A slope stability calculation method and device under soil nail anchor support system

Abstract

The present invention provides a slope stability calculation method and device under a soil nail anchor support system, which relates to the technical field of slope stability calculation, including obtaining relevant information of a target slope; dividing the slope soil block between the potential sliding surface of the slope and the slope surface into multiple slope strips; determining the target anchoring force of each slope strip; calculating the sliding force of each slope strip; calculating the anti-sliding force of each slope strip; constructing multiple external force calculation formulas; and obtaining a stability coefficient. The present invention divides the target slope as a whole into multiple slope strips, performs a detailed analysis of the anchoring force of each strip, and constructs calculation formulas for the anti-sliding force, sliding force, and external force of each slope strip; jointly solves the calculation formulas of each slope strip to obtain the stability coefficient of the target slope, thereby more accurately determining the overall stability of the slope and providing data support for the safety management, construction plan optimization, and subsequent dynamic monitoring of the target slope.

Description

Technical Field

[0001] The present invention relates to the technical field of slope stability calculation, and in particular to a method and device for calculating slope stability under a soil nail anchor support system. Background Art

[0002] Landslides are one of my country's three major natural disasters, causing immeasurable economic losses annually in Southwest my country. To ensure the safety of life and property and the construction of local projects, support measures are required to improve the stability of slopes prone to sliding. Common support measures include anti-slide piles, retaining walls, frame beams, anchor cables (rods), soil nailing walls, and composite support systems combining multiple support measures. The soil nailing and anchor cable support system is widely used by engineering professionals due to its adaptability, ease of construction, and structural stability. Summary of the Invention

[0003] The purpose of the present invention is to provide a slope stability calculation method and device under a soil nail anchor support system to improve the above-mentioned problem. 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 slope stability calculation method under a soil nail anchor support system, comprising:

[0005] Obtaining relevant information of the target slope, including slope geometry information and slope soil quality information;

[0006] Performing a sliding surface search on the relevant information based on a preset calculation software to determine a potential sliding surface of the target slope;

[0007] Dividing the slope soil block between the potential sliding surface and the slope surface into a plurality of slope strips, and determining the anchor cable inclination angle and the sliding surface inclination angle at a corresponding position of each slope strip based on the slope soil quality information;

[0008] Determining the target anchoring force of each slope strip based on the anchoring force of the anchor cable in the slope geometry information;

[0009] Based on the preset deadweight of all slope strips and the sliding surface inclination, the sliding force of each slope strip is calculated;

[0010] Calculating the anti-sliding force of each slope strip based on the preset deadweight of all slope strips, the anchor cable inclination angle, the sliding surface inclination angle, the target anchoring force and the relevant information;

[0011] Based on the sliding force, the anti-sliding force, the sliding surface inclination and the stability coefficient of all slope strips, a plurality of external force calculation formulas are constructed, wherein the stability coefficient of all slope strips is the same;

[0012] All external force calculation formulas are solved jointly to obtain the stability coefficient of the target slope.

[0013] In a second aspect, the present application also provides a slope stability calculation device under a soil nail anchor support system, comprising:

[0014] An acquisition unit, configured to acquire relevant information of a target slope, wherein the relevant information includes slope geometry information and slope soil quality information;

[0015] A simulation unit, configured to search for a sliding surface on the relevant information based on a preset calculation software, and determine a potential sliding surface of the target slope;

[0016] A first dividing unit is configured to divide the slope soil block between the potential sliding surface and the slope surface into a plurality of slope strips, and determine the anchor cable inclination angle and the sliding surface inclination angle at a corresponding position of each slope strip based on the slope soil quality information;

[0017] A first determining unit is configured to determine a target anchoring force of each slope strip based on the anchoring force of the anchor cable in the slope geometry information;

[0018] A first calculation unit is configured to calculate the sliding force of each slope strip based on the preset deadweight of all slope strips and the sliding surface inclination;

[0019] a second calculation unit, configured to calculate the anti-sliding force of each slope strip based on the preset deadweight of all slope strips, the anchor cable inclination angle, the sliding surface inclination angle, the target anchoring force and the relevant information;

[0020] A first constructing unit is configured to construct a plurality of external force calculation formulas based on the sliding force, the anti-sliding force, the sliding surface inclination and the stability coefficient of all the slope strips, wherein the stability coefficient of all the slope strips is the same;

[0021] The solving unit is used to jointly solve all external force calculation formulas to obtain the stability coefficient of the target slope.

[0022] The beneficial effects of the present invention are:

[0023] The present invention divides the target slope into multiple slope strips, conducts a detailed analysis of the anchoring force of each strip, and constructs calculation formulas for the anti-slip force, sliding force, and external force of each slope strip. The calculation formulas of each slope strip are solved jointly to obtain the stability coefficient of the target slope, thereby more accurately determining the overall stability of the slope and providing data support for the safety management of the target slope, optimization of the construction plan, and subsequent dynamic monitoring.

[0024] Other features and advantages of the present invention will be set forth in the following description, and in part will be apparent from the description, or may be learned by practicing embodiments of the present invention. BRIEF DESCRIPTION OF THE DRAWINGS

[0025] In order to more clearly illustrate the technical solutions of the embodiments of the present invention, the following briefly introduces the drawings required for use in the embodiments. It should be understood that the following drawings only illustrate certain embodiments of the present invention and therefore should not be regarded as limiting the scope. For ordinary technicians in this field, other relevant drawings can be obtained based on these drawings without paying any creative work.

