Slope stability calculation method and device under soil nail anchor cable supporting system

Abstract

The invention provides a slope stability calculation method and device under a soil nail anchor cable supporting system, and relates to the technical field of slope stability calculation, and the method comprises the steps: obtaining the related information of a target slope; dividing a side slope soil block between the potential sliding surface of the side slope and the slope surface of the side slope into a plurality of side slope strip blocks; the target anchoring force of each side slope strip block is determined; calculating to obtain the sliding force of each side slope strip block; the anti-sliding force of each side slope strip block is obtained through calculation; constructing a plurality of external force calculation formulas; and obtaining a stability coefficient. According to the method, a target slope is integrally divided into a plurality of slope strips, the anchoring force of each strip is finely analyzed, and a calculation formula of the anti-sliding force, the sliding force and the external force of each slope strip is constructed; according to the method, the calculation formula of each slope strip block is solved simultaneously, and the stability coefficient of the target slope is obtained, so that the overall stability of the slope is determined more accurately, and data support is provided for safety management, construction scheme optimization and subsequent dynamic monitoring of the target slope.

Description

Technical Field

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

[0002] Landslide disaster is one of the three major natural disasters in my country, causing immeasurable economic losses in southwest my country every year. In order to ensure the safety of people's lives and property and the construction of local engineering projects, certain support measures need to be taken for slopes prone to sliding to improve the stability of the slopes. Commonly used support measures include: anti-slide piles, retaining walls, frame beams, anchor cables (rods), soil nail walls, and composite support forms of multiple support measures, etc. Among them, the soil nail anchor cable support system is widely used by engineering personnel due to its strong adaptability, convenient construction, and stable structure. 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 problems. In order to achieve the above 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, wherein the relevant information includes slope geometry information and slope soil quality information;

[0006] Based on the preset calculation software, a sliding surface search is performed on the relevant information to determine the potential sliding surface of the target slope;

[0007] Dividing the slope soil block between the potential sliding surface of the slope 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] Based on the anchoring force of the anchor cable in the slope geometry information, a target anchoring force of each slope strip is determined;

[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] 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 related information, the anti-sliding force of each slope strip is calculated;

[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 coefficients of all slope strips are 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, used 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, used for searching the sliding surface of the relevant information based on a preset calculation software to determine the potential sliding surface of the target slope;

[0016] A first division unit is used to divide the slope soil block between the potential sliding surface of the slope 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;

[0017] A first determining unit is used 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 used 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 is used 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 related information;

[0020] A first construction unit is used 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 coefficients of all the slope strips are 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, performs a detailed analysis on the anchoring force of each strip, and constructs calculation formulas for the anti-sliding 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 become apparent from the description, or may be understood 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 drawings required for use in the embodiments are briefly introduced below. It should be understood that the following drawings only show certain embodiments of the present invention and therefore should not be regarded as limiting the scope. For ordinary technicians in this field, other related drawings can be obtained based on these drawings without creative work.

[0026] Figure 1 It is a schematic flow chart of a slope stability calculation method under a soil nail anchor cable support system described in an embodiment of the present invention;

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

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

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

[0030] Figure 5 It is a schematic diagram of the interaction between multiple slope strips described in an embodiment of the present invention;

[0031] Figure 6 It is a schematic diagram of the force of the slope strips described in the embodiment of the present invention;

[0032] Figure 7 It is a schematic diagram of the structure of a slope stability calculation device under a 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, rather than all of the embodiments. The components of the embodiments of the present invention generally described and shown in the drawings here can be arranged and designed in various different configurations. Therefore, the following detailed description of the embodiments of the present invention provided in the drawings is not intended to limit the scope of the claimed invention, but merely represents selected embodiments of the present invention. Based on the embodiments in the present invention, all other embodiments obtained by ordinary technicians in this field without making creative work are within the scope of protection of the present invention.

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

[0037] Embodiment 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, wherein the relevant information includes slope geometry information and slope soil information;

[0041] Specifically, the slope geometry information includes the slope height, slope gradient, slope length of the target slope, and related information of the soil nail anchor cables set inside the target slope; the slope soil quality information includes soil layer distribution and soil type.

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

[0043] Specifically, considering that the soil nail and anchor support system refers to placing soil nails and anchors 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, the soil that generates lateral pressure becomes a part of the support structure, thereby improving the overall stiffness of the soil.

