CN115493934A - Method for calculating damage depth of mining water guide damage of bottom plate - Google Patents

Method for calculating damage depth of mining water guide damage of bottom plate Download PDF

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CN115493934A
CN115493934A CN202211171417.5A CN202211171417A CN115493934A CN 115493934 A CN115493934 A CN 115493934A CN 202211171417 A CN202211171417 A CN 202211171417A CN 115493934 A CN115493934 A CN 115493934A
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孙明
钱磊
杨夺
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Inner Mongolia University of Science and Technology
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Abstract

The invention discloses a method for calculating damage depth of mining water guide damage of a bottom plate, which comprises the following steps: calculating the mining damage degree of the bottom plate rock mass based on a uniaxial test, residual strength and plugging leakage detection; and calculating the damage depth of the mining water diversion damage of the bottom plate based on fracture mechanics, mine pressure control and plasticity mechanics. The method disclosed by the invention not only integrates indoor single-axis tests, mining residual strength and plugging leak detection, but also integrates fracture mechanics, mine pressure control and plasticity mechanics, the parameters are concise and easy to obtain, and the results are accurate, practical and easy to apply.

Description

Method for calculating damage depth of mining water guide damage of bottom plate
Technical Field
The invention relates to a technology for calculating the damage depth of mining water guide damage of a bottom plate, in particular to a method for calculating the damage depth of mining water guide damage of the bottom plate.
Background
At present, the mining water diversion damage depth of a bottom plate refers to the mining fracture range generated by the coal seam bottom plate rock stratum under the mining influence, and the mining fracture range is the normal distance from the deepest position of a self-mining damage zone of the coal seam bottom plate. The damage depth of the bottom plate is determined by field test, which is generally determined according to the water injection test data of the drill hole, but is often limited by the technical conditions of field production and cannot be accurately obtained in time. The damage depth of the mining water diversion damage of the bottom plate mainly depends on the pressure of stopes, and the influence factors of the damage depth are mining depth, coal seam advocate, mining thickness, mining face length and roof management, and are related to the anti-damage capability (rock strength, rock stratum combination and fracture development) of the rock stratum of the bottom plate.
The bottom plate mining-induced water diversion damage failure depth is formed by gradually generating deformation and frictional sliding along with original cracks and mining-induced cracks in bottom plate rock masses under the action of mine pressure to form branch cracks, joint cracks are mutually communicated in a staggered mode to form a belt shape, the bottom plate rock masses are not developed until entering a plastic failure stage, and the original damage degree of the bottom plate rock masses is not quantized. The part of the bottom plate rock mass loses the water-resisting capability and is further subjected to mining action to increase the permeability. The research on the damage depth of the mining water guide of the bottom plate focuses on theoretical calculation, field actual measurement, empirical formulas, numerical simulation and physical simulation, and the research results are mostly formed on the basis of the practice of shallow coal seam mining. Therefore, along with the increase of the mining depth, the damage to the bottom plate rock mass of the stope is more serious, so that the original formula has certain limitation in the deep coal data mining practice in the future.
Theoretical calculations are based on some basic assumptions, such as that the object is continuous; such as assuming that the object is fully elastic; assuming that the object is homogeneous; assuming the object is isotropic, etc. All these assumptions are not appropriate for the mechanical properties of the rock mass. Therefore, the theoretical formula of the failure depth of the bottom plate derived based on the elastic mechanics is not strong in practicability.
The empirical formulas have the advantages of simple parameter consideration, easy parameter acquisition and great practicability, and are always used as the basis for calculating the damage depth of the bottom plate. However, the regression formulas are obtained at the damage depth of the shallow coal seam floor, and the calculation result of the empirical formula greatly deviates from the actual result along with the increase of the mining depth. The mining depth and the damage of the bottom plate are two important factors influencing the damage depth of the bottom plate, the mining depth is increased, the damage of the rock layer of the bottom plate is more serious, and the original empirical formula has certain limitation in the calculation of the damage depth of the bottom plate of the coal seam to be mined in future.
Although the obtained damage depth of the bottom plate is accurate, the method is time-consuming and labor-consuming, has certain limitation, and cannot be rapidly and economically popularized and used anytime and anywhere. The simulation consideration factors of the similar materials are few and ideal, the theoretical research significance is achieved, and the practical application is limited. The numerical simulation can consider various factors influencing the damage depth of the bottom plate, has the advantages of convenience, rapidness and the like, and becomes an important means for predicting the damage depth of the bottom plate. But the original damage degree of the stope floor rock mass must be considered, the concrete situation is specifically analyzed, otherwise, a passive situation is caused.
The mining water-flowing damage depth of the bottom plate is formed by gradually generating deformation and frictional sliding along with the original fracture and the mining fracture in the rock mass of the bottom plate under the action of mine pressure to form branch cracks, joint fractures are mutually crossed and communicated to form a belt shape, the rock mass of the bottom plate is not developed and formed before entering a plastic damage stage, and the original damage degree of the bottom plate is not quantized. The research on the damage depth of the mining water guide damage of the bottom plate focuses on theoretical calculation, field actual measurement, empirical formulas, numerical simulation and physical simulation, and the research results are mostly formed on the basis of the shallow coal seam mining practice. Therefore, with the increase of the mining depth, the damage to the rock mass of the mining floor is more serious, so that the original formula has certain limitation in the future deep coal data mining practice.
