CN114236099A - Coal mining damage range determining method based on energy transfer conservation - Google Patents

Coal mining damage range determining method based on energy transfer conservation Download PDF

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CN114236099A
CN114236099A CN202210054367.6A CN202210054367A CN114236099A CN 114236099 A CN114236099 A CN 114236099A CN 202210054367 A CN202210054367 A CN 202210054367A CN 114236099 A CN114236099 A CN 114236099A
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张村
贾胜
张通
赵毅鑫
马建起
张晨曦
崔舒畅
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China University of Mining and Technology Beijing CUMTB
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Abstract

The invention provides a coal mining damage range determining method based on energy transfer conservation, which comprises the steps of determining the thickness of each rock stratum of overlying strata by ground drilling and sampling; the elastic modulus Ei of each rock stratum and the elastic modulus E and peak strain epsilon of the coal body are actually measured in a laboratory by adopting a uniaxial compression methodmPlastic strain epsilonuAnd residual elastic strain epsilone(ii) a According to the mining size of the coal bed, the coal bed burial depth H and the overlying rock volume weight gamma, the total energy released by mining the coal bed is calculated
Figure DDA0003475807130000011
The residual energy E is obtained according to the principle of energy conservation and the plastic damage dissipation energy, the residual strain elastic energy and the elastic strain energy of the disturbance area of the damaged rock stratumc(ii) a Determining the remaining energy EcUltimate strain energy E with the next undamaged formationmThe size of (c) between. The invention canClearing the damage conduction mechanism of the overlying strata during coal seam mining, predicting the damage disturbance range caused by mining, and providing a basis for realizing damage control.

