CN114266088B - Slope stability prediction method - Google Patents
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Abstract
The application relates to a slope stability prediction method, which comprises the following steps: acquiring the volume weight, cohesion, friction angle, slope height and void pressure ratio of the slope to be predicted; determining a geometric prediction coefficient according to the slope angle and the slope height; determining a mechanical prediction coefficient according to the volume weight, the cohesive force, the friction angle and the void pressure ratio; and predicting the stability of the slope to be predicted according to the volume weight, the cohesive force, the friction angle, the geometric prediction coefficient and the mechanical prediction coefficient. The slope stability prediction method provided by the application can be used for determining the geometric prediction coefficient according to the slope angle and the slope height of the slope to be predicted, determining the mechanical prediction coefficient according to the volume weight, the cohesion, the friction angle and the void pressure ratio, and predicting the stability of the slope to be predicted according to the volume weight, the cohesion, the friction angle, the geometric prediction coefficient and the mechanical prediction coefficient, so that the feasible prediction method for the slope stability is provided.
Description
Technical Field
The invention relates to the technical field of geotechnical engineering investigation design, in particular to a slope stability prediction method.
Background
The slope stability refers to the stability degree of the slope rock and soil mass under the conditions of a certain slope height and a certain slope angle. According to the cause, the side slopes are divided into natural side slopes and artificial side slopes, and the artificial side slopes are divided into excavation side slopes, dyke side slopes and the like. Unstable natural slopes and artificial slopes with excessive design slope angles often slide or collapse under the action of gravity, water pressure, vibration force and other external forces of rock and soil bodies.
The large-scale damage of the side slope rock and soil can cause traffic interruption, building collapse, river blockage and reservoir siltation, and huge losses are brought to lives and properties of people.
Therefore, the research of the slope stability prediction method has important significance.
Disclosure of Invention
First, the technical problem to be solved
In view of the above-mentioned drawbacks and shortcomings of the prior art, the present invention provides a slope stability prediction method.
(II) technical scheme
In order to achieve the above purpose, the main technical scheme adopted by the invention comprises the following steps:
A slope stability prediction method, the method comprising:
s101, acquiring the volume weight, cohesion, friction angle, slope height and void pressure ratio of a slope to be predicted;
S102, determining a geometric prediction coefficient according to the slope angle and the slope height;
s103, determining a mechanical prediction coefficient according to the volume weight, the cohesive force, the friction angle and the void pressure ratio;
s104, predicting the stability of the slope to be predicted according to the volume weight, the cohesive force, the friction angle, the geometric prediction coefficient and the mechanical prediction coefficient.
Optionally, the S102 includes:
s102-1, determining the length l of a side slope to be predicted;
S102-2, determining a comparison height h 0 = l arcsin alpha according to the length of the side slope to be predicted and the side slope angle, wherein alpha is the side slope angle;
s102-3, determining a geometric prediction coefficient according to the difference between the comparison height and the slope height.
Optionally, the step S102-3 includes:
if the difference between the comparison height and the side slope height is not greater than the height difference threshold value, determining the geometric prediction coefficient as
Optionally, the step S102-3 includes:
if the difference between the comparison height and the slope height is greater than a height difference threshold, determining that the geometric prediction coefficient is
Wherein h is the height of the side slope, and beta is the unit height influence coefficient.
Optionally, before S102, the method further includes:
S201, setting a plurality of test points at different positions on a side slope to be predicted;
S202, acquiring cohesive force C i, geological density rho i and an included angle alpha i between the geological density rho i and the horizontal plane corresponding to each test point, wherein i is a test point mark;
s203, determining a first ratio of each test point
S204, determining a height difference threshold delta 1 according to the included angle alpha i between each test point and the horizontal plane and the first ratio delta i of each test point.
Optionally, the height difference threshold
Optionally, after S204, the method further includes:
the variance of the ratio of the unit height influence coefficient β=Δ 1 to all test points is determined.
Optionally, the step S103 includes:
wherein, C is cohesive force, The friction angle is r is the void pressure ratio, delta is the volume weight, and omega is the preset mechanical reduction coefficient.
Optionally, the S104 includes:
S104-1 shear Strength Wherein/>The friction angle, C is cohesive force, sigma is normal pressure of the shear plane;
s104-2, predicting the stability of the slope to be predicted according to the volume weight, the shear strength, the geometric prediction coefficient and the mechanical prediction coefficient.
Optionally, the step S104-2 includes:
s104-2-1, calculating a second ratio Wherein delta is the volume weight;
S104-2-2，
s104-2-3, if the third value is larger than a preset threshold value, predicting that the slope to be predicted is unstable.
