Slope safety calculation method, device and equipment and readable storage medium

Abstract

The application provides a slope safety calculation method, device and equipment and a readable storage medium. The method comprises the following steps: acquiring mechanical parameters of each sliding block on a slope; a sliding block with an anti-slide pile next to the rear end of the sliding block is recorded as a first type sliding block, and vice versa, recorded as a second type sliding block; calculating a first residual landslide thrust of each second type sliding block; calculating a pile top assumed displacement of each anti-slide pile, and calculating a second residual landslide thrust of each first type sliding block by each anti-slide pile according to the pile top assumed displacement; calculating a fourth residual landslide thrust of each first type sliding block according to the second residual landslide thrust of each first type sliding block by each anti-slide pile; and calculating a safety coefficient of the slope according to the first residual landslide thrust of each second type sliding block and the fourth residual landslide thrust of each first type sliding block. The application can reflect the safety coefficient of the slope in real time and is beneficial to real-time and effective safety management of the slope.

Description

Technical Field

[0001] This invention relates to the field of slope technology, and more specifically, to slope safety calculation methods, apparatus, equipment, and readable storage media. Background Technology

[0002] Compared to highway slopes, railway slopes are much higher and more prone to landslides. Therefore, unlike highway slopes which often only require a single row of anti-slide piles, railway slopes typically require multiple rows of anti-slide piles. This is particularly true for the Ya'an-Linzhi railway currently under construction, where multiple rows of anti-slide piles are almost universally used for slope protection. However, there is currently no method for verifying the rationality of using multiple rows of anti-slide piles for slope support, making it difficult to address real-world engineering challenges. In particular, using multiple rows of anti-slide piles can create residual landslide thrust, potentially leading to localized soil or pile failure. Furthermore, the actual height of the load-bearing section of the anti-slide piles often differs significantly from the assumed height, hindering accurate and effective slope management. Summary of the Invention

[0003] The purpose of this invention is to provide a method, apparatus, device, and readable storage medium for calculating slope safety, in order to improve the above-mentioned problems.

[0004] To achieve the above objectives, the embodiments of this application provide the following technical solutions:

[0005] On the one hand, embodiments of this application provide a method for calculating slope safety, the method comprising:

[0006] Obtain the mechanical parameters of each slider on the slope;

[0007] Slider blocks with anti-slip piles immediately adjacent to their rear ends are designated as Type I sliders, and those without are designated as Type II sliders.

[0008] Based on the mechanical parameters, the first residual landslide thrust of each second-type slider is calculated using the transfer coefficient method;

[0009] Based on the mechanical parameters, the assumed displacement of the top of each anti-slide pile is calculated, and the second residual landslide thrust of each anti-slide pile on each first type of slider is calculated based on the assumed displacement of the top of the pile.

[0010] Calculate the fourth remaining landslide thrust of each type I slider based on the second remaining landslide thrust of each anti-slide pile on each type I slider.

[0011] The safety factor of the slope is calculated based on the first remaining landslide thrust of each second-type slider and the fourth remaining landslide thrust of each first-type slider.

[0012] Secondly, embodiments of this application provide a slope safety calculation device, which includes an acquisition module, a marking module, a first calculation module, a second calculation module, a third calculation module, and a monitoring module.

[0013] The acquisition module is used to acquire the mechanical parameters of each slider on the slope;

[0014] The marking module is used to mark sliders with anti-slip stakes immediately behind their rear end as type 1 sliders, and otherwise as type 2 sliders.

[0015] The first calculation module is used to calculate the first remaining landslide thrust of each second type of slider according to the mechanical parameters and the transfer coefficient method.

[0016] The second calculation module is used to calculate the assumed displacement of the pile top of each anti-slide pile according to the mechanical parameters, and to calculate the second residual landslide thrust of each anti-slide pile on each first type of slider according to the assumed displacement of the pile top.

[0017] The third calculation module is used to calculate the fourth remaining landslide thrust of each type 1 slider based on the second remaining landslide thrust of each anti-slide pile on each type 1 slider.

[0018] The monitoring module is used to calculate the safety factor of the slope based on the first remaining landslide thrust of each second-type slider and the fourth remaining landslide thrust of each first-type slider.

[0019] Thirdly, embodiments of this application provide a slope safety calculation device, the device including a memory and a processor. The memory is used to store a computer program; the processor is used to execute the computer program to implement the steps of the above-described slope safety calculation method.

[0020] Fourthly, embodiments of this application provide a readable storage medium storing a computer program, which, when executed by a processor, implements the steps of the above-described slope safety calculation method.

[0021] The beneficial effects of this invention are as follows:

[0022] 1. This invention utilizes a combination of on-site monitoring and computational theory to obtain a method for verifying the rationality of multi-row anti-slide pile-supported slopes, thereby providing a reference for railway slope support and management.

[0023] 2. Currently, there is no method to justify the use of multiple rows of anti-slide piles to reinforce slopes. This invention analyzes the rationality of the slopes through monitoring data and calculation methods, and it is both engineering and computationally sound. It can also reflect the slope safety factor in real time, which is beneficial for real-time and effective safety management of slopes.

[0024] Other features and advantages of the invention will be set forth in the following description, and will be apparent in part from the description, or may be learned by practicing embodiments of the invention. The objects and other advantages of the invention may be realized and obtained by means of the structures particularly pointed out in the written description, claims, and drawings. Attached Figure Description

[0025] To more clearly illustrate the technical solutions of the embodiments of the present invention, the accompanying drawings used in the embodiments will be briefly introduced below. It should be understood that the following drawings only show some embodiments of the present invention and should not be regarded as a limitation on the scope. For those skilled in the art, other related drawings can be obtained based on these drawings without creative effort.

