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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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

一种底板采动导水损伤破坏深度计算方法A Calculation Method for Destruction Depth of Floor Mining Water Conduction Damage

技术领域technical field

本发明涉及底板采动导水损伤破坏深度技术，具体涉及一种底板采动导水损伤破坏深度计算方法。The invention relates to a technology for damage and damage depth of floor mining water conduction, in particular to a method for calculating the damage depth of floor mining water conduction damage.

背景技术Background technique

目前，底板采动导水损伤破坏深度是指煤层底板岩层受采动影响而产生的采动裂隙范围，其值为自煤层底板自采动破坏带最深处的法线距离。现场测试确定底板破坏深度，一般是根据钻孔注水测试资料来确定，但往往受制于现场生产技术条件无法准确及时获得。底板采动导水损伤破坏深度主要取决于采场矿压，其影响因素有开采深度、煤层请教、开采厚度、采面长度和顶板管理，还与底板岩层的抗破坏能力（岩石强度、岩层组合和裂隙发育）有关。At present, the damage depth of floor mining water conduction damage refers to the range of mining cracks in the coal seam floor stratum affected by mining, and its value is the normal distance from the deepest part of the coal seam floor self-mining failure zone. On-site testing to determine the depth of floor damage is generally based on drilling and water injection test data, but it is often limited by on-site production technical conditions and cannot be obtained accurately and in time. The damage depth of floor mining water conduction damage mainly depends on the mine pressure in the stope, and its influencing factors include mining depth, coal seam consultation, mining thickness, mining face length, and roof management, as well as the anti-destructive ability of the floor strata (rock strength, rock formation combination, etc.) and fissure development).

底板采动导水损伤破坏深度是随着底板岩体中的原始裂隙及采动裂隙在矿山压力作用下逐渐产生变形、摩擦滑动进而形成分支裂纹，节理裂隙相互交错贯通形成带状，并非使底板岩体进入到塑性破坏阶段才发育形成的，其原始损伤度往往没有量化。这一部分的底板岩体既丧失了隔水能力，又进一步受采动作用增大了渗透性。底板采动导水损伤破坏深度的研究集中在理论计算、现场实测、经验公式、数值模拟和物理模拟，这些研究成果多是在浅部煤层开采实践基础上形成。所以，随着开采深度的增加，采场底板岩体损伤更加严重，使得原有公式在今后的深部煤炭资料回采实践中有了一定的局限性。The damage depth of floor mining water conduction damage is as the original cracks in the floor rock mass and the mining cracks gradually deform under the action of mine pressure, friction and slide to form branch cracks. The rock mass is not developed until it enters the stage of plastic failure, and its original damage degree is often not quantified. This part of the floor rock mass not only loses its water-repelling capacity, but also increases its permeability due to further mining. The research on the damage depth of floor mining water conduction focuses on theoretical calculation, field measurement, empirical formula, numerical simulation and physical simulation. Most of these research results are formed on the basis of shallow coal seam mining practice. Therefore, with the increase of mining depth, the damage to the stope floor rock mass is more serious, which makes the original formula have certain limitations in the practice of deep coal data mining in the future.

理论计算都是建立在一些基本假定基础上的，如假定物体是连续的；如假定物体是完全弹性的；假定物体是均匀的；假定物体是各向同性的等。所有这些假定是不适合岩体的力学特征的。所以，基于弹性力学推导出的底板破坏深度理论公式实用性不强。Theoretical calculations are based on some basic assumptions, such as assuming that the object is continuous; such as assuming that the object is completely elastic; assuming that the object is uniform; assuming that the object is isotropic and so on. All these assumptions are not suitable for the mechanical characteristics of rock mass. Therefore, the theoretical formula of the damage depth of the floor based on elastic mechanics is not practical.

这些经验公式考虑参数简单，并且参数易于获取，具有很大的实用性，一直以来都作为底板破坏深度计算的依据。但是这些回归公式的获得均是在浅煤层底板破坏深度上获得的，随着开采深度的增加，经验公式的计算结果与实际有了很大的偏差。采深和底板损伤是影响底板破坏深度的两个重要因素，开采深度增加，底板岩层的损伤更加严重，使得原有的经验公式在今后开采煤层底板破坏深度的计算中有了一定的局限性。These empirical formulas consider simple parameters, are easy to obtain, and have great practicability. They have always been used as the basis for calculating the depth of floor damage. However, these regression formulas are all obtained on the failure depth of the shallow coal seam floor. With the increase of mining depth, the calculation results of the empirical formulas deviate greatly from the actual ones. Mining depth and floor damage are two important factors affecting the depth of floor failure. As the mining depth increases, the damage to the floor strata becomes more serious, which limits the use of the original empirical formula in the calculation of the depth of floor failure in future mining coal seams.

现场实测的方法获得底板破坏深度虽然精确，但费时费力，具有一定局限性，无法随时随地快速经济推广使用。相似材料模拟考虑因素较少且理想化，具有理论研究意义，实际应用受限。数值模拟可以考虑影响底板破坏深度的多种因素，且具有方便快捷等优点，成为预测底板破坏深度的重要手段。但必须考虑采场底板岩体原始损伤程度，具体情况具体分析，否则就会造成比较被动的局面。Although the on-site measurement method is accurate to obtain the damage depth of the floor, it is time-consuming and laborious, and has certain limitations, and cannot be quickly and economically promoted and used anytime and anywhere. The simulation of similar materials has fewer considerations and is idealized, which has theoretical research significance but is limited in practical application. Numerical simulation can consider various factors affecting the damage depth of the floor, and has the advantages of convenience and quickness. It has become an important means of predicting the depth of floor damage. However, the original damage degree of the stope floor rock mass must be considered, and the specific situation shall be analyzed in detail, otherwise a relatively passive situation will result.

底板采动导水损伤破坏深度是随着底板岩体中的原始裂隙及采动裂隙在矿山压力作用下逐渐产生变形、摩擦滑动进而形成分支裂纹，节理裂隙相互交错贯通形成带状，并非使底板岩体进入到塑性破坏阶段才发育形成的，其原始损伤度往往没有量化。底板采动导水损伤破坏深度的研究集中在理论计算、现场实测、经验公式、数值模拟和物理模拟，这些研究成果多是在浅部煤层开采实践基础上形成。所以，随着开采深度的增加，采场底板岩体损伤更加严重，使得原有公式在今后的深部煤炭资料回采实践中有了一定的局限性。The damage depth of floor mining water conduction damage is as the original cracks in the floor rock mass and the mining cracks gradually deform under the action of mine pressure, friction and slide to form branch cracks. The rock mass is not developed until it enters the stage of plastic failure, and its original damage degree is often not quantified. The research on the damage depth of floor mining water conduction focuses on theoretical calculation, field measurement, empirical formula, numerical simulation and physical simulation. Most of these research results are formed on the basis of shallow coal seam mining practice. Therefore, with the increase of mining depth, the damage to the stope floor rock mass is more serious, which makes the original formula have certain limitations in the practice of deep coal data mining in the future.

发明内容Contents of the invention

本发明的主要目的在于提供一种底板采动导水损伤破坏深度计算方法，不但融合室内单轴试验、采空残余强度和封堵测漏，也融合了断裂力学、矿压控制和塑性力学，其参数简洁明了易于获得，其结果准确使用易于应用。The main purpose of the present invention is to provide a method for calculating the damage depth of floor mining water conduction damage, which not only integrates indoor uniaxial test, goaf residual strength and plugging leak detection, but also integrates fracture mechanics, mine pressure control and plastic mechanics. Its parameters are concise and easy to obtain, and its results are accurate and easy to apply.

本发明采用的技术方案是：一种底板采动导水损伤破坏深度计算方法，包括：The technical solution adopted in the present invention is: a method for calculating the damage depth of floor mining water guide damage, including:

基于单轴试验、残余强度和封堵测漏的底板岩体采动损伤度计算；Calculation of floor rock mass mining damage based on uniaxial test, residual strength and leak detection;

基于断裂力学、矿压控制和塑性力学的底板采动导水损伤破坏深度计算。Calculation of damage depth of floor mining water conduction damage based on fracture mechanics, mine pressure control and plastic mechanics.