[0026] Figure 1 Schematic diagram of the process of calculating slope stability under the soil nail anchor support system according to an embodiment of the present invention;

[0027] Figure 2 A hypothetical schematic diagram of a potential sliding surface of a slope generated by the calculation software described in an embodiment of the present invention;

[0028] Figure 3 A schematic diagram of the potential sliding surface position of a slope generated by the calculation software described in an embodiment of the present invention;

[0029] Figure 4 Schematic diagram of the division of slope strips in an embodiment of the present invention;

[0030] Figure 5 Schematic diagram of the interaction between multiple slope strips according to an embodiment of the present invention;

[0031] Figure 6 Schematic diagram of the force on the slope strips described in an embodiment of the present invention;

[0032] Figure 7 Schematic diagram of the structure of the slope stability calculation device under the soil nail anchor support system described in an embodiment of the present invention.

[0033] Markings in the figure:

[0034] 10. Acquisition unit; 20. Simulation unit; 30. First division unit; 40. First determination unit; 50. First calculation unit; 60. Second calculation unit; 70. First construction unit; 80. Solution unit. DETAILED DESCRIPTION

[0035] 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, not all of the embodiments. The components of the embodiments of the present invention generally described and shown in the drawings herein 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 of 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.

[0036] It should be noted that similar reference numerals and letters represent similar items in the following drawings. Therefore, once an item is defined in one drawing, it does not need to be further defined or explained in subsequent drawings. At the same time, in the description of the present invention, the terms "first", "second", etc. are used only to distinguish the description and should not be understood as indicating or implying relative importance.

[0037] Example 1:

[0038] This embodiment provides a slope stability calculation method under a soil nail anchor support system.

[0039] See also Figure 1 , the figure shows that the method includes step S10, step S20, step S30, step S40, step S50, step S60, step S70 and step S80.

[0040] Step S10. Obtain relevant information of the target slope, including slope geometry information and slope soil quality information;

[0041] Specifically, the slope geometry information includes the height, gradient, and length of the target slope, as well as information related to the soil nail anchors installed inside the target slope; the slope soil quality information includes soil layer distribution and soil type.

[0042] Step S20: searching for a sliding surface based on the relevant information using a preset calculation software to determine a potential sliding surface of the target slope;

[0043] Specifically, considering that the soil nail and anchor support system refers to placing soil nails and anchor cables of a certain length and distribution density inside the soil, so as to work together with the soil to strengthen the strength of the soil, so that the soil that generates lateral pressure becomes part of the support structure, thereby improving the overall stiffness of the soil.

[0044] In this application, the schematic diagram of the potential sliding surface of the slope is generated after the relevant information is input into the calculation software. It is assumed that the potential sliding surface of the slope passes through the end of the soil nail under the support of soil nails and anchor cables, that is, Figure 2 As shown in the figure, the solid line part is the determined section of the potential sliding surface of the slope, and the dotted line part is the undetermined section of the potential sliding surface of the slope. To determine the potential sliding surface, it is necessary to search for the sliding surface in the calculation software, that is, to search for the undetermined section of the potential sliding surface of the slope at a certain angle, and select the sliding surface with the smallest stability coefficient in the search results as the potential sliding surface of the target slope, as shown in the attached figure. Figure 3 As shown, all potential sliding surfaces of the slopes are obtained. The calculation software used in this application is Slide 6.0. Other software can also be used to implement this function, and there is no special limitation here.

[0045] Step S30: Divide the slope soil block between the potential sliding surface and the slope surface into multiple slope strips, and determine the anchor cable inclination angle and sliding surface inclination angle at the corresponding position of each slope strip based on the slope soil quality information;

[0046] Specifically, as attached Figure 4 As shown in the figure, multiple vertical lines are set along the height of the target slope to divide the slope soil mass between the potential sliding surface and the slope surface into multiple slope strips. Each slope strip has a length and width value. At the same time, the sliding surface inclination and anchor cable inclination of each slope strip can be determined based on the slope soil quality information.

[0047] Step S40: Based on the anchoring force of the anchor cable in the slope geometry information, determine the target anchoring force of each slope strip;

[0048] Specifically, in actual application, soil nails and anchor cables are often arranged in the form of "one soil nail and one anchor cable" or "multiple soil nails and one anchor cable". In this application, the part where the anchor cable exists on the potential sliding surface of the slope is considered to be the anchoring section. At the same time, it is considered that the anchoring force of the anchor cable only acts on a certain range around the anchor cable, specifically on the area with a size of S. H ×S V Within the range of anchor cable unit, S H is the lateral spacing between adjacent anchor cables, S V It is the longitudinal spacing between adjacent anchor cables along the slope surface.

[0049] Specifically, step S40 includes step S41, step S42, step S43 and step S44:

[0050] Step S41. Determine the horizontal spacing and vertical spacing of the anchor cables based on the relevant information;

[0051] Step S42: Calculate the product of the horizontal spacing and the vertical spacing to obtain a range value;

[0052] Step S43. Calculate the ratio of the anchoring force to the range value to obtain the uniform force;

[0053] Step S44: Calculate the product of the length and width of each slope strip and the uniformly distributed force to obtain the target anchoring force;

[0054] Specifically, this application refers to the relevant assumptions and principles of the transfer coefficient method and simplifies the anchoring force of the anchor cable to act on S H ×S V The uniform force within the range is:

[0055]

[0056] Among them, N q is the uniform force; N ak is the anchoring force of the anchor cable; S H is the lateral spacing between adjacent anchor cables, S V It is the longitudinal spacing between adjacent anchor cables along the slope surface.

