CN113434997B - Composite sliding slope analysis method and device, storage medium and electronic equipment - Google Patents
Composite sliding slope analysis method and device, storage medium and electronic equipment Download PDFInfo
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Abstract
The invention discloses a composite sliding slope analysis method and device, a storage medium and electronic equipment, and belongs to the technical field of rock-soil mechanics. The method comprises the steps of establishing a mathematical model according to the section geometry of the composite sliding slope; constructing a limit balance equation based on the first sliding surface, the second sliding surface and the third sliding surface according to the mathematical model; performing simultaneous solution on a limit balance equation to obtain an integral safety coefficient F of the composite sliding slope when the first sliding surface, the second sliding surface and the third sliding surface simultaneously reach a limit state and an included angle beta between the internal shear fracture surface and the first sliding surface; and analyzing the equation solving result to obtain a composite sliding slope analysis conclusion. The apparatus, storage medium, and device can be used to implement the method. The safety coefficient of the composite sliding slope under the condition of considering the internal shearing constraint condition and the position of the fracture surface of the internal shearing surface can be obtained.
Description
Technical Field
The invention relates to the technical field of rock-soil mechanics, in particular to a composite sliding slope analysis method, a device, a storage medium and electronic equipment.
Background
Different from plane sliding and arc sliding, the bottom sliding surface of the composite sliding side slope is a composite sliding surface instead of a single inclined surface with uniform shape and continuous space or an arc with uniform curvature. Particularly, for the slope with the 'front gradual and rear steep' common in the reservoir area, which is a typical slope with a composite sliding surface, the sliding direction at the turning position of the potential sliding surface can be changed, and shearing dislocation can occur at the turning position in order to adapt to the change of the inner part of the slope body. However, in the prior art, for a composite sliding slope, because the conventional rigid body Limit balance Method does not consider the blocking effect of the internal shear resistance of the sliding slope body on the formation of the internal shear fracture surface, the internal shear deformation constraint mechanism caused by the sliding surface turning cannot be embodied in the conventional rigid body Limit balance Method (LEM) calculation, so that the calculated Safety Factor (Factor of Safety, FOS for short) is lower.
Disclosure of Invention
In view of this, the present invention provides a method and an apparatus for analyzing a composite sliding slope, a storage medium, and an electronic device, which can obtain a safety factor of the composite sliding slope under consideration of an internal shear constraint condition and a position of a fracture surface of an internal shear surface thereof, and are more practical.
In order to achieve the first object, the technical scheme of the composite sliding slope analysis method provided by the invention is as follows:
the invention provides a composite sliding slope analysis method,
the composite sliding side slope comprises a first sliding surface, a second sliding surface and a third sliding surface, wherein,
the first sliding surface is a steep sliding surface at the rear edge of the composite sliding slope, and the safety factor of the first sliding surface is F1；
The second sliding surface is a sliding surface with a gentle front edge of the composite sliding slope, and the safety factor of the second sliding surface is F2；
The third sliding surface is a shear fracture surface in the composite sliding slope body, and the safety coefficient of the third sliding surface is F3；
The internal shear fracture surface divides the composite sliding slope sliding body into two parts to form an active block and a passive block, and an included angle between the internal shear fracture surface and the first sliding surface is beta;
establishing a mathematical model according to the section geometry of the composite sliding slope;
constructing a limit balance equation based on the first sliding surface, the second sliding surface and the third sliding surface according to the mathematical model;
and simultaneously solving the extreme balance equation to obtain the integral safety coefficient F of the composite sliding slope and an included angle beta between the internal shearing and cracking surface and the first sliding surface when the first sliding surface, the second sliding surface and the third sliding surface simultaneously reach the extreme state, wherein F is F when the first sliding surface, the second sliding surface and the third sliding surface simultaneously reach the extreme state1＝F2＝F3；
And analyzing an included angle phi between the resistance on the internal shear fracture surface and the horizontal direction, an included angle (alpha + beta-phi) between the resistance on the internal shear fracture surface and the internal shear fracture surface, and obtaining a composite sliding slope analysis conclusion by the change relation between the integral safety coefficients F and beta when the first sliding surface, the second sliding surface and the third sliding surface reach the limit state simultaneously.
The composite sliding side slope analysis method provided by the invention can be further realized by adopting the following technical measures.
