CN112362556B - Method for obtaining continuous function of permeability coefficient of coal mine mining stable region - Google Patents
Method for obtaining continuous function of permeability coefficient of coal mine mining stable region Download PDFInfo
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- 230000035699 permeability Effects 0.000 title claims abstract description 23
- 238000000034 method Methods 0.000 title claims abstract description 22
- 239000003245 coal Substances 0.000 title claims abstract description 16
- 238000005065 mining Methods 0.000 title claims abstract description 16
- 239000004575 stone Substances 0.000 claims abstract description 33
- 238000012360 testing method Methods 0.000 claims abstract description 27
- 239000011148 porous material Substances 0.000 claims abstract description 22
- 230000008859 change Effects 0.000 claims abstract description 20
- 239000002245 particle Substances 0.000 claims abstract description 20
- 239000011435 rock Substances 0.000 claims abstract description 12
- 230000003204 osmotic effect Effects 0.000 claims abstract description 7
- 238000001035 drying Methods 0.000 claims abstract description 4
- 238000012545 processing Methods 0.000 claims abstract description 4
- 238000006073 displacement reaction Methods 0.000 claims description 6
- 239000012530 fluid Substances 0.000 claims description 6
- 230000001133 acceleration Effects 0.000 claims description 3
- 230000009471 action Effects 0.000 claims description 3
- 230000006835 compression Effects 0.000 claims description 3
- 238000007906 compression Methods 0.000 claims description 3
- 230000005484 gravity Effects 0.000 claims description 3
- 230000008569 process Effects 0.000 claims description 3
- 238000000605 extraction Methods 0.000 description 5
- 230000005012 migration Effects 0.000 description 3
- 238000013508 migration Methods 0.000 description 3
- 238000011160 research Methods 0.000 description 3
- 230000006641 stabilisation Effects 0.000 description 2
- 238000011105 stabilization Methods 0.000 description 2
- 238000009827 uniform distribution Methods 0.000 description 2
- 230000009286 beneficial effect Effects 0.000 description 1
- 238000009826 distribution Methods 0.000 description 1
- 238000012986 modification Methods 0.000 description 1
- 230000004048 modification Effects 0.000 description 1
- 230000008092 positive effect Effects 0.000 description 1
- 230000005641 tunneling Effects 0.000 description 1
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
- G01N15/00—Investigating characteristics of particles; Investigating permeability, pore-volume, or surface-area of porous materials
- G01N15/08—Investigating permeability, pore-volume, or surface area of porous materials
- G01N15/082—Investigating permeability by forcing a fluid through a sample
- G01N15/0826—Investigating permeability by forcing a fluid through a sample and measuring fluid flow rate, i.e. permeation rate or pressure change
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
- G01N15/00—Investigating characteristics of particles; Investigating permeability, pore-volume, or surface-area of porous materials
- G01N15/08—Investigating permeability, pore-volume, or surface area of porous materials
- G01N15/088—Investigating volume, surface area, size or distribution of pores; Porosimetry
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- Chemical & Material Sciences (AREA)
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- Biochemistry (AREA)
- General Health & Medical Sciences (AREA)
- General Physics & Mathematics (AREA)
- Immunology (AREA)
- Pathology (AREA)
- Fluid Mechanics (AREA)
- Investigating Strength Of Materials By Application Of Mechanical Stress (AREA)
Abstract
The invention discloses a method for obtaining a continuous function of permeability coefficient of a mining stable region of a coal mine, which comprises the following steps: 1) Collecting a target working face surrounding rock sample, measuring the uniaxial compressive strength and the uniaxial compressive strength of the complete rock sample, and setting the crushing pressure-bearing strength by the uniaxial compressive strength; 2) Preparing the same lithotripsy stone sample with the particle size of not less than three, and drying; 3) Carrying out pressure-bearing seepage test on crushed stone samples with different particle sizes; 4) After the test is finished, selecting a plurality of groups of typical data, and making a change curve of pore pressure gradient and seepage velocity; 5) Processing the change curve of the pore pressure gradient and the seepage velocity obtained by fitting according to a Forchheimer type non-Darcy equation to obtain a non-Darcy osmotic coefficient and a non-Darcy flow factor; and then binary fitting is carried out to obtain a functional relation between the permeability coefficient and the porosity and granularity of the crushed stone sample in the pressure-bearing seepage test, wherein the permeability coefficient obtained by the method is more in line with the actual situation.