Disclosure of Invention
The invention mainly aims to provide a method for calculating the damage depth of mining water guide damage of a bottom plate, which integrates indoor single-axis test, mining residual strength and plugging and leakage detection, fracture mechanics, mine pressure control and plasticity mechanics, has concise and clear parameters, is easy to obtain, has accurate result, and is easy to use and apply.
The technical scheme adopted by the invention is as follows: a method for calculating damage depth of mining water guide damage of a bottom plate comprises the following steps:
calculating the mining damage degree of the rock mass of the bottom plate based on a uniaxial test, residual strength and plugging leakage detection;
and calculating the damage depth of the mining water guide damage of the bottom plate based on fracture mechanics, mine pressure control and plasticity mechanics.
Further, the calculation of the mining damage degree of the rock mass of the base plate based on the uniaxial test, the residual strength and the plugging leakage detection comprises the following steps:
calculation of mining damage degree of bottom plate rock mass based on single-axis test
Fundamental formula of rock damage variable
Figure RE-462323DEST_PATH_IMAGE001
（1）
In the formula (1), the reaction mixture is,
Figure RE-574636DEST_PATH_IMAGE002
the micro-element breaking strength of the rock is obtained,
Figure RE-644223DEST_PATH_IMAGE003
all are model-related parameters;
Figure RE-107565DEST_PATH_IMAGE004
（2）
Figure RE-920800DEST_PATH_IMAGE005
（3）
in the formulae (2) and (3),
Figure RE-402466DEST_PATH_IMAGE006
in order to be the modulus of elasticity,
Figure RE-377375DEST_PATH_IMAGE007
is the value of the strain at the limit peak,
Figure RE-328014DEST_PATH_IMAGE008
the stress value at the extreme peak is the value,
Figure RE-944940DEST_PATH_IMAGE009
is the Poisson's ratio;
Figure RE-31845DEST_PATH_IMAGE010
for horizontal confining pressure, according to a three-axis experiment,
Figure RE-443235DEST_PATH_IMAGE011
corresponding to the surrounding rock strain
Figure RE-864857DEST_PATH_IMAGE012
；
Figure RE-19895DEST_PATH_IMAGE013
（4）
Bringing formula (3) into formula (4) to obtain:
Figure RE-226886DEST_PATH_IMAGE014
（5）
substituting the formula (5) into the formula (1) to obtain a basic formula for constructing the mining damage degree of the bottom plate rock mass:
Figure RE-809177DEST_PATH_IMAGE015
（6）
if a uniaxial rock compression test is adopted, then
Figure RE-468828DEST_PATH_IMAGE016
The uniaxial test and the triaxial test have similar stress-strain curves at the peak reaching point, so that a simplified formula of the mining damage degree of the base plate rock mass based on the uniaxial test is obtained, and the stress-strain curve of the rock stratum is used for determining
Figure RE-427557DEST_PATH_IMAGE017
And
Figure RE-489054DEST_PATH_IMAGE018
；
Figure RE-507825DEST_PATH_IMAGE019
（7）
calculating the damage degree of the stope floor rock mass based on the uniaxial test as shown in the formula (8),
Figure RE-641391DEST_PATH_IMAGE020
the average thickness of the different strata of the stope floor,
Figure RE-138232DEST_PATH_IMAGE021
damage degrees of different strata of the bottom plate based on a uniaxial test;
Figure RE-54235DEST_PATH_IMAGE022
（8）
as can be seen from the formula (8), the formula of the mining damage degree of the baseplate rock mass based on the uniaxial test
Figure RE-243908DEST_PATH_IMAGE023
And modulus of elasticity
Figure RE-878151DEST_PATH_IMAGE024
Strain value at limit peak
Figure RE-913104DEST_PATH_IMAGE025
Stress value at ultimate Peak
Figure RE-932881DEST_PATH_IMAGE026
Average thickness of rock strata other than stope floor
Figure RE-293455DEST_PATH_IMAGE027
(ii) related;
calculation of floor rock mass mining damage degree based on residual strength
Correction formula of rock damage variable based on residual strength correction
Figure RE-414995DEST_PATH_IMAGE028
（9）
In the formula (9), the reaction mixture is,
Figure RE-253638DEST_PATH_IMAGE029
correcting the coefficient for the damage variable, and mainly reflecting the residual strength characteristics of the rock;
Figure RE-878654DEST_PATH_IMAGE030
in order to be the modulus of elasticity,
Figure RE-410130DEST_PATH_IMAGE031
is the value of the strain at the limit peak,
Figure RE-753387DEST_PATH_IMAGE032
the stress value at the extreme peak is the value,
Figure RE-910567DEST_PATH_IMAGE033
in order to obtain the poisson ratio of the fiber,
Figure RE-655669DEST_PATH_IMAGE034
the pressure is horizontal confining pressure;
substituting the formula (9) into the formula (1) to obtain a basic formula of the mining damage degree of the bottom plate rock mass:
Figure RE-358046DEST_PATH_IMAGE035
（10）
if a uniaxial rock compression test is adopted, then
Figure RE-188599DEST_PATH_IMAGE036
The uniaxial test and the triaxial test have similar stress-strain curves at the peak reaching point, so that a simplified formula of the mining damage degree of the base plate rock mass based on the residual strength is obtained:
Figure RE-369045DEST_PATH_IMAGE037
（11）
calculating the damage degree of the stope floor rock mass based on the residual strength as shown in the formula (11),
Figure RE-968653DEST_PATH_IMAGE038
is the average thickness of the different strata of the mat,
Figure RE-841931DEST_PATH_IMAGE039
damage degrees of different rock layers of the bottom plate based on residual strength;
Figure RE-409048DEST_PATH_IMAGE040
（12）