Preferably, the step of establishing a mathematical model according to the section geometry of the composite sliding slope specifically comprises the following steps:
constructing a plane geometric model of the composite sliding slope according to the actual shape of the composite sliding slope to obtain a polygon OABCDE;
according to the polygon OABCDE, setting parameters including: trailing edge sliding surface inclination angle alpha, leading edge sliding body height h and trailing edge sliding surface length L1Length L of leading edge sliding surface2Length L of CD4The included angle between the trailing edge sliding surface and the leading edge sliding surface of the sliding mass is & lt OAB, and the included angle between AE and the trailing edge sliding surface is beta; AE has a length L3(ii) a Wherein, the internal shear fracture surface AE has a resistance Q, the resistance Q has horizontal and vertical components in the internal shear fracture surface AE, and the included angle between the resistance Q and the horizontal direction is taken as a variable phi.
Preferably, according to the mathematical model, constructing a limit balance equation based on the first sliding surface, the second sliding surface, and the third sliding surface specifically includes the following steps:
and the safety factors of the first sliding surface, the second sliding surface and the third sliding surface are the ratio of the anti-sliding force and the downward-sliding force of the corresponding sliding surface.
Preferably, F is1The calculation method comprises the following steps:
OA is the first sliding surface, and the sliding surface friction angle and the sliding surface cohesive force on the OA surface are respectively set as
C0OA length L1Q is the resistance on the internal shear plane AE, and the included angle between Q and the horizontal direction is phi, then the safety coefficient on the OA sliding surface is as follows:
wherein, W1Is the weight of the trailing edge block;
T1slip resistance provided on the OA surface:
according to the equilibrium equation parallel to the OA plane, N1：
N1＝Qsin(α-φ)+W1cosα。
Preferably, F is2The calculation method comprises the following steps:
AB is a second sliding surface, assuming that the parameters of the shear strength of the AB sliding surface and the OA sliding surface are consistent, the length of the AB sliding surface is L2And the safety factor on the AB sliding surface is as follows:
W2is the weight of the leading edge block, T2Providing a slip resistance force on the AB slip surface.
As a preference, the first and second liquid crystal compositions are,
AE is a third slip surface which is a shear fracture surface with undetermined position, and the friction angle and cohesive force of the slip mass are respectively
C1And the acting force on the AE sliding surface only has a resistance Q, and the included angle between the Q and the AE sliding surface is (alpha + beta-phi), so that the safety coefficient on the AE sliding surface is as follows:
according to the geometric relationship of the model, L5Is the length of AD side, theta is the included angle between AD and AB, gamma is the included angle between OA and OE, deltarIs the rock density, g is the acceleration of gravity,
preferably, the step of performing simultaneous solution on the extreme balance equation to obtain the overall safety factors F and β of the composite sliding slope when the first sliding surface, the second sliding surface, and the third sliding surface reach the extreme state at the same time specifically includes the following steps:
setting a beta value, carrying out simultaneous operation on the extreme balance equations to obtain an equation set containing three equations and three unknowns, and solving to obtain a first set of solution;
continuously changing the value of beta, and respectively solving for each beta value to obtain a plurality of groups of solutions;
each group of solutions respectively comprises an included angle phi between the resisting force on the internal shear fracture surface and the horizontal direction, an included angle (alpha + beta-phi) between the resisting force on the internal shear fracture surface and the internal shear fracture surface, and the values of the integral safety coefficient F and beta when the first sliding surface, the second sliding surface and the third sliding surface reach the limit state simultaneously;
wherein, in the solving process, the friction angle and cohesive force of the sliding surface
C0Friction angle of sliding mass and cohesive force of sliding mass
C1Are all known.
