Calculation method, device, equipment and medium for the impact range of slope dangerous rock mass collapse

Abstract

The present invention discloses a method, device, equipment and medium for calculating the collapse impact range of dangerous rock masses on slopes. The method includes: obtaining the topographic and geomorphic characteristics, rock and soil characteristics and dangerous rock mass distribution characteristics of a target slope; determining the rolling friction coefficient and rebound coefficient of the target slope based on the rock and soil characteristics; determining the slope type where the dangerous rock mass is located based on the topographic and geomorphic characteristics and the dangerous rock mass distribution characteristics; and calculating the collapse impact range of the dangerous rock mass based on the rolling friction coefficient, the rebound coefficient and the slope type. The present invention can reasonably determine the rolling friction coefficient, the rebound coefficient and the slope type of the target slope based on the topographic and geomorphic characteristics, rock and soil characteristics and dangerous rock mass distribution characteristics of the target slope, and then calculate the collapse impact range of dangerous rock masses of different slope types based on the determined rolling friction coefficient and rebound coefficient. The method has high accuracy and can provide reasonable guidance for slope collapse prevention and control.

Description

Technical Field

[0001] The present invention relates to the technical field of slope prevention and control, and in particular to a method, device, terminal equipment and computer-readable storage medium for calculating the impact range of collapse of dangerous rock masses on slopes. Background Art

[0002] Collapse, the most common geological hazard, is categorized into soil collapse, rock collapse, and rock-soil collapse. Rock collapse and rock-soil collapse primarily occur on rock slopes or rock-soil slopes. Compared to soil slopes, rock slopes are steeper, pose a greater threat from a greater distance, are more destructive, and have a more complex structure. Therefore, rock slopes have become a key and challenging area for geological hazard prevention and control. Due to their widespread and dispersed distribution, rock slopes pose a serious threat to human production and life in the surrounding areas. Therefore, it is necessary to calculate the impact range of the collapse of dangerous rock masses on slopes to assess their hazard potential.

[0003] Currently, commonly used methods for calculating the collapse impact range of dangerous rock masses on slopes include the maximum rolling distance calculation method given in the collapse prevention and control engineering survey specifications and numerical simulation methods. However, the collapse impact range of dangerous rock masses on slopes calculated by these methods is less accurate, making it difficult to provide reasonable guidance for slope collapse prevention and control. Summary of the Invention

[0004] The present invention provides a calculation method, device, equipment and medium for the collapse influence range of dangerous rock masses on slopes, so as to solve the problem of low accuracy of the collapse influence range of dangerous rock masses on slopes obtained by calculating through existing technologies. The method can reasonably determine the rolling friction coefficient, rebound coefficient and slope type of the target slope according to the topographic and geomorphological characteristics, rock and soil characteristics and dangerous rock mass distribution characteristics of the target slope, and then calculate the collapse influence range of dangerous rock masses of different slope types according to the determined rolling friction coefficient and rebound coefficient. The method has high accuracy and can provide reasonable guidance for the prevention and control of slope collapse.

[0005] In order to solve the above technical problems, a first aspect of an embodiment of the present invention provides a method for calculating the impact range of a slope dangerous rock mass collapse, comprising:

[0006] Obtain the topographic and geomorphic characteristics, rock and soil characteristics, and dangerous rock mass distribution characteristics of the target slope;

[0007] Determining the rolling friction coefficient and rebound coefficient of the target slope according to the rock and soil characteristics;

[0008] Determining the slope type at the location of the dangerous rock mass based on the topographic and geomorphic characteristics and the distribution characteristics of the dangerous rock mass;

[0009] The collapse impact range of the dangerous rock mass is calculated according to the rolling friction coefficient, the rebound coefficient and the slope type.

[0010] As a preferred solution, the target slope includes a slope area and a threat area;

[0011] Then, determining the rolling friction coefficient and rebound coefficient of the target slope according to the rock and soil characteristics specifically includes:

[0012] Determining the rolling friction coefficient of the slope area according to the rock and soil characteristics of the slope area;

[0013] The rolling friction coefficient and the rebound coefficient of the threat area are determined according to the rock and soil characteristics of the threat area.

[0014] As a preferred solution, the slope type includes a linear slope;

[0015] Then, calculating the collapse impact range of the dangerous rock mass according to the rolling friction coefficient, the rebound coefficient and the slope type includes:

[0016] When the slope type is a linear slope and the threat area is a horizontal terrain, the collapse impact range of the dangerous rock mass is calculated according to the rolling friction coefficient and the rebound coefficient using the following formula:

[0017]

[0018] When the slope type is a linear slope and the terrain of the threat area is inclined toward the slope area, the collapse impact range of the dangerous rock mass is calculated according to the rolling friction coefficient and the rebound coefficient using the following formula:

[0019]

[0020] When the slope type is a linear slope and the terrain of the threat area is inclined away from the slope area, the collapse impact range of the dangerous rock mass is calculated according to the rolling friction coefficient and the rebound coefficient using the following formula:

[0021]

[0022] Among them, S′ is the impact range of the collapse, h is the slope height, R t is the tangential rebound coefficient, θ1 is the slope, f is the rolling friction coefficient of the slope area, f′ is the rolling friction coefficient of the threat area, R nis the normal rebound coefficient, θ2 is the angle at which the terrain in the threat area tilts toward or away from the slope area, and θ3 is the decomposition angle of the normal velocity and tangential velocity of the dangerous rock mass in the threat area.

[0023] As a preferred solution, the slope type also includes a curved slope;

[0024] Then, the calculation of the collapse impact range of the dangerous rock mass according to the rolling friction coefficient, the rebound coefficient and the slope type further includes:

[0025] When the slope type is a curved slope and the threat area is a horizontal terrain, the collapse impact range of the dangerous rock mass is calculated according to the rolling friction coefficient and the rebound coefficient using the following formula:

[0026]

[0027] When the slope type is a curved slope and the terrain of the threat area is inclined toward the slope area, the collapse impact range of the dangerous rock mass is calculated according to the rolling friction coefficient and the rebound coefficient using the following formula:

[0028]

[0029] When the slope type is a curved slope and the terrain of the threat area is inclined away from the slope area, the collapse impact range of the dangerous rock mass is calculated according to the rolling friction coefficient and the rebound coefficient using the following formula:

[0030]

[0031] Among them, S′ is the impact range of the collapse, h is the slope height, l is the slope length, R t is the tangential rebound coefficient, θ′1 is the tangential slope of the slope foot, θ1 is the slope, f is the rolling friction coefficient of the slope area, f′ is the rolling friction coefficient of the threat area, R n is the normal rebound coefficient, θ2 is the angle at which the terrain in the threat area tilts toward or away from the slope area, and θ3 is the decomposition angle of the normal velocity and tangential velocity of the dangerous rock mass in the threat area.

