CN-122021019-A - Dangerous rock movement characteristic quantitative calculation method under frost heaving condition in severe cold region

Abstract

The invention relates to the technical field of geological disaster investigation and protection, in particular to a dangerous rock movement characteristic quantitative calculation method under frost heaving conditions in severe cold areas, which comprises the following steps of S1, calculating the sliding force and the sliding resistance of a dangerous rock, S2, carrying out initial stage analysis based on the sliding force and the sliding resistance obtained in the S1 to obtain the horizontal movement distance of the rock, S3, carrying out oblique polishing stage analysis to obtain the farthest horizontal distance, S4, carrying out rolling stage analysis to obtain the maximum rolling distance of the rock, S5, obtaining horizontal total displacement according to the horizontal movement distance, the farthest horizontal distance and the maximum rolling distance of the rock, reflecting the movement track of the dangerous rock through the horizontal total displacement, and more accurately simulating the dangerous rock movement path.

Inventors

• Xing Jingfang
• LI YUANZHONG
• HUANG ZHIYI
• LI ZHIYUAN
• ZHAO DINGMING
• WU YI
• ZHANG XUZHU
• LI PU
• CHENG GUANGLI

Assignees

• 中国电建集团北京勘测设计研究院有限公司

Dates

Publication Date

20260512

Application Date

20260130

Claims (10)

1. 1. The quantitative calculation method for the motion characteristics of the dangerous rock body under the frost heaving condition in the severe cold region is characterized by comprising the following steps of: s1, calculating the sliding force and the sliding resistance of a dangerous rock mass; S2, carrying out initial stage analysis based on the sliding force and the anti-sliding force obtained in the step S1 to obtain the horizontal movement distance of the rock mass; S3, performing oblique polishing stage analysis to obtain the farthest horizontal distance; S4, analyzing a rolling stage to obtain the maximum rolling distance of the rock mass; s5, obtaining horizontal total displacement according to the horizontal movement distance of the rock mass, the farthest horizontal distance and the maximum distance of rock mass rolling, and reflecting the movement track of the dangerous rock mass through the horizontal total displacement, wherein the method is specifically calculated by the following formula: ; In the above-mentioned method, the step of, Representing the total displacement of the level and, Representing the horizontal movement distance of the rock mass, Indicating the furthest horizontal distance from which the device is to be positioned, Indicating the maximum distance of rolling of the rock mass, Representing the gradient of the different gradient sections.
2. 2. The quantitative calculation method for the motion characteristics of the dangerous rock under the frost heaving condition in the severe cold region according to claim 1, wherein the sliding force in the step S1 is calculated by the following formula: ; In the above formula, T represents the sliding force, Representing the density of the rock mass, Representing the volume of the dangerous rock mass, g represents the gravitational acceleration, Indicating the acceleration of the earthquake motion, Indicating the area of the frost heaving crack, Representing the horizontal distance of the centre of gravity of the dangerous rock mass to the overturning point, Indicating the frost heaving force of the ice.
3. 3. The method for quantitatively calculating the motion characteristics of the dangerous rock under the frost heaving condition in the severe cold region according to claim 2, wherein the frost heaving force of the ice is calculated by the following formula: ; In the above-mentioned method, the step of, Indicating the frost heaving force of the glass fiber, Indicating the coefficient of expansion in the frozen state, Indicating the width of the crack opening, Indicating the temperature difference of freezing, The elastic modulus of the rock mass is represented, The poisson ratio of ice, r denotes the radius of curvature of the crack tip; Representing the poisson's ratio of the rock mass, The elastic modulus of ice is shown.
4. 4. The method for quantitatively calculating the motion characteristics of the dangerous rock under the frost heaving condition in the severe cold region according to claim 2, wherein the anti-slip force is calculated by the following formula: ; In the above-mentioned method, the step of, Indicating the anti-slip force of the shoe, The standard value of the tensile strength of the rock mass is represented, Representing the vertical distance from the upper end of the trailing edge crack to the lower end of the non-penetrated section, Representing the depth of the trailing edge fracture, Represents the inclination angle of the trailing edge fracture, Representing the contact surface inclination angle of the dangerous rock mass and the base.
5. 5. The quantitative calculation method for the movement characteristics of the dangerous rock mass under the frost heaving condition of the severe cold region according to claim 4, wherein in the step S2, the horizontal movement distance of the rock mass is specifically calculated by the following formula: ; In the above-mentioned method, the step of, Representing the horizontal movement distance of the rock mass, Representing the component of the initial velocity in the x-direction, Indicating the falling height at the initial stage, Representing the acceleration of the rock mass.
6. 6. The method for quantitatively calculating the motion characteristics of the dangerous rock under the frost heaving condition in the severe cold region according to claim 5, wherein the acceleration and the initial velocity of the rock are calculated by the following formula: ; ; ; In the above-mentioned method, the step of, Indicating the initial velocity of the vehicle, Representing the length of the diagonal of the rock mass, The angular rotation of the rock mass is indicated, Indicating the angle between the direction of acceleration and the horizontal plane, The angle between the direction of acceleration and the vertical direction is shown.
7. 7. The quantitative calculation method for the motion characteristics of the dangerous rock under the frost heaving condition of the severe cold region according to claim 6, wherein the furthest horizontal distance in the step S3 is calculated by the following formula: ; In the above-mentioned method, the step of, Indicating the furthest horizontal distance from which the device is to be positioned, An ordinate value representing the intersection of the broken section 2 and the y-axis, Representing the component of the velocity in the x-direction after the first collision of the rock mass leaving the matrix with the slope, Representing the component of the velocity in the y-direction after the first collision of the rock mass leaving the matrix with the slope, Representing the downhill segment angle.
8. 8. The method for quantitatively calculating the motion characteristics of the dangerous rock under the frost heaving condition in the severe cold region according to claim 7, 、 Specifically, the method is calculated by the following formula: ; In the above-mentioned method, the step of, Represents the slope angle of the slope, e represents the collision recovery coefficient, Representing the component of the velocity in the x-direction before the first collision of the rock mass exiting the parent rock with the slope, Representing the component of the velocity in the y-direction before the first collision of the rock mass leaving the matrix with the slope.
9. 9. The method for quantitatively calculating the motion characteristics of the dangerous rock under the frost heaving condition in the severe cold region according to claim 8, 、 Specifically, the method is calculated by the following formula: 。
10. 10. the method for quantitatively calculating the motion characteristics of the dangerous rock mass under the frost heaving condition of the severe cold region according to claim 8, wherein in the step S4, the maximum rolling distance of the rock mass is calculated by the following formula: ; In the above-mentioned method, the step of, The heights of the different slope sections are equal to each other, Representing the rolling friction coefficient for each different slope segment, Representing the gradient of the different gradient sections, Representing the component of the velocity in the x-direction after a second collision of the rock mass leaving the matrix with the slope, Representing the component of the velocity in the y-direction after a second collision of the rock mass leaving the matrix with the slope, Representing the maximum distance of rock mass rolling.