In order to achieve the second object, the technical scheme of the composite sliding slope analysis device provided by the invention is as follows:
the invention provides a composite sliding slope analysis device, which comprises a first sliding surface, a second sliding surface and a third sliding surface,
the first sliding surface is a sliding surface with a steeper rear edge of the composite sliding slope, and the safety factor of the first sliding surface is F1；
The second sliding surface is a sliding surface with a relatively slow front edge of the composite sliding side slope, and the safety coefficient of the second sliding surface is F2；
The third sliding surface is a shear fracture surface in the composite sliding slope body, and the safety coefficient of the third sliding surface is F3；
The internal shear fracture surface divides the composite sliding slope sliding body into two parts to form an active block and a passive block, and an included angle between the internal shear fracture surface and the first sliding surface is beta;
the composite sliding slope analysis device comprises:
the mathematical model establishing unit is used for establishing a mathematical model according to the section geometric shape of the composite sliding slope;
the equation building unit is used for building a limit balance equation based on the first sliding surface, the second sliding surface and the third sliding surface according to the mathematical model;
and the equation solving unit is used for simultaneously solving the extreme balance equation to obtain the integral safety coefficient F of the composite sliding slope and an included angle beta between the internal shear fracture surface and the first slip surface when the first slip surface, the second slip surface and the third slip surface simultaneously reach the extreme state, wherein when the first slip surface, the second slip surface and the third slip surface simultaneously reach the extreme state, F is equal to F1＝F2＝F3；
And the analysis unit is used for analyzing an included angle phi between the resistance on the internal shear fracture surface and the horizontal direction, an included angle (alpha + beta-phi) between the resistance on the internal shear fracture surface and the internal shear fracture surface, and the change relationship between the overall safety coefficients F and beta when the first sliding surface, the second sliding surface and the third sliding surface reach the limit state simultaneously, so as to obtain the analysis conclusion of the composite sliding slope.
In order to achieve the third object, the storage medium provided by the present invention has the following technical solutions:
the storage medium provided by the invention stores a program for analyzing the composite sliding slope, and the program for analyzing the composite sliding slope is executed by the processor to realize the steps of the method for analyzing the composite sliding slope provided by the invention.
In order to achieve the fourth object, the present invention provides an electronic device comprising:
the electronic equipment provided by the invention comprises a memory and a processor, wherein the memory is stored with a program for analyzing the composite sliding slope, and the program for analyzing the composite sliding slope is executed by the processor to realize the steps of the method for analyzing the composite sliding slope provided by the invention.
The method, the device, the storage medium and the electronic equipment for analyzing the composite sliding slope can obtain the safety coefficient of the composite sliding slope under the condition of considering the internal shearing constraint and the position of the fracture surface of the internal shearing surface of the composite sliding slope, wherein a certain constraint mechanism of the internal shearing obstruction of the sliding slope on the integral stability of the sliding slope is known according to the analysis conclusion, and a new thought and a new method are provided for analyzing and researching the stability of the composite sliding slope.
Drawings
Various other advantages and benefits will become apparent to those of ordinary skill in the art upon reading the following detailed description of the preferred embodiments. The drawings are only for purposes of illustrating the preferred embodiments and are not to be construed as limiting the invention. Also, like reference numerals are used to refer to like parts throughout the drawings. In the drawings:
FIG. 1 is a simplified model diagram of a main sliding block and a sliding block of a composite sliding side slope;
FIGS. 2a and 2b are schematic diagrams of the transformation process of the main slider-anti-slider block in the composite sliding slope sliding process;
fig. 3 is a mathematical model diagram established according to a section geometry of the composite sliding slope in the composite sliding slope analysis method provided in the embodiment of the present invention;
fig. 4 is a schematic diagram of the stress of a trailing edge block in the composite sliding slope analysis method according to the embodiment of the present invention;
fig. 5 is a schematic diagram of the stress of the front edge block in the composite sliding slope analysis method according to the embodiment of the present invention;
FIG. 6 is a flow chart of steps of a composite sliding slope analysis method according to an embodiment of the present invention;
fig. 7 is a schematic diagram illustrating a signal flow direction relationship between functional modules of the composite sliding slope analysis apparatus according to an embodiment of the present invention;
fig. 8 is a schematic structural diagram of an operating device of the composite sliding slope analysis method according to the embodiment of the present invention.
Detailed Description
In view of this, the present invention provides a method and an apparatus for analyzing a composite sliding slope, a storage medium, and an electronic device, which can obtain a safety factor of the composite sliding slope under consideration of an internal shear constraint condition and a position of a fracture surface of an internal shear surface thereof, and are more practical.
After a great deal of research, the following results are found:
the turning of the sliding surface is an advantage for the anti-sliding stability of the side slope; because from the slip instability mechanism of the side slope, the slip surface is bent, which means that the slip direction of the slope body on the upper portion of the slip surface is necessarily changed at the bent portion, the shear failure is generated in the slope body along with the change of the slip direction, the shear resistance of the rock and soil body of the side slope plays a role in hindering the shear failure so as to play a role in restraining the change of the slip direction of the upper slope body, and the internal shear restraint mechanism is an important factor which is not negligible for the overall stability of the side slope.