进一步地，所述基于单轴试验、残余强度和封堵测漏的底板岩体采动损伤度计算包括：Further, the calculation of the mining damage degree of floor rock mass based on uniaxial test, residual strength and plugging leak detection includes:

基于单轴试验的底板岩体采动损伤度计算Calculation of Mining Damage Degree of Floor Rock Mass Based on Uniaxial Test

岩石损伤变量的基本公式Basic formulas for rock damage variables

Figure RE-462323DEST_PATH_IMAGE001
（1）
Figure RE-462323DEST_PATH_IMAGE001
(1)

式（1）中，

Figure RE-574636DEST_PATH_IMAGE002
为岩石微元破坏强度，
Figure RE-644223DEST_PATH_IMAGE003
均为模型相关参数；In formula (1),
Figure RE-574636DEST_PATH_IMAGE002
is the micro-element failure strength of the rock,
Figure RE-644223DEST_PATH_IMAGE003
are model-related parameters;

Figure RE-107565DEST_PATH_IMAGE004
（2）
Figure RE-107565DEST_PATH_IMAGE004
(2)

Figure RE-920800DEST_PATH_IMAGE005
（3）
Figure RE-920800DEST_PATH_IMAGE005
(3)

式（2）和式（3）中，

Figure RE-402466DEST_PATH_IMAGE006
为弹性模量，
Figure RE-377375DEST_PATH_IMAGE007
为极限峰值下的应变数值，
Figure RE-328014DEST_PATH_IMAGE008
为极限峰值下的应力数值，
Figure RE-944940DEST_PATH_IMAGE009
为泊松比；
Figure RE-31845DEST_PATH_IMAGE010
为水平围压，根据三轴实验，
Figure RE-443235DEST_PATH_IMAGE011
，相应的围岩应变有
Figure RE-864857DEST_PATH_IMAGE012
；In formula (2) and formula (3),
Figure RE-402466DEST_PATH_IMAGE006
is the modulus of elasticity,
Figure RE-377375DEST_PATH_IMAGE007
is the strain value under the limiting peak value,
Figure RE-328014DEST_PATH_IMAGE008
is the stress value under the limiting peak value,
Figure RE-944940DEST_PATH_IMAGE009
is Poisson's ratio;
Figure RE-31845DEST_PATH_IMAGE010
is the horizontal confining pressure, according to the triaxial experiment,
Figure RE-443235DEST_PATH_IMAGE011
, and the corresponding surrounding rock strain is
Figure RE-864857DEST_PATH_IMAGE012
;

Figure RE-19895DEST_PATH_IMAGE013
（4）
Figure RE-19895DEST_PATH_IMAGE013
(4)

将式（3）带入式（4），得：Put formula (3) into formula (4), get:

Figure RE-226886DEST_PATH_IMAGE014
（5）
Figure RE-226886DEST_PATH_IMAGE014
(5)

式（5）带入式（1），得构建底板岩体采动损伤度的基本公式：Substituting Equation (5) into Equation (1), the basic formula for constructing the mining damage degree of floor rock mass is obtained:

Figure RE-809177DEST_PATH_IMAGE015
（6）
Figure RE-809177DEST_PATH_IMAGE015
(6)

若采用岩石单轴压缩试验，则

Figure RE-468828DEST_PATH_IMAGE016
，单轴试验和三轴试验在到达峰值点钱具有相似的应力应变曲线，因此得到基于单轴试验的底板岩体采动损伤度简化公式，根据岩层的应力应变曲线来确定
Figure RE-427557DEST_PATH_IMAGE017
和
Figure RE-489054DEST_PATH_IMAGE018
；If the rock uniaxial compression test is used, then
Figure RE-468828DEST_PATH_IMAGE016
, the uniaxial test and the triaxial test have similar stress-strain curves at the peak point, so the simplified formula for the mining damage degree of the floor rock mass based on the uniaxial test is obtained, which is determined according to the stress-strain curve of the rock formation
Figure RE-427557DEST_PATH_IMAGE017
with
Figure RE-489054DEST_PATH_IMAGE018
;

Figure RE-507825DEST_PATH_IMAGE019
（7）
Figure RE-507825DEST_PATH_IMAGE019
(7)

计算基于单轴试验的采场底板岩体损伤度如式（8）所示，

Figure RE-641391DEST_PATH_IMAGE020
为采场底板不同岩层的平均厚度，
Figure RE-138232DEST_PATH_IMAGE021
为底板不同岩层基于单轴试验的损伤度；Calculation of damage degree of stope floor rock mass based on uniaxial test is shown in formula (8),
Figure RE-641391DEST_PATH_IMAGE020
is the average thickness of different strata in the stope floor,
Figure RE-138232DEST_PATH_IMAGE021
is the damage degree of different rock formations of the floor based on the uniaxial test;

Figure RE-54235DEST_PATH_IMAGE022
（8）
Figure RE-54235DEST_PATH_IMAGE022
(8)

从式（8）可以看出，基于单轴试验的底板岩体采动损伤度公式

Figure RE-243908DEST_PATH_IMAGE023
与弹性模量
Figure RE-878151DEST_PATH_IMAGE024
、极限峰值下的应变数值
Figure RE-913104DEST_PATH_IMAGE025
，极限峰值下的应力数值
Figure RE-932881DEST_PATH_IMAGE026
和采场底板不同岩层的平均厚度
Figure RE-293455DEST_PATH_IMAGE027
有关；It can be seen from formula (8) that the mining damage degree formula of floor rock mass based on uniaxial test
Figure RE-243908DEST_PATH_IMAGE023
and modulus of elasticity
Figure RE-878151DEST_PATH_IMAGE024
, the strain value under the limit peak value
Figure RE-913104DEST_PATH_IMAGE025
, the stress value at the limiting peak value
Figure RE-932881DEST_PATH_IMAGE026
Average thickness of strata different from stope floor
Figure RE-293455DEST_PATH_IMAGE027
related;

基于残余强度的底板岩体采动损伤度计算 Calculation of Mining Damage Degree of Floor Rock Mass Based on Residual Strength

基于残余强度修正的岩石损伤变量的修正公式Correction formula of rock damage variable based on residual strength correction

Figure RE-414995DEST_PATH_IMAGE028
（9）
Figure RE-414995DEST_PATH_IMAGE028
(9)

式（9）中，

Figure RE-253638DEST_PATH_IMAGE029
为损伤变量修正系数，主要反映岩石的残余强度特征；
Figure RE-878654DEST_PATH_IMAGE030
为弹性模量，
Figure RE-410130DEST_PATH_IMAGE031
为极限峰值下的应变数值，
Figure RE-753387DEST_PATH_IMAGE032
为极限峰值下的应力数值，
Figure RE-910567DEST_PATH_IMAGE033
为泊松比，
Figure RE-655669DEST_PATH_IMAGE034
为水平围压；In formula (9),
Figure RE-253638DEST_PATH_IMAGE029
is the damage variable correction coefficient, which mainly reflects the residual strength characteristics of the rock;
Figure RE-878654DEST_PATH_IMAGE030
is the modulus of elasticity,
Figure RE-410130DEST_PATH_IMAGE031
is the strain value under the limiting peak value,
Figure RE-753387DEST_PATH_IMAGE032
is the stress value under the limiting peak value,
Figure RE-910567DEST_PATH_IMAGE033
is Poisson's ratio,
Figure RE-655669DEST_PATH_IMAGE034
is the horizontal confining pressure;

将式（9）带入式（1），得底板岩体采动损伤度的基本公式：Substituting formula (9) into formula (1), the basic formula of floor rock mining damage degree is obtained:

Figure RE-358046DEST_PATH_IMAGE035
（10）
Figure RE-358046DEST_PATH_IMAGE035
(10)

若采用岩石单轴压缩试验，则

Figure RE-188599DEST_PATH_IMAGE036
，单轴试验和三轴试验在到达峰值点钱具有相似的应力应变曲线，因此得到基于残余强度的底板岩体采动损伤度简化公式：If the rock uniaxial compression test is used, then
Figure RE-188599DEST_PATH_IMAGE036
, the uniaxial test and the triaxial test have similar stress-strain curves at the peak point, so the simplified formula for the mining damage degree of the floor rock mass based on the residual strength is obtained:

Figure RE-369045DEST_PATH_IMAGE037
（11）
Figure RE-369045DEST_PATH_IMAGE037
(11)

计算基于残余强度的采场底板岩体损伤度如式（11）所示，

Figure RE-968653DEST_PATH_IMAGE038
为底板不同岩层的平均厚度，
Figure RE-841931DEST_PATH_IMAGE039
为底板不同岩层基于残余强度的损伤度；Calculation of damage degree of stope floor rock mass based on residual strength is shown in formula (11),
Figure RE-968653DEST_PATH_IMAGE038
is the average thickness of different rock formations on the floor,
Figure RE-841931DEST_PATH_IMAGE039
is the damage degree based on the residual strength of different rock formations of the floor;

Figure RE-409048DEST_PATH_IMAGE040
（12）
Figure RE-409048DEST_PATH_IMAGE040
(12)

