CN117973229A - Slope three-dimensional most dangerous slip surface searching method, equipment and storage medium - Google Patents
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Abstract
The invention relates to a method, equipment and a storage medium for searching a three-dimensional most dangerous slip surface of a side slope, which comprise the steps of constructing a three-dimensional power function slip surface, constructing a three-dimensional power function slip surface equation according to the size of the side slope, and constructing a three-dimensional slip surface according to control parameters (x 0、z0, R, n and theta) in the constructed three-dimensional power function slip surface equation; searching a two-dimensional circular arc main sliding surface, determining independent variables (x 0、z0 and R) of an objective function, and searching through a genetic algorithm to obtain the minimum value of the objective function, thus obtaining a two-dimensional main sliding surface of the side slope; searching the sliding surface of the three-dimensional most dangerous power function, determining the independent variables (n and theta) of the objective function, and searching through a genetic algorithm to obtain the minimum value of the objective function, thus obtaining the three-dimensional most dangerous sliding surface of the side slope. After the method is adopted, the slope three-dimensional most dangerous slip crack surface searching method provided by the invention can be used for realizing the prediction of the slope stability, and has important theoretical and practical significance for reducing landslide disasters.
Description
Technical Field
The invention relates to the technical field of slope engineering of civil engineering, water conservancy, mines, highways and the like, in particular to a method, equipment and a storage medium for searching three-dimensional most dangerous slip crack surfaces of a slope.
Background
The most dangerous slip surface search is one of the hot spot research subjects in the geotechnical engineering field. A great number of complex slope engineering problems are continuously emerging in the engineering construction of related industries such as highways, railways, water conservancy, ports, civil engineering and the like. However, the most dangerous slip surface search is one of the problems to be solved in the slope engineering, and is also one of the most basic problems in the slope engineering. Therefore, the most dangerous slip crack surface search research is developed in the industries of civil engineering, hydraulic engineering and traffic engineering, the theoretical significance is far-reaching, and the engineering application prospect is wide.
Currently, in the aspect of three-dimensional most dangerous slip crack surface searching, researchers continuously improve the efficiency and the precision of slip crack surface searching through means of an optimization algorithm, an artificial intelligence algorithm and the like. As disclosed in chinese patent publication No. CN105787277B, a method for searching a three-dimensional critical slip surface of a side slope is disclosed, according to the constructed three-dimensional ellipsoidal slip surface, the safety coefficient of the side slope is obtained according to the minimum potential energy principle, and the critical slip surface is searched by genetic algorithm, and the slip surface searched by the method is only an ellipsoidal surface, and has no generality and limited application range; the safety coefficient calculation method adopts the minimum potential energy principle, and the limit balance method is commonly adopted in engineering, so that the application of the method is limited. Although the three-dimensional slide search of a side slope has made some progress, there are challenges and problems that need further investigation. For example, the solution method of the three-dimensional safety coefficient is complex and often does not converge, so that the optimization function cannot be solved, and the most dangerous sliding surface search cannot be realized; the three-dimensional most dangerous slip surface is assumed to be too simple in shape and not have universality; the complex sliding surface shape is difficult to realize or falls into local optimum due to excessive control parameters.
Disclosure of Invention
The invention provides a method, equipment and a storage medium for searching three-dimensional most dangerous slip crack surfaces of a side slope, which can at least solve one of the technical problems in the background technology.
In order to achieve the above purpose, the present invention adopts the following technical scheme:
A method for searching three-dimensional most dangerous slip crack surfaces of a side slope, which comprises the following steps,
Step S101: constructing a three-dimensional power function slip surface, constructing a three-dimensional power function slip surface equation according to the side slope size, and constructing a three-dimensional slip surface according to control parameters (x 0,z0, R, n and theta) in the constructed three-dimensional power function slip surface equation;
Step S102: searching a two-dimensional circular arc main sliding surface, determining independent variables (x 0、z0 and R) of an objective function, and searching through a genetic algorithm to obtain the minimum value of the objective function, thus obtaining a two-dimensional main sliding surface of the side slope;
Step S103: searching the sliding surface of the three-dimensional most dangerous power function, determining the independent variables (n and theta) of the objective function, and searching through a genetic algorithm to obtain the minimum value of the objective function, thus obtaining the three-dimensional most dangerous sliding surface of the side slope.