as can be seen from the formula (12), the formula of the mining damage degree of the baseplate rock mass based on the uniaxial test
Figure RE-393184DEST_PATH_IMAGE041
And damage variable correction factor
Figure RE-112879DEST_PATH_IMAGE042
Modulus of elasticity
Figure RE-157058DEST_PATH_IMAGE043
Strain value at limit peak
Figure RE-962203DEST_PATH_IMAGE044
Stress value at ultimate peak
Figure RE-484451DEST_PATH_IMAGE045
Average thickness of rock strata other than stope floor
Figure RE-58652DEST_PATH_IMAGE046
Related to;
calculation of mining damage degree of bottom plate rock mass based on plugging and leakage detection
The mining damage degree of the base plate rock mass can be obtained by adopting a rock mass drilling hole double-end plugging leakage detection system according to the water injection amount of the drilling hole, as shown in a formula (13);
Figure RE-525930DEST_PATH_IMAGE047
（13）
in the formula (15), the reaction mixture is,
Figure RE-552792DEST_PATH_IMAGE048
the total length of the water leakage section of the drill hole,
Figure RE-144310DEST_PATH_IMAGE049
the total length of the drilled hole; if no measured data exists, the mining damage degree of the bottom plate rock mass
Figure RE-573017DEST_PATH_IMAGE050
Estimation can be carried out according to the complexity of the geological structure; if the mine geology is of a simple complexity,
Figure RE-958999DEST_PATH_IMAGE051
(ii) a If the mine geology is of moderate complexity,
Figure RE-738736DEST_PATH_IMAGE052
(ii) a If the mine geological formation is complex in degree of complexity,
Figure RE-868366DEST_PATH_IMAGE053
(ii) a If the mine geology is extremely complex,
Figure RE-135269DEST_PATH_IMAGE054
；
the weighted average method is utilized to calculate the damage degree of the stope floor rock mass based on plugging and leakage detection, as shown in the formula (14),
Figure RE-957731DEST_PATH_IMAGE055
is the average thickness of the different strata of the floor,
Figure RE-959185DEST_PATH_IMAGE056
damage degrees of different rock stratums of the bottom plate based on plugging leakage detection;
Figure RE-626927DEST_PATH_IMAGE057
（14）
calculation of floor rock mass mining damage degree based on weighted average
Figure RE-764647DEST_PATH_IMAGE058
（15）。
Further, the calculation of the damage depth of the mining water diversion damage of the bottom plate based on fracture mechanics, mine pressure control and plasticity mechanics comprises the following steps:
floor mining water guide damage zone depth calculation based on fracture mechanics
Correcting the mining water guide damage degree based on a constructed bottom plate according to a fracture mechanics formula, wherein a formula of the depth of a mining water guide damage zone of the bottom plate is shown as the following formula;
Figure 568693DEST_PATH_IMAGE058
（16）
equation (16) applies to the case where the production depth does not exceed 500m,
Figure 392292DEST_PATH_IMAGE059
is the average volume weight of the rock mass of the bottom plate,
Figure 249390DEST_PATH_IMAGE060
in order to achieve the depth of mining,
Figure 350201DEST_PATH_IMAGE061
the length of the wall-type working surface is,
Figure 532920DEST_PATH_IMAGE062
the compressive strength of the bottom plate rock mass is generally 0.15 time of the compressive strength of the rock;
Figure 578237DEST_PATH_IMAGE063
the mining damage degree of the bottom plate rock mass;
bottom plate mining water guide damage zone depth calculation based on mine pressure control
Assuming that the stope floor rock mass is uniformly damaged, the damage variable is
Figure 239025DEST_PATH_IMAGE064
According to the assumption of damage mechanics, then the vertical stress
Figure 443611DEST_PATH_IMAGE065
And horizontal stress
Figure 531652DEST_PATH_IMAGE066
As shown in formula (17);
Figure 329844DEST_PATH_IMAGE067
（17）
according to the mine pressure control theory, the maximum principal stress of the floor rock mass of the stope
Figure 669690DEST_PATH_IMAGE068
At different position depths
Figure 604148DEST_PATH_IMAGE069
The decay is according to the formula (18), wherein
Figure 863091DEST_PATH_IMAGE070
The maximum concentration coefficient of mine pressure;
Figure 273212DEST_PATH_IMAGE071
（18）
substituting the formula (18) into the formula (17) to obtain a floor mining water guide damage zone depth formula based on mine pressure control;
Figure 275803DEST_PATH_IMAGE072
（19）
bottom plate mining water guide damage zone depth calculation based on plastic mechanics
According to the theoretical formula of plastic mechanics,
Figure 64768DEST_PATH_IMAGE073
can be represented by the formula (20), wherein
Figure 760191DEST_PATH_IMAGE074
Is the internal friction angle of the bottom plate rock mass;
Figure 142762DEST_PATH_IMAGE075
（20）
floor mining water guide damage zone depth formula based on weighted average
Figure 683465DEST_PATH_IMAGE076
（21）。
The invention has the advantages that:
the mining damage degree of the baseplate rock mass is quantified on the basis of a uniaxial test, residual strength and plugging leak detection, and the mining water guide damage failure depth of the baseplate is calculated on the basis of fracture mechanics, mine pressure control and plasticity mechanics. The method disclosed by the invention not only integrates indoor uniaxial tests, mining residual strength and plugging and leakage detection, but also integrates fracture mechanics, mine pressure control and plasticity mechanics, the parameters are concise and easy to obtain, and the results are accurate, practical and easy to apply.