(III) beneficial effects
The application relates to a slope stability prediction method, which comprises the following steps: acquiring the volume weight, cohesion, friction angle, slope height and void pressure ratio of the slope to be predicted; determining a geometric prediction coefficient according to the slope angle and the slope height; determining a mechanical prediction coefficient according to the volume weight, the cohesive force, the friction angle and the void pressure ratio; and predicting the stability of the slope to be predicted according to the volume weight, the cohesive force, the friction angle, the geometric prediction coefficient and the mechanical prediction coefficient. The slope stability prediction method provided by the application can be used for determining the geometric prediction coefficient according to the slope angle and the slope height of the slope to be predicted, determining the mechanical prediction coefficient according to the volume weight, the cohesion, the friction angle and the void pressure ratio, and predicting the stability of the slope to be predicted according to the volume weight, the cohesion, the friction angle, the geometric prediction coefficient and the mechanical prediction coefficient, so that the feasible prediction method for the slope stability is provided.
Drawings
Fig. 1 is a flow chart of a slope stability prediction method according to an embodiment of the present invention.
Detailed Description
The invention will be better explained by the following detailed description of the embodiments with reference to the drawings.
The slope stability refers to the stability degree of the slope rock and soil mass under the conditions of a certain slope height and a certain slope angle. According to the cause, the side slopes are divided into natural side slopes and artificial side slopes, and the artificial side slopes are divided into excavation side slopes, dyke side slopes and the like. Unstable natural slopes and artificial slopes with excessive design slope angles often slide or collapse under the action of gravity, water pressure, vibration force and other external forces of rock and soil bodies. The large-scale damage of the side slope rock and soil can cause traffic interruption, building collapse, river blockage and reservoir siltation, and huge losses are brought to lives and properties of people. Therefore, the research of the slope stability prediction method has important significance.
Based on the above, the application provides a slope stability prediction method, which comprises the following steps: acquiring the volume weight, cohesion, friction angle, slope height and void pressure ratio of the slope to be predicted; determining a geometric prediction coefficient according to the slope angle and the slope height; determining a mechanical prediction coefficient according to the volume weight, the cohesive force, the friction angle and the void pressure ratio; and predicting the stability of the slope to be predicted according to the volume weight, the cohesive force, the friction angle, the geometric prediction coefficient and the mechanical prediction coefficient. The slope stability prediction method provided by the application can be used for determining the geometric prediction coefficient according to the slope angle and the slope height of the slope to be predicted, determining the mechanical prediction coefficient according to the volume weight, the cohesion, the friction angle and the void pressure ratio, and predicting the stability of the slope to be predicted according to the volume weight, the cohesion, the friction angle, the geometric prediction coefficient and the mechanical prediction coefficient, so that the feasible prediction method for the slope stability is provided.
Referring to fig. 1, the implementation flow of the slope stability prediction method provided in this embodiment is as follows:
s101, acquiring the volume weight, cohesion, friction angle, slope height and void pressure ratio of the slope to be predicted.
The method can be used for acquiring the volume weight, cohesion, friction angle, slope height and void pressure ratio of the slope to be predicted by adopting the existing acquisition method. Details of implementation are not described here in detail.
S102, determining geometric prediction coefficients according to the slope angle and the slope height.
There is a correlation between the slope angle and the slope height and the slope stability, and the slope angle and the slope height are factors of the slope body, so that the geometric prediction coefficient reflecting the condition of the slope body can be obtained through the slope angle and the slope height.
Specifically, the method is realized by the following steps:
S102-1, determining the length l of the side slope to be predicted.
And S102-2, determining a comparison height h 0 =l.arcsin alpha according to the length of the slope to be predicted and the slope angle.
Wherein alpha is the slope angle.
The comparison height h 0 obtained in the step is the theoretical height corresponding to the slope angle.
S102-3, determining a geometric prediction coefficient according to the difference between the comparison height and the side slope height.
The difference between the alignment height and the slope height (i.e., h 0 -h) reflects the gap between the actual height and the theoretical height. The two are normally identical, i.e. the difference between the comparison height and the slope height is not greater than a height difference threshold (the height difference threshold is an allowable error value). If the abnormal condition (such as that the h measurement is wrong) is generated, the difference between the comparison height and the side slope height is larger than the height difference threshold value. Therefore, the geometric prediction coefficient is determined according to the relation between the difference between the comparison height and the side slope height and the height difference threshold value. Namely:
If the difference between the comparison height and the side slope height is not greater than the height difference threshold value, determining that the geometric prediction coefficient is
From this, it is known that the set prediction coefficient is normally inversely proportional to the slope angle α, that is, the larger the slope angle α is, the smaller the set prediction coefficient is, and the lower the stability is.
If the difference between the comparison height and the side slope height is greater than the height difference threshold value, determining that the geometric prediction coefficient is
Wherein h is the height of the side slope, and beta is the unit height influence coefficient.