Further, the step S101 includes the steps of,
Step S1011: determining the size of a side slope, setting a coordinate system for the side slope, and measuring the slope height and the slope rate of the side slope, and the viscosity c, the internal friction angle phi and the gravity gamma of the material parameters of the side slope;
Step S1012: assuming that the center coordinate of a main sliding surface of a power function sliding surface is (x 0、0、z0), the sliding radius is R, and three-dimensionally expanding the main sliding surface to the y-axis direction of the other coordinate axis on the basis of the main sliding surface to obtain a cluster of three-dimensional power function sliding surface equation z=f (x 0, z0, R, n); meanwhile, in order to embody generalization of the power function sliding surface, an included angle between the power function sliding surface and a horizontal plane is set, the size is theta, and a general equation of the slope three-dimensional power function sliding surface is as follows: z=f (x 0,z0, R, n, θ). As shown in fig. 2, the equation under the established coordinate system is expressed as:
(1)
wherein n is a positive real number, ry is the half-axis length of the slip crack surface in the y direction;
step S1013: and determining control parameters, and determining a series of three-dimensional power function slip planes according to the exact values or the ranges of the control parameters in the three-dimensional power function slip plane equation, so as to realize the construction of the three-dimensional slip planes.
Further, the step S102 includes the following steps,
Step S1021: according to the software for calculating the stability of the sliding surface positive stress correction slope based on a genetic algorithm, which is disclosed by the two-dimensional circular arc main sliding surface search according to the China computer soft book with the registration number of 2017SR508712, the circle center coordinate x 0、z0 of a circular arc and the radius R of the circular arc are used as independent variables of an objective function, the objective function is determined by obtaining the safety coefficient of the slope according to a two-dimensional limit balance method for constructing the positive stress distribution of the sliding surface, and the minimum value of the objective function is obtained by searching through the genetic algorithm, namely, the corresponding x 0、z0 and R are obtained, so that the construction of the two-dimensional circular arc main sliding surface is realized.
Further, the step S103 includes the following steps,
Step S1031: calculating a safety coefficient, and according to the China computer book with accession number 2018SR695247, disclosing a three-dimensional slope stability calculating software based on sliding surface positive stress correction, wherein a three-dimensional power function sliding crack surface equation Z=S and a slope surface equation Z=G determined in the step S101 are adopted; the parameters of the slope soil body material, namely cohesive force c, an internal friction angle phi and a gravity gamma, are substituted into an equation set obtained by three force balances and one moment balance in the vertical direction (y direction), and the safety coefficient is obtained by solving according to a three-dimensional limit balance method (the Chinese computer soft literature with the registration number of 2018SR 695247) based on the correction of the sliding surface positive stress, namely the searching objective function is determined.
Step S1032: and taking the control parameters n and theta as independent variables of the objective function, and searching by adopting a genetic algorithm to obtain the minimum value of the objective function, namely obtaining the corresponding n and theta, thereby realizing the search of the three-dimensional most dangerous slip surface.
In yet another aspect, the invention also discloses a computer readable storage medium storing a computer program which, when executed by a processor, causes the processor to perform the steps of the method as described above.
In yet another aspect, the invention also discloses a computer device comprising a memory and a processor, the memory storing a computer program which, when executed by the processor, causes the processor to perform the steps of the method as above.
As can be seen from the above technical solution, the present invention discloses a method for searching a three-dimensional dangerous sliding crack surface of a side slope, comprising the steps of S101: constructing a three-dimensional power function slip surface, constructing a three-dimensional power function slip surface equation according to the side slope size, and constructing a three-dimensional slip surface according to control parameters (x 0,z0, R, n and theta) in the constructed three-dimensional power function slip surface equation; step S102: and searching the two-dimensional circular arc main sliding surface, determining an objective function independent variable (x 0,z0, R), and searching through a genetic algorithm to obtain the minimum value of the objective function, thus obtaining the two-dimensional main sliding surface of the side slope. Step S103: searching the sliding surface of the three-dimensional most dangerous power function, determining the independent variable (n, theta) of the objective function, and searching through a genetic algorithm to obtain the minimum value of the objective function, thus obtaining the three-dimensional most dangerous sliding surface of the side slope. After the method is adopted, the slope three-dimensional most dangerous slip crack surface searching method provided by the invention can be used for realizing the prediction of the slope stability, and has important theoretical and practical significance for reducing landslide disasters.
