CN105005646A - Holographic method for analyzing stability safety of side slope - Google Patents

Abstract

The invention discloses a holographic method for slope stability and safety analysis, which can obtain accurate and comprehensive data. This holographic method for safety analysis of slope stability includes the following steps: (1) For the positions of the slide-in point and the slide-out point of a given slope slide surface, calculate the security of all slide surfaces under specified sliding mechanisms and/or constraints coefficient; (2) Find the sliding surface with the smallest safety factor among all sliding surfaces satisfying the specified sliding mechanism and/or constraint conditions through the sliding-in point and the sliding-out point through the optimization method.

Description

A Holographic Method for Safety Analysis of Slope Stability

technical field

The invention belongs to the technical field of slopes in civil engineering, geotechnical engineering, water conservancy and hydropower and traffic engineering, and in particular relates to a holographic method for slope stability and safety analysis, which is mainly used for slope stability analysis and slope treatment design.

Background technique

There are many methods for slope stability and safety analysis, the main methods are divided into limit equilibrium method and finite element strength reduction method. The limit equilibrium method is to calculate the safety factor of a given sliding surface first, and then find the most dangerous sliding surface through optimization technology; the finite element strength reduction method is to determine the most dangerous sliding surface by analyzing the plastic connected area. On the one hand, the method for determining the most dangerous sliding surface is still immature; on the other hand, the final slope stability information is mainly the position of the most dangerous sliding surface and the minimum sliding safety factor, and the information is relatively simple.

Contents of the invention

The technical problem of the present invention is to overcome the deficiencies of the prior art and provide a holographic method for slope stability and safety analysis, the data obtained by which are accurate and comprehensive.

The technical solution of the present invention is: this slope stability safety analysis holographic method comprises the following steps:

(1) For the position of the slide-in point and the slide-out point of the given slope sliding surface, calculate the safety factor of all sliding surfaces at a certain resolution interval under the specified sliding mechanism and/or constraint conditions;

(2) Find the sliding surface with the smallest safety factor among all sliding surfaces satisfying the specified sliding mechanism and/or constraint conditions through the sliding-in point and the sliding-out point through the optimization method.

(3) Give the slope stability safety coefficient contour map with the slide-in point and slide-out point positions as the vertical and horizontal axes.

The present invention calculates the coefficient of safety of all sliding surfaces under the specified sliding mechanism and/or limiting conditions, and then finds all the sliding surfaces satisfying the specified sliding mechanism and/or limiting conditions through the two points of the sliding-in point and the sliding-out point through an optimization method. The sliding surface with the smallest safety factor in the sliding surface, and the safety factor contour map with the position of the sliding in and out point as the vertical and horizontal coordinates is given. Therefore, the data obtained are accurate and comprehensive.

Description of drawings

Fig. 1a shows the safety factor contour of the slope circular arc sliding mechanism obtained by implementing the method according to the present invention; Fig. 1b shows the minimum safety factor sliding surface arc.

Fig. 2 shows a flow chart of the holographic method for safety analysis of slope stability according to the present invention.

Detailed ways

As shown in Figure 2, this holographic method for safety analysis of slope stability includes the following steps:

(1) For the positions of the slide-in point and the slide-out point of the given slope sliding surface, calculate the safety factor of all sliding surfaces under the specified sliding mechanism and/or constraints;

(2) Find the sliding surface with the smallest safety factor among all sliding surfaces satisfying the specified sliding mechanism and/or constraint conditions through the sliding-in point and the sliding-out point through the optimization method.

The present invention calculates the coefficient of safety of all sliding surfaces under the specified sliding mechanism and/or limiting conditions, and then finds all the sliding surfaces satisfying the specified sliding mechanism and/or limiting conditions through the two points of the sliding-in point and the sliding-out point through an optimization method. The sliding surface has the smallest safety factor in the sliding surface, so the obtained data is accurate and comprehensive.

In addition, as shown in Figures 1a and 1b, in the step (2), the sliding mechanism is designated as a circular arc sliding mechanism, and a sliding surface is determined by the sliding in point, the sliding out point, and the sliding arc arch height, and the sliding arc arch height is Variable, calculate the safety factor of the sliding arc of each sliding arc arch height according to the specified interval, and then use the one-dimensional optimization method to calculate the sliding arc of each minimum point, and find the position of the sliding surface with the smallest safety factor.

In addition, all the slip arc data with calculated safety factors are stored in the database.

In addition, the method further includes the step (3) taking the position of the slide-in point and the slide-out point as vertical and horizontal coordinates to obtain a contour map of the slope stability safety factor.