Because the height also has an influence on the stability of the slope, under abnormal conditions, the influence of the slope angle alpha on the geometric prediction coefficient can be adjusted based on the height difference, so that the accuracy of the geometric prediction coefficient is ensured.
In addition, the height difference threshold value can be determined according to the pertinence of the side skin condition, and is related to the included angle of the horizontal plane of the side slope, the cohesive force of the side slope body and the geological density. The specific determination scheme is as follows:
s201, setting a plurality of test points at different positions on a side slope to be predicted.
S202, acquiring cohesive force C i, geological density rho i and an included angle alpha i between each test point and the horizontal plane, wherein i is a test point mark.
S203, determining a first ratio of each test point
Cohesion represents the mutual attraction between adjacent parts in the side slope body, the mutual attraction is the expression of molecular force existing between molecules of the same substance, and the larger the cohesion is, the larger the mutual attraction in the geology is, the more stable the geology is, and the smaller the influence of the height change on the geology is. The geological density characterizes the structure of the side slope body, and the larger the geological density is, the smaller the influence of the height change on the geology is. The first ratio reflects the rate of influence of the current slope's own cohesion and the altitude change exhibited by the geological density.
S204, determining a height difference threshold delta 1 according to the included angle alpha i between each test point and the horizontal plane and the first ratio delta i of each test point.
For example, a height difference threshold
The larger the included angle of the side slope is, the larger the influence of the height change on the stability of the side slope is, and the height difference threshold value in the step is the product of the normalized first ratio mean value and the normalized maximum included angle.
After the height difference threshold is obtained, the variance of the ratio of the unit height influence coefficient β=Δ 1 to all test points can be determined.
S103, determining a mechanical prediction coefficient according to the volume weight, the cohesive force, the friction angle and the void pressure ratio.
The volume weight, the cohesive force, the friction angle and the void pressure ratio are related to the slope stability, and are factors of the slope soil mechanics, so that the mechanical prediction coefficient of the slope soil mechanics can be obtained through the volume weight, the cohesive force, the friction angle and the void pressure ratio.
The larger the volume weight, the larger the cohesive force, the larger the friction angle and the larger the void pressure ratio, and the higher the slope stability.
Wherein, C is cohesive force,The friction angle is r is the void pressure ratio, delta is the volume weight, and omega is the preset mechanical reduction coefficient.
S104, predicting the stability of the slope to be predicted according to the volume weight, the cohesion, the friction angle, the geometric prediction coefficient and the mechanical prediction coefficient.
Specifically, the implementation mode of the step is as follows:
S104-1 shear Strength Wherein/>The friction angle (in degrees), C is the cohesion (in Kpa), and sigma is the normal pressure to the shear plane (in Kpa).
S104-2, predicting the stability of the slope to be predicted according to the volume weight, the shear strength, the geometric prediction coefficient and the mechanical prediction coefficient.
Namely, the method is realized by the following steps:
s104-2-1, calculating a second ratio Wherein delta is the volume weight.
The shear strength characterizes the ultimate strength at break, and the relation between the current condition of the slope body and the shear strength can be obtained through the ratio of the volume weight to the shear strength, so that the larger the value is, the larger the volume weight is, and the more unstable the slope is.
S104-2-2，
The second ratio is optimized through the geometric prediction coefficient and the mechanical prediction coefficient, so that a third value which more accurately reflects the slope stability degree can be obtained.
S104-2-3, if the third value is larger than a preset threshold value, predicting that the side slope to be predicted is unstable.
The threshold value in this step is preset, is an empirical value, and can be modified according to actual conditions.
The method provided by the embodiment obtains the volume weight, cohesion, friction angle, slope height and void pressure ratio of the slope to be predicted; determining a geometric prediction coefficient according to the slope angle and the slope height; determining a mechanical prediction coefficient according to the volume weight, the cohesive force, the friction angle and the void pressure ratio; and predicting the stability of the slope to be predicted according to the volume weight, the cohesive force, the friction angle, the geometric prediction coefficient and the mechanical prediction coefficient. The slope stability prediction method provided by the application can be used for determining the geometric prediction coefficient according to the slope angle and the slope height of the slope to be predicted, determining the mechanical prediction coefficient according to the volume weight, the cohesion, the friction angle and the void pressure ratio, and predicting the stability of the slope to be predicted according to the volume weight, the cohesion, the friction angle, the geometric prediction coefficient and the mechanical prediction coefficient, so that the feasible prediction method for the slope stability is provided.
In order that the above-described aspects may be better understood, exemplary embodiments of the present invention will be described in more detail below with reference to the accompanying drawings. While exemplary embodiments of the present invention are shown in the drawings, it should be understood that the present invention may be embodied in various forms and should not be limited to the embodiments set forth herein. Rather, these embodiments are provided so that this disclosure will be thorough and complete, and will fully convey the scope of the invention to those skilled in the art.