By adopting the method for searching the three-dimensional most dangerous sliding crack surface of the side slope, the sliding crack surface damaged by the instability of the side slope is simplified into the three-dimensional power function sliding surface, and the construction process is simple and clear and easy to realize. The constructed sliding surface has a general shape, is closer to an actual sliding surface, and is suitable for an earth slope; the calculation of the safety coefficient adopts a three-dimensional limit balance method (the Chinese computer soft literature with the registration number of 2018SR 695247) based on the correction of the sliding surface positive stress, the calculation result is an explicit solution, and no convergence problem exists; the number of the optimized control parameters is only 5 (x 0,z0, R, n and theta), the control parameters are moderate, the implementation is easy through a genetic algorithm, the searching efficiency is high, and the local optimum is not easy to fall into.
Drawings
FIG. 1 is a schematic view of a three-dimensional side slope of the present invention;
FIG. 2 is a schematic diagram of a three-dimensional power function slip plane of the present invention;
FIG. 3 is a schematic view of a two-dimensional slope of the present invention;
FIG. 4 is a schematic view of a two-dimensional circular arc main sliding surface of the present invention;
FIG. 5 is a flow chart of the search of the two-dimensional most dangerous circular arc main sliding surface genetic algorithm of the invention;
FIG. 6 is a schematic view of a three-dimensional most dangerous slip surface according to the present invention;
FIG. 7 is a flow chart of the three-dimensional most dangerous power function sliding surface genetic algorithm search of the invention.
Detailed Description
For the purpose of making the objects, technical solutions and advantages of the embodiments of the present invention more apparent, the technical solutions of the embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings in the embodiments of the present invention, and it is apparent that the described embodiments are some embodiments of the present invention, but not all embodiments of the present invention.
As shown in fig. 1, the method for searching the three-dimensional most dangerous slip crack surface of the side slope according to the embodiment comprises the following steps,
Step S101: constructing a three-dimensional power function slip surface, constructing a three-dimensional power function slip surface equation according to the side slope size, and constructing a three-dimensional slip surface according to control parameters (x 0,z0, R, n and theta) in the constructed three-dimensional power function slip surface equation;
Step S102: searching a two-dimensional circular arc main sliding surface, determining independent variables (x 0、z0 and R) of an objective function, and searching through a genetic algorithm to obtain the minimum value of the objective function, thus obtaining a two-dimensional main sliding surface of the side slope;
Step S103: searching the sliding surface of the three-dimensional most dangerous power function, determining the independent variables (n and theta) of the objective function, and searching through a genetic algorithm to obtain the minimum value of the objective function, thus obtaining the three-dimensional most dangerous sliding surface of the side slope.
The following are respectively specified:
Step S101: constructing a three-dimensional power function slip surface, constructing a three-dimensional power function slip surface equation according to the side slope size, and constructing a three-dimensional slip surface according to control parameters (x 0,z0, R, n and theta) in the constructed three-dimensional power function slip surface equation; the method specifically comprises the following steps:
step S1011: the slope size is determined, and after the coordinate system is set, the slope height of the slope is 12m and the slope rate is 0.6 as shown in fig. 1. Soil body weight gamma=18 kN/m 3, cohesion c=25 kPa, internal friction angle phi=22°.