In addition to the objects, features and advantages described above, other objects, features and advantages of the present invention are also provided. The present invention will be described in further detail below with reference to the drawings.
Drawings
The accompanying drawings, which are incorporated in and constitute a part of this application, are included to provide a further understanding of the invention, and are incorporated in and constitute a part of this specification.
FIG. 1 is a diagram of a rock drilling double-end plugging leakage detection system;
fig. 2 is a flow chart of the method of the present invention.
Detailed Description
In order to make the objects, technical solutions and advantages of the present invention more apparent, the present invention is further described in detail below with reference to the accompanying drawings and embodiments. It should be understood that the specific embodiments described herein are merely illustrative of the invention and are not intended to limit the invention.
Floor rock mass mining damage degree formula based on uniaxial test, residual strength and plugging leak detection
(1) Baseplate rock mass mining damage degree formula based on single-axis test
Basic formula of rock damage variable
Figure 592515DEST_PATH_IMAGE077
（1）
In the formula (1), the reaction mixture is,
Figure 586403DEST_PATH_IMAGE078
the micro-element breaking strength of the rock is provided,
Figure 580904DEST_PATH_IMAGE079
are all model-related parameters.
Figure 925298DEST_PATH_IMAGE080
（2）
Figure 829800DEST_PATH_IMAGE081
（3）
In the formulae (2) and (3),
Figure 867026DEST_PATH_IMAGE082
in order to be the modulus of elasticity,
Figure 83244DEST_PATH_IMAGE083
is the value of the strain at the limit peak,
Figure 231328DEST_PATH_IMAGE084
the stress value at the extreme peak is the value,
Figure 974025DEST_PATH_IMAGE085
is the poisson ratio.
Figure 182153DEST_PATH_IMAGE033
For horizontal confining pressure, according to a three-axis experiment,
Figure 885667DEST_PATH_IMAGE086
corresponding to the surrounding rock strain
Figure 712808DEST_PATH_IMAGE087
。
Figure 450957DEST_PATH_IMAGE088
（4）
Bringing formula (3) into formula (4) to give:
Figure 829986DEST_PATH_IMAGE089
（5）
substituting the formula (5) into the formula (1) to obtain a basic formula for constructing the mining damage degree of the floor rock mass:
Figure 411009DEST_PATH_IMAGE090
（7）
if the uniaxial compression test of the rock is adopted, then
Figure 900896DEST_PATH_IMAGE091
The uniaxial test and the triaxial test have similar stress-strain curves at the peak reaching point, so that a simplified formula of the mining damage degree of the base plate rock mass based on the uniaxial test is obtained, and the stress-strain curve of the rock stratum is used for determining
Figure 227972DEST_PATH_IMAGE092
And
Figure 777902DEST_PATH_IMAGE093
。
Figure 596954DEST_PATH_IMAGE094
（8）
calculating the damage degree of the mining floor rock mass based on the uniaxial test as shown in the formula (8),
Figure 890532DEST_PATH_IMAGE095
the average thickness of the different strata of the stope floor,
Figure 337694DEST_PATH_IMAGE021
damage based on uniaxial tests for different strata of the floor.
Figure 183159DEST_PATH_IMAGE096
（8）
As can be seen from the formula (8), the formula of the mining damage degree of the baseplate rock mass based on the uniaxial test
Figure 348561DEST_PATH_IMAGE097
And modulus of elasticity
Figure 180251DEST_PATH_IMAGE098
Strain value at limit peak
Figure 622864DEST_PATH_IMAGE043
Stress value at ultimate Peak
Figure 514597DEST_PATH_IMAGE099
Average thickness of rock strata other than stope floor
Figure 167295DEST_PATH_IMAGE100
It is related.