[0026] Figure 1 This is a schematic diagram of the slope safety calculation method described in the embodiments of the present invention;

[0027] Figure 2 This is a schematic diagram of the slope safety calculation device described in this embodiment of the invention;

[0028] Figure 3 This is a schematic diagram of the slope safety calculation device described in this embodiment of the invention;

[0029] The diagram is labeled as follows: 701, Acquisition Module; 702, Marking Module; 703, First Calculation Module; 704, Second Calculation Module; 705, Third Calculation Module; 706, Monitoring Module; 7041, First Calculation Unit; 7042, Second Calculation Unit; 7043, Third Calculation Unit; 7044, Fourth Calculation Unit; 7045, Fifth Calculation Unit; 70441, Comparison Subunit; 7051, Comparison Unit; 7052, First Acquisition Unit; 7053, Second Acquisition Unit; 70531, Judgment Subunit; 70532, First Calculation Subunit; 70533, Second Calculation Subunit; 800, Slope Safety Calculation Device; 801, Processor; 802, Memory; 803, Multimedia Component; 804, I / O Interface; 805, Communication Component. Detailed Implementation

[0030] 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. Obviously, the described embodiments are only some, not all, of the embodiments of the present invention. The components of the embodiments of the present invention described and shown in the accompanying drawings can generally be arranged and designed in various different configurations. Therefore, the following detailed description of the embodiments of the present invention provided in the accompanying drawings is not intended to limit the scope of the claimed invention, but merely to illustrate selected embodiments of the invention. All other embodiments obtained by those skilled in the art based on the embodiments of the present invention without inventive effort are within the scope of protection of the present invention.

[0031] It should be noted that similar reference numerals or letters in the following figures indicate similar items; therefore, once an item is defined in one figure, it does not need to be further defined and explained in subsequent figures. Furthermore, in the description of this invention, terms such as "first," "second," etc., are used only to distinguish descriptions and should not be construed as indicating or implying relative importance.

[0032] Example 1

[0033] like Figure 1 As shown, this embodiment provides a slope safety calculation method, which includes steps S1, S2, S3, S4, S5 and S6.

[0034] Step S1: Obtain the mechanical parameters of each slider on the slope;

[0035] In this step, the mechanical parameters of the slider include cohesion. and internal friction angle ;

[0036] Step S2: The slider with anti-slip stakes immediately adjacent to its rear end is designated as the first type of slider, and the slider with anti-slip stakes immediately adjacent to its rear end is designated as the second type of slider.

[0037] In this step, the installation position information of the anti-slide piles is calculated according to the transfer coefficient method. Each anti-slide pile is installed according to the calculated installation position information, and a displacement acquisition device, such as a displacement sensor, is installed on the top of each anti-slide pile to collect the actual displacement of the pile top.

[0038] Step S3: Calculate the remaining landslide thrust of each second-type slider according to the mechanical parameters and the transfer coefficient method;

[0039] In this step, the remaining landslide thrust of each second-type slider can be calculated directly using the conventional transfer coefficient method.

[0040] Step S4: Calculate the assumed displacement of the top of each anti-slide pile according to the mechanical parameters, and calculate the second residual landslide thrust of each anti-slide pile on each first type of slider according to the assumed displacement of the top of the pile.

[0041] In this step, the assumed displacement of the pile top of each anti-slide pile is calculated based on the mechanical parameters. The specific implementation steps include steps S41, S42 and S43.

[0042] Step S41: Based on the mechanical parameters, assuming that there are no anti-slide piles at the front end of each first-type slider, calculate the third residual landslide thrust of each first-type slider using the transfer coefficient method; and obtain the theoretical load-bearing section height of each anti-slide pile.

[0043] In this step, it is assumed that there are no anti-slide piles in front of the first type of slider. First, the third remaining landslide thrust of each first type of slider is calculated by formula (1) and formula (2). It can be understood as assuming that there are no anti-slide piles in front of the first type of slider, and then the third remaining landslide thrust of each first type of slider is calculated by the transfer coefficient method.

[0044] (1)

[0045] (2)

[0046] In formulas (1) and (2), For the first The third residual landslide thrust of the block slider; For the first The weight of the block slider; For the first The tilt angle of the slider's surface; For the first The internal friction angle of the block slider; For the first The cohesive force of the block slider; For the first The length of the sliding surface of the block slider; For the first The remaining downward force of the slider above the block slider. For the first The sliding surface inclination angle of the slider above the block slider; the slider in this formula is the first type of slider mentioned above;

[0047] The theoretical load-bearing height of each anti-slide pile is denoted as... , Confirmation is based on human experience;

[0048] It should be noted that the first remaining landslide thrust, the second remaining landslide thrust, the third remaining landslide thrust, and the fourth remaining landslide thrust in this embodiment are merely methods of expression for the convenience of description, and they all actually represent the remaining landslide thrust.

[0049] Using the above method, it can be understood that each slider is calculated according to the transfer coefficient method to determine its corresponding remaining landslide thrust, regardless of whether it is reinforced by anti-slide piles.

[0050] Step S42: Calculate the top distributed load and bottom overrun distributed load of each anti-slide pile based on the theoretical load-bearing section height of each anti-slide pile and the third remaining landslide thrust of each first type of slider.

[0051] In this step, the pile top distributed load and pile bottom overrun distributed load of each anti-slide pile are calculated using formulas (3) and (4).

[0052] (3)

[0053] (4)

[0054] In formulas (3) and (4), q represents the distributed load at the top of the anti-slide pile. The load distributed at the top of the anti-slide pile. The distance between the point of application of the resultant force of the remaining landslide thrust of each anti-slide pile and the sliding surface;

[0055] Step S43: Calculate the differential equation of the deflection curve based on the theoretical load-bearing section height, pile top distributed load and pile bottom overload corresponding to each anti-slide pile, and obtain the assumed pile top displacement of each anti-slide pile.