Description
Technical Field
The invention relates to the technical field of coal mine gas extraction, in particular to the technical field of coal mine tunneling, and in particular relates to a method for obtaining a continuous function of permeability coefficient of a coal mine mining stability zone, which can be directly applied to ground position selection of a coal mine mining stability zone gas extraction well.
Background
In the research of the coal bed gas migration rule in the extraction process of the mining stable region, the permeability coefficient distribution condition is a key parameter of the research. At present, most of permeability coefficient selection is a uniform distribution function or a segmented uniform distribution function, which is different from the actual situation to a certain extent, and may cause inaccurate coal bed gas migration rules obtained through research.
Disclosure of Invention
In view of the above, the invention aims to provide a method for obtaining a continuous function of permeability coefficient of a mining stable region of a coal mine so as to solve the technical problem of inaccurate permeability coefficient selection.
The invention discloses a method for obtaining a continuous function of permeability coefficient of a mining stable region of a coal mine, which comprises the following steps:
1) Collecting a target working face surrounding rock sample, measuring the uniaxial compressive strength and the uniaxial compressive strength of the complete rock sample, and setting the crushing pressure-bearing strength by the uniaxial compressive strength;
2) Preparing identical lithotripsy stone samples with the particle sizes not less than three and consistent with the test results of the step 1), and drying;
3) Carrying out pressure-bearing seepage test on crushed stone samples with different particle sizes: the porosity of the crushed stone sample is reduced by compression, so that the porosity change of the rock falling from different places in a mining stable region due to the action of mine pressure is simulated, and gas for testing seepage conditions is introduced into the crushed stone sample in the process of compressing the crushed stone sample; obtaining experimental data of a plurality of groups of axial loads, pressure head displacement, air inlet pressure, air outlet pressure, air inlet flow and air outlet flow by changing the pressure head displacement and the pressure of the introduced gas;
4) After the test is finished, selecting a plurality of groups of typical data, making a change curve of pore pressure gradient and seepage velocity, comparing the change curve of pore pressure gradient and seepage velocity obtained by fitting with a relation curve of pore pressure gradient and seepage velocity expressed by a Forchheimer type non-Darcy equation, and judging whether the relation curve accords with the Forchheimer type non-Darcy equation; the Forchheimer's non-Darcy equation is as follows:
wherein J is pore pressure gradient, and the unit is Pa/m; ρ is the fluid density in kg/m 3 The method comprises the steps of carrying out a first treatment on the surface of the g is gravity acceleration, and the unit is N/kg; beta is the fidaxflow factor in m -1 The method comprises the steps of carrying out a first treatment on the surface of the v is the seepage velocity, the unit is m/s; k is the non-Darcy osmotic coefficient, the unit is m/s,wherein k is permeability in m -2 The method comprises the steps of carrying out a first treatment on the surface of the u is the dynamic coefficient of viscosity of the fluid, and the unit is Pa.s;
5) After determining that the change curve of the pore pressure gradient and the seepage velocity accords with the Forchheimer type non-Darcy equation, processing the change curve of the pore pressure gradient and the seepage velocity obtained by fitting according to a formula (1) to obtain a non-Darcy osmotic coefficient K and a non-Darcy flow factor beta; then binary fitting is carried out to obtain a functional relation f (n, d) of K and the broken stone sample porosity n and the broken stone sample granularity d in the pressure-bearing seepage test and a relation g (n, d) of beta and n and d,
wherein: k-permeability coefficient; beta-fidaxb factor; porosity of crushed stone sample in n-pressure-bearing seepage test; d-particle size of crushed stone sample; a, a 1 、a 2 And a 3 Fitting a relative fitting constant of the permeability coefficient K to the porosity n and particle size d curves for the experimental data; b 1 、b 2 And b 3 The relevant fitting constants of the fidaxflow factor β with respect to the porosity n and particle size d change curve were fitted to the experimental data.
