A method for judging rock slope instability

Abstract

The present invention provides a method for judging the instability of a rock slope, comprising obtaining the direction α0 and the inclination θ0 of the slope, the direction α i and the inclination angle θ i and the rock mass structural friction angle ψ; the strike of the rock layer structural surface α i Subtract the slope strike α0 to obtain the relative strike β of the rock formation surface i ; Draw a reference plane circle with radius R, and define the center coordinates of the reference plane circle as x=0, y=0; draw a friction circle inside the reference plane circle, the friction circle is concentric with the reference plane circle, and the radius of the friction circle is R f =Rcosψ; draw a slope projection circle in the reference plane circle, the coordinates of its center O0 can be obtained according to x=Rtanθ0*cosα0, y=Rtanθ0*sinα0, and its radius r0 can be obtained according to r0=R / cosθ0; draw multiple rock layer structural surface circles in the reference plane circle, the center O i The coordinates can be obtained according to x = Rtanθ i *cosβ i , y=Rtanθ i *sinβ i We get the radius r i According to r i =R / cosθ i According to θ0≥θ i Using the principle of ≥ψ, the intersection of the slope's projected great circle and the friction circle is considered a possible sliding zone. When i > 1, if the intersection of any two great circles of rock stratum structural surfaces falls within the possible sliding zone, the slope is considered potentially unstable. This procedure allows for the development of a program to implement automated intelligent identification software, resolving the existing challenges of difficult-to-understand, complex analysis, and significant workload associated with rock slope stability assessment.

Description

TECHNICAL FIELD

[0001] The present application relates to the technical field of slope engineering, in particular to a method for judging instability of rock slope. BACKGROUND

[0002] Almost every water conservancy and hydropower, geotechnical engineering and other engineering will encounter slope stability analysis problem, slope stability evaluation is an important analysis decision basis for slope design, slope stability state judgment, slope reinforcement and management, especially in the early project planning, site reconnaissance, preliminary scheme, a small amount of work and can quickly judge the slope stability state method is particularly concerned. At present, the existing technology usually uses the stereographic projection method to judge the stability of rock slope, but the traditional stereographic projection method is not easy to understand and analyze, the process is complex and the workload is large. SUMMARY

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

[0004] To achieve the above-mentioned purpose and other related purposes, the present application provides a method for judging instability of rock slope, comprising:

[0005] obtaining the strike α0 and the inclination θ0 of the slope, the strike αi and the inclination θi of a plurality of rock structure surfaces, and the rock mass structure friction angle ψ, wherein i≥1; i i and the inclination θ

[0006] Subtracting the strike α0 of the slope from the strike αi of the rock structure surface to obtain the relative strike βi of the rock structure surface; i i ;

[0007] Drawing a reference plane circle through a radius R, and defining the coordinates of the center O of the reference plane circle as x=0, y=0;

[0008] Drawing a friction circle in the reference plane circle, the friction circle is concentric with the reference plane circle, and the radius R of the friction circle is Rcosψ; f

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

[0010] ​​​A plurality of rock structure surface great circles are drawn in the reference plane circle, the center O of the rock structure surface great circles i The coordinates of the center O can be obtained according to x=Rtanθ i *cosβ i , y=Rtanθ i *sinβ i The radius r i of the rock structure surface great circles can be obtained according to r i =R / cosθ i ;

[0011] The intersection region of the slope projection great circle and the friction circle is determined as a possible sliding region according to the principle that θ0≥θ i ≥ψ;

[0012] When i>1, if the intersection point of any two rock structure surface great circles falls in the possible sliding region, it is determined that the slope is likely to slide and be unstable.

[0013] Preferably, when i=1, a slope tendency line is drawn, the slope tendency line is a line connecting the midpoint of the circular arc segment of the slope projection great circle falling in the reference plane circle and the center of the reference plane circle; and a first auxiliary line with an angle of 30° with the slope tendency line is drawn on one side of the slope tendency line, and a second auxiliary line with an angle of 30° with the slope tendency line is drawn on the other side of the slope tendency line.

[0014] A rock structure surface tendency line is drawn, the rock structure surface tendency line is a line connecting the midpoint of the circular arc segment of the rock structure surface great circle falling in the reference plane circle and the center of the reference plane circle.

[0015] If the rock structure surface tendency line falls in the sector region formed by the first auxiliary line and the second auxiliary line, and the rock structure surface great circle when i=1 has a circular arc segment falling in the possible sliding region, it is determined that the slope is likely to slide and be unstable.

[0016] Preferably, in the "obtaining the strike α0 and the inclination θ0 of the slope, a plurality of sets of strike α i and inclination θ i of rock structure surfaces, and the rock mass structure friction angle ψ, wherein i≥1", the strike α0 and the inclination θ0 of the slope, the strike α i and the inclination θ i of the rock structure surface, and the rock mass structure friction angle ψ can be obtained by actual measurement.

[0017] Preferably, in the "subtracting the strike α0 of the slope from the strike α i of the rock structure surface to obtain the relative strike β i of the rock structure surface".and the dip angle θ of the rock structure surface i in ascending order. i and the dip angle θ of the rock structure surface i in ascending order.