[0056] In this step, the assumed displacement of the top of each anti-slide pile is calculated using formula (5);

[0057] (5)

[0058] In formula (5), The elastic modulus of the anti-slide pile. The moment of inertia of the anti-slide pile section, This is the proportionality coefficient of the subgrade coefficient as it increases with depth. This coefficient can be referenced in the Railway Subgrade Retaining Structure Design Code TB10025-2006 or the Building Pile Foundation Technical Code JGJ94-2008. The calculated width of the anti-slide pile. The width of the anti-slide pile, It is the unit width of the slope section. Let y be the assumed displacement of the top of the anti-slide pile, and y be the depth of the anti-slide pile.

[0059] After calculating the assumed displacement of the top of the anti-slide pile, the second residual landslide thrust of each anti-slide pile on each first type of slider is calculated based on the assumed displacement of the top of the pile. The specific implementation steps include steps S44 and S45.

[0060] Step S44: Calculate the actual load-bearing section height of each anti-slide pile based on the assumed displacement of the pile top; obtain the actual pile top distributed load and the actual pile bottom overload of each anti-slide pile; substitute the actual load-bearing section height, actual pile top distributed load and actual pile bottom overload of each anti-slide pile into the deflection curve differential equation to calculate the actual displacement of each anti-slide pile.

[0061] The specific implementation steps for calculating the actual load-bearing section height of each anti-slide pile based on the assumed displacement of the pile top of each anti-slide pile include step S441.

[0062] Step S441: Compare and analyze the assumed displacement of the pile top of each anti-slide pile with its corresponding actual displacement. If the assumed displacement of the pile top is greater than or equal to the actual displacement of the pile top, then take the theoretical load-bearing section height of each anti-slide pile as the actual load-bearing section height of each anti-slide pile. If the assumed displacement of the pile top is less than the actual displacement of the pile top, then calculate the actual pile top distributed load and the actual pile bottom overrun distributed load of each anti-slide pile, and calculate the actual load-bearing section height of each anti-slide pile based on the actual pile top distributed load.

[0063] The actual displacement of the pile top in this step can be obtained by the displacement acquisition device described in step S2.

[0064] This step can be understood as: calculating the assumed displacement of the pile top of the anti-slide pile. ,Will The actual displacement of the top of the anti-slide pile To make a comparison, if Then the displacement of the loaded section of the anti-slide pile is considered to be ,when Based on the literature ("Research on the Distribution Law of Landslide Thrust and Resistance of Landslide Body in Front of Pile for Anti-slide Piles" by Dai Zihang)... and The relationship between the actual pile top distributed load and the back calculation and the actual pile bottom overload distribution Then, the actual load-bearing section height of each anti-slide pile is calculated using formula (6). ;

[0065] (6)

[0066] In formula (6), It is the ratio of the vertical distance between the point of application of the resultant force of the landslide thrust and the sliding surface to the actual height of the loaded section;

[0067] After calculating the actual load-bearing section height of each anti-slide pile, the actual displacement of each anti-slide pile body is calculated using formula (7). ;

[0068] (7)

[0069] Step S45: Calculate the second residual landslide thrust of each anti-slide pile on each first-type slider based on the actual displacement of each anti-slide pile.

[0070] Based on the actual displacement of each anti-slide pile, the second residual landslide thrust of each anti-slide pile on each first-type slider is calculated using formula (8).

[0071] (8)

[0072] In formula (8), For each anti-slide pile, the second residual landslide thrust is applied to each first-type slider.

[0073] Step S5: Calculate the fourth remaining landslide thrust of each first-type slider based on the second remaining landslide thrust of each anti-slide pile on each first-type slider.

[0074] The specific implementation steps of this step include steps S51, S52 and S53;

[0075] Step S51: Record the second remaining landslide thrust of each anti-slide pile on each first type of slider as the first calculation result, compare the first calculation result with the preset Rankine passive earth pressure, and modify the first calculation result according to the comparison result. If the first calculation result is greater than the Rankine passive earth pressure, then the Rankine passive earth pressure is used as the first calculation result; otherwise, no modification is made.

[0076] This step can be understood as follows:

[0077] Will With Rankine passive earth pressure If a comparison is made, Then take ;

[0078] Rankine's formula for calculating passive earth pressure is:

[0079] (9)

[0080] In formula (9), for to The density of the soil layer.

[0081] Step S52: Obtain the actual load-bearing section height of each anti-slide pile, and calculate the foundation bearing capacity corresponding to each anti-slide pile based on the first calculation result and the actual load-bearing section height of each anti-slide pile.

[0082] In this step, after modifying the initial calculation result, it is also necessary to adjust the foundation bearing capacity. The verification process ensures that the first type of sliding block following the anti-slide pile can withstand the remaining landslide thrust of the previous sliding block together with the anti-slide pile, thus verifying the foundation bearing capacity. The calculation formula is:

[0083] (10)

[0084] Step S53: Obtain the passive earth pressure stress and active earth pressure stress corresponding to each anti-slide pile, and calculate the fourth remaining landslide thrust of each first type of slider based on the foundation bearing capacity, passive earth pressure stress and active earth pressure stress corresponding to each anti-slide pile.

[0085] The specific implementation steps of this step include steps S531, S532 and S533;

[0086] Step S531: Based on the foundation bearing capacity, passive earth pressure stress and active earth pressure stress corresponding to each anti-slide pile, determine whether each first type of slider can bear the remaining landslide thrust of the slider immediately adjacent to the front end of the anti-slide pile together with its corresponding anti-slide pile. If not, the preset value is used as the first calculation result; otherwise, the first calculation result is not modified, and the corrected first calculation result is obtained.