[0057] In order to better calculate the stability coefficient of each slope strip, the anchoring force uniformly distributed in each slope strip is converted into a concentrated force, that is, the target anchoring force of each slope strip is:

[0058] N aki =N q *l i *h i

[0059] Among them, N q is the uniform force; N aki is the target anchoring force of the i-th slope strip; l i is the length of the i-th slope strip; h i is the width of the i-th slope strip;

[0060] In this application, the width of the slope strip is taken as the unit width, and the value is 1, which is convenient for subsequent calculations.

[0061] Step S50: Based on the preset deadweight and sliding surface inclination of all slope strips, the sliding force of each slope strip is calculated;

[0062] Specifically, referring to the relevant assumptions and principles of the transfer coefficient method, if the target slope is regarded as a whole and it is assumed that there is only one slope strip, the stability coefficient calculation formula of the slope strip is:

[0063]

[0064] Among them, F s is the stability coefficient; S iis the anti-sliding force of the i-th slope strip; T i is the sliding force of the i-th slope strip; i=1.

[0065] Based on the above formula, we can know that when we need to ensure the stability coefficient of the slope strip is F s When the anti-sliding force S of the slope strip is i =F s T i Therefore, when it is necessary to ensure that the stability coefficient of the slope strip reaches F S When the original anti-sliding force S of the slope strip is i On the basis of i , the specific expression is:

[0066] E i =F s T i -S i

[0067] Among them, E i is the external force of the i-th slope strip; F s is the stability coefficient; S i is the anti-sliding force of the i-th slope strip; T i is the sliding force of the i-th slope strip; i=1.

[0068] External force E i As part of the anti-slip force of the slope strip, the anti-slip force of the slope strip can reach F s T i , so that the stability coefficient of the slope strip reaches F S .

[0069] In the above formula, the sliding force T of the slope strip is i Mainly due to the deadweight W of the slope strip itself i According to the static equilibrium condition, the calculation expression of the sliding force of the slope strip is:

[0070] T i =W i sinα i

[0071] Among them, T i is the sliding force of the i-th slope strip; W i is the deadweight of the i-th slope strip; α i is the sliding surface inclination angle of the i-th slope strip, i=1.

[0072] Step S60: Calculate the anti-sliding force of each slope strip based on the preset deadweight, anchor cable inclination, sliding surface inclination, target anchoring force and related information of all slope strips;

[0073] Specifically, the anti-slip force of the slope strip is mainly composed of three parts: the first is the component of the slope strip's own weight perpendicular to the sliding surface; the second is the friction resistance caused by the component of the anchoring force provided by the anchor cable perpendicular to the sliding surface; the third is the component of the anchoring force provided by the anchor cable parallel to the sliding surface; the above three parts of the anti-slip force work together to increase the stability of the slope strip and resist the downward trend.

[0074] Specifically, step S60 includes step S61, step S62, step S63, step S64 and step S65:

[0075] Step S61: Determine the internal friction angle of each slope strip based on the slope soil information. The internal friction angle is an important parameter that affects sliding stability. An accurate internal friction angle can more accurately evaluate the stability of the target slope.

[0076] Step S62: Determine a component force perpendicular to the potential sliding surface of the slope based on the preset deadweight of the slope strip to obtain a first anti-sliding force;

[0077] Specifically, step S62 includes step S621 and step S622:

[0078] Step S621: Based on the slope soil information in the slope information, determine the cohesion at the bottom of each slope strip;

[0079] Step S622: Calculate the product of the cohesion and length of the slope strip to obtain the first anti-slip force;

[0080] Specifically, the calculation formula of the first anti-slip force is:

[0081] s i =c i *l i *h i

[0082] Among them, s i is the first anti-sliding force of the i-th slope strip; c i is the cohesion at the bottom of the i-th slope strip; l i is the length of the i-th slope strip; h i is the width of the i-th slope strip; i=1;

[0083] In this application, in order to facilitate subsequent calculations, the width of each slope strip is set to unit width by default, with a value of 1.

[0084] Step S63: Based on the target anchoring force, internal friction angle, anchor cable inclination angle, and sliding surface inclination angle of the slope strip, the friction resistance along the potential sliding surface of the slope is determined to obtain a second anti-slip force;

[0085] Specifically, step S63 includes step S631, step S632, step S633, step S634 and step S635:

[0086] Step S631. Calculate the product of the preset deadweight of the slope strip and the cosine function value of the sliding surface inclination angle to obtain a first value;

[0087] Step S632: Calculate the sum of the anchor cable inclination angle and the sliding surface inclination angle of the slope strip to obtain the angle sum, which is the sum of the anchor cable inclination angle and the sliding surface inclination angle;

[0088] Step S633. Calculate the product of the target anchoring force of the slope strip and the sine function value of the angle sum to obtain a second value;

[0089] Step S634. Calculate the sum of the first value and the second value to obtain a third value;

[0090] Step S635: Calculate the product of the tangent function value of the internal friction angle of the slope strip and the third value to obtain the second anti-slip force;

[0091] Specifically, the second anti-slip force calculation formula is:

[0092]

[0093] Among them, n i is the second anti-sliding force of the i-th slope strip; W i is the deadweight of the i-th slope strip; α i is the sliding surface inclination angle of the i-th slope strip; N aki is the target anchoring force of the i-th slope strip; β i is the anchor cable inclination angle of the i-th slope strip; is the internal friction angle of the i-th slope strip; i=1.