(2) Residual strength based floor rock mass mining damage degree formula
Correction formula of rock damage variable based on residual strength correction
Figure 754458DEST_PATH_IMAGE101
（9）
In the formula (9), the reaction mixture is,
Figure 176212DEST_PATH_IMAGE029
and correcting the coefficient for the damage variable, wherein the residual strength characteristic of the rock is mainly reflected.
Figure 238846DEST_PATH_IMAGE102
In order to be the modulus of elasticity,
Figure 988627DEST_PATH_IMAGE103
is the value of the strain at the limit peak,
Figure 427699DEST_PATH_IMAGE104
is the stress value at the limit peak value,
Figure 969539DEST_PATH_IMAGE105
in order to obtain the poisson ratio,
Figure 327708DEST_PATH_IMAGE106
is horizontal confining pressure.
Substituting the formula (9) into the formula (1) to obtain a basic formula of the mining damage degree of the floor rock mass:
Figure 689419DEST_PATH_IMAGE107
（10）
if a uniaxial rock compression test is adopted, then
Figure 666602DEST_PATH_IMAGE108
And the uniaxial test and the triaxial test have similar stress-strain curves at the peak reaching point, so that a simplified formula of the mining damage degree of the base plate rock mass based on the residual strength is obtained.
Figure 938315DEST_PATH_IMAGE109
（11）
Calculating the damage degree of the stope floor rock mass based on the residual strength as shown in the formula (11),
Figure 342751DEST_PATH_IMAGE037
is the average thickness of the different strata of the mat,
Figure 191759DEST_PATH_IMAGE110
the damage degree based on residual strength for different strata of the floor.
Figure 707054DEST_PATH_IMAGE111
（12）
As can be seen from the formula (12), the formula of the mining damage degree of the baseplate rock mass based on the uniaxial test
Figure 348119DEST_PATH_IMAGE112
And damage variable correction factor
Figure 923457DEST_PATH_IMAGE113
Modulus of elasticity
Figure 259761DEST_PATH_IMAGE114
Strain value at limit peak
Figure 719692DEST_PATH_IMAGE025
Stress value at ultimate Peak
Figure 825051DEST_PATH_IMAGE115
Average thickness of rock strata other than stope floor
Figure 571290DEST_PATH_IMAGE037
It is related.
(3) Floor rock mass mining damage degree formula based on plugging and leakage detection
The mining damage degree of the base plate rock mass can be obtained by adopting a rock mass drilling double-end plugging leakage detection system according to the water injection amount of the drilling hole, as shown in a formula (13).
Figure 253944DEST_PATH_IMAGE116
（13）
In the formula (13), the reaction mixture is,
Figure 642200DEST_PATH_IMAGE117
in order to drill the total length of the water leakage section,
Figure 602066DEST_PATH_IMAGE118
the total length of the borehole. If no measured data exists, the mining damage degree of the bottom plate rock mass
Figure 394573DEST_PATH_IMAGE119
The estimation can be based on the complexity of the geological formation. If the mine geology is of a simple complexity,
Figure 705468DEST_PATH_IMAGE120
(ii) a If the mine geological formation is of moderate complexity,
Figure 366257DEST_PATH_IMAGE121
(ii) a If the mine geology is complex in complexity,
Figure 573772DEST_PATH_IMAGE122
(ii) a If the mine geology is extremely complex,
Figure 927393DEST_PATH_IMAGE123
。
the weighted average method is utilized to calculate the damage degree of the stope floor rock mass based on plugging and leakage detection, as shown in the formula (14),
Figure 460005DEST_PATH_IMAGE124
is the average thickness of the different strata of the mat,
Figure 65430DEST_PATH_IMAGE125
and the damage degree of different rock stratums of the bottom plate is detected based on plugging.
Figure 734309DEST_PATH_IMAGE126
（14）
(4) Floor rock mass mining damage degree formula based on weighted average
Figure 258831DEST_PATH_IMAGE127
（15）
Baseboard mining water guide damage depth formula based on fracture mechanics, mine pressure control and plasticity mechanics
(1) Floor mining water guide damage zone depth formula based on fracture mechanics
According to a fracture mechanics formula, based on the construction of the mining water guide damage degree correction of the bottom plate, the depth formula of the mining water guide damage zone of the bottom plate is shown as the following formula.
Figure 278740DEST_PATH_IMAGE128
（16）
Equation (16) applies to mining depths not exceeding 500m,
Figure 405965DEST_PATH_IMAGE129
is the average volume weight of the rock mass of the bottom plate,
Figure 460508DEST_PATH_IMAGE130
in order to achieve the depth of mining,
Figure 155932DEST_PATH_IMAGE131
the length of the wall-type working surface is,
Figure 272924DEST_PATH_IMAGE132
the compressive strength of the bottom plate rock mass is generally 0.15 times of the compressive strength of the rock mass;
Figure 79206DEST_PATH_IMAGE133
is the mining damage degree of the bottom plate rock mass.
(2) Floor mining water guide damage zone depth formula based on mine pressure control
Assuming that the stope floor rock mass is uniformly damaged, the damage variable is
Figure 253835DEST_PATH_IMAGE134
According to the assumption of damage mechanics, then the vertical stress
Figure 979214DEST_PATH_IMAGE135
And horizontal stress
Figure 973715DEST_PATH_IMAGE136
As shown in equation (17).