[0087] In this step, if It is assumed that each Type I slider can, together with its corresponding anti-slide pile, withstand the remaining landslide thrust of the slider immediately adjacent to the front end of each anti-slide pile, and therefore, local soil failure will not occur. Conversely, if the slider cannot withstand the same force, it will not. ;in, and These are passive earth pressure stress and active earth pressure stress, respectively.

[0088] Step S532: Based on the corrected first calculation results, calculate the remaining landslide thrust, the maximum bending moment, and the maximum shear force of each anti-slide pile.

[0089] In this step, for the first Block type 1 sliding body, first its corresponding Considered as the first Initial calculated value of the remaining landslide thrust borne by the anti-slide pile corresponding to each type I slider. ; and will the The remaining landslide thrust borne by the anti-slide pile corresponding to each type I slider is denoted as . , No. The soil resistance corresponding to each type I slider is denoted as . ;

[0090] Calculate the first according to formulas (11) and (12). Initial calculated values ​​of soil resistance corresponding to each type I slider ;

[0091] (11)

[0092] (12)

[0093] In formula (12), The representative will As in formulas (3) and (4) Calculate q and ∆q, and substitute q and ∆q into formulas (7) and (8) to obtain the results. ;

[0094] because:

[0095] Then the actual result obtained Therefore, the result is obtained again by using formula (13) and formula (14). The first calculated value of the remaining landslide thrust borne by the anti-slide pile corresponding to the first type of slider and the second... The first calculated value of soil resistance corresponding to each type 1 slider :

[0096] (13)

[0097] (14)

[0098] The result obtained at this time Repeated iterative calculations, when performed n times, yield the nth result. The nth calculation value of the remaining landslide thrust borne by the anti-slide pile corresponding to the first type of slider. and the The nth calculation value of the soil resistance corresponding to the first type of slider. If the calculated If the condition in formula (15) is met, the calculation stops, and then... View as , for ;

[0099] (15)

[0100] In formula (15), This is the preset calculation precision, which can be set to 1% or less;

[0101] Step S533: Determine whether local anti-slide pile failure will occur based on the maximum bending moment and maximum shear force of each anti-slide pile. If the determination result indicates that local anti-slide pile failure will occur, set the pile top distributed load and pile bottom excess distributed load corresponding to each anti-slide pile to preset values, and record the first type of slider corresponding to this anti-slide pile as the second type of slider; otherwise, calculate the fourth residual landslide thrust of each first type of slider based on each corrected first calculation result.

[0102] In this step, the maximum bending moment and maximum shear force are calculated and compared with the maximum bearing capacity of the anti-slide pile. If the maximum bending moment or maximum shear force is less than the maximum bearing capacity of the anti-slide pile, it is assumed that local anti-slide pile failure will not occur; otherwise, let... And the first type of slider corresponding to this anti-slide pile is recorded as the second type of slider;

[0103] The calculation method for the fourth remaining landslide thrust of each type 1 slider is as follows:

[0104] The remaining landslide thrust of the slider reinforced by the first anti-slide pile (This can be understood as anti-slide piles) Reinforced Type 1 slider The remaining landslide thrust is calculated as follows:

[0105] (16)

[0106] In formula (16), The first anti-slide pile (i.e., anti-slide pile) The total landslide thrust of the reinforced slider, The sliding resistance of the slider reinforced by the first anti-slide pile. The soil resistance corresponding to the slider reinforced by the first anti-slide pile; For safety reasons, The transfer coefficient of the slider preceding the first anti-slide pile reinforcement. The remaining sliding force of the slider above the first anti-slide pile reinforced by the first anti-slide pile. The remaining landslide thrust of the soil, which is the difference between the actual and theoretical load-bearing heights of the first anti-slide pile, can be calculated using the following formula:

[0107] (17)

[0108] (18)

[0109] (19)

[0110] In formulas (17)-(19), This is the design safety factor for the slope. This factor can be referenced in the Railway Subgrade Retaining Structure Design Code TB10025-2006 or the Building Pile Foundation Technical Code JGJ94-2008. Anti-slide piles Actual load-bearing section height and anti-slide pile The total landslide thrust of soil with a theoretical height difference in the loaded section. Anti-slide piles Actual load-bearing section height and anti-slide pile Theoretically, the resistance of soil to sliding when the loading section has a height difference is... Let be the anti-slip force of the i-th slider. Anti-slide piles Actual load-bearing section height and anti-slide pile The theoretical load-bearing section height difference of the soil mass is related to the gravity of the soil, if the anti-slide pile... Reinforced Type 1 slider If the lower slider has no anti-slip stake, then The size is:

[0111] (20)

[0112] If so, then The size is:

[0113] (twenty one)

[0114] Formula (20)-Formula (21), and These are the actual load-bearing section height and the theoretical load-bearing section height of the next anti-slide pile, respectively.

[0115] Step S6: Calculate the safety factor of the slope based on the first remaining landslide thrust of each second-type slider and the fourth remaining landslide thrust of each first-type slider.