Description

Coal mining damage range determining method based on energy transfer conservation
Technical Field
The invention relates to the field of coal seam mining, in particular to a method for determining a damage range and a conduction mechanism of overlying strata in the process of underground coal mining, and particularly relates to a method for determining a damage range of coal mining based on energy transfer conservation.
Background
The scale of the Chinese underground coal mine is developed from million tons (100-300 ten thousand tons/year) in the nineties of the last century to million tons (1000-3000 ten thousand tons/year) in the early century, the mining intensification level is continuously improved, and the method becomes an important way for improving the safety guarantee degree, the resource recovery rate and the economic benefit of the coal mine. According to the intensive development layout, the yield of 14 large coal bases in China accounts for more than 95% of the whole country. High-strength mining is an important mode of intensive mining, but the problems of rapid surface subsidence and large deformation, and further serious ecological damage are urgently needed to be solved. The yield of western Jinshanmengning sweet coal represented by Shendong mining area is 3/4 of China, but the area is vulnerable to ecology and deficient in water resources, and the desertification of the mining area and the periphery are aggravated by high-intensity mining. The east mining area represented by the 'Shuihi' mining area guarantees energy supply in east China, but high-intensity mining causes land collapse, and causes more shortage of land resources in mining urban areas. The ecological damage of the surface of the mining area is caused by the mining damage of a lower rock stratum and the transmission damage of an upper rock stratum and a surface layer caused by the mining damage of a lower rock stratum caused by deformation, breakage and movement of overlying strata caused by coal mining. However, because the underground rock-soil layer structure has continuous and discontinuous medium characteristics and complex mechanical properties, the conducting and controlling model of overburden rock-surface damage (called mining damage) caused by mining is difficult to establish.
In summary, the following problems exist in the prior art: the damage conduction mechanism of the overlying strata in coal seam mining is not clear, and the damage range is difficult to determine.
Disclosure of Invention
The invention provides a coal mining damage range determining method based on energy transfer conservation, and aims to solve the problems that a damage conduction mechanism of overlying strata in coal mining is not clear, and a damage range is difficult to determine.
Therefore, the invention provides a coal mining damage range determining method based on energy transfer conservation, which comprises the following steps of:
step a, drilling a ground hole in a ground mining coal seam aiming at a research mine, sampling and measuring the thickness H of each layer of overlying strataiMeasuring (2);
step b, carrying out laboratory uniaxial compression test on each layer of rock sample, and measuring the elastic modulus Ei of each rock layer, the elastic modulus E of the coal body and the peak strain epsilonmPlastic strain epsilonuAnd residual elastic strain epsilone
Step c, according to the volume modulus E of the mined coal body (mined coal bed) and the burial depth H, the volume strain caused by the ground stress can be obtained
Figure BDA0003475807110000021
Wherein gamma is the volume weight of overlying strata and the unit is N/m3
Step d, further calculating the volume strain energy according to the volume strain of the coal body
Figure BDA0003475807110000022
Wherein D is the working face length inThe length L is the advancing length of the working face and is the unit of meter, and the height M is the mining height of the working face and is the unit of meter;
e, calculating and obtaining the residual energy E when the layer I is damaged in the conduction process according to the principle of energy conservationciResidual energy
Figure BDA0003475807110000023
EuDissipation of energy, E, to damage plasticityeResidual strain energy of the damaged area, ErElastic strain energy of a disturbance area;
step j, judging the residual energy EciUltimate strain energy E with i +1 formationmi+1The size of (c) between.
Further, still include:
step k, when Eci≥Emi+1When the (i + 1) th rock stratum is damaged, the damaged energy is continuously transmitted to the (i + 2) th rock stratum, the step d is returned, and the residual energy E is continuously calculatedc+1Re-judging the i +2 rock stratum limit strain energy Emi+2The size of (c) between.
Further, still include:
step j, when Eci<Emi+1And then, the i +1 rock stratum is not damaged, the damage transmission is stopped, the damage range caused by coal seam mining is up to the i rock stratum, and the total volume of the damage range is calculated
Figure BDA0003475807110000024
Further, step d specifically includes the following steps:
step d1, first calculate the damaged volume of the i-th layer
Figure BDA0003475807110000025
Wherein
Figure BDA0003475807110000026
Figure BDA0003475807110000027
H is depth of burial, i.e. distance of ith rock layer from mining coal seam floorDistance in meters, HiIs the thickness of the ith layer of rock, in meters, theta is the dip angle, and beta is the strike angle.
Step d2, calculating the mining disturbance volume of the ith layer
Figure BDA0003475807110000031
Wherein
Figure BDA0003475807110000032
Figure BDA0003475807110000033
θ1Tendency to damage angle, β1Run towards the injury angle.
Step d3 plastic dissipative strain energy of ith formation
Figure BDA0003475807110000034
EiAnd εuiRespectively the elastic modulus and the plastic strain of the ith stratum;
d4 residual elastic strain energy of damaged zone of ith formation
Figure BDA0003475807110000035
εseiThe residual elastic strain of the damaged area of the ith rock stratum is obtained;
d5 residual elastic strain energy of disturbed region of ith formation
Figure BDA0003475807110000036
εreiElastic strain of a disturbance zone of an ith rock stratum is obtained;
step d6 ultimate strain energy of i +1 th formation
Figure BDA0003475807110000037
εmi+1Is the i +1 th formation peak strain, Vmi+1The damaged volume of the i +1 th layer after damage, and VmThe calculation method is the same.
With the improvement of coal mining technology and equipment, intensive and high-strength mining becomes a main mode of safe and efficient mines in China. But the damage to overlying strata, earth surface and ecology caused by intensive high-strength mining is serious, the repairing difficulty is high, the cost is high, and the method is a common key technical problem which restricts the green mining of coal. The fundamental way to solve the problem is to master the damage and conduction mechanism and rule of high-strength mining on overlying strata and earth surface, and further to develop a high-efficiency low-cost repairing technology from the mining source.