[0094] Step S64: Based on the target anchoring force of the slope strip, the anchor cable inclination angle, and the sliding surface inclination angle, determine the component force perpendicular to the potential sliding surface of the slope to obtain the third anti-sliding force;

[0095] Specifically, the product of the target anchoring force and the cosine function value of the angle sum is calculated to obtain the third anti-slip force. The calculation formula of the third anti-slip force is:

[0096] m i =N aki cos(α i +β i )

[0097] Among them, m i is the third anti-sliding force of the i-th slope strip; α i is the sliding surface inclination angle of the i-th slope strip; N akiis the target anchoring force of the i-th slope strip; β i is the anchor cable inclination angle of the i-th slope strip.

[0098] Step S65: Calculate the anti-slip force of the slope strip based on the first anti-slip force, the second anti-slip force, and the third anti-slip force;

[0099] Specifically, the sum of the first anti-slip force, the second anti-slip force, and the third anti-slip force is calculated to obtain the slope strip anti-slip force. The calculation formula is:

[0100] S i =s i +n i +m i

[0101] Among them, S i is the anti-sliding force of the i-th slope strip; s i is the first anti-sliding force of the i-th slope strip; n i is the second anti-sliding force of the i-th slope strip; m i is the third anti-sliding force of the i-th slope strip.

[0102] According to the above external force E i The expression of can be obtained. When there is only one slope strip on the target slope, an additional external force E is required. i The size is:

[0103] E i =F s W i sinα i -S i

[0104] Among them, E i is the external force of the i-th slope strip; F s is the stability coefficient; W i is the deadweight of the i-th slope strip; α i is the sliding surface inclination angle of the i-th slope strip; S i is the anti-sliding force of the i-th slope strip.

[0105] Step S70: Based on the sliding force, anti-sliding force, sliding surface inclination and stability coefficient of all slope strips, multiple external force calculation formulas are constructed, wherein the stability coefficient of all slope strips is the same;

[0106] Specifically, in this application, the target slope is divided into multiple slope strips. Referring to the relevant assumptions and principles of the transfer coefficient method, the force transmission between the slope strips also needs to be considered to achieve accurate measurement of the stability of the target slope.

[0107] When there are multiple slope strips in a landslide, the stress condition of any slope strip will be affected by the two adjacent slope strips. Figure 5 As shown in FIG, the slope strip in the middle is taken as the i-th slope strip, and its adjacent two sides are the i-1-th slope strip and the i+1-th slope strip respectively.

[0108] Therefore, there will be an external force E on the side of the i-th slope strip transmitted by the i-1-th slope strip. i-1 and the external force E provided by the i+1th slope strip i+1 Among them, the external force E i-1 That is, the reaction force of the additional external force provided by the i-th slope strip to the i-1th slope strip, which is called the residual sliding force of the i-1th slope strip. The direction of the force is consistent with the bottom inclination of the i-1th slope strip. The external force E i+1 That is, the additional external force provided by the i+1th slope strip to the ith slope strip, and the direction of the force is consistent with the bottom inclination angle of the ith slope strip.

[0109] Specifically, step S70 includes step S71, step S72, step S73, step S74 and step S75:

[0110] Step S71. Determine a first target strip and a second target strip from a plurality of slope strips, wherein the first target strip is any slope strip among the slope strips, and the second target strip is a slope strip adjacent to the first target strip and located on the high-altitude side;

[0111] Step S72: Based on the sliding force, stability coefficient and anti-sliding force of the second target strip, construct an external force calculation formula for the first target strip;

[0112] Step S73: Calculate the transfer coefficient based on the sliding surface inclination angle of the first target bar, the friction angle of the first target bar, and the sliding surface inclination angle of the second target bar;

[0113] Step S74: Calculate the product of the external force calculation formula and the transfer coefficient to obtain the external force transfer calculation formula of the second target bar;

[0114] Step S75: Based on the sliding force of the first target bar, the anti-sliding force of the first target bar, the external force transmission calculation formula and the stability coefficient, a residual external force calculation formula is constructed;

[0115] Specifically, when the target slope is divided into multiple slope strips, there is a residual sliding force E provided by the previous slope strip, i.e., the i-1th slope strip, on one side of the i-th slope strip. i-1 ,like Figure 6 China E i-1 At this time, when it is necessary to ensure that the stability coefficient of the i-th slope block reaches F sWhen the i-th slope strip needs to provide the external force E to the next i+1-th slope strip, i Size:

[0116] E i =F s W i sinα i +E i-1 ψ i-1 -S i

[0117] Among them, E i is the external force of the i-th slope strip; F s is the stability coefficient; W i is the deadweight of the i-th slope strip; α i is the sliding surface inclination angle of the i-th slope strip; S i is the anti-sliding force of the i-th slope strip; E i-1 is the external force of the i-1th slope strip, that is, the residual sliding force provided by the i-1th slope strip to the i-th slope strip; ψ i-1 is the transfer coefficient of the residual sliding force of the i-1th slope strip;

[0118] The calculation formula for the transfer coefficient of the residual sliding force of the i-1th slope strip is:

[0119]

[0120] Among them, ψ i-1 is the transfer coefficient of the residual sliding force of the i-1th slope strip; α i-1 is the sliding surface inclination angle of the i-1th slope strip; α i-2 is the sliding surface inclination angle of the i-2th slope strip; is the internal friction angle of the i-1th slope strip.