[0116] Substitute the relevant parameters obtained from the above calculations into formulas (22)-(27), and then substitute in the initial safety factor. And iterate, when If the value approaches 0, then the final safety factor of the slope can be obtained. ;

[0117] (twenty two)

[0118] (twenty three)

[0119] (twenty four)

[0120] (25)

[0121]

[0122] (26)

[0123]

[0124] (27)

[0125] Formula (22)-Formula (27):

[0126] The remaining landslide thrust of the first slider. The total landslide thrust of the first slider. The anti-slip force of the first slider The slope safety factor;

[0127] This represents the remaining landslide thrust of the second slider. This represents the total landslide thrust of the second slider. The anti-slip force of the second slider. The transfer coefficient for the first slider;

[0128] Meanwhile, the total landslide thrust of each slider in this section is calculated according to this formula: ,in, For the first The total landslide thrust of the block slider;

[0129] The remaining landslide thrust of the slider reinforced by the first anti-slide pile. The total landslide thrust of the slider reinforced by the first anti-slide pile. The anti-slide force of the slider reinforced by the first anti-slide pile can be directly taken as... ( From formula (15), we can obtain... The soil resistance of the sliding block reinforced by the first anti-slide pile. The sliding block reinforced by the first anti-slide pile experiences residual landslide thrust due to the difference between the actual load-bearing section height and the theoretical load-bearing section height. The transfer coefficient of the slider preceding the first anti-slide pile reinforcement. The remaining sliding force of the slider above the slider that is reinforced by the first anti-slide pile;

[0130] The remaining landslide thrust of the slider following the first anti-slide pile. The total landslide thrust of the next sliding block reinforced by the first anti-slide pile. The anti-slip force of the next slider after the first anti-slip pile is reinforced;

[0131] The remaining landslide thrust of the slider reinforced by the p-th anti-slide pile. Let be the total landslide thrust of the slider reinforced by the p-th anti-slide pile. Let the sliding block reinforced by the p-th anti-slide pile be the force resisting sliding. The soil resistance of the sliding block reinforced by the p-th anti-slide pile. The remaining landslide thrust of the soil is due to the difference between the actual load-bearing section height and the theoretical load-bearing section height of the slider used to reinforce the p-th anti-slide pile. Let be the transfer coefficient of the slider preceding the slider of the p-th anti-slide pile reinforcement. The remaining landslide thrust of the slider above the slider reinforced by the p-th anti-slide pile;

[0132] This represents the remaining landslide thrust of the slider at the bottom of the slope (which is also the last slider). The total landslide thrust of the slider at the bottom of the slope. The force that resists the slide of the slider at the bottom of the slope. The transfer coefficient for the second-to-last slider. This represents the remaining landslide thrust of the second-to-last slider.

[0133] In other words, according to the above formula, the remaining landslide thrust of the reinforced and unreinforced sliders can be calculated separately; then, the initial safety factor can be substituted into the formula. And iterate, when If the value approaches 0, then the final safety factor of the slope can be obtained. ;

[0134] After calculating the slope safety factor, when the slope safety factor is... When the value is ≥2, the slope protection with anti-slide piles is considered reasonable and no special engineering measures are required.

[0135] When the slope safety factor 2 > When the value is ≥1.5, and there is no local damage to the soil or the anti-slide piles, the slope supported by the anti-slide piles is considered reasonable and no special engineering measures are required.

[0136] When the slope safety factor 2 > When the value is ≥1.5, and the soil around the anti-slide piles is partially damaged, but there is no partial damage to the anti-slide piles, the slope protection with anti-slide piles is considered to be reasonable, and the soil deformation after the anti-slide piles are monitored regularly.

[0137] When the slope safety factor 2 > When the value is ≥1.5 and the soil behind the anti-slide pile is partially damaged, it is considered that the slope supported by the anti-slide pile is unreasonable. The deformation of the anti-slide pile and the soil behind the anti-slide pile should be monitored regularly.

[0138] When the slope safety factor is 1.5 > When the slope protection ratio is ≥1.3, and there is no local damage to the soil or the anti-slide piles, the slope protection supported by the anti-slide piles is considered reasonable and no special engineering measures are required.

[0139] When the slope safety factor is 1.5 > When the value is ≥1.3, and local soil failure or local failure of the anti-slide pile occurs, the slope protection of the anti-slide pile is considered unreasonable, and the deformation of the anti-slide pile and the soil behind the anti-slide pile should be monitored regularly.

[0140] When the slope safety factor is 1.3 > At that time, it was deemed that the slope protection by anti-slide piles was unreasonable, so surrounding vehicles were prohibited from traveling, people in the affected area were evacuated, and anti-slide piles were reinforced or reinstalled.

[0141] Based on the above scheme, it can be concluded that this embodiment uses a combination of on-site monitoring and calculation theory to obtain a method for verifying the rationality of multi-row anti-slide pile-supported slopes, thus providing a reference for railway slope support and management.

[0142] Example 2

[0143] like Figure 2 As shown in the figure, this embodiment provides a slope safety calculation device, which includes an acquisition module 701, a training module 702, a first calculation module 703, a second calculation module 704 and a third calculation module 705.

[0144] The acquisition module 701 is used to acquire the mechanical parameters of each slider on the slope;

[0145] The marking module 702 is used to mark sliders with anti-slip stakes immediately adjacent to their rear ends as first-type sliders, and otherwise as second-type sliders.

[0146] The first calculation module 703 is used to calculate the first remaining landslide thrust of each second type of slider according to the mechanical parameters and the transfer coefficient method.

[0147] The second calculation module 704 is used to calculate the assumed displacement of the top of each anti-slide pile according to the mechanical parameters, and to calculate the second residual landslide thrust of each anti-slide pile on each first type of slider according to the assumed displacement of the top of the pile.

[0148] The third calculation module 705 is used to calculate the fourth remaining landslide thrust of each first-type slider based on the second remaining landslide thrust of each anti-slide pile on each first-type slider.

[0149] The monitoring module 706 is used to calculate the safety factor of the slope based on the first remaining landslide thrust of each second-type slider and the fourth remaining landslide thrust of each first-type slider.

[0150] In one specific embodiment of this disclosure, the second calculation module 704 further includes a first calculation unit 7041, a second calculation unit 7042, and a third calculation unit 7043.

