Method for judging instability of rock slope

Abstract

The invention provides a method for judging instability of a rock slope. The method comprises the steps that the trend alpha 0 and the inclination angle theta 0 of the slope, the trend alpha i and the inclination angle theta i of a rock stratum structural plane and the friction angle psi of a rock mass structure are obtained; subtracting the trend alpha0 of the side slope from the trend alphai of the rock stratum structural plane to obtain a relative trend betai of the rock stratum structural plane; drawing a reference plane circle through the radius R, and defining the circle center coordinates of the reference plane circle as x = 0 and y = 0; a friction circle is drawn in the reference plane circle, the friction circle and the reference plane circle are concentric, and the radius Rf of the friction circle is equal to Rcospsi; a slope projection large circle is drawn in the reference plane circle, the coordinate of the circle center O0 of the slope projection large circle can be obtained according to x = Rtan theta 0 * cos alpha 0 and y = Rtan theta 0 * sin alpha 0, and the radius r0 of the slope projection large circle can be obtained according to r0 = R / cos theta 0; a plurality of rock stratum structural plane large circles are drawn in the reference plane circle, the coordinates of the circle center Oi of the large circles can be obtained according to x = Rtan theta i * cos beta i and y = Rtan theta i * sin beta i, and the radius ri of the large circles can be obtained according to ri = R / cos theta i; according to the principle that theta0 > = thetai > = psi, the intersection area of the slope projection large circle and the friction circle is judged as a possible sliding area; when i is larger than 1, if the intersection point of the large circles of any two rock stratum structural planes falls in the possible sliding area, it is judged that the slope is likely to be unstable. Programs can be written through the steps, automatic intelligent judgment software is achieved, and the problems that in the prior art, a rock slope stability judgment method is not easy to understand, the analysis process is complex, and the workload is huge are solved.

Description

Technical Field

[0001] The invention relates to the technical field of slope engineering, and in particular to a method for judging the instability of a rock slope. Background Art

[0002] Almost every water conservancy, hydropower, geotechnical engineering and other projects will encounter the problem of slope stability analysis. Slope stability evaluation is an important analysis and decision-making basis for slope design, slope stability judgment, slope reinforcement and management. Especially in the early stage of project planning, on-site investigation, and preliminary plan formulation, a method with small workload and the ability to quickly judge the stability of the slope is particularly important. At present, the existing technology usually uses the stereographic projection method to judge the stability of rock slopes, but this traditional stereographic projection method is not easy to understand and analyze, the process is complicated, and the workload is large. Summary of the invention

[0003] In view of the shortcomings of the prior art described above, the purpose of the present invention is to provide a method for judging the instability of a rock slope, which can judge the instability of the slope simply and quickly, and is used to solve the problems in the prior art that the method for judging the stability of a rock slope is not easy to understand, the analysis process is relatively complicated, and the workload is large.

[0004] To achieve the above-mentioned and other related purposes, the present invention provides a method for determining whether a rock slope is unstable, comprising:

[0005] Obtain the direction α0 and inclination θ0 of the slope, and the direction α of multiple groups of rock structure surfaces i and the inclination angle θ i and the rock mass structural friction angle ψ, where i ≥ 1;

[0006] The strike direction α of the rock formation structural surface i Subtract the slope strike α0 to obtain the relative strike β of the rock formation surface. i ;

[0007] Draw a reference plane circle with a radius R, and define the coordinates of the center O of the reference plane circle as x=0, y=0;

[0008] A friction circle is drawn within the reference plane circle. The friction circle is concentric with the reference plane circle. The radius of the friction circle is R f =Rcosψ;

[0009] Draw a slope projection circle within the reference plane circle, the coordinates of the center O0 of the slope projection circle can be obtained according to x=Rtanθ0*cosα0, y=Rtanθ0*sinα0, and the radius r0 of the slope projection circle can be obtained according to r0=R / cosθ0;

[0010] Draw a plurality of rock formation structure surface large circles within the reference plane circle, and the center of the rock formation structure surface large circle is O i The coordinates of can be obtained according to x = Rtanθ i *cosβ i , y = Rtanθ i *sinβ i The radius r of the great circle of the rock structure surface is obtained. i According to r i =R / cosθ i get;

[0011] According to θ0≥θ i The intersection area between the slope projection circle and the friction circle is judged as a possible sliding area according to the principle of ≥ψ;

[0012] When i>1, if the intersection of any two great circles of the rock layer structural surfaces falls within the possible sliding area, it is determined that the slope may be unstable due to sliding.