[0044] In this application, the potential sliding surface of the slope is generated by inputting relevant information 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 segment of the potential sliding surface of the slope, and the dotted line part is the undetermined segment 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 segment 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 of the slope 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 information;

[0046] Specifically, as attached Figure 4 As shown, multiple vertical lines are set along the height direction of the target slope to divide the slope soil block between the potential sliding surface of the slope and the slope surface into multiple slope strips, and each slope strip carries a length value and a 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 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, it is considered that the part where the anchor cable exists on the potential sliding surface of the slope is the anchoring section, and it is also 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 specifically includes step S41, step S42, step S43 and step S44:

[0050] Step S41. Determine the lateral spacing and longitudinal 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 value, width value and uniform force of each slope strip 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 taken as a whole, it is assumed that there is only one slope strip, and the calculation formula for the stability coefficient 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-sliding force of the slope strip, the anti-sliding 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 of the slope strip T i Mainly due to the deadweight of the slope strip itself W 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 self-weight 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: based on the preset deadweight, anchor cable inclination, sliding surface inclination, target anchoring force and related information of all slope strips, the anti-sliding force of each slope strip is calculated;

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

[0074] Specifically, step S60 specifically 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, and an accurate internal friction angle can more accurately evaluate the stability of the target slope.

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

[0077] Specifically, step S62 specifically 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-sliding 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 the second anti-sliding force;

[0085] Specifically, step S63 specifically 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 self-weight 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 inclination angle of the anchor cable of the i-th slope strip.

[0098] Step S65. Based on the first anti-slip force, the second anti-slip force and the third anti-slip force, the anti-slip force of the slope strip is calculated;

[0099] Specifically, the sum of the first anti-sliding force, the second anti-sliding force and the third anti-sliding force is calculated to obtain the anti-sliding force of the slope strip, and 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 self-weight 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 coefficients of all slope strips are the same;

[0106] Specifically, in this application, the target slope is divided into multiple slope strips, and referring to the relevant assumptions and principles of the transfer coefficient method, the force transfer between the slope strips also needs to be considered, so as 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 adjacent slope strips. Figure 5 As shown, 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 transmitted by the i-1th slope strip on the side of the i-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-1-th slope strip is called the residual sliding force of the i-1-th slope strip. The direction of the force is consistent with the bottom inclination of the i-1-th 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 specifically 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 at a high altitude side;

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

[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 Medium 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 an 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 self-weight 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 solving 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 anti-sliding force for it, 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 F of each slope block is considered to be sEqual is the stability coefficient value of the target slope as a whole. Therefore, when calculating the stability coefficient of a target slope without sliding, the calculation result of the stability coefficient 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 turn and introduced into the subsequent calculation formulas in turn:

[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 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] For the second slope strip, establish the external force calculation formula, and substitute the calculation formula of 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 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 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 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 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] Embodiment 2:

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

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

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

[0149] The first division unit 30 is used to divide the slope soil block between the potential sliding surface of the slope 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] A first determination unit 40 is used 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 used 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 implementation disclosed in the present application, the first determining unit 40 includes:

[0156] A second determining unit is used to determine the lateral spacing and longitudinal 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] A 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 division 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 implementation disclosed in the present application, the second calculation unit 60 includes:

[0162] The second determination 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 a 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] The third obtaining unit is used to determine the component force perpendicular to the potential sliding surface of the slope based on the target anchoring force of the slope strip, the inclination angle of the anchor cable and the inclination angle of the sliding surface, so as to obtain the 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 is used to 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;

[0169] The sixth calculation unit is used 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 is used 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 calculation 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 implementation manner disclosed in the present application, the fourth obtaining unit includes:

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

[0175] The tenth calculation unit is used to calculate the product of the cohesion and length of the slope strip to obtain the first anti-sliding force;

[0176] an eleventh calculation unit, configured to calculate the product of the target anchoring force and the 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-sliding force, the second anti-sliding force and the third anti-sliding force to obtain the slope strip anti-sliding force.

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

[0179] A fourth determining unit is used to 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 at a high altitude side;

[0180] A second construction unit is used to construct an external force calculation formula of 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 is used to 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;

[0182] A fourteenth calculation unit is used 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 strip, the anti-sliding force of the first target strip, the external force transmission calculation formula and the stability coefficient.