[0151] The first calculation unit 7041 is used to calculate the third residual landslide thrust of each first-type slider according to the mechanical parameters, assuming that there is no anti-slide pile at the front end of each first-type slider, using the transfer coefficient method; and to obtain the theoretical load-bearing section height of each anti-slide pile.

[0152] The second calculation unit 7042 is used to calculate the pile top distributed load and pile bottom overrun distributed load of each anti-slide pile based on the theoretical load-bearing section height of each anti-slide pile and the third residual landslide thrust of each first type of slider.

[0153] The third calculation unit 7043 is used to calculate the differential equation of the deflection curve based on the theoretical load-bearing section height, pile top distributed load and pile bottom overload corresponding to each anti-slide pile, and to obtain the assumed pile top displacement of each anti-slide pile.

[0154] In one specific embodiment of this disclosure, the second calculation module 704 further includes a fourth calculation unit 7044 and a fifth calculation unit 7045.

[0155] The fourth calculation unit 7044 is used to calculate the actual load-bearing section height of each anti-slide pile based on the assumed displacement of the pile top of each anti-slide pile; and to obtain the actual pile top distributed load and the actual pile bottom overload of each anti-slide pile; and to substitute the actual load-bearing section height, the actual pile top distributed load and the actual pile bottom overload of each anti-slide pile into the deflection curve differential equation to calculate the actual displacement of the pile body of each anti-slide pile.

[0156] The fifth calculation unit 7045 is used to calculate the second residual landslide thrust of each anti-slide pile on each first type of slider based on the actual displacement of the pile body of each anti-slide pile.

[0157] In one specific embodiment of this disclosure, the fourth calculation unit 7044 further includes a comparison subunit 70441.

[0158] Comparison subunit 70441 is used to compare and analyze the assumed displacement of the pile top of each anti-slide pile with its corresponding actual displacement. If the assumed displacement of the pile top is greater than or equal to the actual displacement of the pile top, the theoretical load-bearing section height of each anti-slide pile is taken as the actual load-bearing section height of each anti-slide pile. If the assumed displacement of the pile top is less than the actual displacement of the pile top, the actual pile top distributed load and the actual pile bottom overrun distributed load of each anti-slide pile are calculated, and the actual load-bearing section height of each anti-slide pile is calculated based on the actual pile top distributed load.

[0159] In one specific embodiment of this disclosure, the third calculation module 705 further includes a comparison unit 7051, a first acquisition unit 7052, and a second acquisition unit 7053.

[0160] The comparison unit 7051 is used to record the second remaining landslide thrust of each anti-slide pile on each first type of slider as the first calculation result, compare the first calculation result with the preset Rankine passive earth pressure, and modify the first calculation result according to the comparison result. If the first calculation result is greater than the Rankine passive earth pressure, the Rankine passive earth pressure is used as the first calculation result; otherwise, no modification is made.

[0161] The first acquisition unit 7052 is used to acquire the actual load-bearing section height of each anti-slide pile, and calculate the foundation bearing capacity corresponding to each anti-slide pile based on the first calculation result and the actual load-bearing section height of each anti-slide pile.

[0162] The second acquisition unit 7053 is used to acquire the passive earth pressure stress and active earth pressure stress corresponding to each anti-slide pile, and to calculate the fourth residual landslide thrust of each first type of slider based on the foundation bearing capacity, passive earth pressure stress and active earth pressure stress corresponding to each anti-slide pile.

[0163] In one specific embodiment of this disclosure, the second acquisition unit 7053 further includes a judgment subunit 70531, a first calculation subunit 70532, and a second calculation subunit 70533.

[0164] The judgment subunit 70531 is used to determine whether each first type of slider can bear the remaining landslide thrust of the slider immediately adjacent to the front end of the anti-slide pile together with the corresponding anti-slide pile, based on the foundation bearing capacity, passive earth pressure stress and active earth pressure stress of each anti-slide pile. If not, the preset value is used as the first calculation result; otherwise, the first calculation result is not modified and the corrected first calculation result is obtained.

[0165] The first calculation subunit 70532 is used to calculate the remaining landslide thrust, the maximum bending moment and the maximum shear force of each anti-slide pile based on the corrected first calculation results.

[0166] The second calculation subunit 70533 is used to determine whether local anti-slide pile failure will occur based on the maximum bending moment and maximum shear force of each anti-slide pile. If the determination result is that local anti-slide pile failure will occur, the pile top distributed load and pile bottom excess distributed load corresponding to each anti-slide pile are set to preset values, and the first type slider corresponding to this anti-slide pile is recorded as the second type slider; otherwise, the fourth residual landslide thrust of each first type slider is calculated based on each corrected first calculation result.

[0167] It should be noted that the specific manner in which each module performs its operation in the apparatus described in the above embodiments has been described in detail in the embodiments of the method, and will not be elaborated here.

[0168] Example 3

[0169] Corresponding to the above method embodiments, this disclosure also provides a slope safety calculation device. The slope safety calculation device described below can be referred to in correspondence with the slope safety calculation method described above.

[0170] Figure 3 This is a block diagram illustrating a slope safety calculation device 800 according to an exemplary embodiment. Figure 3 As shown, the slope safety calculation device 800 may include: a processor 801 and a memory 802. The slope safety calculation device 800 may also include one or more of the following: a multimedia component 803, an I / O interface 804, and a communication component 805.