Step S1012: assuming that the center coordinate of a main sliding surface of the power function sliding surface is (x 0、0、z0), the sliding radius is R, and three-dimensionally expanding the main sliding surface to the y-axis direction of the other coordinate axis on the basis of the main sliding surface to obtain a cluster of three-dimensional power function sliding surface equation z=f (x 0,z0, R, n); meanwhile, in order to embody generalization of the power function sliding surface, an included angle between the power function sliding surface and a horizontal plane is set, the size is theta, and a general equation of the slope three-dimensional power function sliding surface is as follows: z=f (x 0,z0, R, n, θ). As shown in fig. 2, the equation under the established coordinate system is expressed as:
(1)
In the formula (1), n is a positive real number, and R y is the half-axis length of the slip plane in the y direction. If the maximum length of the sliding body is 2L D is the nearest distance from the rotating shaft to the slope body, and FIG. 3 is a two-dimensional sliding surface schematic diagram of the sliding surface.
Step S1013: and determining control parameters, and determining a series of three-dimensional power function slip planes according to the value ranges of the control parameters x 0、z0, R, n and theta in the three-dimensional power function slip plane equation, so as to realize the construction of the three-dimensional slip planes.
Step S102: the two-dimensional circular arc main sliding surface is searched, the independent variables (x 0、z0 and R) of the objective function are determined, the minimum value of the objective function is obtained through searching by a genetic algorithm, and the two-dimensional main sliding surface of the side slope is obtained, and the specific searching process comprises the following steps:
Step S1021: the two-dimensional circular arc main sliding surface searching, according to the Chinese computer soft book with the registration number 2017SR508712, discloses sliding surface normal stress correction slope stability calculation software based on a genetic algorithm, and establishes an equation set containing an objective function according to the force balance (x direction and y direction) of a sliding body.
Step S1022: coding and decoding the circle center coordinates x 0、z0 of the circular arcs and the circular arc radius R as independent variables of the objective function to form an initial population, and calculating the adaptation value of individuals in the population;
step S1023: inserting new individuals formed through crossover and mutation operations into the originally selected individuals to form a new population, and calculating the adaptation value of the individuals in the new population;
Step S1024: judging whether the generation of the individual meets the target convergence condition, if so, outputting the generation of the individual, and if not, repeating the steps until the convergence condition is met. The optimal solution of this example is x 0=8.82,z0 =13.46, r=16.66 m, and the corresponding two-dimensional main sliding surface is shown in fig. 4. The two-dimensional most dangerous circular arc main sliding surface genetic algorithm searching flow is shown in figure 5.
The three-dimensional power function slip plane equation at this time can be expressed as:
Or (b)
（2）
Step S103: searching the sliding surface of the three-dimensional most dangerous power function, determining the independent variables (n and theta) of the objective function, searching through a genetic algorithm to obtain the minimum value of the objective function, and obtaining the three-dimensional most dangerous sliding surface of the side slope, wherein the specific searching process comprises the following steps:
Step S1031: calculating a safety coefficient, and according to the China computer book with accession number 2018SR695247, disclosing a three-dimensional slope stability calculating software based on sliding surface positive stress correction, wherein a three-dimensional power function sliding crack surface equation Z=S and a slope surface equation Z=G determined in the step S101 are adopted; the parameters of the slope soil body material, namely the cohesive force c, the internal friction angle phi and the gravity gamma are substituted into an equation set obtained by three force balances and one moment balance in the vertical direction (y direction), and the safety coefficient is obtained by solving, namely the searching objective function is determined.
Step S1032: coding and decoding individuals consisting of n and theta as control parameters to form an initial population, and calculating the adaptation value of the individuals in the population;
step S1033: inserting new individuals formed through crossover and mutation operations into the originally selected individuals to form a new population, and calculating the adaptation value of the individuals in the new population;
step S1034: judging whether the generation of the individual meets the target convergence condition, if so, outputting the generation of the individual, and if not, repeating the steps until the convergence condition is met. The optimal solution for this example is n=15, θ=12°, and the safety factor is 1.9514. The corresponding three-dimensional most dangerous slip surface is shown in fig. 6.
The genetic algorithm is adopted for calculation, the whole operation process is simple and efficient, and the flow chart is shown in fig. 7.
In yet another aspect, the invention also discloses a computer readable storage medium storing a computer program which, when executed by a processor, causes the processor to perform the steps of the method as described above.