从式（12）可以看出，基于单轴试验的底板岩体采动损伤度公式

Figure RE-393184DEST_PATH_IMAGE041
与损伤变量修正系数
Figure RE-112879DEST_PATH_IMAGE042
、弹性模量
Figure RE-157058DEST_PATH_IMAGE043
、极限峰值下的应变数值
Figure RE-962203DEST_PATH_IMAGE044
，极限峰值下的应力数值
Figure RE-484451DEST_PATH_IMAGE045
和采场底板不同岩层的平均厚度
Figure RE-58652DEST_PATH_IMAGE046
有关；From formula (12), it can be seen that the mining damage degree formula of floor rock mass based on uniaxial test
Figure RE-393184DEST_PATH_IMAGE041
and damage variable correction factor
Figure RE-112879DEST_PATH_IMAGE042
,Elastic Modulus
Figure RE-157058DEST_PATH_IMAGE043
, the strain value under the limit peak value
Figure RE-962203DEST_PATH_IMAGE044
, the stress value at the limiting peak value
Figure RE-484451DEST_PATH_IMAGE045
Average thickness of strata different from stope floor
Figure RE-58652DEST_PATH_IMAGE046
related;

基于封堵测漏的底板岩体采动损伤度计算Calculation of Mining Damage Degree of Floor Rock Mass Based on Plugging and Leakage Measurement

底板岩体采动损伤度可以采用岩体钻孔双端封堵测漏系统根据钻孔注水量的多少获得，如式（13）所示；The mining damage degree of floor rock mass can be obtained according to the amount of water injection in the borehole by using the double-end plugging leak detection system of the rock mass drilling, as shown in formula (13);

Figure RE-525930DEST_PATH_IMAGE047
（13）
Figure RE-525930DEST_PATH_IMAGE047
(13)

式（15）中，

Figure RE-552792DEST_PATH_IMAGE048
为钻孔漏水段总长度，
Figure RE-144310DEST_PATH_IMAGE049
为钻孔总长度；如果没有实测数据，底板岩体采动损伤度
Figure RE-573017DEST_PATH_IMAGE050
可以根据地质构造复杂程度进行估算；如果矿井地质构造复杂程度为简单，
Figure RE-958999DEST_PATH_IMAGE051
；如果矿井地质构造复杂程度为中等，
Figure RE-738736DEST_PATH_IMAGE052
；如果矿井地质构造复杂程度为复杂，
Figure RE-868366DEST_PATH_IMAGE053
；如果矿井地质构造复杂程度为极复杂，
Figure RE-135269DEST_PATH_IMAGE054
；In formula (15),
Figure RE-552792DEST_PATH_IMAGE048
is the total length of the leakage section of the borehole,
Figure RE-144310DEST_PATH_IMAGE049
is the total length of the drilled hole; if there is no measured data, the mining damage degree of the floor rock mass
Figure RE-573017DEST_PATH_IMAGE050
It can be estimated according to the complexity of geological structure; if the complexity of mine geological structure is simple,
Figure RE-958999DEST_PATH_IMAGE051
; if the complexity of mine geological structure is medium,
Figure RE-738736DEST_PATH_IMAGE052
; If the complexity of mine geological structure is complex,
Figure RE-868366DEST_PATH_IMAGE053
; If the complexity of mine geological structure is extremely complex,
Figure RE-135269DEST_PATH_IMAGE054
;

利用加权平均法计算基于封堵测漏的采场底板岩体损伤度如式（14）所示，

Figure RE-957731DEST_PATH_IMAGE055
为底板不同岩层的平均厚度，
Figure RE-959185DEST_PATH_IMAGE056
为底板不同岩层基于封堵测漏的损伤度；The weighted average method is used to calculate the damage degree of stope floor rock mass based on plugging leak detection, as shown in formula (14),
Figure RE-957731DEST_PATH_IMAGE055
is the average thickness of different rock formations on the floor,
Figure RE-959185DEST_PATH_IMAGE056
is the damage degree of different rock formations of the floor based on plugging and leak detection;

Figure RE-626927DEST_PATH_IMAGE057
（14）
Figure RE-626927DEST_PATH_IMAGE057
(14)

基于加权平均的底板岩体采动损伤度计算Calculation of Mining Damage Degree of Floor Rock Mass Based on Weighted Average

Figure RE-764647DEST_PATH_IMAGE058
（15）。
Figure RE-764647DEST_PATH_IMAGE058
(15).

更进一步地，所述基于断裂力学、矿压控制和塑性力学的底板采动导水损伤破坏深度计算包括：Furthermore, the calculation of the damage depth of floor mining water conduction damage based on fracture mechanics, mine pressure control and plastic mechanics includes:

基于断裂力学的底板采动导水损伤破坏带深度计算Depth Calculation of Depth of Floor Mining Water Conduction Damage Zone Based on Fracture Mechanics

根据断裂力学公式，基于构建底板采动导水损伤度修正，底板采动导水损伤破坏带深度公式如下式所示；According to the formula of fracture mechanics, based on the construction of the damage degree correction of the mining water conduction of the floor, the formula for the depth of the damage zone of the floor mining water conduction damage is shown in the following formula:

Figure 568693DEST_PATH_IMAGE058
（16）
Figure 568693DEST_PATH_IMAGE058
(16)

公式（16）适用于开采深度不超过500m的情况，

Figure 392292DEST_PATH_IMAGE059
为底板岩体平均容重，
Figure 249390DEST_PATH_IMAGE060
为开采深度，
Figure 350201DEST_PATH_IMAGE061
为壁式工作面长度，
Figure 532920DEST_PATH_IMAGE062
为底板岩体抗压强度，一般取岩石抗压轻度0.15倍；
Figure 578237DEST_PATH_IMAGE063
为底板岩体采动损伤度；Formula (16) is applicable when the mining depth does not exceed 500m,
Figure 392292DEST_PATH_IMAGE059
is the average bulk density of floor rock mass,
Figure 249390DEST_PATH_IMAGE060
is the mining depth,
Figure 350201DEST_PATH_IMAGE061
is the length of the wall face,
Figure 532920DEST_PATH_IMAGE062
It is the compressive strength of the floor rock mass, which is generally taken as 0.15 times the compressive strength of the rock;
Figure 578237DEST_PATH_IMAGE063
is the mining damage degree of floor rock mass;

基于矿压控制的底板采动导水损伤破坏带深度计算Depth Calculation of Floor Mining Water Conduction Damage Zone Depth Based on Mineral Pressure Control

假定采场底板岩体受到均匀损伤，损伤变量为

Figure 239025DEST_PATH_IMAGE064
, 根据损伤力学的假设,则垂直应力
Figure 443611DEST_PATH_IMAGE065
和水平应力
Figure 531652DEST_PATH_IMAGE066
如式（17）所示；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, the vertical stress
Figure 443611DEST_PATH_IMAGE065
and horizontal stress
Figure 531652DEST_PATH_IMAGE066
As shown in formula (17);

Figure 329844DEST_PATH_IMAGE067
（17）
Figure 329844DEST_PATH_IMAGE067
(17)

根据矿压控制理论，采场底板岩体最大主应力

Figure 669690DEST_PATH_IMAGE068
在不同位置深度
Figure 604148DEST_PATH_IMAGE069
衰减的规律如式（18）所示，其中
Figure 863091DEST_PATH_IMAGE070
为矿山压力最大集中系数；According to the mine pressure control theory, the maximum principal stress of stope floor rock mass
Figure 669690DEST_PATH_IMAGE068
at different depths
Figure 604148DEST_PATH_IMAGE069
The law of attenuation is shown in formula (18), where
Figure 863091DEST_PATH_IMAGE070
is the maximum concentration coefficient of mine pressure;

Figure 273212DEST_PATH_IMAGE071
（18）
Figure 273212DEST_PATH_IMAGE071
(18)

将式（18）带入式（17）得到基于矿压控制的底板采动导水损伤破坏带深度公式；Put formula (18) into formula (17) to obtain the depth formula of floor mining water conduction damage damage zone based on mine pressure control;

Figure 275803DEST_PATH_IMAGE072
（19）
Figure 275803DEST_PATH_IMAGE072
(19)

基于塑性力学的底板采动导水损伤破坏带深度计算Depth Calculation of Depth of Floor Mining Water Conduction Damage Zone Based on Plastic Mechanics

根据塑性力学理论公式，

Figure 64768DEST_PATH_IMAGE073
可按式（20）所示，其中
Figure 760191DEST_PATH_IMAGE074
为底板岩体的内摩擦角；According to the theoretical formula of plastic mechanics,
Figure 64768DEST_PATH_IMAGE073
can be shown in formula (20), where
Figure 760191DEST_PATH_IMAGE074
is the internal friction angle of the floor rock mass;

Figure 142762DEST_PATH_IMAGE075
（20）
Figure 142762DEST_PATH_IMAGE075
(20)

基于加权平均的底板采动导水损伤破坏带深度公式Depth formula of floor mining water conduction damage damage zone based on weighted average

Figure 683465DEST_PATH_IMAGE076
（21）。
Figure 683465DEST_PATH_IMAGE076
(twenty one).