[0121] Step S80: jointly solve all external force calculation formulas to obtain the stability coefficient of the target slope;

[0122] Specifically, considering that when i = n, the nth slope strip is the bottom strip of the target slope, and there will be no next slope strip to provide it with anti-sliding force, so when the target slope is in a stable state or no sliding occurs, the boundary condition exists as follows:

[0123] E n =0

[0124] Among them, E n is the external force of the nth slope strip.

[0125] In this application, the stability coefficient of each slope block F is considered to be sEqual is the overall stability coefficient value of the target slope. Therefore, when calculating the stability coefficient of a target slope without sliding, the stability coefficient calculation result of the target slope can be obtained by constructing multiple external force calculation formulas mentioned above and continuously bringing them in for solution.

[0126] For example, when the target slope is divided into four slope strips, the external force calculation formula for each slope strip is established in sequence and introduced into the subsequent calculation formulas in sequence:

[0127] The external force calculation formula for the first slope strip is:

[0128] E1=F s W1 sinα1-S1

[0129] Where E1 is the external force of the first slope strip; F s is the stability coefficient; W1 is the deadweight of the first slope strip; α1 is the sliding surface inclination angle of the first slope strip; S1 is the anti-sliding force of the first slope strip.

[0130] In the above calculation formula, F s and E1 are unknown parameters, W1, α1 and S1 are known parameters.

[0131] Establish the external force calculation formula for the second slope strip, and substitute the calculation formula for the first slope strip into it to obtain:

[0132] E2=F s W2 sinα2+E1ψ1-S2=F s W2 sinα2+(F s W1 sinα1-S1)ψ1-S2

[0133] Where E1 is the external force of the first slope strip; F s is the stability coefficient; W1 is the deadweight of the first slope strip; α1 is the sliding surface inclination angle of the first slope strip; S1 is the anti-sliding force of the first slope strip; E2 is the external force of the second slope strip; W2 is the deadweight of the second slope strip; α2 is the sliding surface inclination angle of the second slope strip; S2 is the anti-sliding force of the second slope strip; ψ1 is the transmission coefficient of the residual sliding force of the first slope strip.

[0134] In the above calculation formula, F s and E2 are unknown parameters, and W1, α1, S1, ψ1, W2, α2 and S2 are known parameters.

[0135] For the third slope strip, establish the external force calculation formula, and substitute the calculation formula of the second slope strip into it to obtain:

[0136] E3=F sW3 sinα3+E2ψ2-S3=F s W3sinα3+[F s W2sinα2+(F s W1 sinα1-S1)ψ1-S2]ψ2-S3

[0137] Among them, F s is the stability coefficient; W1 is the deadweight of the first slope strip; α1 is the sliding surface inclination angle of the first slope strip; S1 is the anti-sliding force of the first slope strip; E2 is the external force of the second slope strip; W2 is the deadweight of the second slope strip; α2 is the sliding surface inclination angle of the second slope strip; S2 is the anti-sliding force of the second slope strip; E3 is the external force of the third slope strip; W3 is the deadweight of the third slope strip; α3 is the sliding surface inclination angle of the third slope strip; S3 is the anti-sliding force of the third slope strip; ψ1 is the transfer coefficient of the residual sliding force of the first slope strip; ψ2 is the transfer coefficient of the residual sliding force of the second slope strip.

[0138] In the above formula, F s and E3 are unknown parameters, and W1, α1, S1, ψ1, W2, α2, S2, ψ2, W3, α3 and S3 are known parameters.

[0139] For the fourth slope strip, establish the external force calculation formula, and substitute the calculation formula of the third slope strip into it to obtain:

[0140] E4=F s W4sinα4+E3ψ3-S4

[0141] =F s W4sinα4+{F s W3sinα3+[F s W2sinα2+(F s W1sinα1-S1)ψ1-S2]ψ2-S3}ψ3-S4

[0142] =0

[0143] Among them, F sis the stability coefficient; W1 is the deadweight of the first slope strip; α1 is the sliding surface inclination angle of the first slope strip; S1 is the anti-sliding force of the first slope strip; W2 is the deadweight of the second slope strip; α2 is the sliding surface inclination angle of the second slope strip; S2 is the anti-sliding force of the second slope strip; E3 is the external force of the third slope strip; W3 is the deadweight of the third slope strip; α3 is the sliding surface inclination angle of the third slope strip; S3 is the anti-sliding force of the third slope strip; E4 is the external force of the fourth slope strip; W4 is the deadweight of the fourth slope strip; α4 is the sliding surface inclination angle of the fourth slope strip; S4 is the anti-sliding force of the fourth slope strip; ψ1 is the transfer coefficient of the residual sliding force of the first slope strip; ψ2 is the transfer coefficient of the residual sliding force of the second slope strip; ψ3 is the transfer coefficient of the residual sliding force of the third slope strip.

[0144] In the calculation formula, F s are unknown parameters, and W1, α1, S1, ψ1, W2, α2, S2, ψ2, W3, α3, S3, ψ3, W4, α4, and S4 are known parameters. Therefore, the stability coefficient F of the target slope can be obtained s .