It will be appreciated by those skilled in the art that embodiments of the present invention may be provided as a method, system, or computer program product. Accordingly, the present invention may take the form of an entirely hardware embodiment, an entirely software embodiment or an embodiment combining software and hardware aspects. Furthermore, the present invention may take the form of a computer program product embodied on one or more computer-usable storage media (including, but not limited to, disk storage, CD-ROM, optical storage, and the like) having computer-usable program code embodied therein.
The present invention is described with reference to flowchart illustrations and/or block diagrams of methods, apparatus (systems) and computer program products according to embodiments of the invention. It will be understood that each flow and/or block of the flowchart illustrations and/or block diagrams, and combinations of flows and/or blocks in the flowchart illustrations and/or block diagrams, can be implemented by computer program instructions.
It should be noted that in the claims, any reference signs placed between parentheses shall not be construed as limiting the claim. The word "comprising" does not exclude the presence of elements or steps not listed in a claim. The word "a" or "an" preceding an element does not exclude the presence of a plurality of such elements. The invention may be implemented by means of hardware comprising several distinct elements, and by means of a suitably programmed computer. In the claims enumerating several means, several of these means may be embodied by one and the same item of hardware. The use of the terms first, second, third, etc. are for convenience of description only and do not denote any order. These terms may be understood as part of the component name.
Furthermore, it should be noted that in the description of the present specification, the terms "one embodiment," "some embodiments," "example," "specific example," or "some examples," etc., refer to a specific feature, structure, material, or characteristic described in connection with the embodiment or example being included in at least one embodiment or example of the present invention. In this specification, schematic representations of the above terms are not necessarily directed to the same embodiment or example. Furthermore, the particular features, structures, materials, or characteristics described may be combined in any suitable manner in any one or more embodiments or examples. Furthermore, the different embodiments or examples described in this specification and the features of the different embodiments or examples may be combined and combined by those skilled in the art without contradiction.
While preferred embodiments of the present invention have been described, additional variations and modifications in those embodiments may occur to those skilled in the art upon learning the basic inventive concepts. Therefore, the appended claims should be construed to include preferred embodiments and all such variations and modifications as fall within the scope of the invention.
It will be apparent to those skilled in the art that various modifications and variations can be made to the present invention without departing from the spirit or scope of the invention. Thus, the present invention should also include such modifications and variations provided that they come within the scope of the following claims and their equivalents.
Claims (1)
1. A slope stability prediction method, the method comprising:
s101, acquiring the volume weight, cohesion, friction angle, slope height and void pressure ratio of a slope to be predicted;
s102, determining geometric prediction coefficients according to the slope angle and the slope height, wherein the geometric prediction coefficients comprise:
s102-1, determining the length l of a side slope to be predicted;
S102-2, determining a comparison height h 0 = l arcsin alpha according to the length of the side slope to be predicted and the side slope angle, wherein alpha is the side slope angle;
S102-3, determining a geometric prediction coefficient according to the difference between the comparison height and the slope height, wherein the geometric prediction coefficient comprises:
if the difference between the comparison height and the side slope height is not greater than the height difference threshold value, determining the geometric prediction coefficient as
If the difference between the comparison height and the slope height is greater than a height difference threshold, determining that the geometric prediction coefficient is
Wherein h is the height of the side slope, and beta is a unit height influence coefficient;
S103, determining a mechanical prediction coefficient according to the volume weight, the cohesive force, the friction angle and the void pressure ratio, wherein the method comprises the following steps:
wherein, C is cohesive force, The friction angle is r is the void pressure ratio, delta is the volume weight, and omega is a preset mechanical reduction coefficient;
S104, predicting the stability of the slope to be predicted according to the volume weight, the cohesive force, the friction angle, the geometric prediction coefficient and the mechanical prediction coefficient, wherein the method comprises the following steps:
S104-1 shear Strength Wherein/>The friction angle, C is cohesive force, sigma is normal pressure of the shear plane;
S104-2, predicting the stability of the slope to be predicted according to the volume weight, the shear strength, the geometric prediction coefficient and the mechanical prediction coefficient, wherein the method comprises the following steps:
S104-2-1， wherein delta is the volume weight;
S104-2-2，
s104-2-3, if the third value is larger than a preset threshold value, predicting that the slope to be predicted is unstable;
before S102, the method further includes:
S201, setting a plurality of test points at different positions on a side slope to be predicted;
S202, acquiring cohesive force C i, geological density rho i and an included angle alpha i between the geological density rho i and the horizontal plane corresponding to each test point, wherein i is a test point mark;
s203, determining a first ratio of each test point
S204, determining a height difference threshold delta 1 according to the included angle alpha i between each test point and the horizontal plane and the first ratio delta i between each test point, wherein the height difference threshold isAfter S204, the method further includes:
the variance of the ratio of the unit height influence coefficient β=Δ 1 to all test points is determined.
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