[0032] As a preferred solution, the slope type further includes a stepped slope, and the stepped slope includes multiple slope sections;

[0033] Then, the calculation of the collapse impact range of the dangerous rock mass according to the rolling friction coefficient, the rebound coefficient and the slope type further includes:

[0034] When the dangerous rock mass slides down the stepped slope and there is no horizontal distance of the current slope section that is greater than the horizontal movement distance of the dangerous rock mass in the current slope section, the collapse impact range of the dangerous rock mass is calculated according to the rolling friction coefficient and the rebound coefficient using the following formula:

[0035]

[0036] Among them, S′ is the collapse impact range of the dangerous rock mass, k is the number of slope sections of the stepped slope, and D i ′ is the horizontal distance of the i-th slope section, h is the slope height, θ1 is the slope, S k It is calculated based on the rolling friction coefficient and the rebound coefficient and is used to represent the horizontal movement distance of the dangerous rock mass in the last slope section.

[0037] As a preferred solution, the calculation of the collapse impact range of the dangerous rock mass based on the rolling friction coefficient, the rebound coefficient and the slope type further includes:

[0038] When the dangerous rock mass slides down the stepped slope and the horizontal distance of the current slope section is greater than the horizontal movement distance of the dangerous rock mass in the current slope section, it is determined that the dangerous rock mass cannot slide down to the threat area, and the collapse impact range of the dangerous rock mass is zero.

[0039] As a preferred solution, the calculation of the collapse impact range of the dangerous rock mass based on the rolling friction coefficient, the rebound coefficient and the slope type further includes:

[0040] When the current working condition is an earthquake working condition, the collapse impact range of the dangerous rock mass is calculated according to the rolling friction coefficient, the rebound coefficient and the slope type using the following formula:

[0041] S e =S n ×(1+2e) 2

[0042] Among them, S e is the collapse impact range of dangerous rock mass under earthquake conditions, S n is the collapse impact range of the dangerous rock mass under non-seismic conditions, e is the ratio of the peak earthquake acceleration to the gravitational acceleration, and is used to express the influence factor of the earthquake condition on the movement rate of the dangerous rock mass, (1+2e) 2 It is used to express the expansion coefficient of the collapse impact range of dangerous rock mass.

[0043] A second aspect of an embodiment of the present invention provides a device for calculating the impact range of a slope dangerous rock mass collapse, comprising:

[0044] Feature acquisition module, used to obtain the topographic and geomorphic features, rock and soil features, and dangerous rock mass distribution features of the target slope;

[0045] A coefficient determination module, configured to determine the rolling friction coefficient and the rebound coefficient of the target slope according to the rock and soil characteristics;

[0046] A slope type determination module, configured to determine the slope type of the location of the dangerous rock mass based on the topographical features and the distribution features of the dangerous rock mass;

[0047] The collapse influence range calculation module is used to calculate the collapse influence range of the dangerous rock mass according to the rolling friction coefficient, the rebound coefficient and the slope type.

[0048] A third aspect of an embodiment of the present invention provides a terminal device, comprising a memory, a processor, and a computer program stored in the memory and runnable on the processor, wherein when the processor executes the computer program, it implements the method for calculating the impact range of the collapse of a dangerous rock mass on a slope as described in any one of the first aspects.

[0049] A fourth aspect of an embodiment of the present invention provides a computer-readable storage medium, which includes a stored computer program, wherein when the computer program is running, the device where the computer-readable storage medium is located is controlled to execute the method for calculating the impact range of slope dangerous rock collapse as described in any one of the first aspects.

[0050] Compared with the existing technology, the beneficial effect of the embodiments of the present invention is that it can reasonably determine the rolling friction coefficient, rebound coefficient and slope type of the target slope based on the topographic and geomorphological characteristics, rock and soil characteristics and dangerous rock mass distribution characteristics of the target slope, and then calculate the collapse influence range of dangerous rock masses of different slope types based on the determined rolling friction coefficient and rebound coefficient, with high accuracy, and can provide reasonable guidance for slope collapse prevention and control. BRIEF DESCRIPTION OF THE DRAWINGS

[0051] Figure 1 1 is a flow chart of a method for calculating the impact range of a dangerous rock mass collapse on a slope provided by an embodiment of the present invention;

[0052] Figure 2 Schematic diagram of the movement process of a dangerous rock mass sliding down a linear slope when the threat area is horizontal terrain, provided by an embodiment of the present invention;

[0053] Figure 3 Schematic diagram of the movement process of a dangerous rock mass sliding down a straight slope when the terrain of the threat area is inclined toward the slope area provided by an embodiment of the present invention;

[0054] Figure 4Schematic diagram of the movement process of a dangerous rock mass sliding down a linear slope when the terrain of the threat area is inclined away from the slope area, provided by an embodiment of the present invention;

[0055] Figure 5 This is a schematic diagram of the movement process of a dangerous rock mass sliding down a curved slope provided by an embodiment of the present invention;

[0056] Figure 6 It is a structural diagram of the calculation of the impact range of the collapse of dangerous rock mass on a slope provided by an embodiment of the present invention. DETAILED DESCRIPTION

[0057] The following will clearly and completely describe the technical solutions in the embodiments of the present invention in conjunction with the accompanying drawings. Obviously, the described embodiments are only part of the embodiments of the present invention, not all of the embodiments. All other embodiments obtained by ordinary technicians in this field based on the embodiments of the present invention without making any creative efforts shall fall within the scope of protection of the present invention.

[0058] See also Figure 1 A first aspect of an embodiment of the present invention provides a method for calculating the impact range of a dangerous rock mass collapse on a slope, including steps S1 to S4, as follows:

[0059] Step S1, obtaining the topographic and geomorphic characteristics, rock and soil characteristics, and dangerous rock mass distribution characteristics of the target slope;

[0060] Step S2, determining the rolling friction coefficient and rebound coefficient of the target slope according to the rock and soil characteristics;

[0061] Step S3, determining the slope type where the dangerous rock mass is located based on the topographical features and the distribution features of the dangerous rock mass;

[0062] Step S4: calculating the collapse impact range of the dangerous rock mass according to the rolling friction coefficient, the rebound coefficient and the slope type.

[0063] Specifically, the embodiment of the present invention first obtains the topographic and geomorphic characteristics, rock and soil characteristics, and dangerous rock mass distribution characteristics of the target slope, and determines the rolling friction coefficient and rebound coefficient of the target slope based on the rock and soil characteristics. It should be noted that the topographic and geomorphic characteristics include but are not limited to slope height, slope gradient, and slope length. Since different slope types will lead to different movement processes when the dangerous rock mass slides, different calculation formulas need to be selected according to different slope types when calculating the collapse impact range of the dangerous rock mass. Therefore, it is necessary to determine the position of the dangerous rock mass and the slope type where the dangerous rock mass is located based on the topographic and geomorphic characteristics and the dangerous rock mass distribution characteristics. Finally, based on the rolling friction coefficient, the rebound coefficient, and the slope type, the collapse impact range of the dangerous rock mass is calculated.