The invention provides a coal mining damage range determining method based on energy transfer conservation, which comprises the steps of determining the thickness of each rock stratum of surrounding rock by ground drilling and sampling; laboratory adopts uniaxial compression method to actually measure elastic modulus E and peak strain epsilon of each rock stratummPlastic strain epsilonuAnd residual elastic strain epsilone(ii) a According to the mining size of the coal bed, the coal bed burial depth H and the overlying rock volume weight gamma, the total energy released by mining the coal bed is calculated
Figure BDA0003475807110000038
The residual energy E is obtained according to the principle of energy conservation and the plastic damage dissipation energy, the residual strain elastic energy and the elastic strain energy of the disturbance area of the damaged rock stratumc(ii) a Determining the remaining energy EcUltimate strain energy E of undamaged rock stratum below top and bottom platesmThe size of (c) between. The method can clear the damage conduction mechanism of the coal seam mining top and bottom plates, predict the damage disturbance range of the top and bottom plates caused by mining and provide a foundation for realizing damage control.
Drawings
FIG. 1 is a schematic cross-sectional view of a damaged area and a disturbed area during a coal seam mining damage transmission process according to the present invention;
FIG. 2 is a schematic top view of a damaged area of the ith formation according to the present invention.
The reference numbers illustrate:
1. mining a coal bed; 2. covering rock; 3. mining the damaged area; 4. a coal seam stoping space; 5. drilling on the ground; 6. exploiting a disturbance area; 7. an ith rock formation; 8. an i +1 th rock layer; 9. mining the space trend; 10. the mining space tends.
Detailed Description
The present invention will now be described in order to more clearly understand the technical features, objects, and effects of the present invention.
As shown in fig. 1 and 2, the method for determining the coal mining damage range based on energy transfer conservation specifically includes the following steps:
a. drilling a ground hole 5 in a mining coal seam 1 on the ground aiming at a research mine, sampling each layer of overburden rock 2 and measuring the thickness HiMeasuring (2);
b. subjecting each rock sample to uniaxial compression test in laboratory, and measuring elastic modulus Ei of each rock layer, elastic modulus E (unit MPa) of coal body, and peak strain epsilonmPlastic strain epsilonuAnd residual elastic strain epsilone(ii) a The strains are all unitless;
c. from the volume modulus E of the mined coal seam (mined coal body) 1 and the burial depth H, the volume strain due to the ground stress can be determined
Figure BDA0003475807110000041
Wherein gamma is the volume weight of the top and bottom plates 2 and the unit is N/m3
d. Further calculating the volume strain energy according to the volume strain of the mined coal seam 1
Figure BDA0003475807110000042
Wherein D is the working face length in meters, L is the working face advancing length in meters, and M is the working face mining height in meters;
e. calculating and obtaining the residual energy E when the i-th rock stratum 7 is damaged in the conduction process according to the principle of energy conservationciResidual energy
Figure BDA0003475807110000043
EuDissipation of energy, E, to damage plasticityeResidual strain energy, E, for the damaged zone 3rIs the elastic strain energy of the disturbance area 6;
e. plastic dissipated strain energy of ith formation 7
Figure BDA0003475807110000044
Units J, EiAnd εuiElastic modulus (in MPa) and plastic strain of the i-th rock layer 7, respectively;
f. residual elastic strain energy of damaged zone 3 of ith formation 7
Figure BDA0003475807110000051
Unit J, epsilonseiThe residual elastic strain of the damaged area 3 of the ith rock stratum 7;
g. residual elastic strain energy of disturbance zone 6 of ith formation 7
Figure BDA0003475807110000052
Unit J, epsilonreiPerturbing the elastic strain of zone 6 for the ith formation 7;
h. damaged volume of i-th rock formation 7
Figure BDA0003475807110000053
As shown in FIG. 2, wherein
Figure BDA0003475807110000054
Figure BDA0003475807110000055
H is the distance between the ith rock layer 7 and the bottom plate of the mined coal seam 1, and the unit is meter, HiIs the thickness of the i-th formation 7 in meters, theta is the dip 10 damage angle and beta is the strike 9b damage angle. a, a1B and b1The units are meters and tan is a tangent trigonometric function.
i. Disturbance volume of production in the ith formation 7
Figure BDA0003475807110000056
Wherein
Figure BDA0003475807110000057
Figure BDA0003475807110000058
θ1Inclined to 10 disturbance angle, beta1Run 9 for the disturbance angle.
j. Determining the remaining energy EciWith i +1 rockUltimate strain energy E of layer 8mi+1The size of the gap between the two plates,
Figure BDA0003475807110000059
unit J, epsilonmi+18 th peak strain, V, for the i +1 st rock formationmi+1The damaged volume of the i +1 th layer 8 after damage is m3Calculating according to the step h;
k. when E isci≥Emi+1When the (i + 1) th rock stratum 8 is damaged, the damage energy is continuously transmitted to the (i + 2) th rock stratum 11, the step d is returned, and the residual energy E is continuously calculatedci+1Re-judging the ultimate strain energy E of the i +2 rock layer 11mi+A size between 2;
j. when E isci<Emi+1And then the i +1 rock stratum 8 is not damaged, the damage transmission is stopped, at the moment, the range of the damaged area 3 caused by the mining of the coal seam 1 is from the i rock stratum 7, and the total volume of the range of the damaged area 3 is calculated
Figure BDA00034758071100000510
Unit is m3
The implementation of the method is beneficial to determining the high-strength mining overburden rock conduction rule, further determining the corresponding damage range and disturbance range, and providing support for mining damage repair.
The above description is only an exemplary embodiment of the present invention, and is not intended to limit the scope of the present invention. In order that the components of the present invention may be combined without conflict, it is intended that all equivalent changes and modifications made by those skilled in the art without departing from the spirit and principles of the present invention shall fall within the protection scope of the present invention.