[0145] Example 2:

[0146] like Figure 7 As shown, this embodiment provides a slope stability calculation device under a soil nail anchor support system, the device comprising:

[0147] An acquisition unit 10 is used to acquire relevant information of a target slope, including slope geometry information and slope soil quality information;

[0148] The simulation unit 20 is used to search for a sliding surface based on the relevant information based on the preset calculation software to determine the potential sliding surface of the target slope;

[0149] The first dividing unit 30 is used to divide the slope soil block between the potential sliding surface and the slope surface into a plurality of slope strips, and determine the anchor cable inclination angle and the sliding surface inclination angle at the corresponding position of each slope strip based on the slope soil quality information;

[0150] The first determining unit 40 is configured to determine a target anchoring force of each slope strip based on the anchoring force of the anchor cable in the slope geometry information;

[0151] The first calculation unit 50 is used to calculate the sliding force of each slope strip based on the preset deadweight and sliding surface inclination of all slope strips;

[0152] The second calculation unit 60 is used to calculate the anti-sliding force of each slope strip based on the preset deadweight, anchor cable inclination, sliding surface inclination, target anchoring force and related information of all slope strips;

[0153] A first constructing unit 70 is configured to construct a plurality of external force calculation formulas based on the sliding force, anti-sliding force, sliding surface inclination and stability coefficient of all slope strips, wherein the stability coefficient of all slope strips is the same;

[0154] The solving unit 80 is used to jointly solve all external force calculation formulas to obtain the stability coefficient of the target slope.

[0155] In a specific embodiment disclosed in this application, the first determining unit 40 includes:

[0156] A second determining unit is used to determine the horizontal spacing and the vertical spacing of the anchor cables based on the relevant information;

[0157] The second calculation unit is used to calculate the product of the horizontal spacing and the vertical spacing to obtain a range value;

[0158] The third calculation unit is used to calculate the ratio of the anchoring force and the range value to obtain the uniform force;

[0159] The second dividing unit is used to set a plurality of vertical lines along the height direction of the slope to divide the slope soil block between the potential sliding surface of the slope and the slope surface into a plurality of slope strips, each of which carries a length value and a width value;

[0160] The fourth calculation unit is used to calculate the product of the length value, the width value and the uniformly distributed force of each slope strip to obtain the target anchoring force.

[0161] In a specific embodiment disclosed in the present application, the second calculation unit 60 includes:

[0162] The second determining unit is used to determine the internal friction angle of each slope strip based on the slope soil information;

[0163] A first obtaining unit is used to determine a component force perpendicular to the potential sliding surface of the slope based on a preset deadweight of the slope strip to obtain a first anti-sliding force;

[0164] The second obtaining unit is used to determine the friction resistance along the potential sliding surface of the slope based on the target anchoring force of the slope strip, the internal friction angle, the anchor cable inclination angle and the sliding surface inclination angle, and obtain the second anti-sliding force;

[0165] a third obtaining unit for determining a component force perpendicular to the potential sliding surface of the slope based on the target anchoring force of the slope strip, the anchor cable inclination angle, and the sliding surface inclination angle, thereby obtaining a third anti-sliding force;

[0166] The fourth obtaining unit is used to calculate the anti-sliding force of the slope strip based on the first anti-sliding force, the second anti-sliding force and the third anti-sliding force.

[0167] In a specific embodiment disclosed in the present application, the second obtaining unit includes:

[0168] a fifth calculation unit, configured to calculate the product of a preset deadweight of the slope strip and a cosine function value of a sliding surface inclination angle to obtain a first value;

[0169] a sixth calculation unit, configured to calculate the sum of the anchor cable inclination angle and the sliding surface inclination angle of the slope strip to obtain the angle sum;

[0170] a seventh calculation unit, configured to calculate the product of the target anchoring force of the slope strip and the sine function value of the angle sum to obtain a second value;

[0171] an eighth calculating unit, configured to calculate the sum of the first value and the second value to obtain a third value;

[0172] The ninth calculation unit is used to calculate the product of the tangent function value of the internal friction angle of the slope strip and the third value to obtain the second anti-slip force.

[0173] In a specific embodiment disclosed in this application, the fourth obtaining unit includes:

[0174] The third determining unit is configured to determine the cohesion at the bottom of each slope strip based on the slope soil quality information in the slope information;

[0175] a tenth calculation unit, for calculating the product of the cohesion and length of the slope strip to obtain a first anti-sliding force;

[0176] an eleventh calculation unit, configured to calculate a product of a target anchoring force and a cosine function value of the angle sum to obtain a third anti-slip force;

[0177] The twelfth calculation unit is used to calculate the sum of the first anti-slip force, the second anti-slip force and the third anti-slip force to obtain the slope strip anti-slip force.

[0178] In a specific embodiment disclosed in the present application, the first building unit 70 includes:

[0179] A fourth determining unit is configured to determine a first target strip and a second target strip from the plurality of slope strips, wherein the first target strip is any slope strip among the slope strips, and the second target strip is a slope strip adjacent to the first target strip and located on a high altitude side;

[0180] A second construction unit is used to construct an external force calculation formula for the first target strip based on the sliding force, stability coefficient and anti-sliding force of the second target strip;

[0181] a thirteenth calculation unit, configured to calculate a transfer coefficient based on the sliding surface inclination angle of the first target bar, the friction angle of the first target bar, and the sliding surface inclination angle of the second target bar;

[0182] a fourteenth calculation unit, configured to calculate the product of the external force calculation formula and the transfer coefficient to obtain the external force transfer calculation formula of the second target strip;

[0183] The third construction unit is used to construct a residual external force calculation formula based on the sliding force of the first target block, the anti-sliding force of the first target block, the external force transmission calculation formula and the stability coefficient.

[0184] It should be noted that, regarding the apparatus in the above embodiment, the specific manner in which each module performs operations has been described in detail in the embodiment of the method, and will not be elaborated on here.