[0013] Preferably, the method further comprises: when i=1, drawing a slope tendency line, the slope tendency line being a line connecting the midpoint of the arc segment where the slope projection circle falls within the reference plane circle and the center of the reference plane circle; and drawing a first auxiliary line with an angle of 30° to the slope tendency line on one side of the slope tendency line, and drawing a second auxiliary line with an angle of 30° to the slope tendency line on the other side of the slope tendency line;

[0014] Draw a rock formation structural surface inclination line, wherein the rock formation structural surface inclination line is a line connecting the midpoint of the arc segment of the rock formation structural surface great circle falling within the reference plane circle and the center of the reference plane circle;

[0015] If the inclination line of the rock layer structure surface falls within the fan-shaped area formed by the first auxiliary line and the second auxiliary line, and the great circle of the rock layer structure surface when i=1 has an arc section within the possible sliding area, it is determined that the slope may be unstable due to sliding.

[0016] Preferably, in “obtaining the direction α0 and the inclination θ0 of the slope, the direction α0 of the plurality of rock formation structural surfaces i and the inclination angle θ i and the rock structure friction angle ψ, where i ≥ 1, the direction α0 and inclination θ0 of the slope, the direction α0 of the rock structure surface i and the inclination angle θ i And the rock structure friction angle ψ can be obtained through actual measurement.

[0017] Preferably, in “the direction α of the rock formation structural surface is changed i Subtract the slope strike α0 to obtain the relative strike β of the rock formation surface. i", it also includes the inclination angle θ of the rock structure surface i Size, the strike of multiple groups of rock structure surfaces obtained i and the inclination angle θ i Sort from smallest to largest.

[0018] Preferably, in “drawing a reference plane circle with a radius R and defining the coordinates of the center O of the reference plane circle as x=0, y=0”, R=1m.

[0019] As described above, a method for judging the instability of a rock slope of the present invention has the following beneficial effects: by processing the direction of the rock layer structural surface to obtain the relative direction of the relative slope, the relative direction of the slope itself is always due north (that is, β0=0), and the relative directions of all rock layer structural surfaces are all turned from due north by a relative angle (that is, β i ); therefore, when analyzing and judging the rock formation structure surface, only one reference plane circle needs to be drawn as a reference, which can greatly reduce the workload. At the same time, multiple groups of rock formation structure surface data can be analyzed and judged in batches, so the analysis and judgment is simple and fast; and the present invention can not only analyze and judge multiple groups of rock formation structure surfaces, but also analyze and judge a single group of rock formation structure surfaces, and the judgment method is more comprehensive and fast. BRIEF DESCRIPTION OF THE DRAWINGS

[0020] Figure 1 Displayed is a three-dimensional structural diagram of the slope projection great circle provided by the present invention.

[0021] Figure 2 Shown is a schematic diagram of a great circle analysis of multiple groups of rock stratum structural surfaces provided by the present invention.

[0022] Figure 3 Shown is a schematic diagram of a great circle analysis of a single group of rock formation structural surfaces provided by the present invention.

[0023] Description of Reference Numerals

[0024] 100 Datum plane circle

[0025] 200 Friction circle

[0026] 300 Slope projection great circle

[0027] 400 Slope

[0028] 501 First rock structure surface large circle

[0029] 502 The second rock structure surface is a large circle

[0030] 503 The third rock structure surface big circle

[0031] 600 Possible sliding area

[0032] 700 Slope trend line

[0033] 701 First auxiliary line

[0034] 702 Second auxiliary line

[0035] 800 Dip line of rock structure surface DETAILED DESCRIPTION

[0036] The terms “first” and “second” and the like in the specification and drawings of the present invention are used to distinguish different objects, or to distinguish different processing of the same object, rather than to describe a specific order of the objects.

