a minimum value from the extreme values of the supporting force according to the second-order derivative;
[0179] The second acquisition unit is used to acquire the support force direction corresponding to the minimum value.
[0180] Based on the above embodiment, the second calculation module includes:
[0181] The third acquisition unit: acquires the self-weight, cohesion, internal friction angle and sliding surface inclination of the lower strip;
[0182] The third calculation unit: based on the self-weight, cohesion, internal friction angle, sliding surface inclination and the minimum support force provided by the lower bar, calculates the tangential sliding force and normal positive pressure of the lower bar;
[0183] The fourth calculation unit: calculates the point safety factor of the lower strip according to the tangential downward sliding force and normal positive pressure of the lower strip;
[0184] The third judging unit is used to judge whether the safety factor of the point is greater than a preset threshold value:
[0185] If so, it means that the lower bar is self-stabilizing;
[0186] Otherwise, it cannot stabilize itself.
[0187] Based on the above embodiment, the third calculation module includes:
[0188] The fourth acquisition unit: when the point safety factor of the last traversed strip is greater than a preset threshold, the point safety factors and the sliding force of all strips are acquired, wherein the point safety factor of the strip that cannot stabilize itself is set as the preset threshold;
[0189] Weighted summation unit: the first sum is obtained by weighted summing the product of the sliding force of each strip and its point safety factor;
[0190] The fifth calculation unit: calculates the sum of the sliding forces of each strip to obtain a second sum value;
[0191] The fourth calculation unit: the overall safety factor of the landslide is calculated according to the first sum and the second sum.
[0192] It should be noted that, regarding the device in the above embodiment, the specific manner in which each module performs the operation has been described in detail in the embodiment of the method, and will not be elaborated here.
[0193] Embodiment 4:
[0194] Corresponding to the above method embodiment, this embodiment also provides a point safety factor device for evaluating the segmented stability of a landslide. The point safety factor device for evaluating the segmented stability of a landslide described below and the point safety factor method for evaluating the segmented stability of a landslide described above can be referenced to each other.
[0195] Fig. 9 8 is a block diagram of a point safety factor device 800 for evaluating the segmented stability of a landslide according to an exemplary embodiment. Fig. 9 As shown, the point safety factor device 800 for evaluating the stability of landslide segments may include: a processor 801 and a memory 802. The point safety factor device 800 for evaluating the stability of landslide segments may also include one or more of a multimedia component 803, an I / O interface 804, and a communication component 805.
[0196] The processor 801 is used to control the overall operation of the point safety factor device 800 for evaluating the stability of landslide segments, so as to complete all or part of the steps in the point safety factor method for evaluating the stability of landslide segments. The memory 802 is used to store various types of data to support the operation of the point safety factor device 800 for evaluating the stability of landslide segments, such as instructions for any application or method used to operate on the point safety factor device 800 for evaluating the stability of landslide segments, and application-related data, such as contact data, sent and received messages, pictures, audio, video, etc. The memory 802 can be implemented by any type of volatile or non-volatile storage device or a combination thereof, such as static random access memory (SRAM), electrically erasable programmable read-only memory (EEPROM), erasable programmable read-only memory (EPROM), programmable read-only memory (PROM), read-only memory (ROM), magnetic memory, flash memory, disk or optical disk. The multimedia component 803 may include a screen and an audio component. The screen may be, for example, a touch screen, and the audio component is used to output and / or input audio signals. For example, the audio component may include a microphone for receiving external audio signals. The received audio signal may be further stored in the memory 802 or sent via the communication component 805. The audio component also includes at least one speaker for outputting audio signals. The I / O interface 804 provides an interface between the processor 801 and other interface modules, and the above-mentioned other interface modules can be keyboards, mice, buttons, etc. These buttons can be virtual buttons or physical buttons. The communication component 805 is used for wired or wireless communication between the point safety factor device 800 for the landslide segmented stability evaluation and other devices. Wireless communication, such as Wi-Fi, Bluetooth, Near Field Communication (NFC), 2G, 3G or 4G, or a combination of one or more of them, so the corresponding communication component 805 can include: Wi-Fi module, Bluetooth module, NFC module.