In yet another aspect, the invention also discloses a computer device comprising a memory and a processor, the memory storing a computer program which, when executed by the processor, causes the processor to perform the steps of the method as above.
In yet another embodiment of the present application, there is also provided a computer program product containing instructions that, when run on a computer, cause the computer to perform the three-dimensional most dangerous slip surface searching method of any of the above embodiments.
It may be understood that the system provided by the embodiment of the present invention corresponds to the method provided by the embodiment of the present invention, and explanation, examples and beneficial effects of the related content may refer to corresponding parts in the above method.
The embodiment of the application also provides an electronic device, which comprises a processor, a communication interface, a memory and a communication bus, wherein the processor, the communication interface and the memory are communicated with each other through the communication bus,
A memory for storing a computer program;
and the processor is used for realizing the slope three-dimensional most dangerous slip crack surface searching method when executing the program stored in the memory.
The communication bus mentioned by the above electronic device may be a peripheral component interconnect standard (english: PERIPHERAL COMPONENT INTERCONNECT, abbreviated as PCI) bus or an extended industry standard architecture (english: extended Industry Standard Architecture, abbreviated as EISA) bus, etc. The communication bus may be classified as an address bus, a data bus, a control bus, or the like.
The communication interface is used for communication between the electronic device and other devices.
The Memory may include random access Memory (RAM, english: random Access Memory) or nonvolatile Memory (NVM, english: non-Volatile Memory), such as at least one disk Memory. Optionally, the memory may also be at least one memory device located remotely from the aforementioned processor.
The processor may be a general-purpose processor, including a central processing unit (english: central Processing Unit, abbreviated as CPU), a network processor (english: network Processor, abbreviated as NP), etc.; it may also be a digital signal processor (English: DIGITAL SIGNAL Processing: DSP), an Application specific integrated Circuit (English: application SPECIFIC INTEGRATED Circuit: ASIC), a Field Programmable gate array (English: field-Programmable GATE ARRAY; FPGA) or other Programmable logic device, discrete gate or transistor logic device, discrete hardware components.
In the above embodiments, it may be implemented in whole or in part by software, hardware, firmware, or any combination thereof. When implemented in software, may be implemented in whole or in part in the form of a computer program product. The computer program product includes one or more computer instructions. When loaded and executed on a computer, produces a flow or function in accordance with embodiments of the present application, in whole or in part. The computer may be a general purpose computer, a special purpose computer, a computer network, or other programmable apparatus. The computer instructions may be stored in or transmitted from one computer-readable storage medium to another, for example, by wired (e.g., coaxial cable, optical fiber, digital Subscriber Line (DSL)), or wireless (e.g., infrared, wireless, microwave, etc.). The computer readable storage medium may be any available medium that can be accessed by a computer or a data storage device such as a server, data center, etc. that contains an integration of one or more available media. The usable medium may be a magnetic medium (e.g., floppy disk, hard disk, tape), an optical medium (e.g., DVD), or a semiconductor medium (e.g., solid state disk Solid STATE DISK (SSD)), etc.
It is noted that relational terms such as first and second, and the like are used solely to distinguish one entity or action from another entity or action without necessarily requiring or implying any actual such relationship or order between such entities or actions. Moreover, the terms "comprises," "comprising," or any other variation thereof, are intended to cover a non-exclusive inclusion, such that a process, method, article, or apparatus that comprises a list of elements does not include only those elements but may include other elements not expressly listed or inherent to such process, method, article, or apparatus. Without further limitation, an element defined by the phrase "comprising one … …" does not exclude the presence of other like elements in a process, method, article, or apparatus that comprises the element.
In this specification, each embodiment is described in a related manner, and identical and similar parts of each embodiment are all referred to each other, and each embodiment mainly describes differences from other embodiments. In particular, for system embodiments, since they are substantially similar to method embodiments, the description is relatively simple, as relevant to see a section of the description of method embodiments.
The above embodiments are only for illustrating the technical solution of the present invention, and are not limiting; although the invention has been described in detail with reference to the foregoing embodiments, it will be understood by those of ordinary skill in the art that: the technical scheme described in the foregoing embodiments can be modified or some technical features thereof can be replaced by equivalents; such modifications and substitutions do not depart from the spirit and scope of the technical solutions of the embodiments of the present invention.