In addition, taking the positions of the slip-in point and the slip-out point as optimization variables, the most dangerous sliding surface and the minimum safety factor under the specified sliding mechanism and/or limiting conditions of the slope are obtained through optimization.

In addition, for each specified coordinate interval of the slide-in point and slide-out point, calculate the corresponding minimum safety factor and the most dangerous sliding surface, so as to query the information on the change of the sliding safety factor with the sliding depth.

The present invention is explained in more detail below.

Taking the position of the slide-in point and the slide-out point as the vertical and horizontal coordinates, for any point within the coordinate range of the slide-in point and the slide-out point (coordinate pair of the slide-in point and the slide-out point), optimize the given sliding mechanism and (or) limit conditions (such as arc sliding mechanism, sliding depth is greater than a certain value) in all sliding arcs with the smallest safety factor, and traverse all points with a certain coordinate resolution, so that the position of the given sliding in and out points can be obtained Slope minimum sliding safety factor data, and obtain the minimum safety factor point in these data. Based on this data, the slope sliding safety coefficient contour map can be drawn with the position of the sliding in and out point as the vertical and horizontal coordinates. Taking the aforementioned minimum safety factor point as the starting point, and taking the slide-in and slide-out point positions as optimization variables, the accurate position of the most dangerous sliding surface and the minimum safety factor sliding arc can be found.

More specifically, firstly, for the slide-in point and slide-out point positions of a given slope sliding surface, the safety factor of any sliding surface with a given sliding mechanism and/or constraints is calculated, and an optimization method is used to find out by giving The most dangerous sliding surface to determine the sliding in and out points. Taking the arc sliding mechanism as an example, the position of the sliding in and out points + the arch height of the sliding arc uniquely determines a sliding surface. Taking the arch height as a variable, calculate the safety factor of the sliding arc of each arch height according to a certain interval, and then use the one-dimensional optimization method to obtain the sliding arc of each minimum point, and find the most dangerous sliding surface position, all calculations The slip arc data with safety factor are stored in the database, which is convenient for slope stability design query.

Secondly, at a given coordinate interval, the minimum safety factor and the most dangerous sliding surface position of all possible sliding-in and sliding-out point pairs are obtained, and the contour map is drawn. According to the safety factor contour diagram and the calculation result data file, the stability safety factor and slip arc information corresponding to any sliding point can be queried.

Third, take the most dangerous sliding surface in the above calculation results as the optimization starting point, and use the optimization method to find the sliding surface with the minimum safety factor and its safety factor.

The above are only preferred embodiments of the present invention, and are not intended to limit the present invention in any form. Any simple modifications, equivalent changes and modifications made to the above embodiments according to the technical essence of the present invention are still within the scope of this invention. The protection scope of the technical solution of the invention.

Claims (6)

1. a slope stability safety analysis holographic method, is characterized in that: comprises the following steps: (1) For the positions of the slide-in point and the slide-out point of the given slope sliding surface, calculate the safety factor of all sliding surfaces under the specified sliding mechanism and/or constraints; (2) Find the sliding surface with the smallest safety factor among all sliding surfaces satisfying the specified sliding mechanism and/or constraint conditions through the sliding-in point and the sliding-out point through the optimization method. 2. The slope stability safety analysis holographic method according to claim 1, characterized in that: in the step (2), specifying the sliding mechanism is an arc sliding mechanism, and the sliding point, the sliding point, and the arch height of the sliding arc are Determine a sliding surface, take the sliding arc height as a variable, calculate the safety factor of each sliding arc at the specified interval, and then use the one-dimensional optimization method to calculate the sliding arc at each minimum point, and find out the safety factor The location of the sliding surface with the smallest coefficient. 3. The holographic method for safety analysis of slope stability according to claim 2, characterized in that: all data of slip arcs with calculated safety coefficients are stored in a database. 4. the slope stability safety analysis holographic method according to claim 3 is characterized in that: the method also includes step (3) taking the slope-in point and the slide-out point position as vertical and horizontal coordinates to obtain the slope stability safety factor contour map of . 5. The holographic method for safety analysis of slope stability according to claim 3, characterized in that: the position of the slip-in point and the slip-out point is used as the optimization variable to optimize the specified slip mechanism and/or limit conditions of the most dangerous slope. Sliding surfaces and minimum safety factors. 6. The slope stability safety analysis holographic method according to claim 5, characterized in that: for the slide-in point and the slide-out point position of each specified coordinate interval, calculate the corresponding minimum safety factor and the most dangerous sliding surface, so that Query the change information of sliding safety factor with sliding depth.