[0197] In an exemplary embodiment, the point safety factor device 800 for evaluating the segmented stability of a landslide can be implemented by one or more application specific integrated circuits (ASIC), digital signal processors (DSP), digital signal processing devices (DSPD), programmable logic devices (PLD), field programmable gate arrays (FPGA), controllers, microcontrollers, microprocessors or other electronic components to execute the above-mentioned point safety factor method for evaluating the segmented stability of a landslide.
[0198] In another exemplary embodiment, a computer-readable storage medium including program instructions is also provided, and when the program instructions are executed by a processor, the steps of the point safety factor method for evaluating the segmented stability of a landslide are implemented. For example, the computer-readable storage medium may be the memory 802 including the program instructions, and the program instructions may be executed by the processor 801 of the point safety factor device 800 for evaluating the segmented stability of a landslide to complete the point safety factor method for evaluating the segmented stability of a landslide.
[0199] Embodiment 5:
[0200] Corresponding to the above method embodiment, a readable storage medium is also provided in this embodiment. The readable storage medium described below and the point safety factor method for evaluating the segmented stability of a landslide described above can be referred to each other.
[0201] A readable storage medium stores a computer program, which, when executed by a processor, implements the steps of the point safety factor method for evaluating the segmented stability of a landslide in the above method embodiment.
[0202] The readable storage medium may specifically be a U disk, a mobile hard disk, a read-only memory (ROM), a random access memory (RAM), a magnetic disk or an optical disk, or other readable storage medium that can store program codes.
[0203] The above description is only a preferred embodiment of the present invention and is not intended to limit the present invention. For those skilled in the art, the present invention may have various modifications and variations. Any modification, equivalent replacement, improvement, etc. made within the spirit and principle of the present invention shall be included in the protection scope of the present invention.
[0204] The above is only a specific embodiment of the present invention, but the protection scope of the present invention is not limited thereto. Any person skilled in the art can easily think of changes or substitutions within the technical scope disclosed by the present invention, which should be included in the protection scope of the present invention. Therefore, the protection scope of the present invention should be based on the protection scope of the claims.
Claims
1. A point safety factor method for evaluating the segmented stability of landslides, characterized in that: include: Divide the landslide to be calculated into several vertical strips; Start from the top bar, calculate the point safety factor of each bar in turn, and judge whether the bar can be self-stabilized based on the point safety factor of the bar; When the current strip block being traversed cannot stabilize itself, the minimum support force required for the current strip block to reach the limit equilibrium state is calculated. The minimum support force is the support force provided by the lower strip block of the current strip block. The lower strip block is the strip block to be traversed next time, including: Set the point safety factor of the current strip to the preset threshold value, and establish a static equilibrium model of the current strip; Determine the effective threshold of the support force required by the current strip and the effective range of the support force direction; Based on Pan Jiazheng's maximum and minimum principle, the static equilibrium model is used to calculate the minimum value of the supporting force and the supporting force direction corresponding to the minimum value, including: Converting the static equilibrium model into a function model with the direction of the supporting force as an independent variable and the supporting force as a dependent variable; Performing a first-order derivation on the function model to obtain a first-order derivative, and determining an extreme value of the supporting force according to the first-order derivative; Performing a second-order derivative on the function model to obtain a second-order derivative, and determining a minimum value from the extreme values of the supporting force according to the second-order derivative; Obtaining the supporting force direction corresponding to the minimum value; When the calculated support force direction is within the valid range, determine whether the support force corresponding to the minimum value is within the valid threshold: If yes, the supporting force corresponding to the supporting force direction is the minimum supporting force; Calculate the point safety factor of the lower bar of the current bar after providing the minimum support force, and determine whether the bar can be self-stabilized based on the point safety factor: If not, repeat the calculation of the minimum support force required for the lower bar to reach the limit equilibrium state; When the point safety factors of all strips are calculated, the overall safety factor of the landslide is calculated based on the point safety factors of each strip.