The Vajont landslide simplification model and the sliding process are taken as examples for explanation (as shown in fig. 1 and fig. 2). The initial sliding direction of the upper driving slide block is v along the upper sliding surface1The sliding direction of the lower passive resistance sliding block is v2. In the deformation sliding process, when the front edge part of the upper main sliding block firstly passes over the turning part of the sliding surface, namely to become a part of the lower sliding block, the sliding direction is V1Mutation to v2Thereby causing the upper slider to slide at v12The direction generates shearing dislocation so as to generate a new shearing fracture surface, and the shearing resistance generated by the landslide body due to the strength of the landslide body has resisting and hindering effects on the formation of the internal shearing fracture surface, so that a constraint mechanism for the deformation and sliding motion of the composite landslide is formed, and the integral stability of the landslide is facilitated.
The rigid body Limit balance Method (LEM) is a mainstream Method for analyzing the stability of a side slope, and is a Method for analyzing the stress state of the side slope according to the static balance principle and evaluating the stability of the side slope by using the relationship between the anti-slip force and the gliding force of the side slope along a potential slip surface. Since early grading method of slope stability analysis proposed by Fellenius in 1927, the rigid body limit balance analysis method has matured very well through the development of nearly one hundred years and becomes the first-choice analysis method recommended by various slope specifications. In general, the development of the ultimate balance bar method for decades is said to be centered around various methods such as dividing the bar block, assuming various aspects such as the magnitude, direction and position of the acting force on the bar block interface, and evaluating the Safety Factor (FOS).
Aiming at the problem of evaluating the stability of the composite sliding slope with the front gradual and the back steep, the internal shear fracture surface except the potential sliding surface is added to be used as a third sliding surface, and a rigid body limit balance method considering the internal shear constraint mechanism of the composite sliding slope is deduced. The three sliding surfaces simultaneously enter the limit balance state to be solved simultaneously, the position of the shear fracture surface in the side slope can be determined, the whole safety stability coefficient of the side slope can be obtained, and a new thought and method are provided for the stability calculation of the composite sliding side slope with the characteristics of gradual front and steep back.
To further illustrate the technical means and effects of the present invention adopted to achieve the predetermined objects, the following detailed description of the method, device, storage medium and electronic device for analyzing a composite sliding slope according to the present invention will be provided with reference to the accompanying drawings and preferred embodiments. In the following description, different "one embodiment" or "an embodiment" refers to not necessarily the same embodiment. Furthermore, the particular features, structures, or characteristics may be combined in any suitable manner in one or more embodiments.
The term "and/or" herein is merely an association describing an associated object, meaning that three relationships may exist, e.g., a and/or B, with the specific understanding that: both a and B may be included, a may be present alone, or B may be present alone, and any of the three cases can be provided.
Embodiment of method for analyzing composite sliding slope
Referring to fig. 1, the present invention provides a composite sliding slope analysis method,
the composite sliding side slope comprises a first sliding surface, a second sliding surface and a third sliding surface, wherein,
the first sliding surface is a sliding surface with a steeper rear edge of the composite sliding slope, and the safety factor is F1；
The second sliding surface is a sliding surface with a relatively slow front edge of the composite sliding slope, and the safety factor is F2；
The third sliding surface is a shear fracture surface in the composite sliding slope body, and the safety coefficient is F3；
The internal shear fracture surface divides the composite sliding slope sliding body into two parts to form an active block and a passive block, and the included angle between the internal shear fracture surface and the first sliding surface is beta;
step S1: establishing a mathematical model according to the section geometry of the composite sliding slope;
step S2: constructing a limit balance equation based on the first sliding surface, the second sliding surface and the third sliding surface according to the mathematical model;
step S3: and simultaneously solving a limit balance equation to obtain an integral safety coefficient F of the composite sliding slope when the first sliding surface, the second sliding surface and the third sliding surface reach a limit state simultaneously and an included angle beta between the internal shear fracture surface and the first sliding surface, wherein when the first sliding surface, the second sliding surface and the third sliding surface reach the limit state simultaneously, F is F1＝F2＝F3；
Step S4: and analyzing the change relationship between the resistance on the internal shear fracture surface and the horizontal direction, the included angle (alpha + beta-phi) between the resistance on the internal shear fracture surface and the internal shear fracture surface, and the overall safety coefficient F and the change relationship between beta when the first sliding surface, the second sliding surface and the third sliding surface reach the limit state at the same time, so as to obtain the analysis conclusion of the composite sliding slope.