Figure 318109DEST_PATH_IMAGE137
（17）
According to mine pressure control theory, the maximum principal stress of stope floor rock mass
Figure 81665DEST_PATH_IMAGE138
At different position depths
Figure 728679DEST_PATH_IMAGE139
The decay is according to the formula (18), wherein
Figure 476055DEST_PATH_IMAGE140
The maximum concentration coefficient of mine pressure.
Figure 624139DEST_PATH_IMAGE141
（18）
Substituting the formula (18) into the formula (17) to obtain a floor mining water guide damage zone depth formula based on mine pressure control.
Figure 366836DEST_PATH_IMAGE142
（19）
(3) Floor mining water guide damage zone depth formula based on plastic mechanics
According to the theoretical formula of plastic mechanics,
Figure 574964DEST_PATH_IMAGE143
can be represented by the formula (20)In
Figure 278477DEST_PATH_IMAGE144
Is the internal friction angle of the bottom plate rock mass.
Figure 964674DEST_PATH_IMAGE145
（22）
(4) Floor mining water guide damage zone depth formula based on weighted average
Figure 578189DEST_PATH_IMAGE146
（21）
1. Calculating the depth of the mining water guide damage zone of the bottom plate
(1) Original data of bottom plate rock mass of 51302 coal face of Shandong Liangzhuang coal mine
The lithology of the bottom plate of the 51302 coal face of the Shandong Liangzhuang coal mine is mainly siltstone, sandstone and limestone, wherein the slow ash is an important aquifer, and the dynamic water supply condition is good. But the coal seam bottom to the slow ash can be regarded as a water-resisting layer, and the influence of flowing water is not considered. The 51302 working face is positioned on the east wing of the-580 horizontal five-mining-area and is the first mining working face of the 13 coal seams of the five-mining-area. The direction of the surface is 690m long, the inclined width is 165m, and the mining depth is 640m.13 coal layers are about 40m away from slow ash and about 78m away from Ordovician ash, the mine pressure stress concentration coefficient is 2.8, and the average density of an overlying strata is 28KN/m 3 The internal friction angle of the bottom plate rock mass is
Figure 957218DEST_PATH_IMAGE147
The maximum principal stress of the bottom plate rock mass is 13.1MPa.51302 the mechanical parameters of the floor strata of the face are shown in table 1,
Figure 148027DEST_PATH_IMAGE148
in order to provide a horizontal stress, the stress,
Figure 765478DEST_PATH_IMAGE149
is the value of strain at the limit peak, the value of stress at the limit peak
Figure 358133DEST_PATH_IMAGE150
The stress value at the limit peak is.
Figure 908064DEST_PATH_IMAGE151
(2) And calculating the mining damage degree of the bottom plate rock mass based on the uniaxial test, the residual strength and the plugging leakage detection, wherein the mining damage degree D =0.49 of the bottom plate rock mass based on weighted average.
Figure 727115DEST_PATH_IMAGE152
(3) Calculating the damage depth of the mining water diversion damage of the bottom plate based on fracture mechanics, mine pressure control and plasticity mechanics
Figure 755114DEST_PATH_IMAGE153
Figure 202276DEST_PATH_IMAGE154
Figure 923107DEST_PATH_IMAGE155
Figure 213143DEST_PATH_IMAGE156
Figure 44833DEST_PATH_IMAGE157
Figure 346501DEST_PATH_IMAGE158
The calculation results show that the floor mining water diversion damage depth discrete type based on fracture mechanics, mine pressure control and plasticity mechanics is large, the ratio of the maximum value to the minimum value is 4.19, and the ratios of the three calculation results to the final result are 0.84, 1.74 and 0.42, which indicates that the calculation results of different formulas are large in difference and are often different from the engineering result. The final calculation result is 69.27m, which shows that the formula integrates various theories and different factors to solve the problem to a certain extent.
The above description is only for the purpose of illustrating the preferred embodiments of the present invention and is not to be construed as limiting the invention, and any modifications, equivalents, improvements and the like that fall within the spirit and principle of the present invention are intended to be included therein.

Claims (3)

1. A method for calculating damage depth of mining water guide damage of a bottom plate is characterized by comprising the following steps:
calculating the mining damage degree of the rock mass of the bottom plate based on a uniaxial test, residual strength and plugging leakage detection;
and calculating the damage depth of the mining water guide damage of the bottom plate based on fracture mechanics, mine pressure control and plasticity mechanics.