2. The point safety factor method for evaluating the segmented stability of landslide according to claim 1 is characterized in that: Starting from the top bar, the point safety factor of each bar is calculated in turn. Based on the point safety factor of the bar, it is determined whether the bar can be self-stabilized, including: Obtaining the self-weight, cohesion, internal friction angle and sliding surface inclination of the first strip to calculate the tangential sliding force and normal positive pressure of the first strip, wherein the first strip is the first strip to be traversed; The point safety factor of the first strip is calculated based on the downward tangential force and normal positive pressure of the first strip; Determine whether the safety factor of the point is greater than a preset threshold: If so, it means that the first bar can stabilize itself; Otherwise, it cannot stabilize itself.
3. The point safety factor method for evaluating the segmented stability of landslide according to claim 1 is characterized in that: Calculating the point safety factor of the lower bar of the current bar after providing the minimum support force, and judging whether the bar can be self-stabilized based on the point safety factor, including: Obtain the self-weight, cohesion, internal friction angle and sliding surface inclination of the lower bar; Based on the self-weight, cohesion, internal friction angle, sliding surface inclination and the minimum support force provided by the lower strip, the tangential sliding force and normal pressure of the lower strip are calculated; The point safety factor of the lower strip is calculated based on the tangential downward sliding force and normal positive pressure of the lower strip; Determine whether the safety factor of the point is greater than a preset threshold: If so, it means that the lower bar is self-stabilizing; Otherwise, it cannot stabilize itself.
4. A point safety factor device for evaluating the segmental stability of a landslide, used in the point safety factor method for evaluating the segmental stability of a landslide as described in any of claims 1 to 3, characterized in that: include: Division module: divide the landslide to be calculated into several vertical strips; Traversal module: traverses from the top bar, calculates the point safety factor of each bar in turn, and determines whether the bar can be self-stabilized based on the point safety factor of the bar; The first calculation module: when the current strip block being traversed cannot stabilize itself, the minimum support force required for the current strip block to reach the limit equilibrium state is calculated, and the minimum support force is the support force provided by the lower strip block of the current strip block, and the lower strip block is the strip block to be traversed next time; The second calculation module: calculates the point safety factor of the lower bar of the current bar after providing the minimum support force, and determines whether the bar can be self-stabilized based on the point safety factor: If not, repeat the calculation of the minimum support force required for the lower bar to reach the limit equilibrium state; The third calculation module: when the point safety factors of all strips and blocks are calculated, the overall safety factor of the landslide is calculated based on the point safety factors of each strip and block.
5. The point safety factor device for evaluating the segmented stability of landslide according to claim 4 is characterized in that: The traversal module includes: A first acquisition unit: acquires the self-weight, cohesion, internal friction angle and sliding surface inclination of the first strip to calculate the tangential sliding force and normal positive pressure of the first strip, wherein the first strip is the first traversed strip; The first calculation unit: calculates the point safety factor of the first strip according to the tangential downward sliding force and normal positive pressure of the first strip; The first judging unit is used to judge whether the safety factor of the point is greater than a preset threshold value: If so, it means that the first bar can stabilize itself; Otherwise, it cannot stabilize itself.
6. The point safety factor device for evaluating the segmented stability of landslide according to claim 4, characterized in that: The second calculation module includes: The third acquisition unit: acquires the self-weight, cohesion, internal friction angle and sliding surface inclination of the lower strip; The third calculation unit: based on the self-weight, cohesion, internal friction angle, sliding surface inclination and the minimum support force provided by the lower bar, calculates the tangential sliding force and normal positive pressure of the lower bar; The fourth calculation unit: calculates the point safety factor of the lower strip according to the tangential downward sliding force and normal positive pressure of the lower strip; The third judging unit is used to judge whether the safety factor of the point is greater than a preset threshold value: If so, it means that the lower bar is self-stabilizing; Otherwise, it cannot stabilize itself.
Citation Information
Patent Citations
Sectional landslide-based safety coefficient calculation method, apparatus and device, and medium
CN115858996A