[0064] As an optional embodiment, the embodiment of the present invention can refer to the common slope surface rolling friction coefficient provided in the collapse prevention engineering investigation specification TCAGHP011-2018 to determine the rolling friction coefficient of the target slope, as shown in Table 1 below:

[0065] Table 1 Rolling friction coefficient of common slope surfaces

[0066]

[0067]

[0068] It should be noted that the rebound coefficient includes the normal rebound coefficient and the tangential rebound coefficient. Studies have shown that the normal rebound coefficient of rolling stone collision is between 0.2 and 0.5, and the tangential rebound coefficient is between 0.4 and 0.9. Generally speaking, if there is bedrock exposed on the slope surface, the larger value is taken; if the slope surface is gravel or hard soil with no vegetation cover or a small amount of vegetation cover, the middle value is taken; if the slope surface is loose residual soil or clay, the smaller value is taken. As an optional embodiment, the embodiment of the present invention can refer to the rebound coefficient provided by the collapse prevention and control engineering survey specification to determine the rebound coefficient of the target slope, and can also refer to the rebound coefficient provided by the Ministry of Railways Transportation Bureau to determine the rebound coefficient of the target slope. The difference between the rebound coefficients provided by the two is not much. The rebound coefficient provided by the collapse prevention and control engineering survey specification focuses on the difference in the rock quality of the slope surface, while the rebound coefficient provided by the Ministry of Railways Transportation Bureau focuses on the difference in the nature of the covering material on the slope surface. In actual application, a reasonable selection can be made according to the actual situation. The rebound coefficient provided by the Collapse Prevention Engineering Investigation Specification is shown in Table 2 below, and the rebound coefficient provided by the Ministry of Railways Transportation Bureau is shown in Table 3 below:

[0069] Table 2 Rebound coefficients provided by the collapse prevention engineering investigation specification

[0070]

[0071] Table 3 Rebound coefficient provided by the Transportation Bureau of the Ministry of Railways

[0072]

[0073]

[0074] As a preferred solution, the target slope includes a slope area and a threat area;

[0075] Then, determining the rolling friction coefficient and rebound coefficient of the target slope according to the rock and soil characteristics specifically includes:

[0076] Determining the rolling friction coefficient of the slope area according to the rock and soil characteristics of the slope area;

[0077] The rolling friction coefficient and the rebound coefficient of the threat area are determined according to the rock and soil characteristics of the threat area.

[0078] It should be noted that the threat area at the bottom of the slope is the human activity area. Since the terrain in the human activity area is relatively flat compared to the slope, it often forms a significant terrain angle with the slope. When the dangerous rock mass slides to the area with sudden changes in terrain, the momentum direction of the dangerous rock mass will change dramatically. At the same time, violent collisions will also cause large energy loss. With reference to relevant research at home and abroad, the embodiment of the present invention adopts a rebound coefficient to take into account the energy loss of the dangerous rock mass during the collision process.

[0079] As a preferred solution, the slope type includes a linear slope;

[0080] Then, calculating the collapse impact range of the dangerous rock mass according to the rolling friction coefficient, the rebound coefficient and the slope type includes:

[0081] When the slope type is a linear slope and the threat area is a horizontal terrain, the collapse impact range of the dangerous rock mass is calculated according to the rolling friction coefficient and the rebound coefficient using the following formula:

[0082]

[0083] When the slope type is a linear slope and the terrain of the threat area is inclined toward the slope area, the collapse impact range of the dangerous rock mass is calculated according to the rolling friction coefficient and the rebound coefficient using the following formula:

[0084]

[0085] When the slope type is a linear slope and the terrain of the threat area is inclined away from the slope area, the collapse impact range of the dangerous rock mass is calculated according to the rolling friction coefficient and the rebound coefficient using the following formula:

[0086]

[0087] Among them, S′ is the impact range of the collapse, h is the slope height, R t is the tangential rebound coefficient, θ1 is the slope, f is the rolling friction coefficient of the slope area, f′ is the rolling friction coefficient of the threat area, R n is the normal rebound coefficient, θ2 is the angle at which the terrain in the threat area tilts toward or away from the slope area, and θ3 is the decomposition angle of the normal velocity and tangential velocity of the dangerous rock mass in the threat area.

[0088] Specifically, if Figures 2 to 4 As shown, since dangerous rock masses are usually located on high and steep slopes, the embodiment of the present invention considers that the movement mode of dangerous rock masses on the slope is rolling; when the dangerous rock mass slides to the foot of the slope, it collides and rebounds. In this process, the normal rebound coefficient and the tangential rebound coefficient are used to calculate the rebound rate of the dangerous rock mass; after the dangerous rock mass slides to the foot of the slope, it will bounce twice. Since the normal kinetic energy of the dangerous rock mass has decayed to less than one-tenth of the initial normal kinetic energy after the two bounces, the third bounce and subsequent bounce processes are considered rolling. Therefore, the movement process of the dangerous rock mass is divided into five stages: the sliding stage, the first bounce stage, the second bounce stage, the sliding stage, and the potential movement stage. The movement process of the dangerous rock mass in different stages is analyzed below.

[0089] During the sliding stage, the gravitational potential energy of the dangerous rock mass is converted into kinetic energy and is subjected to the equivalent friction resistance of the slope. The initial gravitational potential energy of the dangerous rock mass is expressed as follows (1):

[0090] E0=mgh (1)

[0091] Among them, E0 is the initial gravitational potential energy, m is the mass of the dangerous rock mass, g is the acceleration of gravity, and h is the slope height.

[0092] The rolling friction coefficient is used to calculate the work done by the friction force during the sliding process of the dangerous rock mass, as shown in the following formula (2):

[0093]

[0094] The kinetic energy of the dangerous rock mass when it reaches the slope foot is expressed as follows (3):

[0095] E1=mgh-mghcotθ1×f (3)

[0096] Among them, h is the slope height, θ1 is the slope, f is the rolling friction coefficient of the slope area, and E1 is the kinetic energy of the dangerous rock mass when it reaches the foot of the slope.

[0097] From formula (3), we can get the tangential velocity v when the dangerous rock mass reaches the slope foot: it , normal velocity v in They are shown in the following formulas (4) and (5) respectively:

[0098]

[0099]

[0100] Furthermore, the normal rebound coefficient R n and tangential rebound coefficient R t Calculate the normal velocity v of the dangerous rock mass after it collides with the slope foot rn and the tangential velocity v rt, as shown in the following formula (6) and formula (7):

[0101] v rn =R n ×v in (6)

[0102] v rt =R t ×v it (7)

[0103] When the terrain of the threat area is different, the movement process of the dangerous rock mass after sliding to the foot of the slope is also quite different. The following is an analysis of the movement process of the dangerous rock mass in threat areas with different terrains.

[0104] When the threat area is horizontal terrain, the movement process of the dangerous rock mass is as follows: Figure 2 As shown, the bounce time t1, bounce distance S1 and bounce height H1 of the first bounce process of the dangerous rock mass are respectively expressed as follows: (8), (9) and (10).

[0105]

[0106]

[0107]

[0108] The bounce time t2, bounce distance S2 and bounce height H2 of the second bounce process of the dangerous rock mass are shown in the following equations (11), (12) and (13), respectively.