The method for establishing the mathematical model according to the tangent plane geometric shape of the composite sliding slope specifically comprises the following steps:
constructing a plane geometric model of the composite sliding slope according to the actual shape of the composite sliding slope to obtain a polygon OABCDE;
according to the polygon OABCDE, setting parameters including: trailing edge sliding surface inclination angle alpha, leading edge sliding body height h and trailing edge sliding surface length L1Length L of leading edge sliding surface2Length L of CD4The included angle between the trailing edge sliding surface and the leading edge sliding surface of the sliding mass is & lt OAB, and the included angle between AE and the trailing edge sliding surface is beta; AE has a length L3(ii) a Wherein, the internal shear fracture surface AE has a resistance Q, the resistance Q has horizontal and vertical components in the internal shear fracture surface AE, and the included angle between the resistance Q and the horizontal direction is taken as a variable phi.
The method specifically comprises the following steps of constructing a limit balance equation based on a first sliding surface, a second sliding surface and a third sliding surface according to a mathematical model:
the safety coefficient of the first sliding surface, the second sliding surface and the third sliding surface is the ratio of the anti-sliding force and the downward sliding force of the corresponding sliding surfaces.
Wherein, F1The calculation method comprises the following steps:
OA is the first sliding surface, and the sliding surface friction angle and the sliding surface cohesive force on the OA surface are respectively set as
C0OA length L1Q is the resistance on the internal shear plane AE, and the included angle between Q and the horizontal direction is phi, then the safety coefficient on the OA sliding surface is as follows:
wherein, W1Is the weight of the trailing edge block;
T1slip resistance provided on the OA surface:
according to the equilibrium equation parallel to the OA plane, N1：
N1＝Qsin(α-φ)+W1cosα。
Wherein, F2The calculation method comprises the following steps:
AB is a second sliding surface, assuming that the parameters of the shear strength of the AB sliding surface and the OA sliding surface are consistent, the length of the AB sliding surface is L2And the safety factor on the AB sliding surface is as follows:
W2is the weight of the leading edge block, T2Providing a slip resistance force on the AB slip surface.
Wherein,
AE is a third slip surface which is a shear fracture surface with undetermined position, and the friction angle and cohesive force of the slip mass are respectively
C1And the acting force on the AE sliding surface only has a resistance Q, and the included angle between the Q and the AE sliding surface is (alpha + beta-phi), so that the safety coefficient on the AE sliding surface is as follows:
according to the geometric relationship of the model, L5Is the length of AD side, theta is the included angle between AD and AB, gamma is the included angle between OA and OE, deltarIs the rock density, g is the acceleration of gravity,
the method specifically comprises the following steps of solving a limit balance equation in a simultaneous mode to obtain the overall safety factors F and beta of the composite sliding slope when the first sliding surface, the second sliding surface and the third sliding surface reach the limit state simultaneously:
setting a beta value, performing simultaneous operation on a limit balance equation to obtain an equation set containing three equations and three unknowns, and solving to obtain a first set of solution;
continuously changing the value of beta, and respectively solving each beta value to obtain a plurality of groups of solutions;
each group of solutions respectively comprises an included angle phi between the resistance force on the internal shear fracture surface and the horizontal direction, an included angle (alpha + beta-phi) between the resistance force on the internal shear fracture surface and the internal shear fracture surface, and the values of the integral safety coefficients F and beta when the first sliding surface, the second sliding surface and the third sliding surface simultaneously reach the limit state;
wherein, in the solving process, the friction angle and cohesive force of the sliding surface
C0Friction angle of sliding mass and cohesive force of sliding mass
C1Are all known.