[0037] In addition, the terms "including" and "having" and any variations thereof mentioned in the description of the present invention are intended to cover non-exclusive inclusions. For example, a process, method, system, product or device comprising a series of steps or units is not limited to the listed steps or units, but may optionally include other steps or units that are not listed, or may optionally include other steps or units that are inherent to these processes, methods, products or devices.

[0038] It should be mentioned before discussing exemplary embodiments in more detail that some exemplary embodiments are described as processes or methods depicted as flow charts. Although the flow charts describe various operations (or steps) as sequential processes, many operations therein can be implemented in parallel, concurrently or simultaneously. In addition, the order of various operations can be rearranged. The process can be terminated when its operation is completed, but can also have additional steps not included in the accompanying drawings. The process can correspond to methods, functions, procedures, subroutines, subprograms, etc. In addition, the embodiments in the present invention and the features in the embodiments can be combined with each other without conflict.

[0039] It should be noted that, in the embodiments of the present invention, words such as "exemplary" or "for example" are used to indicate examples, illustrations or descriptions. Any embodiment or design described as "exemplary" or "for example" in the embodiments of the present invention should not be interpreted as being more preferred or more advantageous than other embodiments or designs. Specifically, the use of words such as "exemplary" or "for example" is intended to present related concepts in a specific way.

[0040] See also Figures 1 to 3 It should be noted that the illustrations provided in this embodiment are only used to illustrate the basic concept of the present invention in a schematic manner, and the drawings only show components related to the present invention rather than being drawn according to the number, shape and size of components in actual implementation. In actual implementation, the type, quantity and proportion of each component may be changed arbitrarily, and the component layout may also be more complicated.

[0041] In the prior art, when analyzing the rock formation structure surface, since the orientation of each group of rock formation structure surfaces is different, a reference plane circle needs to be drawn for each group of rock formation structure surface data as a reference, which is labor-intensive and complex to analyze. Therefore, the present invention provides a method that can simply and quickly determine the instability of rock slopes, which specifically includes the following steps:

[0042] S1. Obtain the direction α0 and inclination θ0 of the slope, and the direction α of multiple groups of rock structure surfaces i and the inclination angle θ i and the rock mass structural friction angle ψ, where i ≥ 1;

[0043] Specifically, in step S1, the inspection personnel can use professional equipment to inspect the direction α0 and inclination θ0 of the slope, the direction α i and the inclination angle θ i The rock structure friction angle ψ is obtained through actual measurement; that is, the direction α0 and inclination θ0 of the slope to be tested are measured by professional equipment, and the direction α of the rock structure surface at the corresponding position is measured at the positions of multiple rock structure surfaces. i and the inclination angle θ i , so as to obtain the strike α of multiple groups of rock structure surfaces i and the inclination angle θ i Data, that is, in this step S1, i=1·····n, n≥1.

[0044] Furthermore, in order to facilitate the subsequent analysis of the obtained slope strike α0 and inclination θ0, the strike α0 of multiple rock formation structural surfaces, i and the inclination angle θ i and rock mass structure friction angle ψ for analysis and processing. Preferably, in this embodiment, step S1 further includes step S101: obtaining the strike α0 and inclination θ0 of the slope, the strike α0 of the plurality of rock structure surfaces, and the inclination θ0 of the plurality of rock structure surfaces. i and the inclination angle θ i and the rock mass structural friction angle ψ are input into the computer processing system;

[0045] S2, the direction of the rock formation structural surface α i Subtract the slope strike α0 to obtain the relative strike β of the rock formation surface. i ;

[0046] Specifically, step S2 can be operated by a computer processing system, that is, the computer processing system calculates the direction α0 and the inclination θ0 of the slope and the direction α0 of the multiple rock formation structural surfaces according to the input. i and the inclination angle θ i The relative strike β of the rock structure surface is obtained by processing i , that is, β i =αi -α0.