[0109]

[0110]

[0111]

[0112] After the dangerous rock mass bounces twice, the friction force on the surface of the threat area will act until the movement of the dangerous rock mass stops. The time t3 of the sliding stage is calculated as shown in the following formula (14):

[0113]

[0114] The movement distance S3 in the sliding stage is expressed as follows (15):

[0115]

[0116] In summary, the final total movement distance S of the dangerous rock mass is expressed as follows (16):

[0117]

[0118] In addition, since the dangerous rock mass may have blocks that are broken and splashed during the collision process, causing some of the broken blocks to exceed the final total movement distance of the dangerous rock mass, the potential movement distance of the dangerous rock mass should be estimated based on the slope height and slope gradient, thereby determining the safe distance. The higher the slope height and the steeper the slope, the more intense the collision of the dangerous rock mass and the greater the degree of splashing. As an optional embodiment, the embodiment of the present invention sets the safe distance as 0.2hsinθ1, so the collapse impact range S′ of the dangerous rock mass is shown in the following formula (17):

[0119]

[0120] Among them, S′ is the impact range of the collapse, h is the slope height, R t is the tangential rebound coefficient, θ1 is the slope, f is the rolling friction coefficient of the slope area, f′ is the rolling friction coefficient of the threat area, R n is the normal rebound coefficient.

[0121] Preferably, formula (17) is more applicable when the slope type is a linear slope and the slope θ1 is greater than 45 degrees.

[0122] When the terrain of the threat area tilts toward the slope area, the movement process of the dangerous rock mass is as follows: Figure 3 As shown in FIG, the angle at which the terrain of the threat area tilts toward the slope area is considered to be θ2, and the decomposition angle of the normal velocity and the tangential velocity of the dangerous rock mass in the threat area becomes θ3, where θ3 = θ1 + θ2.

[0123] Therefore, the collapse impact range S′ of the dangerous rock mass in this case is expressed as follows (18):

[0124]

[0125] When the terrain of the threat area slopes away from the slope area, the movement process of the dangerous rock mass is as follows: Figure 4 As shown, in this case, the angle at which the terrain in the threat area is inclined away from the slope area is regarded as θ2, and the decomposition angle of the normal velocity and the tangential velocity of the dangerous rock mass in the threat area becomes θ3, where θ3 = θ1-θ2.

[0126] Therefore, the collapse impact range S′ of the dangerous rock mass in this case is expressed as follows (19):

[0127]

[0128] It should be noted that when f′<cotθ2, it is determined that the dangerous rock mass will not be able to stop moving.

[0129] As a preferred solution, the slope type also includes a curved slope;

[0130] Then, the calculation of the collapse impact range of the dangerous rock mass according to the rolling friction coefficient, the rebound coefficient and the slope type further includes:

[0131] When the slope type is a curved slope and the threat area is a horizontal terrain, the collapse impact range of the dangerous rock mass is calculated according to the rolling friction coefficient and the rebound coefficient using the following formula:

[0132]

[0133] When the slope type is a curved slope and the terrain of the threat area is inclined toward the slope area, the collapse impact range of the dangerous rock mass is calculated according to the rolling friction coefficient and the rebound coefficient using the following formula:

[0134]

[0135] When the slope type is a curved slope and the terrain of the threat area is inclined away from the slope area, the collapse impact range of the dangerous rock mass is calculated according to the rolling friction coefficient and the rebound coefficient using the following formula:

[0136]

[0137] Among them, S′ is the impact range of the collapse, h is the slope height, l is the slope length, R t is the tangential rebound coefficient, θ′1 is the tangential slope of the slope foot, θ1 is the slope, f is the rolling friction coefficient of the slope area, f′ is the rolling friction coefficient of the threat area, R n is the normal rebound coefficient, θ2 is the angle at which the terrain in the threat area tilts toward or away from the slope area, and θ3 is the decomposition angle of the normal velocity and tangential velocity of the dangerous rock mass in the threat area.

[0138] Specifically, if Figure 5 As shown in the figure, because the sliding trajectory of dangerous rock masses on curved slopes is different from that on straight slopes, the speed and direction of the dangerous rock masses when they reach the slope toe are also different from those on straight slopes. At the same time, due to the longer movement trajectory, the work done by friction also increases. In addition, due to the relatively complex slope shape of curved slopes, the slope length cannot be calculated based on the slope height and slope gradient and must be obtained through measurement. The following lists the impact range of dangerous rock mass collapse in different terrain threat areas.

[0139] When the threatened area is horizontal terrain, the terrain inclination angle θ2 is 0 degrees, and the collapse impact range S′ of the dangerous rock mass is calculated by the following formula (20):

[0140]

[0141] Among them, S′ is the impact range of the collapse, h is the slope height, l is the slope length, R t is the tangential rebound coefficient, θ′1 is the tangential slope of the slope foot, θ1 is the slope, f is the rolling friction coefficient of the slope area, f′ is the rolling friction coefficient of the threat area, R n is the normal rebound coefficient, θ3 is the decomposition angle of the normal velocity and tangential velocity of the dangerous rock mass in the threat area, in this case θ3 = θ′1.

[0142] When the terrain of the threat area is inclined toward the slope area, the angle of inclination of the terrain of the threat area toward the slope area is θ2. The collapse influence range S′ of the dangerous rock mass is calculated by the following formula (21):

[0143]

[0144] Among them, S′ is the impact range of the collapse, h is the slope height, l is the slope length, R t is the tangential rebound coefficient, θ′1 is the tangential slope of the slope foot, θ1 is the slope, f is the rolling friction coefficient of the slope area, f′ is the rolling friction coefficient of the threat area, R n is the normal rebound coefficient, θ2 is the angle at which the terrain in the threat area tilts toward the slope area, and θ3 is the decomposition angle of the normal velocity and tangential velocity of the dangerous rock mass in the threat area. In this case, θ3 = θ′1 + θ2.

[0145] When the terrain of the threat area is inclined away from the slope area, the angle of the terrain of the threat area is θ2, and the collapse influence range S′ of the dangerous rock mass is calculated by the following formula (22):

[0146]

[0147] Among them, S′ is the impact range of the collapse, h is the slope height, l is the slope length, R t is the tangential rebound coefficient, θ′1 is the tangential slope of the slope foot, θ1 is the slope, f is the rolling friction coefficient of the slope area, f′ is the rolling friction coefficient of the threat area, R n is the normal rebound coefficient, θ2 is the angle at which the terrain in the threat area tilts toward the slope area, and θ3 is the decomposition angle of the normal velocity and tangential velocity of the dangerous rock mass in the threat area. In this case, θ3 = θ′1-θ2.

[0148] It should be noted that when f′<cotθ2, it is determined that the dangerous rock mass will not be able to stop moving.