Claims (4)

1. A coal mining damage range determining method based on energy transfer conservation is characterized by comprising the following steps of:
step a, drilling a ground hole in a ground mining coal seam aiming at a research mine, sampling and measuring the thickness H of each layer of overlying strataiMeasurement of;
Step b, carrying out laboratory uniaxial compression test on each rock layer sample, and measuring the elastic modulus Ei of each rock layer and the elastic modulus E of the coal body, wherein the unit is pascal and the peak strain epsilonmDimensionless, plastic strain epsilonuDimensionless, and residual elastic strain epsiloneNo dimension;
step c, according to the elastic modulus E and the burial depth H of the mined coal body, the elastic strain of the mined coal body caused by the ground stress can be obtained
Figure FDA0003475807100000011
εvDimensionless, where γ is the overburden bulk density in units of N/m3And the unit of H is meter,
step d, further calculating the volume strain energy of the mined coal body according to the volume strain of the coal body
Figure FDA0003475807100000012
EvThe unit is Joule, wherein D is the length of the working face and the unit is meter, L is the advancing length of the working face and the unit is meter, and M is the mining height of the working face and the unit is meter;
e, calculating and obtaining the residual energy E when the layer I is damaged in the conduction process according to the principle of energy conservationciIn units of joules, residual energy
Figure FDA0003475807100000013
EuDissipation of energy, E, to damage plasticityeResidual strain energy of the damaged area, ErElastic strain energy of a disturbance area; euxMeaning the x-th formation damage plastic dissipation energy in joules, EexMeaning the residual strain energy in joules, E in the damaged zone of the xth formationrxMeaning the elastic strain energy of the xth formation disturbance zone, in joules; m is the total number of layers of the overburden, and x is an integer traversing 1 to m layers;
step j, judging the residual energy EciUltimate strain energy E with i +1 formationmi+1Size between, Emi+1The units are joules.
2. The energy transfer conservation-based coal mining damage-domain determination method of claim 1, further comprising:
step k, when Eci≥Emi+1And (d) when the (i + 1) th rock stratum is damaged, the damage energy is continuously transmitted to the (i + 2) th rock stratum, the step (d) is returned, and the residual energy E is continuously calculatedc+1,Ec+1Meaning the residual energy of c +1 stratum, and re-judging the ultimate strain energy E of i +2 stratummi+2The size of (c) between.
3. The energy transfer conservation-based coal mining damage-domain determination method of claim 1, further comprising:
step j, when Eci<Emi+1And then, the i +1 rock stratum is not damaged, the damage transmission is stopped, the damage range caused by coal seam mining is up to the i rock stratum, and the total volume of the damage range is calculated
Figure FDA0003475807100000021
VmThe unit is cubic meter.
4. The energy transfer conservation-based coal mining damage range determination method of claim 1, wherein step d specifically comprises the steps of:
step d1, first calculate the damaged volume of the i-th layer
Figure FDA0003475807100000022
Wherein
Figure FDA0003475807100000023
Figure FDA0003475807100000024
HiIs the thickness of the ith layer in meters, theta is the dip angle, beta is the strike angle, a1The major axes of the damage ellipse of the current layer and the previous layer are respectively in the unit of meter, b and b1The short axes of the damage ellipse of the current layer and the previous layer are respectively, and the unit is meter;
step d2, calculating the mining disturbance volume of the ith layer
Figure FDA0003475807100000025
VeiThe unit is cubic meter, wherein
Figure FDA0003475807100000026
θ1Tendency to damage angle, β1The strike damage angle; tan is a trigonometric function; c and c1 are respectively the major axes of the disturbance ellipses at the current layer and the previous layer, d and d1 are respectively the minor axes of the disturbance ellipses at the current layer and the previous layer, and the unit is meter;
step d3 plastic dissipative strain energy of ith formation
Figure FDA0003475807100000027
Units are joules, EiAnd εuiRespectively the elastic modulus and the plastic strain of the ith stratum;
d4 residual elastic strain energy of damaged zone of ith formation
Figure FDA0003475807100000028
In units of Joule,. epsilonseiThe residual elastic strain of the damaged area of the ith rock stratum is obtained;
d5 residual elastic strain energy of disturbed region of ith formation
Figure FDA0003475807100000029
In units of Joule,. epsilonreiElastic strain of a disturbance zone of an ith rock stratum is obtained;
step d6 ultimate strain energy of i +1 th formation
Figure FDA00034758071000000210
εmi+1Is the i +1 th formation peak strain, Vmi+1Is as followsThe damaged volume of the i +1 layer after damage, and VmThe calculation method is the same.
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