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

[0185] The above description is only a preferred embodiment of the present invention and is not intended to limit the present invention. For those skilled in the art, the present invention may have various modifications and variations. Any modification, equivalent replacement, improvement, etc. made within the spirit and principle of the present invention shall be included in the protection scope of the present invention.

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

Claims

1. A slope stability calculation method under a soil nail anchor support system, characterized in that: include: Obtaining relevant information of the target slope, wherein the relevant information includes slope geometry information and slope soil quality information; Based on the preset calculation software, a sliding surface search is performed on the relevant information to determine the potential sliding surface of the target slope; Dividing the slope soil block between the potential sliding surface of the slope 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; Based on the anchoring force of the anchor cable in the slope geometry information, a target anchoring force of each slope strip is determined; Based on the preset deadweight of all slope strips and the sliding surface inclination, the sliding force of each slope strip is calculated; 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 related information, the anti-sliding force of each slope strip is calculated; 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 coefficients of all slope strips are the same; All external force calculation formulas are solved jointly to obtain the stability coefficient of the target slope.

2. The slope stability calculation method under the soil nail anchor support system according to claim 1 is characterized in that , based on the anchoring force of the anchor cable in the slope geometry information, the target anchoring force of each slope strip is determined, including: Determine the lateral spacing and longitudinal spacing of the anchor cables based on the relevant information; Calculate 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 uniformly distributed 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.

3. The slope stability calculation method under the soil nail anchor support system according to claim 2 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 related information, the anti-sliding force of each slope strip is calculated, including: Determine the internal friction angle of each slope strip based on the slope soil information; 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; 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-sliding 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.

4. The slope stability calculation method under the soil nail anchor support system according to claim 3 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 the second anti-sliding force, including: 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; Calculating the sum of the anchor cable inclination angle of the slope strip and the sliding surface inclination angle to obtain the angle sum; 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; Calculate 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.

5. The slope stability calculation method under the soil nail anchor support system according to claim 4 is characterized in that , based on the first anti-slip force, the second anti-slip force and the third anti-slip force, the anti-slip force of the slope strip is calculated, including: Based on the slope soil information in the slope information, determining the cohesion at the bottom of each slope strip; Calculate the product of the cohesion of the slope strip and the length value to obtain a first anti-sliding force; Calculate 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.

6. A slope stability calculation device under a soil nail anchor cable support system, characterized in that: include: An acquisition unit, used to acquire relevant information of a target slope, wherein the relevant information includes slope geometry information and slope soil quality information; A simulation unit, used for searching the sliding surface of the relevant information based on a preset calculation software to determine the potential sliding surface of the target slope; A first division unit is used to divide the slope soil block between the potential sliding surface of the slope 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; A first determining unit is used 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 used 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 is used 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 related information; A first construction unit is used 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 coefficients of all the slope strips are the same; The solving unit is used to jointly solve all external force calculation formulas to obtain the stability coefficient of the target slope.

7. The slope stability calculation device under the soil nail anchor support system according to claim 6 is characterized in that: The first determining unit includes: A second determining unit is used to determine the lateral spacing and longitudinal spacing of the anchor cables based on the relevant information; A second calculation unit, used for calculating the product of the horizontal spacing and the vertical spacing to obtain a range value; A third calculation unit is used to calculate the ratio of the anchoring force and the range value to obtain a uniform force; A 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; 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.

8. The slope stability calculation device under the soil nail anchor support system according to claim 7 is characterized in that: The second computing unit comprises: A second determination unit is used to determine the internal friction angle of each slope strip based on the slope soil information; A first obtaining unit is used to 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; A 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, so as to obtain a second anti-sliding force; A third obtaining unit is used 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, so as to obtain a third anti-sliding force; 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.

9. The slope stability calculation device under the soil nail anchor support system according to claim 8 is characterized in that: The second obtaining unit comprises: A fifth calculation unit, used for 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; A sixth calculation unit, used for calculating 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 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; an eighth calculation 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.

10. The slope stability calculation device under the soil nail anchor cable support system according to claim 9, characterized in that: The fourth obtaining unit comprises: A third determining unit is used to determine the cohesion at the bottom of each slope strip based on the slope soil 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 the product of the target anchoring force and the 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.

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