2. The floor mining water guide damage depth calculation method according to claim 1,
the method is characterized in that the calculation of the mining damage degree of the rock mass of the bottom plate based on the uniaxial test, the residual strength and the plugging leakage detection comprises the following steps:
calculation of mining damage degree of bottom plate rock mass based on single-axis test
Basic formula of rock damage variable
Figure RE-591604DEST_PATH_IMAGE001
（1）
In the formula (1), the acid-base catalyst,
Figure RE-721234DEST_PATH_IMAGE002
the micro-element breaking strength of the rock is provided,
Figure RE-4447DEST_PATH_IMAGE003
are all model phasesClosing the parameters;
Figure RE-561331DEST_PATH_IMAGE004
（2）
Figure RE-562785DEST_PATH_IMAGE005
（3）
in the formulae (2) and (3),
Figure RE-479794DEST_PATH_IMAGE006
in order to be the modulus of elasticity,
Figure RE-883094DEST_PATH_IMAGE007
is the value of the strain at the limit peak,
Figure RE-610878DEST_PATH_IMAGE008
the stress value at the extreme peak is the value,
Figure RE-834049DEST_PATH_IMAGE009
is the poisson ratio;
Figure RE-305482DEST_PATH_IMAGE010
for horizontal confining pressure, according to a three-axis experiment,
Figure RE-563288DEST_PATH_IMAGE011
corresponding to the surrounding rock strain
Figure RE-727553DEST_PATH_IMAGE012
；
Figure RE-687287DEST_PATH_IMAGE013
（4）
Bringing formula (3) into formula (4) to obtain:
Figure RE-696832DEST_PATH_IMAGE014
（5）
substituting the formula (5) into the formula (1) to obtain a basic formula for constructing the mining damage degree of the bottom plate rock mass:
Figure RE-74723DEST_PATH_IMAGE015
（9）
if the uniaxial compression test of the rock is adopted, then
Figure RE-144311DEST_PATH_IMAGE016
The uniaxial test and the triaxial test have similar stress-strain curves at the peak reaching point, so that a simplified formula of the mining damage degree of the base plate rock mass based on the uniaxial test is obtained, and the stress-strain curve of the rock stratum is used for determining
Figure RE-342074DEST_PATH_IMAGE017
And
Figure RE-155309DEST_PATH_IMAGE018
；
Figure RE-636975DEST_PATH_IMAGE019
（7）
calculating the damage degree of the mining floor rock mass based on the uniaxial test as shown in the formula (8),
Figure RE-143042DEST_PATH_IMAGE020
the average thickness of the different strata of the stope floor,
Figure RE-828102DEST_PATH_IMAGE021
damage degrees of different strata of the bottom plate based on a uniaxial test;
Figure RE-179449DEST_PATH_IMAGE022
（8）
from the formula (8), the formula of the mining damage degree of the bottom plate rock mass based on the uniaxial test
Figure RE-266353DEST_PATH_IMAGE023
And modulus of elasticity
Figure RE-943322DEST_PATH_IMAGE024
Strain value at limit peak
Figure RE-115678DEST_PATH_IMAGE025
Stress value at ultimate peak
Figure RE-269052DEST_PATH_IMAGE026
Average thickness of rock strata other than stope floor
Figure RE-476043DEST_PATH_IMAGE027
Related to;
calculation of mining damage degree of bottom plate rock mass based on residual strength
Correction formula of rock damage variable based on residual strength correction
Figure RE-323913DEST_PATH_IMAGE028
（9）
In the formula (9), the reaction mixture is,
Figure RE-983564DEST_PATH_IMAGE029
correcting the coefficient for the damage variable, and mainly reflecting the residual strength characteristics of the rock;
Figure RE-676714DEST_PATH_IMAGE030
in order to be the modulus of elasticity,
Figure RE-472632DEST_PATH_IMAGE031
is the value of the strain at the limit peak,
Figure RE-740671DEST_PATH_IMAGE032
the stress value at the extreme peak is the value,
Figure RE-887618DEST_PATH_IMAGE033
in order to obtain the poisson ratio,
Figure RE-650038DEST_PATH_IMAGE034
the pressure is horizontal confining pressure;
substituting the formula (9) into the formula (1) to obtain a basic formula of the mining damage degree of the floor rock mass:
Figure RE-300462DEST_PATH_IMAGE035
（10）
if a uniaxial rock compression test is adopted, then
Figure RE-224556DEST_PATH_IMAGE036
The uniaxial test and the triaxial test have similar stress-strain curves at the peak reaching point, so that a simplified formula of the mining damage degree of the base plate rock mass based on the residual strength is obtained:
Figure RE-858800DEST_PATH_IMAGE037
（11）
calculating the damage degree of the stope floor rock mass based on the residual strength is shown as a formula (11),
Figure RE-159331DEST_PATH_IMAGE038
is the average thickness of the different strata of the floor,
Figure RE-179108DEST_PATH_IMAGE039
is a bottom plateDamage degree of different rock formations based on residual strength;
Figure RE-274103DEST_PATH_IMAGE040
（12）
as can be seen from the formula (12), the formula of the mining damage degree of the baseplate rock mass based on the uniaxial test
Figure RE-395643DEST_PATH_IMAGE041
And damage variable correction factor
Figure RE-499865DEST_PATH_IMAGE042
Modulus of elasticity
Figure RE-859302DEST_PATH_IMAGE043
Strain value at limit peak
Figure RE-390778DEST_PATH_IMAGE044
Stress value at ultimate peak
Figure RE-983302DEST_PATH_IMAGE045
Average thickness of rock strata other than stope floor