Embodiment of a composite sliding slope analysis device
Referring to fig. 2, the present invention provides a composite sliding slope analysis apparatus, the composite sliding slope includes a first sliding surface, a second sliding surface and a third sliding surface, wherein,
the first sliding surface is a sliding surface with a steeper rear edge of the composite sliding slope, and the safety factor is F1；
The second sliding surface is a sliding surface with a relatively slow front edge of the composite sliding slope, and the safety factor is F2；
Third sliding surfaceIs a shear fracture surface in the composite sliding slope body, and the safety coefficient is F3；
The internal shear fracture surface divides the composite sliding slope sliding body into two parts to form an active block and a passive block, and the included angle between the internal shear fracture surface and the first sliding surface is beta;
the composite sliding slope analysis device comprises:
the mathematical model establishing unit is used for establishing a mathematical model according to the section geometric shape of the composite sliding slope;
the equation building unit is used for building a limit balance equation based on the first sliding surface, the second sliding surface and the third sliding surface according to the mathematical model;
and the equation solving unit is used for simultaneously solving the extreme balance equation to obtain the integral safety coefficient F of the composite sliding slope and the included angle beta between the internal shear fracture surface and the first sliding surface when the first sliding surface, the second sliding surface and the third sliding surface simultaneously reach the extreme state, wherein F is F when the first sliding surface, the second sliding surface and the third sliding surface simultaneously reach the extreme state1＝F2＝F3；
And the analysis unit is used for analyzing an included angle phi between the resistance on the internal shear fracture surface and the horizontal direction, an included angle (alpha + beta-phi) between the resistance on the internal shear fracture surface and the internal shear fracture surface, and the change relationship between the integral safety coefficients F and beta when the first sliding surface, the second sliding surface and the third sliding surface reach the limit state simultaneously to obtain the analysis conclusion of the composite sliding slope.
Storage Medium embodiment
The storage medium provided by the invention stores a program for analyzing the composite sliding slope, and the program for analyzing the composite sliding slope is executed by the processor to realize the steps of the method for analyzing the composite sliding slope provided by the invention.
Electronic device embodiment
The electronic equipment provided by the invention comprises a memory and a processor, wherein the memory is stored with a program for analyzing the composite sliding slope, and the program for analyzing the composite sliding slope is executed by the processor to realize the steps of the method for analyzing the composite sliding slope provided by the invention.
Referring to fig. 3, fig. 3 is a schematic structural diagram of a composite sliding slope analysis device in a hardware operating environment according to an embodiment of the present invention.
As shown in fig. 3, the composite sliding slope analysis apparatus may include: a processor 1001, such as a Central Processing Unit (CPU), a communication bus 1002, a user interface 1003, a network interface 1004, and a memory 1005. Wherein a communication bus 1002 is used to enable connective communication between these components. The user interface 1003 may include a Display screen (Display), an input unit such as a Keyboard (Keyboard), and the optional user interface 1003 may also include a standard wired interface, a wireless interface. The network interface 1004 may optionally include a standard wired interface, a WIreless interface (e.g., a WIreless-FIdelity (WI-FI) interface). The Memory 1005 may be a Random Access Memory (RAM) Memory, or may be a Non-Volatile Memory (NVM), such as a disk Memory. The memory 1005 may alternatively be a storage device separate from the processor 1001.
It will be appreciated by those skilled in the art that the configuration shown in figure 3 does not constitute a limitation of the composite sliding slope analysis apparatus and may include more or fewer components than shown, or some components may be combined, or a different arrangement of components.
As shown in fig. 3, the memory 1005, which is a storage medium, may include therein an operating system, a data storage module, a network communication module, a user interface module, and a composite sliding slope analysis program.
In the composite sliding slope analysis device shown in fig. 3, the network interface 1004 is mainly used for data communication with a network server; the user interface 1003 is mainly used for data interaction with a user; the processor 1001 and the memory 1005 of the composite sliding slope analysis device according to the present invention may be disposed in the composite sliding slope analysis device, and the composite sliding slope analysis device calls the composite sliding slope analysis program stored in the memory 1005 through the processor 1001, and executes the composite sliding slope analysis method according to the embodiment of the present invention.
Example of calculation
In the embodiment, the friction angle of the sliding surface is 10 degrees, and the cohesive force of the sliding surface is 0 MPa; the friction angle of the sliding mass is 33 degrees, the cohesive force of the sliding mass is 0.1MPa, and the results are shown in Table 1.
TABLE 1 results of calculation
As can be seen from Table 1, the direction of action of the resistive force Q varies greatly with the angle β, from-8.31 to 56.95, while the angle (α + β - φ), i.e., the angle between resistive force and shear plane AE, varies little, from 54.31 to 47.38. The calculation is carried out under the same intensity parameters, and the calculation result obtained by the proposed method shows that the safety factor is minimum when the beta is 50 degrees, and the minimum value is 0.76 (under the same parameter calculation condition, the safety factor calculated by the Morgan-Prolese method is smaller and is 0.63). The sliding surface friction angle is calculated within the range of 10 degrees to 12 degrees (the result of the existing research shows that the Vajont sliding surface friction angle does not exceed 12 degrees), the result of the proposed analysis method is 0.7-0.9, and is always larger than the calculation result of the Morstein-Proles method. The conclusion shows that the internal shear obstruction of the landslide has a certain constraint mechanism on the overall stability of the landslide.