[0018] Preferably, in the "drawing a reference plane circle through a radius R, the coordinates of the center O of the reference plane circle are x=0, y=0", the R=1m.

[0019] As described above, the method for judging the instability of rock slope of the present application has the following beneficial effects: the relative strike of the rock structure surface is obtained by processing the strike of the rock structure surface, then the relative strike of the slope itself is always the north direction (i.e. β0=0), and the relative strike of all rock structure surfaces is turned a relative angle (i.e. β i ) from the north direction; thus when analyzing and judging the rock structure surface, only one reference plane circle is drawn as a reference, so as to greatly reduce the workload, and at the same time, the multiple sets of rock structure surface data can be analyzed and judged in batches, so that the analysis and judgment are simple and fast; and the present application can not only analyze and judge multiple sets of rock structure surfaces, but also analyze and judge single set of rock structure surface, and the judgment method is more comprehensive and fast. BRIEF DESCRIPTION OF DRAWINGS

[0020] Figure 1 A three-dimensional structure diagram of the slope projection great circle provided by the present application is shown.

[0021] Figure 2 A multiple set of rock structure surface great circle analysis schematic diagram provided by the present application is shown.

[0022] Figure 3 A single set of rock structure surface great circle analysis schematic diagram provided by the present application is shown.

[0023] REFERENCE SIGNS

[0024] 100 reference plane circle

[0025] 200 friction circle

[0026] 300 slope projection great circle

[0027] 400 slope

[0028] 501 first rock structure surface great circle

[0029] 502 second rock structure surface great circle

[0030] 503 third rock structure surface great circle

[0031] 600 possible sliding area

[0032] 700 slope tendency line

[0033] 701 first auxiliary line

[0034] 702 second auxiliary line

[0035] 800 rock structure plane tendency line DETAILED DESCRIPTION

[0036] The terms "first" and "second" and the like in the description and in the claims of the present application are used for distinguishing between similar objects, or to distinguish between the same objects for different claims and are not necessarily used to describe a particular sequential or chronological order. These terms will be understood by those of ordinary skill in the art, and the absence of such terms in certain places will not preclude their use in others.

[0037] In addition, the terms "comprise", "comprising", "have", "hasing", "including", and "includes" as well as any variations thereof in the present description and in the claims are intended to cover a non-exclusive inclusion. For example, a process, method, article, or apparatus that comprises a list of steps or elements is not necessarily limited to the listed steps or elements, but can include other not-listed steps or elements, or can further include steps or elements inherent in such process, method, article, or apparatus.

[0038] Before some example embodiments are discussed in further detail, it should be appreciated that some example embodiments are described as processes or methods depicted as flowcharts. Although the processes are described in a certain order, many of the operations can be performed concurrently, in parallel, or simultaneously. In addition, the order of the operations can be re-arranged. The processes can be terminated when their operations are completed, but can also have additional steps not included in the figure. The processes can correspond to methods, functions, procedures, subroutines, subprograms, etc. In addition, embodiments and features of the present application can be combined with each other as long as there is no conflict.

[0039] It should be noted that the terms "exemplary" and / or "example" are used herein to mean "serving as an example, instance, or illustration," and not necessarily "preferred" over other examples. Any implementation of the described embodiments in which a specific number of steps, or means to achieve the steps, is specified in the specification and / or claims should be considered only as an example and not necessarily a limiting factor.

[0040] Reference will now be made to Figures 1 to 3 It should be noted that the figures provided in the present embodiment only schematically illustrate the basic concept of the present application, and thus the figures only show the components related to the present application, rather than being drawn according to the number, shape, and size of the components in actual implementation. The shape, number, and size of the components in actual implementation can be arbitrarily changed, and the layout pattern of the components can be more complicated.

[0041] In the prior art, when analyzing rock formation surface, because each set of rock formation surface data has a different orientation, a reference plane circle needs to be drawn for each set of rock formation surface data as a reference, which is labor-intensive and complex to analyze. Therefore, the present invention provides a method for simply and quickly determining rock slope instability, 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 measure 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 α 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 rock mass structure friction angle ψ. 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 strike α of the rock formation structure surface 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 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 α of the multiple groups of rock structure surfaces obtained, i and the inclination angle θ i For rapid analysis and judgment, before this step S2, it also includes: sorting the strike αi and 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 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 angle 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 in sequence, and then we can get the relative strike and dip arrays of multiple groups of rock structure surfaces 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 in the middle value interval (β i ,θ i ) to analyze and judge, for example, θ i ≥θ0 or θ i The array with ≤ψ is eliminated because the rock layer is steep or too gentle at this time, and the slope is basically stable. The large circle of the rock layer structure surface on the reference plane circle falls outside the sliding zone, so the critical point array of possible landslide can be found quickly. The arrays outside the critical points can be determined to be stable, thus avoiding the need to test data in groups, which can greatly reduce the number of tests and workload.