[0149] As a preferred solution, the slope type further includes a stepped slope, and the stepped slope includes multiple slope sections;

[0150] Then, the calculation of the collapse impact range of the dangerous rock mass according to the rolling friction coefficient, the rebound coefficient and the slope type further includes:

[0151] When the dangerous rock mass slides down the stepped slope and there is no horizontal distance of the current slope section that is greater than the horizontal movement distance of the dangerous rock mass in the current slope section, the collapse impact range of the dangerous rock mass is calculated according to the rolling friction coefficient and the rebound coefficient using the following formula:

[0152]

[0153] Among them, S′ is the collapse impact range of the dangerous rock mass, k is the number of slope sections of the stepped slope, and D i ′ is the horizontal distance of the i-th slope section, h is the slope height, θ1 is the slope, S k It is calculated based on the rolling friction coefficient and the rebound coefficient and is used to represent the horizontal movement distance of the dangerous rock mass in the last slope section.

[0154] It should be noted that the stepped slope can be regarded as a segmented calculation of multiple small slopes, and each slope segment can be regarded as a small slope.

[0155] Specifically, when the dangerous rock mass slides down the stepped slope, there is no case where the horizontal distance of the current slope section is greater than the horizontal movement distance of the dangerous rock mass in the current slope section. The calculation needs to be performed in sections according to the number of slope sections of the stepped slope. The initial kinetic energy of the dangerous rock mass needs to be considered in the calculation process. When the horizontal distance of the current slope section is less than the first bounce distance of the dangerous rock mass, the initial tangential velocity v of the dangerous rock mass is calculated by the following formulas (23) and (24), respectively: it0 and the initial normal velocity v in0 Perform the calculation:

[0156] v it0 =v it ×R t (twenty three)

[0157] v in0 =v in ×R n (twenty four)

[0158] Among them, v it is the tangential velocity at the foot of the slope obtained from the previous slope section, v in It is the normal velocity at the toe of the slope obtained from the previous slope section.

[0159] When the horizontal distance of the current slope section is greater than the first section bounce distance but less than the second section bounce distance, the initial tangential velocity v of the dangerous rock mass is calculated by the following equations (25) and (26):it0 and the initial normal velocity v in0 Perform the calculation:

[0160] v it0 =v it ×R t 2 (25)

[0161] v ino =v in ×R n 2 (26)

[0162] Among them, v it is the tangential velocity at the foot of the slope obtained from the previous slope section, v in It is the normal velocity at the toe of the slope obtained from the previous slope section.

[0163] When the horizontal distance of the current slope section is greater than the second section bounce distance, the initial normal velocity v of the dangerous rock mass in0 is 0, the initial tangential velocity v it0 Calculated by the following formula (27):

[0164]

[0165] Among them, S is the horizontal movement distance of the dangerous rock mass in the current slope section, D is the horizontal distance of the current slope section, and f′ is the rolling friction coefficient of the horizontal section of the current slope section.

[0166] The tangential velocity v of the next level of dangerous rock mass at the slope foot is obtained from this it ′ and normal velocity v in ′, as shown in the following formula (28) and formula (29):

[0167]

[0168]

[0169] Among them, h is the slope height of the slope section, f is the rolling friction coefficient of the inclined section of the slope section, and θ1 is the slope of the slope section.

[0170] Therefore, the movement distance of the dangerous rock mass in the next slope section is expressed as follows (30):

[0171]

[0172] The final collapse impact range S′ of the dangerous rock mass is expressed as follows (31):

[0173]

[0174] Among them, S′ is the collapse impact range of the dangerous rock mass, k is the number of slope sections of the stepped slope, and D i ′ is the horizontal distance of the i-th slope section, h is the slope height, θ1 is the slope, S k It is calculated based on the rolling friction coefficient and the rebound coefficient and is used to represent the horizontal movement distance of the dangerous rock mass in the last slope section.

[0175] Preferably, the above formula (31) is applicable to the case where the horizontal distance between slope sections is greater than 1m and the number of slope sections is small. When the horizontal distance between slope sections is less than 1m and the number of slope sections is large, it is difficult to calculate each slope section one by one. At this time, the slope can be regarded as a linear slope, and the rolling friction coefficient of its slope surface area can be appropriately increased to obtain the collapse impact range of the dangerous rock mass.

[0176] As a preferred solution, the calculation of the collapse impact range of the dangerous rock mass based on the rolling friction coefficient, the rebound coefficient and the slope type further includes:

[0177] When the dangerous rock mass slides down the stepped slope and the horizontal distance of the current slope section is greater than the horizontal movement distance of the dangerous rock mass in the current slope section, it is determined that the dangerous rock mass cannot slide down to the threat area, and the collapse impact range of the dangerous rock mass is zero.

[0178] It should be noted that when the dangerous rock mass slides down the stepped slope, if the horizontal distance of the current slope section is greater than the horizontal movement distance of the dangerous rock mass in the current slope section, it proves that the dangerous rock mass will stay on the slope section and cannot slide down to the threatened area. Therefore, the collapse impact range of the dangerous rock mass is zero.

[0179] As a preferred solution, the calculation of the collapse impact range of the dangerous rock mass based on the rolling friction coefficient, the rebound coefficient and the slope type further includes:

[0180] When the current working condition is an earthquake working condition, the collapse impact range of the dangerous rock mass is calculated according to the rolling friction coefficient, the rebound coefficient and the slope type using the following formula:

[0181] S e =S n ×(1+2e) 2

[0182] Among them, S e is the collapse impact range of dangerous rock mass under earthquake conditions, S n is the collapse impact range of the dangerous rock mass under non-seismic conditions, e is the ratio of the peak earthquake acceleration to the gravitational acceleration, and is used to express the influence factor of the earthquake condition on the movement rate of the dangerous rock mass, (1+2e) 2It is used to express the expansion coefficient of the collapse impact range of dangerous rock mass.

[0183] Specifically, under earthquake conditions, seismic stress will significantly increase the kinetic energy of the dangerous rock mass. The ratio of the earthquake peak acceleration to the gravitational acceleration is recorded as e, which can be used as the influencing factor of the earthquake on the movement velocity of the dangerous rock mass. According to the relationship between velocity and acceleration, the following equations (32) and (33) can be obtained:

[0184] v=at (32)

[0185]

[0186] Among them, v is the velocity of the dangerous rock mass when it reaches the foot of the slope, a is the acceleration of the dangerous rock mass on the slope, t is the sliding time of the dangerous rock mass on the slope, and v e It is the velocity at which the dangerous rock mass reaches the slope foot under the influence of earthquake conditions.

[0187] The embodiment of the present invention adopts (1+2e) 2 The kinetic energy increased by the earthquake is measured and recorded as parameter es. By using parameter es as the expansion coefficient of the collapse influence range of the dangerous rock mass, the relationship between the earthquake condition and the collapse influence range can be better reflected. Therefore, under the earthquake condition, the collapse influence range of the dangerous rock mass is shown in the following formula (34):

[0188] S e =S n ×(1+2e) 2 (34)

[0189] Among them, S e is the collapse impact range of dangerous rock mass under earthquake conditions, S n It is the impact range of the collapse of dangerous rock mass under non-seismic conditions.