本发明的优点：Advantages of the present invention:

本发明基于单轴试验、残余强度和封堵测漏量化底板岩体采动损伤度，基于断裂力学、矿压控制和塑性力学计算底板采动导水损伤破坏深度。本发明的方法不但融合室内单轴试验、采空残余强度和封堵测漏，也融合了断裂力学、矿压控制和塑性力学，其参数简洁明了易于获得，其结果准确使用易于应用。The invention quantifies the mining damage degree of the floor rock mass based on the uniaxial test, residual strength and plugging leakage measurement, and calculates the damage depth of the floor mining water guiding damage based on fracture mechanics, mine pressure control and plastic mechanics. The method of the invention not only integrates indoor uniaxial test, goaf residual strength and plugging leak detection, but also integrates fracture mechanics, mine pressure control and plastic mechanics. The parameters are concise and easy to obtain, and the results are accurate and easy to apply.

除了上面所描述的目的、特征和优点之外，本发明还有其它的目的、特征和优点。下面将参照图，对本发明作进一步详细的说明。In addition to the objects, features and advantages described above, the present invention has other objects, features and advantages. Hereinafter, the present invention will be described in further detail with reference to the drawings.

附图说明Description of drawings

构成本申请的一部分的附图用来提供对本发明的进一步理解，本发明的示意性实施例及其说明用于解释本发明，并不构成对本发明的不当限定。The accompanying drawings constituting a part of this application are used to provide further understanding of the present invention, and the schematic embodiments and descriptions of the present invention are used to explain the present invention, and do not constitute an improper limitation of the present invention.

图1是岩体钻孔双端封堵测漏系统图；Fig. 1 is a diagram of a leak detection system for double-end plugging of rock mass drilling;

图2是本发明的方法流程图。Fig. 2 is a flow chart of the method of the present invention.

具体实施方式detailed description

为了使本发明的目的、技术方案及优点更加清楚明白，以下结合附图及实施例，对本发明进行进一步详细说明。应当理解，此处所描述的具体实施例仅仅用以解释本发明，并不用于限定本发明。In order to make the object, technical solution and advantages of the present invention clearer, the present invention will be further described in detail below in conjunction with the accompanying drawings and embodiments. It should be understood that the specific embodiments described here are only used to explain the present invention, not to limit the present invention.

基于单轴试验、残余强度和封堵测漏的底板岩体采动损伤度公式Mining damage formula of floor rock mass based on uniaxial test, residual strength and leak detection

（1）基于单轴试验的底板岩体采动损伤度公式(1) Mining damage formula of floor rock mass based on uniaxial test

岩石损伤变量的基本公式Basic formulas for rock damage variables

Figure 592515DEST_PATH_IMAGE077
（1）
Figure 592515DEST_PATH_IMAGE077
(1)

式（1）中，

Figure 586403DEST_PATH_IMAGE078
为岩石微元破坏强度，
Figure 580904DEST_PATH_IMAGE079
均为模型相关参数。In formula (1),
Figure 586403DEST_PATH_IMAGE078
is the micro-element failure strength of the rock,
Figure 580904DEST_PATH_IMAGE079
are model-related parameters.

Figure 925298DEST_PATH_IMAGE080
（2）
Figure 925298DEST_PATH_IMAGE080
(2)

Figure 829800DEST_PATH_IMAGE081
（3）
Figure 829800DEST_PATH_IMAGE081
(3)

式（2）和式（3）中，

Figure 867026DEST_PATH_IMAGE082
为弹性模量，
Figure 83244DEST_PATH_IMAGE083
为极限峰值下的应变数值，
Figure 231328DEST_PATH_IMAGE084
为极限峰值下的应力数值，
Figure 974025DEST_PATH_IMAGE085
为泊松比。
Figure 182153DEST_PATH_IMAGE033
为水平围压，根据三轴实验，
Figure 885667DEST_PATH_IMAGE086
，相应的围岩应变有
Figure 712808DEST_PATH_IMAGE087
。In formula (2) and formula (3),
Figure 867026DEST_PATH_IMAGE082
is the modulus of elasticity,
Figure 83244DEST_PATH_IMAGE083
is the strain value under the limiting peak value,
Figure 231328DEST_PATH_IMAGE084
is the stress value under the limiting peak value,
Figure 974025DEST_PATH_IMAGE085
is Poisson's ratio.
Figure 182153DEST_PATH_IMAGE033
is the horizontal confining pressure, according to the triaxial experiment,
Figure 885667DEST_PATH_IMAGE086
, and the corresponding surrounding rock strain is
Figure 712808DEST_PATH_IMAGE087
.

Figure 450957DEST_PATH_IMAGE088
（4）
Figure 450957DEST_PATH_IMAGE088
(4)

将式（3）带入式（4），得：Put formula (3) into formula (4), get:

Figure 829986DEST_PATH_IMAGE089
（5）
Figure 829986DEST_PATH_IMAGE089
(5)

式（5）带入式（1），得构建底板岩体采动损伤度的基本公式：Substituting Equation (5) into Equation (1), the basic formula for constructing the mining damage degree of floor rock mass is obtained:

Figure 411009DEST_PATH_IMAGE090
（7）
Figure 411009DEST_PATH_IMAGE090
(7)

若采用岩石单轴压缩试验，则

Figure 900896DEST_PATH_IMAGE091
，单轴试验和三轴试验在到达峰值点钱具有相似的应力应变曲线，因此得到基于单轴试验的底板岩体采动损伤度简化公式，根据岩层的应力应变曲线来确定
Figure 227972DEST_PATH_IMAGE092
和
Figure 777902DEST_PATH_IMAGE093
。If the rock uniaxial compression test is used, then
Figure 900896DEST_PATH_IMAGE091
, the uniaxial test and the triaxial test have similar stress-strain curves at the peak point, so the simplified formula for the mining damage degree of the floor rock mass based on the uniaxial test is obtained, which is determined according to the stress-strain curve of the rock formation
Figure 227972DEST_PATH_IMAGE092
with
Figure 777902DEST_PATH_IMAGE093
.

Figure 596954DEST_PATH_IMAGE094
（8）
Figure 596954DEST_PATH_IMAGE094
(8)

计算基于单轴试验的采场底板岩体损伤度如式（8）所示，

Figure 890532DEST_PATH_IMAGE095
为采场底板不同岩层的平均厚度，
Figure 337694DEST_PATH_IMAGE021
为底板不同岩层基于单轴试验的损伤度。Calculation of damage degree of stope floor rock mass based on uniaxial test is shown in formula (8),
Figure 890532DEST_PATH_IMAGE095
is the average thickness of different strata in the stope floor,
Figure 337694DEST_PATH_IMAGE021
is the damage degree of different rock layers of the floor based on the uniaxial test.

Figure 183159DEST_PATH_IMAGE096
（8）
Figure 183159DEST_PATH_IMAGE096
(8)

从式（8）可以看出，基于单轴试验的底板岩体采动损伤度公式

Figure 348561DEST_PATH_IMAGE097
与弹性模量
Figure 180251DEST_PATH_IMAGE098
、极限峰值下的应变数值
Figure 622864DEST_PATH_IMAGE043
，极限峰值下的应力数值
Figure 514597DEST_PATH_IMAGE099
和采场底板不同岩层的平均厚度
Figure 167295DEST_PATH_IMAGE100
有关。It can be seen from formula (8) that the mining damage degree formula of floor rock mass based on uniaxial test
Figure 348561DEST_PATH_IMAGE097
and modulus of elasticity
Figure 180251DEST_PATH_IMAGE098
, the strain value under the limit peak value
Figure 622864DEST_PATH_IMAGE043
, the stress value at the limiting peak value
Figure 514597DEST_PATH_IMAGE099
Average thickness of strata different from stope floor
Figure 167295DEST_PATH_IMAGE100
related.

（2）基于残余强度的底板岩体采动损伤度公式(2) Mining damage formula of floor rock mass based on residual strength

基于残余强度修正的岩石损伤变量的修正公式Correction formula of rock damage variable based on residual strength correction

Figure 754458DEST_PATH_IMAGE101
（9）
Figure 754458DEST_PATH_IMAGE101
(9)

式（9）中，

Figure 176212DEST_PATH_IMAGE029
为损伤变量修正系数，主要反映岩石的残余强度特征。
Figure 238846DEST_PATH_IMAGE102
为弹性模量，
Figure 988627DEST_PATH_IMAGE103
为极限峰值下的应变数值，
Figure 427699DEST_PATH_IMAGE104
为极限峰值下的应力数值，
Figure 969539DEST_PATH_IMAGE105
为泊松比，
Figure 327708DEST_PATH_IMAGE106
为水平围压。In formula (9),
Figure 176212DEST_PATH_IMAGE029
is the damage variable correction coefficient, which mainly reflects the residual strength characteristics of the rock.
Figure 238846DEST_PATH_IMAGE102
is the modulus of elasticity,
Figure 988627DEST_PATH_IMAGE103
is the strain value under the limiting peak value,
Figure 427699DEST_PATH_IMAGE104
is the stress value under the limiting peak value,
Figure 969539DEST_PATH_IMAGE105
is Poisson's ratio,
Figure 327708DEST_PATH_IMAGE106
is the horizontal confining pressure.