Description

Dangerous rock movement characteristic quantitative calculation method under frost heaving condition in severe cold region Technical Field The invention relates to the technical field of geological disaster investigation and protection, in particular to a dangerous rock movement characteristic quantitative calculation method under frost heaving conditions in severe cold areas. Background The pumped storage power station is used as a core adjusting unit of a novel power system, the construction of the pumped storage power station is gradually expanded to a complex structural area, and the geological safety problem and geological disaster become key factors for restricting engineering construction and benefit. In geological disasters, the impact of dangerous rock collapse disasters on hydraulic engineering safety is increasingly remarkable, and the construction safety of energy bases is threatened at any time. The intelligent sensing, accurate early warning and motion prediction of dangerous rock collapse hidden danger are realized, and the intelligent early warning and motion prediction method is a great scientific difficulty for effectively aiming at brittle failure disasters and scientifically implementing disaster prevention and reduction. At present, in the field of dangerous rock falling movement characteristics research, most of dangerous rock falling movement tracks are mainly researched by taking natural states into consideration, and researches on severe cold and low temperature conditions are less. Such as the northeast region, the annual low temperature causes water in the rock cracks to ice, and the expansion effect on the rock is difficult to be ignored. Along with the increasing development of hydraulic engineering in severe cold areas, research on the movement track of the falling dangerous rock body under frost heaving conditions is carried out, and the method has very important practical significance in reasonable planning and avoiding of the subsequent hydraulic engineering. Therefore, it is needed to provide a quantitative calculation method for dangerous rock movement characteristics under frost heaving conditions in severe cold areas, which is more accurate than the prior art in simulating dangerous rock movement paths. Disclosure of Invention The invention solves the technical problems existing in the prior art, and provides a dangerous rock movement characteristic quantitative calculation method under frost heaving conditions in severe cold regions. In order to achieve the above purpose, the technical scheme adopted by the invention is as follows: a dangerous rock movement characteristic quantitative calculation method under frost heaving conditions in severe cold areas comprises the following steps: s1, calculating the sliding force and the sliding resistance of a dangerous rock mass; S2, carrying out initial stage analysis based on the sliding force and the anti-sliding force obtained in the step S1 to obtain the horizontal movement distance of the rock mass; S3, performing oblique polishing stage analysis to obtain the farthest horizontal distance; S4, analyzing a rolling stage to obtain the maximum rolling distance of the rock mass; s5, obtaining horizontal total displacement according to the horizontal movement distance of the rock mass, the farthest horizontal distance and the maximum distance of rock mass rolling, and reflecting the movement track of the dangerous rock mass through the horizontal total displacement, wherein the method is specifically calculated by the following formula: ; In the above-mentioned method, the step of, Representing the total displacement of the level and,Representing the horizontal movement distance of the rock mass,Indicating the furthest horizontal distance from which the device is to be positioned,Indicating the maximum distance of rolling of the rock mass,Representing the gradient of the different gradient sections. Further, the sliding force in the step S1 is calculated by the following formula: ; In the above formula, T represents the sliding force, Representing the density of the rock mass,Representing the volume of the dangerous rock mass, g represents the gravitational acceleration,Indicating the acceleration of the earthquake motion,Indicating the area of the frost heaving crack,Representing the horizontal distance of the centre of gravity of the dangerous rock mass to the overturning point,Indicating the frost heaving force of the ice. Further, the frost heaving force of ice is calculated by the following formula: ; In the above-mentioned method, the step of, Indicating the frost heaving force of the glass fiber,Indicating the coefficient of expansion in the frozen state,Indicating the width of the crack opening,Indicating the temperature difference of freezing,The elastic modulus of the rock mass is represented,The poisson ratio of ice, r denotes the radius of curvature of the crack tip; Representing the poisson's ratio of the rock mass,