[0171] The processor 801 controls the overall operation of the slope safety calculation device 800 to complete all or part of the steps in the slope safety calculation method described above. The memory 802 stores various types of data to support the operation of the slope safety calculation device 800. This data may include, for example, instructions for any application or method used to operate on the slope safety calculation device 800, as well as 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 storage, flash memory, magnetic disk, or optical disk. The multimedia component 803 may include a screen and an audio component. The screen may be, for example, a touchscreen, 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 signals may be further stored in the memory 802 or transmitted via the communication component 805. The audio component also includes at least one speaker for outputting audio signals. I / O interface 804 provides an interface between processor 801 and other interface modules, such as a keyboard, mouse, and buttons. These buttons can be virtual or physical. Communication component 805 is used for wired or wireless communication between the slope safety calculation device 800 and other devices. Wireless communication includes Wi-Fi, Bluetooth, Near Field Communication (NFC), 2G, 3G, or 4G, or a combination thereof. Therefore, the corresponding communication component 805 may include a Wi-Fi module, a Bluetooth module, or an NFC module.

[0172] In an exemplary embodiment, the slope safety calculation device 800 may be implemented by one or more application-specific integrated circuits (ASICs), digital signal processors (DSPs), digital signal processing devices (DSPDs), programmable logic devices (PLDs), field programmable gate arrays (FPGAs), controllers, microcontrollers, microprocessors, or other electronic components to perform the slope safety calculation method described above.

[0173] In another exemplary embodiment, a computer-readable storage medium including program instructions is also provided, which, when executed by a processor, implement the steps of the slope safety calculation method described above. For example, the computer-readable storage medium may be the memory 802 including program instructions, which may be executed by the processor 801 of the slope safety calculation device 800 to complete the slope safety calculation method described above.

[0174] Example 4

[0175] Corresponding to the above method embodiments, this disclosure also provides a readable storage medium. The readable storage medium described below can be referred to in conjunction with the slope safety calculation method described above.

[0176] A readable storage medium storing a computer program, which, when executed by a processor, implements the steps of the slope safety calculation method described in the above method embodiments.

[0177] Specifically, the readable storage medium can be a USB flash drive, a portable hard drive, a read-only memory (ROM), a random access memory (RAM), a magnetic disk, or an optical disk, or any other readable storage medium capable of storing program code.

[0178] The above description is merely a preferred embodiment of the present invention and is not intended to limit the invention. Various modifications and variations can be made to the present invention by those skilled in the art. Any modifications, equivalent substitutions, improvements, etc., made within the spirit and principles of the present invention should be included within the scope of protection of the present invention.

Claims

1. A method for calculating the safety of a slope, characterized in that, The method comprises the following steps: obtaining the mechanical parameters of each sliding block on the slope; marking the sliding block with the anti-slide pile at the rear end as a first type sliding block, and marking the sliding block without the anti-slide pile at the rear end as a second type sliding block; calculating the first residual landslide thrust of each second type sliding block according to the mechanical parameters and the transfer coefficient method; calculating the assumed displacement of the top of each anti-slide pile according to the mechanical parameters, and calculating the second residual landslide thrust of each first type sliding block by each anti-slide pile according to the assumed displacement of the top of each anti-slide pile, comprising: assuming that there is no anti-slide pile at the front end of each first type sliding block according to the mechanical parameters, and calculating the third residual landslide thrust of each first type sliding block by the transfer coefficient method; obtaining the theoretical load segment height of each anti-slide pile; calculating the top distribution load and the bottom exceeding distribution load of each anti-slide pile according to the theoretical load segment height of each anti-slide pile and the third residual landslide thrust of each first type sliding block, and the calculation formulas of the top distribution load and the bottom exceeding distribution load are respectively: ； ； wherein q is the pile top distributed load of the anti-slide pile, is the pile bottom exceeding distributed load of the anti-slide pile, is the distance from the resultant point of action of the residual landslide thrust of each anti-slide pile to the sliding surface, is the first residual landslide thrust of the block, is the third residual landslide thrust of the block, is the theoretical height of the load-bearing section of each anti-slide pile; calculating the flexural curve differential equation based on the corresponding theoretical load segment height, the top distribution load and the bottom exceeding distribution load of each anti-slide pile to obtain the assumed displacement of the top of each anti-slide pile, and the calculation formula of the assumed displacement of the top of each anti-slide pile is: ； wherein, E is the elastic modulus of the anti-slide pile, I is the cross-sectional moment of inertia of the anti-slide pile, is a proportional coefficient of the ground coefficient increasing with depth, is the calculated width of the anti-slide pile, is the width of the anti-slide pile, is the unit width of the slope section, is the assumed displacement of the top of the anti-slide pile, y is the depth of the anti-slide pile; calculating the actual load segment height of each anti-slide pile according to the assumed displacement of the top of each anti-slide pile, and the calculation formula of the actual load segment height is: ； wherein, is the actual height of the anti-slide pile under load, is the ratio of the vertical distance between the action point of the resultant force of the landslide thrust and the sliding surface to the actual height of the anti-slide pile under load, is the actual pile top distributed load; obtaining the actual top distribution load and the actual bottom exceeding distribution load of each anti-slide pile; substituting the actual load segment height, the actual top distribution load and the actual bottom exceeding distribution load of each anti-slide pile into the flexural curve differential equation to obtain the actual displacement of the pile body of each anti-slide pile, and the calculation formula of the actual displacement of the pile body of each anti-slide pile is: ； wherein, is the displacement of the loaded segment of the anti-slide pile, is the actual loaded segment height of each anti-slide pile, is the actual pile bottom exceeding distributed load; calculating the second residual landslide thrust of each first type sliding block by each anti-slide pile according to the actual displacement of the pile body of each anti-slide pile, and the calculation formula of the second residual landslide thrust is: ； calculating the fourth residual landslide thrust of each first type sliding block according to the second residual landslide thrust of each first type sliding block by each anti-slide pile; calculating the safety factor of the slope according to the first residual landslide thrust of each second type sliding block and the fourth residual landslide thrust of each first type sliding block.