将式（9）带入式（1），得底板岩体采动损伤度的基本公式：Substituting formula (9) into formula (1), the basic formula of floor rock mining damage degree is obtained:

Figure 689419DEST_PATH_IMAGE107
（10）
Figure 689419DEST_PATH_IMAGE107
(10)

若采用岩石单轴压缩试验，则

Figure 666602DEST_PATH_IMAGE108
，单轴试验和三轴试验在到达峰值点钱具有相似的应力应变曲线，因此得到基于残余强度的底板岩体采动损伤度简化公式。If the rock uniaxial compression test is used, then
Figure 666602DEST_PATH_IMAGE108
, the uniaxial test and the triaxial test have similar stress-strain curves at the peak point, so the simplified formula of the mining damage degree of the floor rock mass based on the residual strength is obtained.

Figure 938315DEST_PATH_IMAGE109
（11）
Figure 938315DEST_PATH_IMAGE109
(11)

计算基于残余强度的采场底板岩体损伤度如式（11）所示，

Figure 342751DEST_PATH_IMAGE037
为底板不同岩层的平均厚度，
Figure 191759DEST_PATH_IMAGE110
为底板不同岩层基于残余强度的损伤度。Calculation of damage degree of stope floor rock mass based on residual strength is shown in formula (11),
Figure 342751DEST_PATH_IMAGE037
is the average thickness of different rock formations on the floor,
Figure 191759DEST_PATH_IMAGE110
is the damage degree based on the residual strength of different strata of the floor.

Figure 707054DEST_PATH_IMAGE111
（12）
Figure 707054DEST_PATH_IMAGE111
(12)

从式（12）可以看出，基于单轴试验的底板岩体采动损伤度公式

Figure 348119DEST_PATH_IMAGE112
与损伤变量修正系数
Figure 923457DEST_PATH_IMAGE113
、弹性模量
Figure 259761DEST_PATH_IMAGE114
、极限峰值下的应变数值
Figure 719692DEST_PATH_IMAGE025
，极限峰值下的应力数值
Figure 825051DEST_PATH_IMAGE115
和采场底板不同岩层的平均厚度
Figure 571290DEST_PATH_IMAGE037
有关。From formula (12), it can be seen that the mining damage degree formula of floor rock mass based on uniaxial test
Figure 348119DEST_PATH_IMAGE112
and damage variable correction factor
Figure 923457DEST_PATH_IMAGE113
,Elastic Modulus
Figure 259761DEST_PATH_IMAGE114
, the strain value under the limit peak value
Figure 719692DEST_PATH_IMAGE025
, the stress value at the limiting peak value
Figure 825051DEST_PATH_IMAGE115
Average thickness of strata different from stope floor
Figure 571290DEST_PATH_IMAGE037
related.

（3）基于封堵测漏的底板岩体采动损伤度公式(3) Mining damage degree formula of floor rock mass based on plugging and leak detection

底板岩体采动损伤度可以采用岩体钻孔双端封堵测漏系统根据钻孔注水量的多少获得，如式（13）所示。The mining damage degree of floor rockmass can be obtained according to the amount of water injection in the borehole by using the double-end plugging leak detection system of rockmass drilling, as shown in formula (13).

Figure 253944DEST_PATH_IMAGE116
（13）
Figure 253944DEST_PATH_IMAGE116
(13)

式（13）中，

Figure 642200DEST_PATH_IMAGE117
为钻孔漏水段总长度，
Figure 602066DEST_PATH_IMAGE118
为钻孔总长度。如果没有实测数据，底板岩体采动损伤度
Figure 394573DEST_PATH_IMAGE119
可以根据地质构造复杂程度进行估算。如果矿井地质构造复杂程度为简单，
Figure 705468DEST_PATH_IMAGE120
；如果矿井地质构造复杂程度为中等，
Figure 366257DEST_PATH_IMAGE121
；如果矿井地质构造复杂程度为复杂，
Figure 573772DEST_PATH_IMAGE122
；如果矿井地质构造复杂程度为极复杂，
Figure 927393DEST_PATH_IMAGE123
。In formula (13),
Figure 642200DEST_PATH_IMAGE117
is the total length of the leakage section of the borehole,
Figure 602066DEST_PATH_IMAGE118
is the total length of the borehole. If there is no measured data, the mining damage degree of floor rock mass
Figure 394573DEST_PATH_IMAGE119
It can be estimated according to the complexity of the geological structure. If the complexity of mine geological structure is simple,
Figure 705468DEST_PATH_IMAGE120
; if the complexity of mine geological structure is medium,
Figure 366257DEST_PATH_IMAGE121
; If the complexity of mine geological structure is complex,
Figure 573772DEST_PATH_IMAGE122
; If the complexity of mine geological structure is extremely complex,
Figure 927393DEST_PATH_IMAGE123
.

利用加权平均法计算基于封堵测漏的采场底板岩体损伤度如式（14）所示，

Figure 460005DEST_PATH_IMAGE124
为底板不同岩层的平均厚度，
Figure 65430DEST_PATH_IMAGE125
为底板不同岩层基于封堵测漏的损伤度。The weighted average method is used to calculate the damage degree of stope floor rock mass based on plugging leak detection, as shown in formula (14),
Figure 460005DEST_PATH_IMAGE124
is the average thickness of different rock formations on the floor,
Figure 65430DEST_PATH_IMAGE125
is the damage degree of different rock formations of the floor based on plugging and leak detection.

Figure 734309DEST_PATH_IMAGE126
（14）
Figure 734309DEST_PATH_IMAGE126
(14)

（4）基于加权平均的底板岩体采动损伤度公式(4) The formula of floor rock mining damage degree based on weighted average

Figure 258831DEST_PATH_IMAGE127
（15）
Figure 258831DEST_PATH_IMAGE127
(15)

基于断裂力学、矿压控制和塑性力学的底板采动导水损伤破坏深度公式The damage depth formula of floor mining water conduction damage based on fracture mechanics, mine pressure control and plastic mechanics

（1）基于断裂力学的底板采动导水损伤破坏带深度公式(1) Depth formula of floor mining water conduction damage damage zone based on fracture mechanics

根据断裂力学公式，基于构建底板采动导水损伤度修正，底板采动导水损伤破坏带深度公式如下式所示。According to the formula of fracture mechanics, based on the construction of the damage degree correction of the floor mining water conduction, the formula for the depth of the floor mining water conduction damage damage zone is shown in the following formula.

Figure 278740DEST_PATH_IMAGE128
（16）
Figure 278740DEST_PATH_IMAGE128
(16)

公式（16）适用于开采深度不超过500m的情况，

Figure 405965DEST_PATH_IMAGE129
为底板岩体平均容重，
Figure 460508DEST_PATH_IMAGE130
为开采深度，
Figure 155932DEST_PATH_IMAGE131
为壁式工作面长度，
Figure 272924DEST_PATH_IMAGE132
为底板岩体抗压强度，一般取岩石抗压轻度0.15倍；
Figure 79206DEST_PATH_IMAGE133
为底板岩体采动损伤度。Formula (16) is applicable when the mining depth does not exceed 500m,
Figure 405965DEST_PATH_IMAGE129
is the average bulk density of floor rock mass,
Figure 460508DEST_PATH_IMAGE130
is the mining depth,
Figure 155932DEST_PATH_IMAGE131
is the length of the wall face,
Figure 272924DEST_PATH_IMAGE132
It is the compressive strength of the floor rock mass, which is generally taken as 0.15 times the compressive strength of the rock;
Figure 79206DEST_PATH_IMAGE133
is the mining damage degree of floor rock mass.

（2）基于矿压控制的底板采动导水损伤破坏带深度公式(2) Depth formula of floor mining water conduction damage damage zone based on mine pressure control

假定采场底板岩体受到均匀损伤，损伤变量为

Figure 253835DEST_PATH_IMAGE134
, 根据损伤力学的假设,则垂直应力
Figure 979214DEST_PATH_IMAGE135
和水平应力
Figure 973715DEST_PATH_IMAGE136
如式（17）所示。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, the vertical stress
Figure 979214DEST_PATH_IMAGE135
and horizontal stress
Figure 973715DEST_PATH_IMAGE136
As shown in formula (17).