Figure RE-891215DEST_PATH_IMAGE046
(ii) related;
calculation of mining damage degree of bottom plate rock mass based on plugging and leakage detection
The mining damage degree of the baseplate rock mass can be obtained by adopting a rock mass drilling double-end plugging leakage detection system according to the water injection amount of a drilling hole, as shown in a formula (13);
Figure RE-370738DEST_PATH_IMAGE047
（13）
in the formula (13), the reaction mixture is,
Figure RE-73115DEST_PATH_IMAGE048
the total length of the water leakage section of the drill hole,
Figure RE-903668DEST_PATH_IMAGE049
the total length of the drilled hole; if no measured data exists, the mining damage degree of the bottom plate rock mass
Figure RE-349693DEST_PATH_IMAGE050
Estimation can be carried out according to the complexity of the geological structure; if the mine geology is of a simple complexity,
Figure RE-935919DEST_PATH_IMAGE051
(ii) a If the mine geological formation is of moderate complexity,
Figure RE-809197DEST_PATH_IMAGE052
(ii) a If the mine geology is complex in complexity,
Figure RE-127046DEST_PATH_IMAGE053
(ii) a If the mine geology is extremely complex,
Figure RE-845603DEST_PATH_IMAGE054
；
the weighted average method is utilized to calculate the damage degree of the stope floor rock mass based on plugging and leakage detection, as shown in the formula (14),
Figure RE-565298DEST_PATH_IMAGE055
is the average thickness of the different strata of the floor,
Figure RE-609477DEST_PATH_IMAGE056
damage degrees of different rock stratums of the bottom plate based on plugging leakage detection;
Figure RE-414622DEST_PATH_IMAGE057
（14）
calculation of floor rock mass mining damage degree based on weighted average
Figure RE-451717DEST_PATH_IMAGE058
（15）。
3. The floor mining water guide damage depth calculation method according to claim 1,
the method is characterized in that the calculation of the damage depth of the mining water guide damage of the bottom plate based on fracture mechanics, mine pressure control and plasticity mechanics comprises the following steps:
bottom plate mining water guide damage zone depth calculation based on fracture mechanics
According to a fracture mechanics formula, correcting the mining water guide damage degree based on a constructed bottom plate, wherein a formula of the depth of the mining water guide damage zone of the bottom plate is shown as a formula (16);
Figure 88535DEST_PATH_IMAGE057
（16）
equation (16) applies to mining depths not exceeding 500m,
Figure 652896DEST_PATH_IMAGE058
is the average volume weight of the rock mass of the bottom plate,
Figure 483448DEST_PATH_IMAGE059
in order to achieve the depth of mining,
Figure 788528DEST_PATH_IMAGE060
the length of the wall-type working surface is,
Figure 388136DEST_PATH_IMAGE061
the compressive strength of the bottom plate rock mass is generally 0.15 time of the compressive strength of the rock;
Figure 261414DEST_PATH_IMAGE062
the mining damage degree of the bottom plate rock mass;
bottom plate mining water guide damage zone depth calculation based on mine pressure control
Assuming that the stope floor rock mass is uniformly damaged, the damage variable is
Figure 438318DEST_PATH_IMAGE063
According to the assumption of damage mechanics, then the vertical stress
Figure 422454DEST_PATH_IMAGE064
And horizontal stress
Figure 142149DEST_PATH_IMAGE065
As shown in formula (17);
Figure 45383DEST_PATH_IMAGE066
（17）
according to mine pressure control theory, the maximum principal stress of stope floor rock mass
Figure 584948DEST_PATH_IMAGE067
At different position depths
Figure 372776DEST_PATH_IMAGE068
The decay law is shown in formula (18), wherein
Figure 806031DEST_PATH_IMAGE069
The maximum concentration coefficient of mine pressure;
Figure 755533DEST_PATH_IMAGE070
（18）
substituting the formula (18) into the formula (17) to obtain a floor mining water guide damage zone depth formula based on mine pressure control;
Figure 172607DEST_PATH_IMAGE071
（19）
bottom plate mining water guide damage zone depth calculation based on plastic mechanics
According to the theoretical formula of plastic mechanics,
Figure 232967DEST_PATH_IMAGE072
can be represented by the formula (20), wherein
Figure 927254DEST_PATH_IMAGE073
Is the internal friction angle of the bottom plate rock mass;
Figure 172290DEST_PATH_IMAGE074
（20）
floor mining water guide damage zone depth formula based on weighted average
Figure 686448DEST_PATH_IMAGE075
（21）。
CN202211171417.5A 2022-09-26 2022-09-26 Method for calculating damage depth of mining water guide damage of bottom plate Withdrawn CN115493934A (en)

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Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN116611265A (en) * 2023-07-18 2023-08-18 北京建筑大学 Method and device for predicting stress and strain of deep anisotropic rock

Cited By (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN116611265A (en) * 2023-07-18 2023-08-18 北京建筑大学 Method and device for predicting stress and strain of deep anisotropic rock
CN116611265B (en) * 2023-07-18 2023-09-22 北京建筑大学 Method and device for predicting stress and strain of deep anisotropic rock

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