[0185] The foregoing description is merely a preferred embodiment of the present invention and is not intended to limit the present invention. Those skilled in the art will readily appreciate that various modifications and variations of the present invention are possible. Any modifications, equivalent substitutions, or improvements made within the spirit and principles of the present invention shall be included within the scope of protection of the present invention.

[0186] The above description is merely a specific embodiment of the present invention, but the scope of protection of the present invention is not limited thereto. Any modifications or substitutions that can be easily conceived by a person skilled in the art within the technical scope disclosed in the present invention should be included within the scope of protection of the present invention. Therefore, the scope of protection of the present invention should be based on the scope of protection of the claims.

Claims

1. A slope stability calculation method under a soil nail anchor support system, characterized in that: include: Obtaining relevant information of the target slope, including slope geometry information and slope soil quality information; Performing a sliding surface search on the relevant information based on a preset calculation software to determine a potential sliding surface of the target slope; Dividing the slope soil block between the potential sliding surface and the slope surface into a plurality of slope strips, and determining the anchor cable inclination angle and the sliding surface inclination angle at a corresponding position of each slope strip based on the slope soil quality information; Determining the target anchoring force of each slope strip based on the anchoring force of the anchor cable in the slope geometry information; Based on the preset deadweight of all slope strips and the sliding surface inclination, the sliding force of each slope strip is calculated; Calculating the anti-sliding force of each slope strip based on the preset deadweight of all slope strips, the anchor cable inclination angle, the sliding surface inclination angle, the target anchoring force and the relevant information; Based on the sliding force, the anti-sliding force, the sliding surface inclination and the stability coefficient of all slope strips, a plurality of external force calculation formulas are constructed, wherein the stability coefficient of all slope strips is the same; All external force calculation formulas are jointly solved to obtain the stability coefficient of the target slope; Among them, based on the sliding force, the anti-sliding force, the sliding surface inclination and the stability coefficient of all slope blocks, multiple external force calculation formulas are constructed, including: Determining a first target strip and a second target strip from a plurality of slope strips, wherein the first target strip is any slope strip among the slope strips, and the second target strip is a slope strip adjacent to the first target strip and located on a high altitude side; Constructing an external force calculation formula for the first target strip based on the sliding force of the second target strip, the stability coefficient, and the anti-sliding force; Calculating a transfer coefficient based on the sliding surface inclination angle of the first target bar, the friction angle of the first target bar, and the sliding surface inclination angle of the second target bar; Calculating the product of the external force calculation formula and the transfer coefficient to obtain the external force transfer calculation formula of the second target block; constructing a residual external force calculation formula based on the sliding force of the first target bar, the anti-sliding force of the first target bar, the external force transmission calculation formula, and the stability coefficient; The target anchoring force of each slope strip is determined based on the anchoring force of the anchor cable in the slope geometry information, including: Determine the horizontal spacing and the vertical spacing of the anchor cables based on the relevant information; Calculating the product of the horizontal spacing and the vertical spacing to obtain a range value; Calculating the ratio of the anchoring force to the range value to obtain the uniform force; A plurality of vertical lines are arranged along the height direction of the slope to divide the slope soil block between the potential sliding surface of the slope and the slope surface into a plurality of slope strips, each of which carries a length value and a width value; The product of the length value, the width value and the uniformly distributed force of each slope strip is calculated to obtain the target anchoring force.

2. The slope stability calculation method under the soil nail anchor support system according to claim 1 is characterized in that Based on the preset deadweight of all slope strips, the anchor cable inclination, the sliding surface inclination, the target anchoring force and the relevant information, the anti-sliding force of each slope strip is calculated, including: Determining the internal friction angle of each slope strip based on the slope soil quality information; Determining a component force perpendicular to the potential sliding surface of the slope based on the preset deadweight of the slope strip to obtain a first anti-sliding force; Determining the friction resistance along the potential sliding surface of the slope based on the target anchoring force of the slope strip, the internal friction angle, the anchor cable inclination angle, and the sliding surface inclination angle to obtain a second anti-slip force; Based on the target anchoring force of the slope strip, the anchor cable inclination angle and the sliding surface inclination angle, a component force perpendicular to the potential sliding surface of the slope is determined to obtain a third anti-sliding force; The anti-slip force of the slope strip is calculated based on the first anti-slip force, the second anti-slip force and the third anti-slip force.

3. The slope stability calculation method under the soil nail anchor support system according to claim 2 is characterized in that Based on the target anchoring force of the slope strip, the internal friction angle, the anchor cable inclination angle, and the sliding surface inclination angle, the friction resistance along the potential sliding surface of the slope is determined to obtain a second anti-slip force, including: Calculating the product of the preset deadweight of the slope strip and the cosine function value of the sliding surface inclination angle to obtain a first value; Calculating the sum of the anchor cable inclination angle of the slope strip and the sliding surface inclination angle to obtain the angle sum; Calculating the product of the target anchoring force of the slope strip and the sine function value of the angle sum to obtain a second value; Calculating the sum of the first value and the second value to obtain a third value; The second anti-slip force is obtained by calculating the product of the tangent function value of the internal friction angle of the slope strip and the third value.

4. The slope stability calculation method under the soil nail anchor support system according to claim 3 is characterized in that Calculating the anti-slip force of the slope strip based on the first anti-slip force, the second anti-slip force, and the third anti-slip force includes: Determining the cohesion at the bottom of each slope strip based on the slope soil information in the slope information; Calculating the product of the cohesion of the slope strip and the length value to obtain a first anti-sliding force; Calculating the product of the target anchoring force and the cosine function value of the angle sum to obtain a third anti-slip force; The sum of the first anti-slip force, the second anti-slip force and the third anti-slip force is calculated to obtain the slope strip anti-slip force.