2. The method of claim 1, wherein, calculating the actual load segment height of each anti-slide pile according to the assumed displacement of the top of each anti-slide pile, comprising: comparing and analyzing the assumed displacement of the top of each anti-slide pile with the corresponding actual displacement of the top of each anti-slide pile, if the assumed displacement of the top of each anti-slide pile is greater than or equal to the actual displacement of the top of each anti-slide pile, the theoretical load segment height of each anti-slide pile is taken as the actual load segment height of each anti-slide pile; if the assumed displacement of the top of each anti-slide pile is less than the actual displacement of the top of each anti-slide pile, the actual top distribution load and the actual bottom exceeding distribution load of each anti-slide pile are calculated, and the actual load segment height of each anti-slide pile is calculated according to the actual top distribution load.

3. A device for calculating the safety of a slope, characterized by The method comprises the following steps: an obtaining module, configured to obtain the mechanical parameters of each sliding block on the slope; a marking module, configured to mark the sliding block with the anti-slide pile at the rear end as a first type sliding block, and mark the sliding block without the anti-slide pile at the rear end as a second type sliding block; The first calculation module is configured to calculate, according to the mechanical parameters, a first residual landslide thrust of each second-type sliding block by using a transfer coefficient method; The second calculation module is configured to calculate, according to the mechanical parameters, a top-displacement assumption of each anti-slide pile, and to calculate, according to the top-displacement assumption, a second residual landslide thrust of each anti-slide pile on each first-type sliding block; The second calculation module includes: The first calculation unit is configured to calculate, according to the mechanical parameters, a third residual landslide thrust of each first-type sliding block by assuming that the front end of each first-type sliding block is free of anti-slide piles, and to obtain a theoretical load-bearing segment height of each anti-slide pile; The second calculation unit is configured to calculate, according to the theoretical load-bearing segment height of each anti-slide pile and the third residual landslide thrust of each first-type sliding block, a top-distributed load and a bottom-exceeding distributed load of each anti-slide pile, and the calculation formulas of the top-distributed load and the bottom-exceeding distributed load are respectively: ； ； wherein q is the pile top distributed load of the anti-slide pile, is the pile bottom exceeding distributed load of the anti-slide pile, is the distance from the resultant point of the residual landslide thrust of each anti-slide pile to the sliding surface, is the third residual landslide thrust of the block sliding block, is the first residual landslide thrust of the block sliding block, is the theoretical load-bearing segment height of each anti-slide pile; The third calculation unit is configured to calculate, based on the theoretical load-bearing segment height, the top-distributed load and the bottom-exceeding distributed load of each anti-slide pile, a deflection curve differential equation to obtain a top-displacement assumption of each anti-slide pile, and the calculation formula of the top-displacement assumption is: ； wherein, E is the elastic modulus of the anti-slide pile, I is the cross-sectional moment of inertia of the anti-slide pile, K is a proportional coefficient of the ground coefficient increasing with depth, B is the calculated width of the anti-slide pile, B is the width of the anti-slide pile, is the unit width of the slope section, is the assumed displacement of the top of the anti-slide pile, y is the depth of the anti-slide pile; The fourth calculation unit is configured to calculate, according to the top-displacement assumption of each anti-slide pile, an actual load-bearing segment height of each anti-slide pile, and the calculation formula of the actual load-bearing segment height is: ； wherein, is the actual height of the anti-slide pile under load, is the ratio of the vertical distance between the action point of the resultant force of the landslide thrust and the sliding surface to the actual height of the anti-slide pile under load, is the actual pile top distributed load; The actual top-distributed load and the actual bottom-exceeding distributed load of each anti-slide pile are obtained; The actual load-bearing segment height, the actual top-distributed load and the actual bottom-exceeding distributed load of each anti-slide pile are substituted into the deflection curve differential equation to obtain an actual displacement of a pile body of each anti-slide pile, and the calculation formula of the actual displacement of the pile body is: ； wherein, is the displacement of the loaded segment of the anti-slide pile, is the actual loaded segment height of each anti-slide pile, is the actual pile bottom exceeding distributed load; The fifth calculation unit is configured to calculate, according to the actual displacement of the pile body of each anti-slide pile, the second residual landslide thrust of each anti-slide pile on each first-type sliding block, and the calculation formula of the second residual landslide thrust is: ； The third calculation module is configured to calculate, according to the second residual landslide thrust of each anti-slide pile on each first-type sliding block, a fourth residual landslide thrust of each first-type sliding block; The monitoring module is configured to calculate, according to the first residual landslide thrust of each second-type sliding block and the fourth residual landslide thrust of each first-type sliding block, a safety factor of the slope.

4. The device for calculating the safety of a slope according to claim 3, wherein The fourth calculation unit includes: The comparison sub-unit is configured to compare and analyze the top-displacement assumption of each anti-slide pile with a corresponding actual top-displacement of the anti-slide pile, and if the top-displacement assumption is greater than or equal to the actual top-displacement, the theoretical load-bearing segment height of each anti-slide pile is taken as the actual load-bearing segment height of the anti-slide pile. If the top-displacement assumption is less than the actual top-displacement, the actual top-distributed load and the actual bottom-exceeding distributed load of each anti-slide pile are calculated, and the actual load-bearing segment height of each anti-slide pile is calculated according to the actual top-distributed load.

5. A device for calculating the safety of a slope, characterized in that The computer program includes: The memory is configured to store the computer program; The processor is configured to execute the computer program to implement the steps of the slope safety calculation method according to any one of claims 1 to 2.

6. A readable storage medium, characterized in that: The readable storage medium has a computer program stored thereon, and the computer program is executed by the processor to implement the steps of the slope safety calculation method according to any one of claims 1 to 2.

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