Figure 318109DEST_PATH_IMAGE137
（17）
Figure 318109DEST_PATH_IMAGE137
(17)

根据矿压控制理论，采场底板岩体最大主应力

Figure 81665DEST_PATH_IMAGE138
在不同位置深度
Figure 728679DEST_PATH_IMAGE139
衰减的规律如式（18）所示，其中
Figure 476055DEST_PATH_IMAGE140
为矿山压力最大集中系数。According to the mine pressure control theory, the maximum principal stress of stope floor rock mass
Figure 81665DEST_PATH_IMAGE138
at different depths
Figure 728679DEST_PATH_IMAGE139
The law of attenuation is shown in formula (18), where
Figure 476055DEST_PATH_IMAGE140
is the maximum concentration factor of mine pressure.

Figure 624139DEST_PATH_IMAGE141
（18）
Figure 624139DEST_PATH_IMAGE141
(18)

将式（18）带入式（17）得到基于矿压控制的底板采动导水损伤破坏带深度公式。Substituting Equation (18) into Equation (17) to obtain the depth formula of floor mining water conduction damage damage zone based on mine pressure control.

Figure 366836DEST_PATH_IMAGE142
（19）
Figure 366836DEST_PATH_IMAGE142
(19)

（3）基于塑性力学的底板采动导水损伤破坏带深度公式(3) Depth formula of floor mining water conduction damage damage zone based on plastic mechanics

根据塑性力学理论公式，

Figure 574964DEST_PATH_IMAGE143
可按式（20）所示，其中
Figure 278477DEST_PATH_IMAGE144
为底板岩体的内摩擦角。According to the theoretical formula of plastic mechanics,
Figure 574964DEST_PATH_IMAGE143
can be shown in formula (20), where
Figure 278477DEST_PATH_IMAGE144
is the internal friction angle of the floor rock mass.

Figure 964674DEST_PATH_IMAGE145
（22）
Figure 964674DEST_PATH_IMAGE145
(twenty two)

（4）基于加权平均的底板采动导水损伤破坏带深度公式(4) Depth formula of floor mining water conduction damage damage zone based on weighted average

Figure 578189DEST_PATH_IMAGE146
（21）
Figure 578189DEST_PATH_IMAGE146
(twenty one)

1. 计算底板采动导水损伤破坏带深度1. Calculation of the depth of the water-conducting damage zone of the bottom plate

（1）山东良庄煤矿51302采煤工作面底板岩体原始资料(1) Raw data of the floor rock mass of the 51302 coal mining face in Shandong Liangzhuang Coal Mine

山东良庄煤矿51302采煤工作面底板的岩性主要粉砂岩、砂岩和灰岩，其中徐灰是重要的含水层，动水补给条件良好。但煤层底部到徐灰之间可以看做是一个隔水层，不考虑动水的影响。在51302工作面位于-580水平五采区东翼，为五采区13煤层的首采工作面。该面走向长为690m，倾斜宽为165m，采深为640m。13煤层距徐灰40m左右，距奥灰78m左右，矿山压力应力集中系数为2.8，上覆岩层平均密度28KN/m3，底板底板岩体的内摩擦角为

Figure 957218DEST_PATH_IMAGE147
，底板岩体最大主应力为13.1Mpa。51302工作面各底板岩层力学参数如表1所示，
Figure 148027DEST_PATH_IMAGE148
为水平应力，
Figure 765478DEST_PATH_IMAGE149
为极限峰值下的应变数值，极限峰值下的应力数值
Figure 358133DEST_PATH_IMAGE150
为极限峰值下的应力数值。The lithology of the floor of the 51302 coal mining face in Shandong Liangzhuang Coal Mine is mainly siltstone, sandstone and limestone, among which Xu ash is an important aquifer with good dynamic water supply conditions. However, the area between the bottom of the coal seam and Xuhui can be regarded as a water-resisting layer, without considering the influence of moving water. The 51302 working face is located in the east wing of the fifth mining area at the -580 level, and is the first mining face of the 13th coal seam in the fifth mining area. The strike length of this face is 690m, the inclination width is 165m, and the mining depth is 640m. Coal seam 13 is about 40m away from Xuhui, about 78m away from Austrian ash, the mine pressure stress concentration factor is 2.8, the average density of the overlying strata is 28KN/m 3 , and the internal friction angle of the floor rock mass is
Figure 957218DEST_PATH_IMAGE147
, the maximum principal stress of the floor rock mass is 13.1Mpa. The mechanical parameters of each floor rock formation in the 51302 working face are shown in Table 1.
Figure 148027DEST_PATH_IMAGE148
is the horizontal stress,
Figure 765478DEST_PATH_IMAGE149
is the strain value under the limit peak value, and the stress value under the limit peak value
Figure 358133DEST_PATH_IMAGE150
is the stress value under the limiting peak value.

Figure 908064DEST_PATH_IMAGE151
Figure 908064DEST_PATH_IMAGE151

（2）计算基于单轴试验、残余强度和封堵测漏的底板岩体采动损伤度，基于加权平均的底板岩体采动损伤度D=0.49。(2) Calculate the mining damage degree of the floor rock mass based on the uniaxial test, residual strength and plugging leak detection, and the mining damage degree of the floor rock mass based on the weighted average is D=0.49.

Figure 727115DEST_PATH_IMAGE152
Figure 727115DEST_PATH_IMAGE152

（3）计算基于断裂力学、矿压控制和塑性力学的底板采动导水损伤破坏深度(3) Calculation of damage depth based on fracture mechanics, mine pressure control and plastic mechanics

Figure 755114DEST_PATH_IMAGE153
Figure 202276DEST_PATH_IMAGE154
Figure 755114DEST_PATH_IMAGE153
Figure 202276DEST_PATH_IMAGE154

Figure 923107DEST_PATH_IMAGE155
Figure 213143DEST_PATH_IMAGE156
Figure 923107DEST_PATH_IMAGE155
Figure 213143DEST_PATH_IMAGE156

Figure 44833DEST_PATH_IMAGE157
Figure 44833DEST_PATH_IMAGE157

Figure 346501DEST_PATH_IMAGE158
Figure 346501DEST_PATH_IMAGE158

从计算结果可以看出，基于断裂力学、矿压控制和塑性力学的底板采动导水损伤破坏深度离散型较大，最大值与最小值的比值为4.19，三个计算结果与最终结果的比值为0.84、1.74、0.42，这说明不同公式的计算结果差别较大，往往与工程结果存在出入。最终计算结果为69.27m，这表明本公式统筹各种理论和不同因素在一定程度上解决了这个问题。It can be seen from the calculation results that based on fracture mechanics, mine pressure control and plastic mechanics, the damage depth of floor mining water conduction damage is more discrete, the ratio of the maximum value to the minimum value is 4.19, and the ratio of the three calculation results to the final result are 0.84, 1.74, and 0.42, which shows that the calculation results of different formulas are quite different, and often differ from the engineering results. The final calculation result is 69.27m, which shows that this formula solves this problem to a certain extent by considering various theories and different factors.

以上所述仅为本发明的较佳实施例，并不用以限制本发明，凡在本发明的精神和原则之内，所作的任何修改、等同替换、改进等，均应包含在本发明的保护范围之内。The above descriptions are only preferred embodiments of the present invention, and are not intended to limit the present invention. Any modifications, equivalent replacements, improvements, etc. made within the spirit and principles of the present invention shall be included in the protection of the present invention. within range.

Claims (3)