5. A slope stability calculation device under a soil nail anchor support system, characterized in that: include: An acquisition unit, configured to acquire relevant information of a target slope, wherein the relevant information includes slope geometry information and slope soil quality information; A simulation unit, configured to search for a sliding surface on the relevant information based on a preset calculation software, and determine a potential sliding surface of the target slope; A first dividing unit is configured to divide the slope soil block between the potential sliding surface and the slope surface into a plurality of slope strips, and determine the anchor cable inclination angle and the sliding surface inclination angle at a corresponding position of each slope strip based on the slope soil quality information; A first determining unit is configured to determine a target anchoring force of each slope strip based on the anchoring force of the anchor cable in the slope geometry information; A first calculation unit is configured to calculate the sliding force of each slope strip based on the preset deadweight of all slope strips and the sliding surface inclination; a second calculation unit, configured to calculate the anti-sliding force of each slope strip based on the preset deadweight of all slope strips, the anchor cable inclination angle, the sliding surface inclination angle, the target anchoring force and the relevant information; A first constructing unit is configured to construct a plurality of external force calculation formulas based on the sliding force, the anti-sliding force, the sliding surface inclination and the stability coefficient of all the slope strips, wherein the stability coefficient of all the slope strips is the same; A solving unit, used for jointly solving all external force calculation formulas to obtain the stability coefficient of the target slope; Among them, based on the sliding force, the anti-sliding force, the sliding surface inclination and the stability coefficient of all slope blocks, multiple external force calculation formulas are constructed, including: Determining a first target strip and a second target strip from a plurality of slope strips, wherein the first target strip is any slope strip among the slope strips, and the second target strip is a slope strip adjacent to the first target strip and located on a high altitude side; Constructing an external force calculation formula for the first target strip based on the sliding force of the second target strip, the stability coefficient, and the anti-sliding force; Calculating a transfer coefficient based on the sliding surface inclination angle of the first target bar, the friction angle of the first target bar, and the sliding surface inclination angle of the second target bar; Calculating the product of the external force calculation formula and the transfer coefficient to obtain the external force transfer calculation formula of the second target block; constructing a residual external force calculation formula based on the sliding force of the first target bar, the anti-sliding force of the first target bar, the external force transmission calculation formula, and the stability coefficient; The first determining unit includes: A second determining unit is configured to determine a transverse spacing and a longitudinal spacing of the anchor cables based on the relevant information; A second calculation unit is used to calculate the product of the horizontal spacing and the vertical spacing to obtain a range value; a third calculation unit, configured to calculate a ratio of the anchoring force to the range value to obtain a uniformly distributed force; A second dividing unit is configured to set a plurality of vertical lines along the height direction of the slope to divide the slope soil block between the potential sliding surface of the slope and the slope surface into a plurality of slope strips, each of which carries a length value and a width value; The fourth calculation unit is used to calculate the product of the length value, the width value and the uniformly distributed force of each slope strip to obtain the target anchoring force.

6. The slope stability calculation device under the soil nail anchor support system according to claim 5 is characterized in that: The second calculation unit includes: A second determining unit is configured to determine the internal friction angle of each slope strip based on the slope soil quality information; A first obtaining unit is configured to determine a component force perpendicular to the potential sliding surface of the slope based on a preset deadweight of the slope strip to obtain a first anti-sliding force; a second obtaining unit, configured to determine the friction resistance along the potential sliding surface of the slope based on the target anchoring force of the slope strip, the internal friction angle, the anchor cable inclination angle, and the sliding surface inclination angle, to obtain a second anti-slip force; a third obtaining unit, configured to determine a component force perpendicular to the potential sliding surface of the slope based on the target anchoring force of the slope strip, the anchor cable inclination angle, and the sliding surface inclination angle, to obtain a third anti-sliding force; The fourth obtaining unit is configured to calculate the anti-slip force of the slope strip based on the first anti-slip force, the second anti-slip force and the third anti-slip force.

7. The slope stability calculation device under the soil nail anchor support system according to claim 6 is characterized in that: The second obtaining unit includes: a fifth calculation unit, configured to calculate the product of a preset deadweight of the slope strip and a cosine function value of the sliding surface inclination angle to obtain a first value; a sixth calculation unit, configured to calculate the sum of the anchor cable inclination angle of the slope strip and the sliding surface inclination angle to obtain an angle sum; a seventh calculation unit, configured to calculate a product of a target anchoring force of the slope strip and a sine function value of the angle sum to obtain a second value; an eighth calculating unit, configured to calculate the sum of the first value and the second value to obtain a third value; The ninth calculation unit is used to calculate the product of the tangent function value of the internal friction angle of the slope strip and the third value to obtain the second anti-slip force.

8. The slope stability calculation device under the soil nail anchor support system according to claim 7 is characterized in that: The fourth obtaining unit includes: a third determining unit, configured to determine the cohesion at the bottom of each slope strip based on the slope soil quality information in the slope information; a tenth calculation unit, configured to calculate the product of the cohesion of the slope strip and the length value to obtain a first anti-sliding force; an eleventh calculation unit, configured to calculate a product of the target anchoring force and a cosine function value of the angle sum to obtain a third anti-slip force; The twelfth calculation unit is used to calculate the sum of the first anti-slip force, the second anti-slip force and the third anti-slip force to obtain the slope strip anti-slip force.

Images