[0047] Furthermore, in order to facilitate the subsequent analysis of the strike direction of multiple groups of rock structure surfaces i and the inclination angle θ i The method of performing rapid analysis and judgment includes, before step S2, sorting the strike αi and the dip angle θi of the obtained multiple groups of rock formation structural surfaces from small to large according to the dip angle θi of the rock formation structural surface. Specifically, the strike αi and the dip angle θi of the obtained multiple groups of rock formation structural surfaces can be sorted from small to large according to the dip angle θi of the rock formation structural surface by a computer processing system. Then, the strike and dip arrays (αi) of the multiple groups of rock formation structural surfaces arranged from small to large are sorted. i ,θ i ) minus the slope strike α0, and then we can get the relative strike and dip arrays of multiple rock structure planes arranged from small to large (β i ,θ i ), so that the relative strike and dip array of the desired rock structure surface can be quickly selected or retrieved through the computer processing system later (β i ,θ i ) for analysis. For example, the relative strike and dip arrays (β i ,θ i ) is divided into three intervals, namely, the small value interval, the middle value interval and the large value interval. The detection personnel can first focus on selecting the relative strike and dip arrays of multiple groups of rock structure surfaces located in the middle value interval (β i ,θ i ) for analysis and judgment, for example, θ i ≥θ0 or θ i The array with ≤ψ is eliminated, because at this time the rock layer is steep or too gentle, the slope is basically stable, and the large circle of the rock layer structure surface on the reference plane circle falls outside the sliding area, so that the critical point array of possible landslide can be found quickly, and the array outside the critical point can be determined to be stable, thus avoiding the detection of groups of data, which can greatly reduce the number and workload of detection.

[0048] S3, drawing a reference plane circle 100 with a radius R, and defining the coordinates of the center O of the reference plane circle 100 as x=0, y=0;

[0049] Specifically, for the convenience of calculation, Figures 1 to 3 As shown, in this embodiment, the radius R of the reference plane circle 100 is 1 m. Step S3 can be performed by a computer processing system.

[0050] S4, drawing a friction circle 200 within the reference plane circle 100, wherein the friction circle 200 is concentric with the reference plane circle 100, and the radius R of the friction circle 200 is f =Rcosψ;

[0051] Specifically, step S4 can be performed by a computer processing system.

[0052] S5. Draw a slope projection circle 300 within the reference plane circle 100. The coordinates of the center O0 of the slope projection circle 300 can be obtained according to x=Rtanθ0*cosα0, y=Rtanθ0*sinα0. The radius r0 of the slope projection circle 300 can be obtained according to r0=R / cosθ0.

[0053] Specifically, Figure 1 As shown in the figure, it is a three-dimensional structure diagram of the slope projection circle (the slope α0 and the inclination angle θ0 in step S5 are replaced by the strike α of the rock layer structure surface). i and the inclination angle θ i is the three-dimensional structure diagram of the rock structure surface). Figure 1 It can be seen from the figure that the slope projection circle 300 is the projection of the slope 400 within the reference plane circle 100. Specifically, step S5 can be performed by a computer processing system.

[0054] S6, draw a plurality of rock layer structure surface large circles within the reference plane circle 100, the center of each of the rock layer structure surface large circles is O i The coordinates of can be obtained according to x = Rtanθ i *cosβ i , y = Rtanθ i *sinβ i The radius r of the great circle of the rock structure surface is obtained. i According to r i =R / cosθ i get;

[0055] Specifically, step S6 can also be performed by a computer processing system, that is, the computer processing system calculates the inclination angle θ of the rock formation structure surface according to the input i The relative strike of the rock structure surface obtained by processing β i Calculate the corresponding great circle of the rock structure surface.