[0048] S3. Draw a reference plane circle 100 with a radius R, and define 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, draw a friction circle 200 in the reference plane circle 100, the friction circle 200 is concentric with the reference plane circle 100, the radius R of the friction circle 200 is Rcosψ; f = Rcosψ;

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

[0052] S5, draw a slope projection great circle 300 in the reference plane circle 100, the coordinates of the center O0 of the slope projection great circle 300 can be obtained according to x=Rtanθ0*cosα0, y=Rtanθ0*sinα0, and the radius r0 of the slope projection great circle 300 can be obtained according to r0=R / cosθ0;

[0053] Specifically, as shown in the three-dimensional structure diagram of the slope projection great circle (the strike α0 and the inclination θ0 of the slope in this step S5 are replaced by the strike α i and the inclination θ i of the rock structure surface), it can be seen in the figure that the slope projection great circle 300 is the projection of the slope 400 in the reference plane circle 100. Specifically, the step S5 can be operated by a computer processing system.

[0054] S6, draw a plurality of rock structure surface great circles in the reference plane circle 100, the coordinates of the center O i of the rock structure surface great circle can be obtained according to x=Rtanθ i *cosβ i , y=Rtanθ i *sinβ i , and the radius r i of the rock structure surface great circle can be obtained according to r i =R / cosθ i ;

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

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

[0057] Specifically, as shown in the three-dimensional structure diagram of the rock structure surface great circle (the strike α Figure 2 and the inclination θ Figure 3 of the rock structure surface in this step S6 are replaced by the strike α Figure 2 and the inclination θ Figure 3 of the rock structure surface), it can be seen in the figure that the rock structure surface great circle is the projection of the rock structure surface in the reference plane circle 100.As shown, within the reference plane circle 100, the slope projection circle 300 intersects the friction circle 200, and the slope projection circle 300 divides the friction circle 200 into two closed areas. According to θ0≥θ i ≥ψ principle to determine 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 away 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 effects of the method for judging the instability of rock slopes according to the present invention are 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 direction of all rock structure surfaces relative to the slope is 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 steps are also included:

[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 that falls within the reference plane circle 100 and the center of the reference plane circle 100; and draw a first auxiliary line 701 on one side of the slope tendency line 700 at an angle of 30° to the slope tendency line 700, and draw a second auxiliary line 702 on the other side of the slope tendency line 700 at an angle of 30° to 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 rock structure surface tendency line 800 falls within the sector formed by the first auxiliary line 701 and the second auxiliary line 702, and the circular arc segment of the rock structure surface great circle when i=1 falls within the possible sliding area 600, it is determined that the possible sliding area 600 is unstable.

[0065] Specifically as Figure 3 shown, in Figure 3 , 503 is a third rock structure surface great circle (i.e. a rock structure surface great circle calculated and drawn according to a set of rock structure surface inclination angles θ i and relative strikes β i ), according to Figure 3 , it can be known that the midpoint of the circular arc segment of the third rock structure surface great circle 503 falling within the reference plane circle 100 and the midpoint of the circular 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 tendency line of the third rock structure surface great circle 503, i.e. the rock structure surface tendency line 800, and the tendency line of the slope projection great circle, i.e. the slope tendency line 700, are coincident, and the tendency line of the third rock structure surface falls within the sector formed by the first auxiliary line 701 and the second auxiliary line 702 of the slope tendency line 700, and according to Figure 3 , it can also be known that the circular arc segment of the third rock structure surface great circle 503 also falls within the possible sliding area 600, so it is determined that the possible sliding area 600 is unstable.

[0066] Therefore, through the step S9, the method for judging the instability of the rock slope of the present application can also analyze and judge a single set of rock structure surfaces.

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

[0068] The above embodiments only exemplarily illustrate the principles and effects of the present application, and are not used to limit the present application. Any person skilled in the art can modify or change the above embodiments without departing from the spirit and scope of the present application. Therefore, all equivalent modifications or changes completed by those skilled in the art without departing from the spirit and technical thought of the present application should be covered by the claims of the present application.

Claims

1. A method for determining rock slope instability, characterized by: Obtain the direction α0 and inclination θ0 of the slope, 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 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; Draw a friction circle 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 are obtained according to x=Rtanθ0*cosα0, y=Rtanθ0*sinα0, and the radius r0 of the slope projection circle is obtained according to r0=R / cosθ0; Draw multiple rock layer structure surface circles within the reference plane circle, and the center of the rock layer structure surface circle is O i The coordinates of 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 based on the principle of ≥ψ; When i>1, if the intersection of any two great circles of the rock stratum 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 of the slope projection circle falling within the reference plane circle and the center of the reference plane circle; and 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, where 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 method of obtaining the direction α0 and inclination θ0 of the slope, the direction α0 of multiple groups of rock layer structural surfaces, i and the inclination angle θ i and rock mass structural 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 is obtained through actual measurement.

4. A method for determining rock slope instability according to claim 1, characterized in that: In the above method, the strike direction of the rock structure surface is 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 α of the obtained multiple rock formation structural surfaces i and the inclination angle θ i Sort from smallest to largest.

5. The 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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