1.一种底板采动导水损伤破坏深度计算方法，其特征在于，包括：1. A method for calculating the damage depth of floor mining water guide damage, characterized in that it comprises: 基于单轴试验、残余强度和封堵测漏的底板岩体采动损伤度计算；Calculation of floor rock mass mining damage based on uniaxial test, residual strength and plugging leak detection; 基于断裂力学、矿压控制和塑性力学的底板采动导水损伤破坏深度计算。Calculation of damage depth of floor mining water conduction damage based on fracture mechanics, mine pressure control and plastic mechanics. 2.根据权利要求1所述的底板采动导水损伤破坏深度计算方法，2. the method for calculating the depth of damage and destruction of the floor mining water guide according to claim 1, 其特征在于，所述基于单轴试验、残余强度和封堵测漏的底板岩体采动损伤度计算包括：It is characterized in that the calculation of the mining damage degree of the floor rock mass based on the uniaxial test, residual strength and plugging leak detection includes: 基于单轴试验的底板岩体采动损伤度计算Calculation of Mining Damage Degree of Floor Rock Mass Based on Uniaxial Test 岩石损伤变量的基本公式Basic formulas for rock damage variables
Figure RE-591604DEST_PATH_IMAGE001
（1）
Figure RE-591604DEST_PATH_IMAGE001
(1) 式（1）中，
Figure RE-721234DEST_PATH_IMAGE002
为岩石微元破坏强度，
Figure RE-4447DEST_PATH_IMAGE003
均为模型相关参数；In formula (1),
Figure RE-721234DEST_PATH_IMAGE002
is the micro-element failure strength of the rock,
Figure RE-4447DEST_PATH_IMAGE003
are model-related parameters;
Figure RE-561331DEST_PATH_IMAGE004
（2）
Figure RE-561331DEST_PATH_IMAGE004
(2)
Figure RE-562785DEST_PATH_IMAGE005
（3）
Figure RE-562785DEST_PATH_IMAGE005
(3) 式（2）和式（3）中，
Figure RE-479794DEST_PATH_IMAGE006
为弹性模量，
Figure RE-883094DEST_PATH_IMAGE007
为极限峰值下的应变数值，
Figure RE-610878DEST_PATH_IMAGE008
为极限峰值下的应力数值，
Figure RE-834049DEST_PATH_IMAGE009
为泊松比；
Figure RE-305482DEST_PATH_IMAGE010
为水平围压，根据三轴实验，
Figure RE-563288DEST_PATH_IMAGE011
，相应的围岩应变有
Figure RE-727553DEST_PATH_IMAGE012
；In formula (2) and formula (3),
Figure RE-479794DEST_PATH_IMAGE006
is the modulus of elasticity,
Figure RE-883094DEST_PATH_IMAGE007
is the strain value under the limiting peak value,
Figure RE-610878DEST_PATH_IMAGE008
is the stress value under the limiting peak value,
Figure RE-834049DEST_PATH_IMAGE009
is Poisson's ratio;
Figure RE-305482DEST_PATH_IMAGE010
is the horizontal confining pressure, according to the triaxial experiment,
Figure RE-563288DEST_PATH_IMAGE011
, and the corresponding surrounding rock strain is
Figure RE-727553DEST_PATH_IMAGE012
;
Figure RE-687287DEST_PATH_IMAGE013
（4）
Figure RE-687287DEST_PATH_IMAGE013
(4) 将式（3）带入式（4），得：Put formula (3) into formula (4), get:
Figure RE-696832DEST_PATH_IMAGE014
（5）
Figure RE-696832DEST_PATH_IMAGE014
(5) 式（5）带入式（1），得构建底板岩体采动损伤度的基本公式：Substituting Equation (5) into Equation (1), the basic formula for constructing the mining damage degree of floor rock mass is obtained:
Figure RE-74723DEST_PATH_IMAGE015
（9）
Figure RE-74723DEST_PATH_IMAGE015
(9) 若采用岩石单轴压缩试验，则
Figure RE-144311DEST_PATH_IMAGE016
，单轴试验和三轴试验在到达峰值点钱具有相似的应力应变曲线，因此得到基于单轴试验的底板岩体采动损伤度简化公式，根据岩层的应力应变曲线来确定
Figure RE-342074DEST_PATH_IMAGE017
和
Figure RE-155309DEST_PATH_IMAGE018
；If the rock uniaxial compression test is used, then
Figure RE-144311DEST_PATH_IMAGE016
, the uniaxial test and the triaxial test have similar stress-strain curves at the peak point, so the simplified formula for the mining damage degree of the floor rock mass based on the uniaxial test is obtained, which is determined according to the stress-strain curve of the rock formation
Figure RE-342074DEST_PATH_IMAGE017
with
Figure RE-155309DEST_PATH_IMAGE018
;
Figure RE-636975DEST_PATH_IMAGE019
（7）
Figure RE-636975DEST_PATH_IMAGE019
(7) 计算基于单轴试验的采场底板岩体损伤度如式（8）所示，
Figure RE-143042DEST_PATH_IMAGE020
为采场底板不同岩层的平均厚度，
Figure RE-828102DEST_PATH_IMAGE021
为底板不同岩层基于单轴试验的损伤度；Calculation of damage degree of stope floor rock mass based on uniaxial test is shown in formula (8),
Figure RE-143042DEST_PATH_IMAGE020
is the average thickness of different strata in the stope floor,
Figure RE-828102DEST_PATH_IMAGE021
is the damage degree of different rock formations of the floor based on the uniaxial test;
Figure RE-179449DEST_PATH_IMAGE022
（8）
Figure RE-179449DEST_PATH_IMAGE022
(8) 从式（8）可以看出，基于单轴试验的底板岩体采动损伤度公式
Figure RE-266353DEST_PATH_IMAGE023
与弹性模量
Figure RE-943322DEST_PATH_IMAGE024
、极限峰值下的应变数值
Figure RE-115678DEST_PATH_IMAGE025
，极限峰值下的应力数值
Figure RE-269052DEST_PATH_IMAGE026
和采场底板不同岩层的平均厚度
Figure RE-476043DEST_PATH_IMAGE027
有关；It can be seen from formula (8) that the mining damage degree formula of floor rock mass based on uniaxial test
Figure RE-266353DEST_PATH_IMAGE023
and modulus of elasticity
Figure RE-943322DEST_PATH_IMAGE024
, the strain value under the limit peak value
Figure RE-115678DEST_PATH_IMAGE025
, the stress value at the limiting peak value
Figure RE-269052DEST_PATH_IMAGE026
Average thickness of strata different from stope floor
Figure RE-476043DEST_PATH_IMAGE027
related; 基于残余强度的底板岩体采动损伤度计算 Calculation of Mining Damage Degree of Floor Rock Mass Based on Residual Strength 基于残余强度修正的岩石损伤变量的修正公式Correction formula of rock damage variable based on residual strength correction
Figure RE-323913DEST_PATH_IMAGE028
（9）
Figure RE-323913DEST_PATH_IMAGE028
(9) 式（9）中，
Figure RE-983564DEST_PATH_IMAGE029
为损伤变量修正系数，主要反映岩石的残余强度特征；
Figure RE-676714DEST_PATH_IMAGE030
为弹性模量，
Figure RE-472632DEST_PATH_IMAGE031
为极限峰值下的应变数值，
Figure RE-740671DEST_PATH_IMAGE032
为极限峰值下的应力数值，
Figure RE-887618DEST_PATH_IMAGE033
为泊松比，
Figure RE-650038DEST_PATH_IMAGE034
为水平围压；In formula (9),
Figure RE-983564DEST_PATH_IMAGE029
is the damage variable correction coefficient, which mainly reflects the residual strength characteristics of the rock;
Figure RE-676714DEST_PATH_IMAGE030
is the modulus of elasticity,
Figure RE-472632DEST_PATH_IMAGE031
is the strain value under the limiting peak value,
Figure RE-740671DEST_PATH_IMAGE032
is the stress value under the limiting peak value,
Figure RE-887618DEST_PATH_IMAGE033
is Poisson's ratio,
Figure RE-650038DEST_PATH_IMAGE034
is the horizontal confining pressure; 将式（9）带入式（1），得底板岩体采动损伤度的基本公式：Substituting formula (9) into formula (1), the basic formula of floor rock mining damage degree is obtained:
Figure RE-300462DEST_PATH_IMAGE035
（10）
Figure RE-300462DEST_PATH_IMAGE035
(10) 若采用岩石单轴压缩试验，则
Figure RE-224556DEST_PATH_IMAGE036
，单轴试验和三轴试验在到达峰值点钱具有相似的应力应变曲线，因此得到基于残余强度的底板岩体采动损伤度简化公式：If the rock uniaxial compression test is used, then
Figure RE-224556DEST_PATH_IMAGE036
, the uniaxial test and the triaxial test have similar stress-strain curves at the peak point, so the simplified formula for the mining damage degree of the floor rock mass based on the residual strength is obtained:
Figure RE-858800DEST_PATH_IMAGE037
（11）
Figure RE-858800DEST_PATH_IMAGE037
(11) 计算基于残余强度的采场底板岩体损伤度如式（11）所示，
Figure RE-159331DEST_PATH_IMAGE038
为底板不同岩层的平均厚度，
Figure RE-179108DEST_PATH_IMAGE039
为底板不同岩层基于残余强度的损伤度；Calculation of damage degree of stope floor rock mass based on residual strength is shown in formula (11),
Figure RE-159331DEST_PATH_IMAGE038
is the average thickness of different rock formations on the floor,
Figure RE-179108DEST_PATH_IMAGE039
is the damage degree based on the residual strength of different rock formations of the floor;
Figure RE-274103DEST_PATH_IMAGE040