[0056] S7, according to θ0≥θ i The intersection area between the slope projection circle 300 and the friction circle 200 is judged as a possible sliding area according to the principle of ≥ψ;

[0057] Specifically, Figure 2 and Figure 3As shown, within the reference plane circle 100, the slope projection circle 300 intersects with the friction circle 200, and the slope projection circle 300 divides the friction circle 200 into two closed areas. i ≥ψ, which closed area is the possible sliding area 600; illustratively, in this embodiment, according to Figure 2 and Figure 3 It can be determined that the closed area separated by the slope projection circle 300 from the friction circle 200 and far from the center of the reference plane circle 100 is the possible sliding area 600 .

[0058] S8. When i>1, if the intersection of any two great circles of the rock layer structural surfaces falls within the possible sliding area 600, it is determined that the possible sliding area 600 is unstable.

[0059] For example, Figure 2 As shown, in Figure 2 501 is the first rock layer structural surface great circle (i.e., the first rock layer structural surface great circle falls within the reference plane circle), 502 is the second rock layer structural surface great circle, according to Figure 2 It can be seen that the intersection of the first rock layer structural surface great circle 501 and the second rock layer structural surface great circle 502 falls within the possible sliding area 600, and it is determined that the possible sliding area 600 is unstable.

[0060] The beneficial effect of the method for judging the instability of rock slopes of the present invention is as follows: in the present invention, the relative direction of the relative slope is obtained by processing the direction of the rock structure surface, so that the directions of all rock structure surfaces relative to the slope are consistent, so that when analyzing and judging the rock structure surface, only one reference plane circle needs to be drawn as a reference, which can greatly reduce the workload. At the same time, batch analysis and judgment of multiple groups of rock structure surface data can also be carried out, and the analysis and judgment is simple and fast.

[0061] Furthermore, in this embodiment, the method further comprises the steps of:

[0062] S9, when i=1, draw a slope tendency line 700, which is a line connecting the midpoint of the arc segment of the slope projection circle 300 falling within the reference plane circle 100 and the center of the reference plane circle 100; and draw a first auxiliary line 701 at an angle of 30° with the slope tendency line 700 on one side of the slope tendency line 700, and draw a second auxiliary line 702 at an angle of 30° with the slope tendency line 700 on the other side of the slope tendency line 700;

[0063] Draw a rock formation structural surface inclination line 800, which is a line connecting the midpoint of the arc segment of the rock formation structural surface great circle falling within the reference plane circle 100 and the center of the reference plane circle 100;

[0064] If the inclination line 800 of the rock formation structure surface falls within the fan-shaped area formed by the first auxiliary line 701 and the second auxiliary line 702, and the great circle of the rock formation structure surface when i=1 has an arc section within the possible sliding area 600, then it is determined that the possible sliding area 600 is unstable.

[0065] Specific as Figure 3 As shown, in Figure 3 503 is the third great circle of the rock formation structure surface (i.e., according to the inclination angle θ of a group of rock formation structure surfaces i and relative trend β i A great circle of rock structure surface drawn by calculation) is drawn according to Figure 3 It can be seen that the midpoint of the arc segment of the third rock layer structural surface great circle 503 falling within the reference plane circle 100 and the midpoint of the arc segment of the slope projection great circle 300 falling within the reference plane circle 100 are on the same horizontal straight line, so the inclination line of the third rock layer structural surface great circle 503, i.e., the rock layer structural surface inclination line 800, and the inclination line of the slope projection great circle, i.e., the slope inclination line 700, coincide with each other. Then, the inclination line of the third rock layer structural surface falls within the fan-shaped area formed by the first auxiliary line 701 and the second auxiliary line 702 of the slope inclination line 700, and according to Figure 3 It can also be known that the third rock layer structural surface great circle 503 also has an arc section within the possible sliding area 600, so it is determined that the possible sliding area 600 is unstable.

[0066] Therefore, through step S9, the method for judging the instability of rock slope of the present invention can also analyze and judge a single group of rock layer structural surfaces.

[0067] In summary, the method for judging the instability of rock slopes of the present invention is simple and fast in analysis and judgment, can greatly reduce the workload, and can analyze and judge not only multiple groups of rock layer structural surfaces, but also a single group of rock layer structural surfaces, and the judgment method is more comprehensive. Therefore, the present invention effectively overcomes various shortcomings in the prior art and has a high industrial utilization value.