The units of physical quantities referred to in the application documents are all international units.
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 once they learn of the basic inventive concepts. Therefore, it is intended that the appended claims be interpreted as including preferred embodiments and all such alterations and modifications as fall within the scope of the invention.
It will be apparent to those skilled in the art that various changes and modifications may be made in the present invention without departing from the spirit and scope of the invention. Thus, if such modifications and variations of the present invention fall within the scope of the claims of the present invention and their equivalents, the present invention is also intended to include such modifications and variations.
Claims (10)
1. A composite sliding side slope analysis method is characterized in that,
the composite sliding side slope comprises a first sliding surface, a second sliding surface and a third sliding surface, wherein,
the first sliding surface is a sliding surface with a steeper rear edge of the composite sliding slope, and the safety factor of the first sliding surface is F1；
The second sliding surface is a sliding surface with a gentle front edge of the composite sliding slope, and the safety factor of the second sliding surface is F2；
The third sliding surface is a shear fracture surface in the composite sliding slope body, and the safety coefficient of the third sliding surface is F3；
The internal shear fracture surface divides the composite sliding slope sliding body into two parts to form an active block and a passive block, and an included angle between the internal shear fracture surface and the first sliding surface is beta;
establishing a mathematical model according to the section geometry of the composite sliding slope;
constructing a limit balance equation based on the first sliding surface, the second sliding surface and the third sliding surface according to the mathematical model;
and simultaneously solving the extreme balance equation to obtain the integral safety coefficient F of the composite sliding slope and an included angle beta between the internal shearing and cracking surface and the first sliding surface when the first sliding surface, the second sliding surface and the third sliding surface simultaneously reach the extreme state, wherein F is F when the first sliding surface, the second sliding surface and the third sliding surface simultaneously reach the extreme state1＝F2＝F3；
And analyzing an included angle phi between the resistance on the internal shear fracture surface and the horizontal direction, and an included angle (alpha + beta-phi) between the resistance on the internal shear fracture surface and the internal shear fracture surface, wherein alpha is a trailing edge sliding surface inclination angle, and the change relationship between the integral safety coefficients F and beta when the first sliding surface, the second sliding surface and the third sliding surface reach the limit state simultaneously is analyzed to obtain the analysis conclusion of the composite sliding slope.
2. The method for analyzing a composite sliding slope according to claim 1, wherein the step of establishing a mathematical model according to the section geometry of the composite sliding slope specifically comprises the steps of:
constructing a plane geometric model of the composite sliding slope according to the actual shape of the composite sliding slope to obtain a polygon OABCDE;
according to the polygon OABCDE, setting parameters, including: trailing edge sliding surface inclination angle alpha, leading edge sliding body height h and trailing edge sliding surface length L1Length L of leading edge sliding surface2Length L of CD4The included angle between the trailing edge sliding surface and the leading edge sliding surface of the sliding mass is & lt OAB, and the included angle between AE and the trailing edge sliding surface is beta; AE has a length L3(ii) a Wherein, the internal shear fracture surface AE has a resistance Q, the resistance Q has horizontal and vertical components in the internal shear fracture surface AE, and the included angle between the resistance Q and the horizontal direction is taken as a variable phi.
3. The composite sliding slope analysis method according to claim 1, wherein the building of the extreme balance equation based on the first, second and third sliding surfaces according to the mathematical model specifically comprises the following steps:
and the safety factors of the first sliding surface, the second sliding surface and the third sliding surface are the ratio of the anti-sliding force and the downward-sliding force of the corresponding sliding surface.