Claims (6)
1. The method for searching the three-dimensional most dangerous slip crack surface of the side slope is characterized by comprising the following steps of,
Step S101: constructing a three-dimensional power function slip surface, constructing a three-dimensional power function slip surface equation according to the side slope size, and constructing a three-dimensional slip surface according to control parameters (x 0,z0, R, n and theta) in the constructed three-dimensional power function slip surface equation;
Step S102: searching a two-dimensional circular arc main sliding surface, determining independent variables (x 0、z0 and R) of an objective function, and searching through a genetic algorithm to obtain the minimum value of the objective function, thus obtaining a two-dimensional main sliding surface of the side slope;
Step S103: searching the sliding surface of the three-dimensional most dangerous power function, determining the independent variables (n and theta) of the objective function, and searching through a genetic algorithm to obtain the minimum value of the objective function, thus obtaining the three-dimensional most dangerous sliding surface of the side slope.
2. The slope three-dimensional most dangerous slip crack surface searching method according to claim 1, wherein the method comprises the following steps:
the step S101 includes the steps of,
Step S1011: determining the size of a side slope, setting a coordinate system for the side slope, and measuring the slope height and the slope rate of the side slope, and the viscosity c, the internal friction angle phi and the gravity gamma of the material parameters of the side slope;
Step S1012: assuming that the center coordinate of a main sliding surface of the power function sliding surface is (x 0、0、z0), the sliding radius is R, and three-dimensionally expanding the main sliding surface to the y-axis direction of the other coordinate axis on the basis of the main sliding surface to obtain a cluster of three-dimensional power function sliding surface equation z=f (x 0,z0, R, n);
Meanwhile, in order to embody generalization of the power function sliding surface, an included angle between the power function sliding surface and a horizontal plane is set, the size is theta, and a general equation of the slope three-dimensional power function sliding surface is as follows: z=f (x 0,z0, R, n, θ);
the equation under the established coordinate system is expressed as:
(1)
Wherein n is a positive real number, and R y is the half-axis length of the slip crack surface in the y direction;
Step S1013: and determining control parameters, and determining a series of three-dimensional power function slip planes according to the exact values or the ranges of the control parameters in the three-dimensional power function slip plane equation, so as to realize the construction of the three-dimensional slip planes.
3. The slope three-dimensional most dangerous slip crack surface searching method according to claim 1, wherein the method comprises the following steps:
The step S102 includes the steps of,
Step S1021: searching a two-dimensional circular arc main sliding surface, taking the circle center coordinate x 0,z0 of the circular arc and the circular arc radius R as independent variables of an objective function, and searching through a genetic algorithm to obtain the minimum value of the objective function, namely obtaining corresponding x 0、z0 and R, thereby realizing the construction of the two-dimensional circular arc main sliding surface.
4. The slope three-dimensional most dangerous slip crack surface searching method according to claim 1, wherein the method comprises the following steps: the step S103 includes the steps of,
Step S1031: calculating a safety coefficient, and comparing the three-dimensional power function slip crack surface equation Z=S determined in the step S101 with the slope surface equation Z=G; the parameters of the slope soil body material, namely cohesive force c, an internal friction angle phi and a gravity gamma, are substituted into an equation set obtained by three force balances and one vertical direction, namely y-direction moment balance, and the safety coefficient is obtained by solving, namely the searching objective function is determined;
Step S1032: and taking the control parameters n and theta as independent variables of the objective function, and searching by adopting a genetic algorithm to obtain the minimum value of the objective function, namely obtaining the corresponding n and theta, thereby realizing the search of the three-dimensional most dangerous slip surface.
5. A computer readable storage medium storing a computer program which, when executed by a processor, causes the processor to perform the steps of the method of any one of claims 1 to 4.
6. A computer device comprising a memory and a processor, the memory storing a computer program that, when executed by the processor, causes the processor to perform the steps of the method of any of claims 1 to 4.
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