[0068] The above embodiments are merely illustrative of the principles and effects of the present invention, and are not intended to limit the present invention. Anyone familiar with the art may modify or alter the above embodiments without departing from the spirit and scope of the present invention. Therefore, all equivalent modifications or alterations made by a person of ordinary skill in the art without departing from the spirit and technical concept disclosed by the present invention shall still be covered by the claims of the present invention.

Claims

1. A method for determining whether a rock slope is unstable, characterized in that: Obtain the direction α0 and inclination θ0 of the slope, and the direction α of multiple groups of rock structure surfaces i and the inclination angle θ i and the rock mass structural friction angle ψ, where i ≥ 1; The strike direction α of the rock formation structural surface i Subtract the slope strike α0 to obtain the relative strike β of the rock formation surface. i ; Draw a reference plane circle with a radius R, and define the coordinates of the center O of the reference plane circle as x=0, y=0; A friction circle is drawn within the reference plane circle. The friction circle is concentric with the reference plane circle. The radius of the friction circle is R f =Rcosψ; Draw a slope projection circle within the reference plane circle, the coordinates of the center O0 of the slope projection circle can be obtained according to x=Rtanθ0*cosα0, y=Rtanθ0*sinα0, and the radius r0 of the slope projection circle can be obtained according to r0=R / cosθ0; Draw a plurality of rock formation structure surface large circles within the reference plane circle, and the center of the rock formation structure surface large circle is O i The coordinates of can be obtained according to x = Rtanθ i *cosβ i , y = Rtanθ i *sinβ i The radius r of the great circle of the rock structure surface is obtained. i According to r i =R / cosθ i get; According to θ0≥θ i The intersection area between the slope projection circle and the friction circle is judged as a possible sliding area according to the principle of ≥ψ; When i>1, if the intersection of any two great circles of the rock layer structural surfaces falls within the possible sliding area, it is determined that the slope may be unstable due to sliding.

2. A method for determining rock slope instability according to claim 1, characterized in that: Also includes: When i=1, draw a slope tendency line, which is a line connecting the midpoint of the arc segment where the slope projection circle falls within the reference plane circle and the center of the reference plane circle; draw a first auxiliary line with an angle of 30° to the slope tendency line on one side of the slope tendency line, and draw a second auxiliary line with an angle of 30° to the slope tendency line on the other side of the slope tendency line; Draw a rock formation structural surface inclination line, wherein the rock formation structural surface inclination line is a line connecting the midpoint of the arc segment of the rock formation structural surface great circle falling within the reference plane circle and the center of the reference plane circle; If the inclination line of the rock layer structure surface falls within the fan-shaped area formed by the first auxiliary line and the second auxiliary line, and the great circle of the rock layer structure surface when i=1 has an arc section within the possible sliding area, it is determined that the slope may be unstable due to sliding.

3. A method for determining rock slope instability according to claim 1, characterized in that: In the step of obtaining the direction α0 and the inclination θ0 of the slope, the direction α0 of multiple groups of rock formation structural surfaces, i and the inclination angle θ i and the rock structure friction angle ψ, where i ≥ 1, the direction α0 and inclination θ0 of the slope, the direction α0 of the rock structure surface i and the inclination angle θ i And the rock structure friction angle ψ can be obtained through actual measurement.

4. A method for determining rock slope instability according to claim 1, characterized in that: In "the direction of the rock formation structure surface α i Subtract the slope strike α0 to obtain the relative strike β of the rock formation surface. i ", it also includes the inclination angle θ of the rock structure surface i Size, the strike of multiple groups of rock structure surfaces obtained i and the inclination angle θ i Sort from smallest to largest.

5. A method for determining rock slope instability according to claim 1, characterized in that: In "drawing a reference plane circle with a radius R and defining the coordinates of the center O of the reference plane circle as x=0, y=0", R=1m.

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