The invention has the beneficial effects that:
the method for obtaining the continuous function of the permeability coefficient of the mining stable region of the coal mine obtains experimental data such as seepage velocity, pore pressure gradient, particle size and the like by carrying out a multi-particle-size broken stone pressure-bearing seepage test, and fits the data to obtain a functional relation of the permeability coefficient K with respect to the porosity and the particle size.
Drawings
FIG. 1 is a graph of pore pressure gradient versus seepage velocity.
Detailed Description
The method for obtaining the continuous function of the permeability coefficient of the mining stable region of the coal mine comprises the following steps:
1) And collecting a target working face surrounding rock sample, measuring the uniaxial compressive strength and the density of the complete rock sample, and setting the crushing pressure-bearing strength by the uniaxial compressive strength.
2) Preparing identical lithotripsy stone samples with not less than three particle sizes and consistent with the test result of the step 1), and drying.
3) Carrying out pressure-bearing seepage test on crushed stone samples with different particle sizes: the porosity of the crushed stone sample is reduced by compression, so that the porosity change of the rock falling from different places in a mining stable region due to the action of mine pressure is simulated, and gas for testing seepage conditions is introduced into the crushed stone sample in the process of compressing the crushed stone sample; and obtaining experimental data of a plurality of groups of axial loads, pressure head displacement, air inlet pressure, air outlet pressure, air inlet flow and air outlet flow by changing the pressure head displacement and the pressure of the introduced air.
In the embodiment, the pressure-bearing seepage test is carried out on the crushed stone samples with different particle sizes, wherein the crushed stone samples are put into a device for testing the permeability parameters of crushed rock disclosed by the application number 202010014728.5, and the pressure-bearing seepage test is carried out on a GCTS test system platform.
4) After the test is finished, selecting a plurality of groups of typical data, making a change curve of pore pressure gradient and seepage velocity, comparing the change curve of pore pressure gradient and seepage velocity obtained by fitting with a relation curve of pore pressure gradient and seepage velocity expressed by a Forchheimer type non-Darcy equation, and judging whether the relation curve accords with the Forchheimer type non-Darcy equation; the Forchheimer's non-Darcy equation is as follows:
wherein J is pore pressure gradient, and the unit is Pa/m; ρ is the fluid density in kg/m 3 The method comprises the steps of carrying out a first treatment on the surface of the g is gravity acceleration, and the unit is N/kg; beta is the fidaxflow factor in m -1 The method comprises the steps of carrying out a first treatment on the surface of the v is the seepage velocity, the unit is m/s; k is the non-Darcy osmotic coefficient, the unit is m/s,wherein k is permeability in m -2 The method comprises the steps of carrying out a first treatment on the surface of the u is the dynamic coefficient of viscosity of the fluid in Pa.s.
5) After determining that the change curve of the pore pressure gradient and the seepage velocity accords with the Forchheimer type non-Darcy equation, processing the change curve of the pore pressure gradient and the seepage velocity obtained by fitting according to a formula (1) to obtain a non-Darcy osmotic coefficient K and a non-Darcy flow factor beta; then binary fitting is carried out to obtain a functional relation f (n, d) of K and the broken stone sample porosity n and the broken stone sample granularity d in the pressure-bearing seepage test and a relation g (n, d) of beta and n and d,
wherein: k-permeability coefficient; beta-fidaxb factor; porosity of crushed stone sample in n-pressure-bearing seepage test; d-particle size of crushed stone sample; a, a 1 、a 2 And a 3 Fitting a relative fitting constant of the permeability coefficient K to the porosity n and particle size d curves for the experimental data; b 1 、b 2 And b 3 The relevant fitting constants of the fidaxflow factor β with respect to the porosity n and particle size d change curve were fitted to the experimental data.