4. The composite sliding slope analysis method according to claim 2, wherein F is1The calculation method comprises the following steps:
OA is the first sliding surface, and the sliding surface friction angle and the sliding surface cohesive force on the OA surface are respectively set as
C0OA length L1Q is an internal shear planeAnd the resistance on AE and the included angle between Q and the horizontal direction is phi, the safety coefficient on the OA sliding surface is as follows:
wherein, W1Is the weight of the trailing edge block;
T1resistance to slip provided on OA surface:
according to the equilibrium equation parallel to the OA plane, N1：
N1＝Qsin(α-φ)+W1cosα。
5. The composite sliding slope analysis method according to claim 4, wherein F2The calculation method comprises the following steps:
AB is a second sliding surface, assuming that the parameters of the shear strength of the AB sliding surface and the OA sliding surface are consistent, the length of the AB sliding surface is L2And the safety factor on the AB sliding surface is as follows:
N2＝Qsinφ+W2
W2is the weight of the leading edge block, T2Providing a slip resistance force on the AB slip surface.
6. The composite sliding side slope analysis method according to claim 5,
AE is third slipA surface which is a shear fracture surface with an undetermined position, and the friction angle and cohesive force of the sliding mass are respectively
C1And the acting force on the AE sliding surface only has a resistance Q, and the included angle between the Q and the AE sliding surface is (alpha + beta-phi), so that the safety coefficient on the AE sliding surface is as follows:
according to the geometric relationship of the model, L5Is the length of AD side, theta is the included angle between AD and AB, gamma is the included angle between OA and OE, deltarIs the rock density, g is the acceleration of gravity,
7. the method for analyzing the composite sliding slope according to claim 1, wherein the step of performing simultaneous solution on the extreme balance equation to obtain the overall safety factors F and β of the composite sliding slope when the first sliding surface, the second sliding surface and the third sliding surface reach the extreme state at the same time specifically comprises the following steps:
setting a beta value, carrying out simultaneous operation on the extreme balance equations to obtain an equation set containing three equations and three unknowns, and solving to obtain a first set of solution;
continuously changing the value of beta, and respectively solving for each beta value to obtain a plurality of groups of solutions;
each group of solutions respectively comprises an included angle phi between the resistance force on the internal shear fracture surface and the horizontal direction, an included angle (alpha + beta-phi) between the resistance force on the internal shear fracture surface and the internal shear fracture surface, and the values of the integral safety coefficients F and beta when the first sliding surface, the second sliding surface and the third sliding surface simultaneously reach the limit state;
wherein, in the solving process, the friction angle and cohesive force of the sliding surface
C0Friction angle of sliding mass and cohesive force of sliding mass
C1Are all known.
8. A composite sliding side slope analysis device is characterized in that the composite sliding side slope comprises a first sliding surface, a second sliding surface and a third sliding surface, wherein,
the first sliding surface is a sliding surface with a steeper rear edge of the composite sliding slope, and the safety factor of the first sliding surface is F1；
The second sliding surface is a sliding surface with a gentle front edge of the composite sliding slope, and the safety factor of the second sliding surface is F2；
The third sliding surface is a shear fracture surface in the composite sliding slope body, and the safety coefficient of the third sliding surface is F3；
The internal shear fracture surface divides the composite sliding slope sliding body into two parts to form an active block and a passive block, and an included angle between the internal shear fracture surface and the first sliding surface is beta;
the composite sliding slope analysis device comprises:
the mathematical model establishing unit is used for establishing a mathematical model according to the section geometric shape of the composite sliding slope;
the equation building unit is used for building a limit balance equation based on the first sliding surface, the second sliding surface and the third sliding surface according to the mathematical model;
and the equation solving unit is used for simultaneously solving the extreme balance equation to obtain the integral safety coefficient F of the composite sliding slope and an included angle beta between the internal shear fracture surface and the first slip surface when the first slip surface, the second slip surface and the third slip surface simultaneously reach the extreme state, wherein when the first slip surface, the second slip surface and the third slip surface simultaneously reach the extreme state, F is equal to F1＝F2＝F3；
And the analysis unit is used for analyzing an included angle phi between the resistance on the internal shear fracture surface and the horizontal direction, an included angle (alpha + beta-phi) between the resistance on the internal shear fracture surface and the internal shear fracture surface, and the change relationship between the overall safety coefficients F and beta when the first sliding surface, the second sliding surface and the third sliding surface reach the limit state simultaneously, so as to obtain the analysis conclusion of the composite sliding slope.
9. A storage medium having stored thereon a program for composite sliding slope analysis, the program when executed by a processor implementing the steps of the composite sliding slope analysis method according to any one of claims 1-7.
10. An electronic device comprising a memory and a processor, the memory having stored thereon a program of composite sliding slope analysis, the program of composite sliding slope analysis when executed by the processor implementing the steps of the composite sliding slope analysis method of any of claims 1-7.
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