[0190] It can be understood that the above equations (17), (18), (19), (20), (21), (22) and (31) are all the collapse influence ranges of dangerous rock masses under non-seismic conditions. Under seismic conditions, it is only necessary to compare the original results with (1+2e) 2 The multiplication is the collapse impact range of dangerous rock mass under earthquake conditions.

[0191] A method for calculating the collapse impact range of dangerous rock masses on slopes provided by an embodiment of the present invention can reasonably determine the rolling friction coefficient, rebound coefficient and slope type of the target slope based on the topographic and geomorphological characteristics, rock and soil characteristics and dangerous rock mass distribution characteristics of the target slope, and then calculate the collapse impact range of dangerous rock masses of different slope types based on the determined rolling friction coefficient and rebound coefficient. The method has high accuracy and can provide reasonable guidance for slope collapse prevention and control.

[0192] In order to better demonstrate the beneficial effects of the method for calculating the impact range of the collapse of a dangerous rock mass on a slope provided by an embodiment of the present invention, two embodiments are described below.

[0193] Example 1 calculates the impact range of a dangerous rock collapse on the north slope of Jingang Avenue in Nansha District, Guangzhou. The slope is a straight slope with an 80-degree gradient and a 7-meter height at the collapsed section. The rock and soil are characterized by granite, with a rough slope surface and sparse vegetation. The threatened area at the toe of the slope is the sidewalk and highway, and the terrain is flat.

[0194] Calculated by formula (17), the slope height h is 7, the slope gradient θ1 is 80 degrees, the rolling friction coefficient f in the slope area is 0.5, the rolling friction coefficient f′ in the threat area is 0.6, and the normal rebound coefficient R is n The value is 0.32, and the tangential rebound coefficient R t Taking the value as 0.83, the final result is that the horizontal movement distance of the dangerous rock mass is 1.68m, and the collapse influence range is 3.10m. The actual accumulation width of the block rocks is about 2m, which is not much different from the calculated horizontal movement distance of the dangerous rock mass and is within the calculated collapse influence range. The accuracy of the calculation result is good.

[0195] Example 2 calculates the impact range of a dangerous rock collapse on the north side slope of Dajiao 1st Road in Nansha District, Guangzhou. The slope is a straight slope with a slope of 85 degrees. The height of the collapsed section is 20m. The rock and soil are characterized by granite. The slope surface is straight, slightly rough, and sparsely vegetated. The threatened area at the foot of the slope is grassland, and the terrain is flat.

[0196] Calculated by formula (17), the slope height h is 20, the slope gradient θ1 is 85 degrees, the rolling friction coefficient f in the slope area is 0.5, the rolling friction coefficient f′ in the threat area is 0.7, and the normal rebound coefficient R is n The value is 0.29, and the tangential rebound coefficient R t Taking the value as 0.81, the final result is that the horizontal movement distance of the dangerous rock mass is 2.02m, and the collapse influence range is 6m. The actual accumulation width of the block rocks is about 3m, which is not much different from the calculated horizontal movement distance of the dangerous rock mass and is within the calculated collapse influence range. The accuracy of the calculation result is good.

[0197] See also Figure 6 A second aspect of an embodiment of the present invention provides a device for calculating the impact range of a dangerous rock mass collapse on a slope, comprising:

[0198] The feature acquisition module 601 is used to acquire the topographic and geomorphic features, rock and soil features, and dangerous rock mass distribution features of the target slope;

[0199] A coefficient determination module 602 is used to determine the rolling friction coefficient and the rebound coefficient of the target slope according to the rock and soil characteristics;

[0200] The slope type determination module 603 is used to determine the slope type of the location of the dangerous rock mass according to the topographical features and the distribution features of the dangerous rock mass;

[0201] The collapse influence range calculation module 604 is used to calculate the collapse influence range of the dangerous rock mass according to the rolling friction coefficient, the rebound coefficient and the slope type.

[0202] As a preferred solution, the target slope includes a slope area and a threat area;

[0203] Then, the coefficient determination module 602 is used to determine the rolling friction coefficient and rebound coefficient of the target slope according to the rock and soil characteristics, specifically including:

[0204] Determining the rolling friction coefficient of the slope area according to the rock and soil characteristics of the slope area;

[0205] The rolling friction coefficient and the rebound coefficient of the threat area are determined according to the rock and soil characteristics of the threat area.

[0206] As a preferred solution, the slope type includes a linear slope;

[0207] Then, the collapse influence range calculation module 604 is used to calculate the collapse influence range of the dangerous rock mass according to the rolling friction coefficient, the rebound coefficient and the slope type, including:

[0208] When the slope type is a linear slope and the threat area is a horizontal terrain, the collapse impact range of the dangerous rock mass is calculated according to the rolling friction coefficient and the rebound coefficient using the following formula:

[0209]

[0210] When the slope type is a linear slope and the terrain of the threat area is inclined toward the slope area, the collapse impact range of the dangerous rock mass is calculated according to the rolling friction coefficient and the rebound coefficient using the following formula:

[0211]

[0212] When the slope type is a linear slope and the terrain of the threat area is inclined away from the slope area, the collapse impact range of the dangerous rock mass is calculated according to the rolling friction coefficient and the rebound coefficient using the following formula:

[0213]

[0214] Among them, S′ is the impact range of the collapse, h is the slope height, R t is the tangential rebound coefficient, θ1 is the slope, f is the rolling friction coefficient of the slope area, f′ is the rolling friction coefficient of the threat area, R n is the normal rebound coefficient, θ2 is the angle at which the terrain in the threat area tilts toward or away from the slope area, and θ3 is the decomposition angle of the normal velocity and tangential velocity of the dangerous rock mass in the threat area.

[0215] As a preferred solution, the slope type also includes a curved slope;

[0216] The collapse influence range calculation module 604 is used to calculate the collapse influence range of the dangerous rock mass according to the rolling friction coefficient, the rebound coefficient and the slope type, and further includes:

[0217] When the slope type is a curved slope and the threat area is a horizontal terrain, the collapse impact range of the dangerous rock mass is calculated according to the rolling friction coefficient and the rebound coefficient using the following formula:

[0218]

[0219] When the slope type is a curved slope and the terrain of the threat area is inclined toward the slope area, the collapse impact range of the dangerous rock mass is calculated according to the rolling friction coefficient and the rebound coefficient using the following formula:

[0220]

[0221] When the slope type is a curved slope and the terrain of the threat area is inclined away from the slope area, the collapse impact range of the dangerous rock mass is calculated according to the rolling friction coefficient and the rebound coefficient using the following formula:

[0222]

[0223] Among them, S′ is the impact range of the collapse, h is the slope height, l is the slope length, R t is the tangential rebound coefficient, θ′1 is the tangential slope of the slope foot, θ1 is the slope, f is the rolling friction coefficient of the slope area, f′ is the rolling friction coefficient of the threat area, R n is the normal rebound coefficient, θ2 is the angle at which the terrain in the threat area tilts toward or away from the slope area, and θ3 is the decomposition angle of the normal velocity and tangential velocity of the dangerous rock mass in the threat area.

