CN112362556A - Method for obtaining permeability coefficient continuous function of coal mine mining stable area - Google Patents
Method for obtaining permeability coefficient continuous function of coal mine mining stable area Download PDFInfo
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- 230000035699 permeability Effects 0.000 title claims abstract description 29
- 239000003245 coal Substances 0.000 title claims abstract description 16
- 238000005065 mining Methods 0.000 title claims abstract description 16
- 238000000034 method Methods 0.000 title claims abstract description 14
- 239000004575 stone Substances 0.000 claims abstract description 35
- 238000012360 testing method Methods 0.000 claims abstract description 28
- 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 16
- 239000011435 rock Substances 0.000 claims abstract description 12
- 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
- 230000005484 gravity Effects 0.000 claims description 3
- 230000008569 process Effects 0.000 claims description 3
- 238000000605 extraction Methods 0.000 description 5
- 238000011160 research Methods 0.000 description 4
- 238000005315 distribution function Methods 0.000 description 2
- VNWKTOKETHGBQD-UHFFFAOYSA-N methane Chemical compound C VNWKTOKETHGBQD-UHFFFAOYSA-N 0.000 description 2
- 230000005012 migration Effects 0.000 description 2
- 238000013508 migration Methods 0.000 description 2
- 230000009286 beneficial effect Effects 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
- 238000006467 substitution reaction Methods 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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Abstract
The invention discloses a method for obtaining a permeability coefficient continuous function of a coal mining stable area, which comprises the following steps: 1) collecting a surrounding rock sample of a target working surface, measuring the uniaxial compressive strength and density of the complete rock sample, and setting the pressure-bearing strength of the crushed stone according to the uniaxial compressive strength; 2) preparing not less than three same lithologic crushed stone samples with grain sizes, and drying; 3) carrying out pressure-bearing seepage tests 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 the pore pressure gradient and the 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 permeability coefficient and a non-Darcy flow factor; and then carrying out binary fitting 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.
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 particularly relates to a method for obtaining a permeability coefficient continuous function of a coal mine mining stable region, which can be directly applied to selection of a ground position of a gas extraction well of the coal mine mining stable region.
Background
In the research of the coal bed gas migration rule in the extraction process of the mining stable area, the distribution condition of the permeability coefficient is a key parameter for research. At present, the permeability coefficient is mostly selected to be an even distribution function or a sectional even distribution function, which is different from the actual situation to a certain extent, and the movement rule of the coal bed methane obtained by research is possibly inaccurate.
Disclosure of Invention
In view of the above, the present invention provides a method for obtaining a continuous function of permeability coefficients in a coal mining stable area, so as to solve the technical problem of inaccurate permeability coefficient selection.
The invention discloses a method for obtaining a permeability coefficient continuous function of a coal mining stable area, which comprises the following steps:
1) collecting a surrounding rock sample of a target working surface, measuring the uniaxial compressive strength and density of the complete rock sample, and setting the pressure-bearing strength of the crushed stone according to the uniaxial compressive strength;
2) preparing not less than three lithotripsy samples with the same particle size and according 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 compressing the crushed stone sample so as to simulate the porosity change of the caving rock in different places of the mining stable area due to the action of mine pressure, and gas for testing seepage conditions is introduced into the crushed stone sample in the process of compressing the crushed stone sample; the method comprises the steps that 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 are obtained by changing the displacement of a pressure head and the pressure of introduced air;
4) after the test is finished, selecting a plurality of groups of typical data, making a change curve of the pore pressure gradient and the seepage velocity, comparing the change curve of the pore pressure gradient and the seepage velocity obtained by fitting with a pore pressure gradient and seepage velocity relation curve expressed by a Forchheimer type non-Darcy equation, and judging whether the change curve accords with the Forchheimer type non-Darcy equation; the Forchheimer type NodeDarcy equation is as follows:
wherein J is a pore pressure gradient in Pa/m; rho is the fluid density in kg/m3(ii) a g is the gravity acceleration with the unit of N/kg; beta is a factor of Fidexi flow in m-1(ii) a v is the seepage velocity in m/s; k is the coefficient of permeability of the Darcy, the unit is m/s,where k is the permeability in m-2(ii) a u is the dynamic viscosity coefficient 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 conforms to a 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 permeability coefficient K and a non-Darcy flow factor beta; then binary fitting is carried out to obtain a function relational expression f (n, d) of K, the porosity n of the crushed stone sample and the granularity d of the crushed stone sample in the pressure-bearing seepage test and a relational expression g (n, d) of beta, n and d,
in the formula: k-permeability coefficient; beta-noncardiac flow factor; n-the porosity of the crushed stone sample in the pressure bearing seepage test; d-crushed stone sample granularity; a is1、a2And a3Fitting the phase of the curve of the permeability coefficient K with respect to the variation of the porosity n and the particle size d to experimental dataA fitting constant is closed; b1、b2And b3The relevant fitting constants for the curves of the non-darcy flow factor beta with respect to the variation of porosity n and particle size d are fitted by experimental data.