（12）
Figure RE-274103DEST_PATH_IMAGE040
(12) 从式（12）可以看出，基于单轴试验的底板岩体采动损伤度公式
Figure RE-395643DEST_PATH_IMAGE041
与损伤变量修正系数
Figure RE-499865DEST_PATH_IMAGE042
、弹性模量
Figure RE-859302DEST_PATH_IMAGE043
、极限峰值下的应变数值
Figure RE-390778DEST_PATH_IMAGE044
，极限峰值下的应力数值
Figure RE-983302DEST_PATH_IMAGE045
和采场底板不同岩层的平均厚度
Figure RE-891215DEST_PATH_IMAGE046
有关；From formula (12), it can be seen that the mining damage degree formula of floor rock mass based on uniaxial test
Figure RE-395643DEST_PATH_IMAGE041
and damage variable correction factor
Figure RE-499865DEST_PATH_IMAGE042
,Elastic Modulus
Figure RE-859302DEST_PATH_IMAGE043
, the strain value under the limit peak value
Figure RE-390778DEST_PATH_IMAGE044
, the stress value at the limiting peak value
Figure RE-983302DEST_PATH_IMAGE045
Average thickness of strata different from stope floor
Figure RE-891215DEST_PATH_IMAGE046
related; 基于封堵测漏的底板岩体采动损伤度计算Calculation of Mining Damage Degree of Floor Rock Mass Based on Plugging and Leakage Measurement 底板岩体采动损伤度可以采用岩体钻孔双端封堵测漏系统根据钻孔注水量的多少获得，如式（13）所示；The mining damage degree of floor rock mass can be obtained according to the amount of water injection in the borehole by using the double-end plugging leak detection system of the rock mass drilling, as shown in formula (13);
Figure RE-370738DEST_PATH_IMAGE047
（13）
Figure RE-370738DEST_PATH_IMAGE047
(13) 式（13）中，
Figure RE-73115DEST_PATH_IMAGE048
为钻孔漏水段总长度，
Figure RE-903668DEST_PATH_IMAGE049
为钻孔总长度；如果没有实测数据，底板岩体采动损伤度
Figure RE-349693DEST_PATH_IMAGE050
可以根据地质构造复杂程度进行估算；如果矿井地质构造复杂程度为简单，
Figure RE-935919DEST_PATH_IMAGE051
；如果矿井地质构造复杂程度为中等，
Figure RE-809197DEST_PATH_IMAGE052
；如果矿井地质构造复杂程度为复杂，
Figure RE-127046DEST_PATH_IMAGE053
；如果矿井地质构造复杂程度为极复杂，
Figure RE-845603DEST_PATH_IMAGE054
；In formula (13),
Figure RE-73115DEST_PATH_IMAGE048
is the total length of the leakage section of the borehole,
Figure RE-903668DEST_PATH_IMAGE049
is the total length of the drilled hole; if there is no measured data, the mining damage degree of the floor rock mass
Figure RE-349693DEST_PATH_IMAGE050
It can be estimated according to the complexity of geological structure; if the complexity of mine geological structure is simple,
Figure RE-935919DEST_PATH_IMAGE051
; if the complexity of mine geological structure is medium,
Figure RE-809197DEST_PATH_IMAGE052
; If the complexity of mine geological structure is complex,
Figure RE-127046DEST_PATH_IMAGE053
; If the complexity of mine geological structure is extremely complex,
Figure RE-845603DEST_PATH_IMAGE054
; 利用加权平均法计算基于封堵测漏的采场底板岩体损伤度如式（14）所示，
Figure RE-565298DEST_PATH_IMAGE055
为底板不同岩层的平均厚度，
Figure RE-609477DEST_PATH_IMAGE056
为底板不同岩层基于封堵测漏的损伤度；The weighted average method is used to calculate the damage degree of stope floor rock mass based on plugging leak detection, as shown in formula (14),
Figure RE-565298DEST_PATH_IMAGE055
is the average thickness of different rock formations on the floor,
Figure RE-609477DEST_PATH_IMAGE056
is the damage degree of different rock formations of the floor based on plugging and leak detection;
Figure RE-414622DEST_PATH_IMAGE057
（14）
Figure RE-414622DEST_PATH_IMAGE057
(14) 基于加权平均的底板岩体采动损伤度计算Calculation of Mining Damage Degree of Floor Rock Mass Based on Weighted Average
Figure RE-451717DEST_PATH_IMAGE058
（15）。
Figure RE-451717DEST_PATH_IMAGE058
(15). 3.根据权利要求1所述的底板采动导水损伤破坏深度计算方法，3. the method for calculating the damage depth of the water guiding damage of the bottom plate according to claim 1, 其特征在于，所述基于断裂力学、矿压控制和塑性力学的底板采动导水损伤破坏深度计算包括：It is characterized in that the calculation of the damage depth of floor mining water conduction damage based on fracture mechanics, mine pressure control and plastic mechanics includes: 基于断裂力学的底板采动导水损伤破坏带深度计算Depth Calculation of Depth of Floor Mining Water Conduction Damage Zone Based on Fracture Mechanics 根据断裂力学公式，基于构建底板采动导水损伤度修正，底板采动导水损伤破坏带深度公式如式（16）所示；According to the formula of fracture mechanics, based on the construction of the damage degree correction of the mining water conduction of the floor, the formula for the depth of the damage zone of the floor mining water conduction damage is shown in formula (16);
Figure 88535DEST_PATH_IMAGE057
（16）
Figure 88535DEST_PATH_IMAGE057
(16) 公式（16）适用于开采深度不超过500m的情况，
Figure 652896DEST_PATH_IMAGE058
为底板岩体平均容重，
Figure 483448DEST_PATH_IMAGE059
为开采深度，
Figure 788528DEST_PATH_IMAGE060
为壁式工作面长度，
Figure 388136DEST_PATH_IMAGE061
为底板岩体抗压强度，一般取岩石抗压轻度0.15倍；
Figure 261414DEST_PATH_IMAGE062
为底板岩体采动损伤度；Formula (16) is applicable when the mining depth does not exceed 500m,
Figure 652896DEST_PATH_IMAGE058
is the average bulk density of floor rock mass,
Figure 483448DEST_PATH_IMAGE059
is the mining depth,
Figure 788528DEST_PATH_IMAGE060
is the length of the wall face,
Figure 388136DEST_PATH_IMAGE061
It is the compressive strength of the floor rock mass, which is generally taken as 0.15 times the compressive strength of the rock;
Figure 261414DEST_PATH_IMAGE062
is the mining damage degree of floor rock mass; 基于矿压控制的底板采动导水损伤破坏带深度计算Depth Calculation of Floor Mining Water Conduction Damage Zone Depth Based on Mineral Pressure Control 假定采场底板岩体受到均匀损伤，损伤变量为
Figure 438318DEST_PATH_IMAGE063
, 根据损伤力学的假设,则垂直应力
Figure 422454DEST_PATH_IMAGE064
和水平应力
Figure 142149DEST_PATH_IMAGE065
如式（17）所示；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, the vertical stress
Figure 422454DEST_PATH_IMAGE064
and horizontal stress
Figure 142149DEST_PATH_IMAGE065
As shown in formula (17);
Figure 45383DEST_PATH_IMAGE066
（17）
Figure 45383DEST_PATH_IMAGE066
(17) 根据矿压控制理论，采场底板岩体最大主应力
Figure 584948DEST_PATH_IMAGE067
在不同位置深度
Figure 372776DEST_PATH_IMAGE068
衰减的规律如式（18）所示，其中
Figure 806031DEST_PATH_IMAGE069
为矿山压力最大集中系数；According to the mine pressure control theory, the maximum principal stress of stope floor rock mass
Figure 584948DEST_PATH_IMAGE067
at different depths
Figure 372776DEST_PATH_IMAGE068
The law of attenuation is shown in formula (18), where
Figure 806031DEST_PATH_IMAGE069
is the maximum concentration coefficient of mine pressure;
Figure 755533DEST_PATH_IMAGE070
（18）
Figure 755533DEST_PATH_IMAGE070
(18) 将式（18）带入式（17）得到基于矿压控制的底板采动导水损伤破坏带深度公式；Put formula (18) into formula (17) to obtain the depth formula of floor mining water conduction damage damage zone based on mine pressure control;
Figure 172607DEST_PATH_IMAGE071
（19）
Figure 172607DEST_PATH_IMAGE071
(19) 基于塑性力学的底板采动导水损伤破坏带深度计算Depth Calculation of Depth of Floor Mining Water Conduction Damage Zone Based on Plastic Mechanics 根据塑性力学理论公式，
Figure 232967DEST_PATH_IMAGE072
可按式（20）所示，其中
Figure 927254DEST_PATH_IMAGE073
为底板岩体的内摩擦角；According to the theoretical formula of plastic mechanics,
Figure 232967DEST_PATH_IMAGE072
can be shown in formula (20), where
Figure 927254DEST_PATH_IMAGE073
is the internal friction angle of the floor rock mass;
Figure 172290DEST_PATH_IMAGE074
（20）
Figure 172290DEST_PATH_IMAGE074
(20) 基于加权平均的底板采动导水损伤破坏带深度公式Depth formula of floor mining water conduction damage damage zone based on weighted average
Figure 686448DEST_PATH_IMAGE075
（21）。
Figure 686448DEST_PATH_IMAGE075
(twenty one).
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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