[0224] As a preferred solution, the slope type further includes a stepped slope, and the stepped slope includes multiple slope sections;

[0225] Then, the collapse influence range calculation module 604 is used to calculate the collapse influence range of the dangerous rock mass according to the rolling friction coefficient, the rebound coefficient and the slope type, and further includes:

[0226] When the dangerous rock mass slides down the stepped slope and there is no horizontal distance of the current slope section that is greater than the horizontal movement distance of the dangerous rock mass in the current slope section, the collapse impact range of the dangerous rock mass is calculated according to the rolling friction coefficient and the rebound coefficient using the following formula:

[0227]

[0228] Among them, S′ is the collapse impact range of the dangerous rock mass, k is the number of slope sections of the stepped slope, and D i ′ is the horizontal distance of the i-th slope section, h is the slope height, θ1 is the slope, S k It is calculated based on the rolling friction coefficient and the rebound coefficient and is used to represent the horizontal movement distance of the dangerous rock mass in the last slope section.

[0229] As a preferred solution, the collapse influence range calculation module 604 is used to calculate the collapse influence range of the dangerous rock mass according to the rolling friction coefficient, the rebound coefficient and the slope type, and further includes:

[0230] When the dangerous rock mass slides down the stepped slope and the horizontal distance of the current slope section is greater than the horizontal movement distance of the dangerous rock mass in the current slope section, it is determined that the dangerous rock mass cannot slide down to the threat area, and the collapse impact range of the dangerous rock mass is zero.

[0231] As a preferred solution, the collapse influence range calculation module 604 is used to calculate the collapse influence range of the dangerous rock mass according to the rolling friction coefficient, the rebound coefficient and the slope type, and further includes:

[0232] When the current working condition is an earthquake working condition, the collapse impact range of the dangerous rock mass is calculated according to the rolling friction coefficient, the rebound coefficient and the slope type using the following formula:

[0233] S e =S n ×(1+2e) 2

[0234] Among them, S e is the collapse impact range of dangerous rock mass under earthquake conditions, S nis the collapse impact range of the dangerous rock mass under non-seismic conditions, e is the ratio of the peak earthquake acceleration to the gravitational acceleration, and is used to express the influence factor of the earthquake condition on the movement rate of the dangerous rock mass, (1+2e) 2 It is used to express the expansion coefficient of the collapse impact range of dangerous rock mass.

[0235] It should be noted that the device for calculating the impact range of collapse of dangerous rock masses on slopes provided by an embodiment of the present invention can realize all the processes of the method for calculating the impact range of collapse of dangerous rock masses on slopes described in any of the above embodiments. The functions of each module in the device and the technical effects achieved are respectively the same as the functions and technical effects achieved by the method for calculating the impact range of collapse of dangerous rock masses on slopes described in the above embodiments, and will not be repeated here.

[0236] A third aspect of an embodiment of the present invention provides a terminal device, comprising a memory, a processor, and a computer program stored in the memory and runnable on the processor. When the processor executes the computer program, it implements the method for calculating the impact range of the collapse of dangerous rock mass on a slope as described in any embodiment of the first aspect.

[0237] The terminal device may be a computing device such as a desktop computer, laptop, PDA, or cloud server. The terminal device may include, but is not limited to, a processor and memory. The terminal device may also include input and output devices, network access devices, buses, etc.

[0238] The processor may be a central processing unit (CPU), other general-purpose processors, digital signal processors (DSP), application-specific integrated circuits (ASIC), field-programmable gate arrays (FPGA), other programmable logic devices, discrete gate or transistor logic devices, discrete hardware components, etc. A general-purpose processor may be a microprocessor or any conventional processor, etc. The processor is the control center of the terminal device, connecting various parts of the entire terminal device using various interfaces and lines.

[0239] The memory can be used to store the computer programs and / or modules. The processor implements various functions of the terminal device by running or executing the computer programs and / or modules stored in the memory and calling the data stored in the memory. The memory can mainly include a program storage area and a data storage area. The program storage area can store an operating system, at least one application required for a function (such as a sound playback function, an image playback function, etc.); the data storage area can store data created based on the use of the mobile phone (such as audio data, a phone book, etc.). In addition, the memory can include high-speed random access memory and non-volatile memory, such as a hard disk, internal memory, a plug-in hard disk, a smart media card (SMC), a secure digital (SD) card, a flash card, at least one disk storage device, a flash memory device, or other volatile solid-state storage device.

[0240] A fourth aspect of an embodiment of the present invention provides a computer-readable storage medium, which includes a stored computer program, wherein when the computer program is running, the device where the computer-readable storage medium is located is controlled to execute the method for calculating the impact range of slope dangerous rock collapse as described in any embodiment of the first aspect.

[0241] Through the description of the above embodiments, those skilled in the art can clearly understand that the present invention can be implemented by means of software plus the necessary hardware platform, and of course, it can also be implemented entirely by hardware. Based on this understanding, all or part of the contribution of the technical solution of the present invention to the background art can be embodied in the form of a software product. This computer software product can be stored in a storage medium such as ROM / RAM, a magnetic disk, an optical disk, etc., and includes a number of instructions for enabling a computer device (which can be a personal computer, a server, or a network device, etc.) to execute the methods described in various embodiments of the present invention or certain parts of the embodiments.

[0242] The above is a preferred embodiment of the present invention. It should be pointed out that for ordinary technicians in this technical field, several improvements and modifications can be made without departing from the principles of the present invention. These improvements and modifications are also considered to be within the scope of protection of the present invention.

Claims

1. A method for calculating the impact range of slope rock collapse, characterized in that: include: Obtain the topographic and geomorphic characteristics, rock and soil characteristics, and dangerous rock mass distribution characteristics of the target slope; Determining the rolling friction coefficient and rebound coefficient of the target slope according to the rock and soil characteristics; Determining the slope type at the location of the dangerous rock mass based on the topographic and geomorphic characteristics and the distribution characteristics of the dangerous rock mass; Calculating the collapse impact range of the dangerous rock mass according to the rolling friction coefficient, the rebound coefficient and the slope type; Wherein, the target slope includes a slope area and a threat area; Then, determining the rolling friction coefficient and rebound coefficient of the target slope according to the rock and soil characteristics specifically includes: Determining the rolling friction coefficient of the slope area according to the rock and soil characteristics of the slope area; Determining the rolling friction coefficient and the rebound coefficient of the threat area according to the rock and soil characteristics of the threat area; The slope types include linear slopes; Then, calculating the collapse impact range of the dangerous rock mass according to the rolling friction coefficient, the rebound coefficient and the slope type includes: When the slope type is a linear slope and the threat area is a horizontal terrain, the collapse impact range of the dangerous rock mass is calculated according to the rolling friction coefficient and the rebound coefficient using the following formula: When the slope type is a linear slope and the terrain of the threat area is inclined toward the slope area, the collapse impact range of the dangerous rock mass is calculated according to the rolling friction coefficient and the rebound coefficient using the following formula: When the slope type is a linear slope and the terrain of the threat area is inclined away from the slope area, the collapse impact range of the dangerous rock mass is calculated according to the rolling friction coefficient and the rebound coefficient using the following formula: Among them, S ′ is the impact range of the collapse, h is the slope height, R t is the tangential rebound coefficient, θ1 is the slope, f is the rolling friction coefficient of the slope area, f ′ is the rolling friction coefficient of the threat area, R n is the normal rebound coefficient, θ2 is the angle at which the terrain in the threat area tilts toward or away from the slope area, and θ3 is the decomposition angle of the normal velocity and tangential velocity of the dangerous rock mass in the threat area.