The permeability coefficient K obtained in the embodiment is more in line with the actual situation, has positive effects on researching the coal bed gas migration rule in the extraction process of the mining stabilization zone, and can help to select the position of the gas extraction well of the mining stabilization zone of the coal mine.
Finally, it is noted that the above embodiments are only for illustrating the technical solution of the present invention and not for limiting the same, and although the present invention has been described in detail with reference to the preferred embodiments, it should be understood by those skilled in the art that modifications and equivalents may be made thereto without departing from the spirit and scope of the technical solution of the present invention, which is intended to be covered by the scope of the claims of the present invention.
Claims (1)
1. The method for obtaining the continuous function of the permeability coefficient of the mining stable region of the coal mine is characterized by comprising the following steps of:
1) Collecting a target working face surrounding rock sample, measuring the uniaxial compressive strength and the uniaxial compressive strength of the complete rock sample, and setting the crushing pressure-bearing strength by the uniaxial compressive strength;
2) Preparing identical lithotripsy stone samples with the particle sizes not less than three and consistent with the test results of the step 1), and drying;
3) Carrying out pressure-bearing seepage test on crushed stone samples with different particle sizes: the porosity of the crushed stone sample is reduced by compression, so that the porosity change of the rock falling from different places in a mining stable region due to the action of mine pressure is simulated, and gas for testing seepage conditions is introduced into the crushed stone sample in the process of compressing the crushed stone sample; obtaining experimental data of a plurality of groups of axial loads, pressure head displacement, air inlet pressure, air outlet pressure, air inlet flow and air outlet flow by changing the pressure head displacement and the pressure of the introduced gas;
4) After the test is finished, selecting a plurality of groups of typical data, making a change curve of pore pressure gradient and seepage velocity, comparing the change curve of pore pressure gradient and seepage velocity obtained by fitting with a relation curve of pore pressure gradient and seepage velocity expressed by a Forchheimer type non-Darcy equation, and judging whether the relation curve accords with the Forchheimer type non-Darcy equation; the Forchheimer's non-Darcy equation is as follows:
wherein J is pore pressure gradient, and the unit is Pa/m; ρ is the fluid density in kg/m 3 The method comprises the steps of carrying out a first treatment on the surface of the g is gravity acceleration, and the unit is N/kg; beta is the fidaxflow factor in m -1 The method comprises the steps of carrying out a first treatment on the surface of the v is the seepage velocity, the unit is m/s; k is the non-Darcy osmotic coefficient, the unit is m/s,wherein k is permeability in m -2 The method comprises the steps of carrying out a first treatment on the surface of the u is the dynamic coefficient of viscosity of the fluid, and the unit is Pa.s;
5) After determining that the change curve of the pore pressure gradient and the seepage velocity accords with the Forchheimer type non-Darcy equation, processing the change curve of the pore pressure gradient and the seepage velocity obtained by fitting according to a formula (1) to obtain a non-Darcy osmotic coefficient K and a non-Darcy flow factor beta; then binary fitting is carried out to obtain a functional relation f (n, d) of K and the broken stone sample porosity n and the broken stone sample granularity d in the pressure-bearing seepage test and a relation g (n, d) of beta and n and d,
wherein: k-permeability coefficient; beta-fidaxb factor; porosity of crushed stone sample in n-pressure-bearing seepage test; d-particle size of crushed stone sample; a, a 1 、a 2 And a 3 Fitting the permeability coefficient K to the variation of the porosity n and the particle size d by means of the test dataA correlation fit constant for the curve; b 1 、b 2 And b 3 The relevant fitting constants of the fidaxflow factor β with respect to the porosity n and particle size d change curve were fitted to the experimental data.
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