2. The method for calculating the impact range of the collapse of dangerous rock mass on a slope according to claim 1, characterized in that: The slope types also include curved slopes; Then, the calculation of the collapse impact range of the dangerous rock mass according to the rolling friction coefficient, the rebound coefficient and the slope type further includes: When the slope type is a curved slope and the threat area is a horizontal terrain, the collapse impact range of the dangerous rock mass is calculated according to the rolling friction coefficient and the rebound coefficient using the following formula: When the slope type is a curved slope and the terrain of the threat area is inclined toward the slope area, the collapse impact range of the dangerous rock mass is calculated according to the rolling friction coefficient and the rebound coefficient using the following formula: When the slope type is a curved slope and the terrain of the threat area is inclined away from the slope area, the collapse impact range of the dangerous rock mass is calculated according to the rolling friction coefficient and the rebound coefficient using the following formula: Among them, S ′ is the impact range of the collapse, h is the slope height, l is the slope length, R t is the tangential rebound coefficient, θ1 ′ is the tangential slope of the slope foot, θ1 is the slope, f is the rolling friction coefficient of the slope area, f ′ is the rolling friction coefficient of the threat area, R n is the normal rebound coefficient, θ2 is the angle at which the terrain in the threat area tilts toward or away from the slope area, and θ3 is the decomposition angle of the normal velocity and tangential velocity of the dangerous rock mass in the threat area.

3. The method for calculating the impact range of the collapse of dangerous rock mass on a slope according to claim 2, characterized in that: The slope type also includes a stepped slope, and the stepped slope includes multiple slope sections; Then, the calculation of the collapse impact range of the dangerous rock mass according to the rolling friction coefficient, the rebound coefficient and the slope type further includes: When the dangerous rock mass slides down the stepped slope and there is no horizontal distance of the current slope section that is greater than the horizontal movement distance of the dangerous rock mass in the current slope section, the collapse impact range of the dangerous rock mass is calculated according to the rolling friction coefficient and the rebound coefficient using the following formula: Among them, S ′ is the collapse impact range of the dangerous rock mass, k is the number of slope sections of the stepped slope, D i ′ is the horizontal distance of the i-th slope section, h is the slope height, θ1 is the slope, S k It is calculated based on the rolling friction coefficient and the rebound coefficient and is used to represent the horizontal movement distance of the dangerous rock mass in the last slope section.

4. The method for calculating the impact range of the collapse of dangerous rock mass on a slope according to claim 3, characterized in that: The calculating the collapse impact range of the dangerous rock mass according to the rolling friction coefficient, the rebound coefficient and the slope type further includes: When the dangerous rock mass slides down the stepped slope and the horizontal distance of the current slope section is greater than the horizontal movement distance of the dangerous rock mass in the current slope section, it is determined that the dangerous rock mass cannot slide down to the threat area, and the collapse impact range of the dangerous rock mass is zero.

5. The method for calculating the impact range of the collapse of dangerous rock mass on a slope according to claim 4, characterized in that: The calculating the collapse impact range of the dangerous rock mass according to the rolling friction coefficient, the rebound coefficient and the slope type further includes: When the current working condition is an earthquake working condition, the collapse impact range of the dangerous rock mass is calculated according to the rolling friction coefficient, the rebound coefficient and the slope type using the following formula: S e =S n ×(1+2e) 2 Among them, S e is the collapse impact range of dangerous rock mass under earthquake conditions, S n is the collapse impact range of the dangerous rock mass under non-seismic conditions, e is the ratio of the peak earthquake acceleration to the gravitational acceleration, and is used to express the influence factor of the earthquake condition on the movement rate of the dangerous rock mass, (1+2e) 2 It is used to express the expansion coefficient of the collapse impact range of dangerous rock mass.

6. A device for calculating the impact range of a dangerous rock mass collapse on a slope, characterized in that: include: Feature acquisition module, used to obtain the topographic and geomorphic features, rock and soil features, and dangerous rock mass distribution features of the target slope; A coefficient determination module, configured to determine the rolling friction coefficient and the rebound coefficient of the target slope according to the rock and soil characteristics; A slope type determination module, configured to determine the slope type of the location of the dangerous rock mass based on the topographical features and the distribution features of the dangerous rock mass; a collapse influence range calculation module, configured to calculate the collapse influence range of the dangerous rock mass according to the rolling friction coefficient, the rebound coefficient and the slope type; Wherein, the target slope includes a slope area and a threat area; Then, the coefficient determination module is used to determine the rolling friction coefficient and rebound coefficient of the target slope according to the rock and soil characteristics, specifically including: Determining the rolling friction coefficient of the slope area according to the rock and soil characteristics of the slope area; Determining the rolling friction coefficient and the rebound coefficient of the threat area according to the rock and soil characteristics of the threat area; The slope types include linear slopes; Then, the collapse influence range calculation module is used to calculate the collapse influence range of the dangerous rock mass according to the rolling friction coefficient, the rebound coefficient and the slope type, including: When the slope type is a linear slope and the threat area is a horizontal terrain, the collapse impact range of the dangerous rock mass is calculated according to the rolling friction coefficient and the rebound coefficient using the following formula: When the slope type is a linear slope and the terrain of the threat area is inclined toward the slope area, the collapse impact range of the dangerous rock mass is calculated according to the rolling friction coefficient and the rebound coefficient using the following formula: When the slope type is a linear slope and the terrain of the threat area is inclined away from the slope area, the collapse impact range of the dangerous rock mass is calculated according to the rolling friction coefficient and the rebound coefficient using the following formula: Among them, S ′ is the impact range of the collapse, h is the slope height, R t is the tangential rebound coefficient, θ1 is the slope, f is the rolling friction coefficient of the slope area, f ′ is the rolling friction coefficient of the threat area, R n is the normal rebound coefficient, θ2 is the angle at which the terrain in the threat area tilts toward or away from the slope area, and θ3 is the decomposition angle of the normal velocity and tangential velocity of the dangerous rock mass in the threat area.

7. A terminal device, characterized in that: The method comprises a memory, a processor and a computer program stored in the memory and executable on the processor, wherein when the processor executes the computer program, the method for calculating the impact range of collapse of dangerous rock mass on a slope as claimed in any one of claims 1 to 5 is implemented.

8. A computer-readable storage medium, characterized in that The computer-readable storage medium includes a stored computer program, wherein when the computer program is running, the device where the computer-readable storage medium is located is controlled to execute the method for calculating the impact range of the collapse of a dangerous rock mass on a slope according to any one of claims 1 to 5.

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