The invention has the beneficial effects that:
the invention relates to a method for obtaining a continuous function of permeability coefficient of a coal mining stable area, which comprises the steps of carrying out a multi-particle-size crushed stone pressure-bearing seepage test to obtain experimental data such as seepage velocity, pore pressure gradient and particle size, fitting the data to obtain a function relation of the permeability coefficient K on porosity and particle size.
Drawings
FIG. 1 is a graph of pore pressure gradient versus seepage velocity.
Detailed Description
The method for obtaining the permeability coefficient continuous function of the coal mining stable area comprises the following steps:
1) and collecting a surrounding rock sample of the target working surface, measuring the uniaxial compressive strength and the density of the complete rock sample, and setting the pressure-bearing strength of the crushed stone according to the uniaxial compressive strength.
2) Preparing the same lithotripsy sample with not less than three particle sizes which is consistent with the test result of the step 1), and drying.
3) Carrying out pressure-bearing seepage tests on gravel samples with different particle sizes: the porosity of the crushed stone sample is reduced by compressing the crushed stone sample so as to simulate the porosity change of the caving rock in different places of the mining stable area due to the action of mine pressure, and gas for testing seepage conditions is introduced into the crushed stone sample in the process of compressing the crushed stone sample; the 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 are obtained by changing the pressure head displacement and the pressure of the introduced air.
In the embodiment, the pressure-bearing seepage test of the crushed stone samples with different particle sizes is to load the crushed stone samples into the device for testing the permeability parameters of the crushed rock disclosed by the application number 202010014728.5 and carry out the pressure-bearing seepage test 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 the pore pressure gradient and the seepage velocity, comparing the change curve of the pore pressure gradient and the seepage velocity obtained by fitting with a pore pressure gradient and seepage velocity relation curve expressed by a Forchheimer type non-Darcy equation, and judging whether the change curve accords with the Forchheimer type non-Darcy equation; the Forchheimer type NodeDarcy equation is as follows:
wherein J is a pore pressure gradient in Pa/m; rho is the fluid density in kg/m3(ii) a g is the gravity acceleration with the unit of N/kg; beta is a factor of Fidexi flow in m-1(ii) a v is the seepage velocity in m/s; k is the coefficient of permeability of the Darcy, the unit is m/s,where k is the permeability in m-2(ii) a u is the dynamic viscosity coefficient of the fluid, in Pa · s.
5) After determining that the change curve of the pore pressure gradient and the seepage velocity conforms to a 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 permeability coefficient K and a non-Darcy flow factor beta; then binary fitting is carried out to obtain a function relational expression f (n, d) of K, the porosity n of the crushed stone sample and the granularity d of the crushed stone sample in the pressure-bearing seepage test and a relational expression g (n, d) of beta, n and d,
in the formula: k-permeability coefficient; beta-noncardiac flow factor; n-the porosity of the crushed stone sample in the pressure bearing seepage test; d-crushed stone sample granularity; a is1、a2And a3Fitting the relevant fitting constants of the permeability coefficient K on the variation curves of the porosity n and the particle size d through the test data; b1、b2And b3The relevant fitting constants for the curves of the non-darcy flow factor beta with respect to the variation of porosity n and particle size d are fitted by experimental data.
The permeability coefficient K obtained in the embodiment is more consistent with the actual situation, has a positive effect on the research of the coal bed gas migration rule in the extraction process of the mining stable area, and can help to select the position of the gas extraction well of the mining stable area of the coal mine.
Finally, the above embodiments are only for illustrating the technical solutions of the present invention and not for limiting, 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 or equivalent substitutions may be made to the technical solutions of the present invention without departing from the spirit and scope of the technical solutions of the present invention, and all of them should be covered in the claims of the present invention.
Claims (1)
1. The method for obtaining the permeability coefficient continuous function of the coal mining stable area is characterized by comprising the following steps of:
1) collecting a surrounding rock sample of a target working surface, measuring the uniaxial compressive strength and density of the complete rock sample, and setting the pressure-bearing strength of the crushed stone according to the uniaxial compressive strength;
2) preparing not less than three lithotripsy samples with the same particle size and according with the test result of the step 1), and drying;
3) carrying out pressure-bearing seepage tests on gravel samples with different particle sizes: the porosity of the crushed stone sample is reduced by compressing the crushed stone sample so as to simulate the porosity change of the caving rock in different places of the mining stable area due to the action of mine pressure, and gas for testing seepage conditions is introduced into the crushed stone sample in the process of compressing the crushed stone sample; the method comprises the steps that 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 are obtained by changing the displacement of a pressure head and the pressure of introduced air;
4) after the test is finished, selecting a plurality of groups of typical data, making a change curve of the pore pressure gradient and the seepage velocity, comparing the change curve of the pore pressure gradient and the seepage velocity obtained by fitting with a pore pressure gradient and seepage velocity relation curve expressed by a Forchheimer type non-Darcy equation, and judging whether the change curve accords with the Forchheimer type non-Darcy equation; the Forchheimer type NodeDarcy equation is as follows:
wherein J is a pore pressure gradient in Pa/m; rho is the fluid density in kg/m3(ii) a g is the gravity acceleration with the unit of N/kg; beta is a factor of Fidexi flow in m-1(ii) a v is the seepage velocity in m/s; k is the coefficient of permeability of the Darcy, the unit is m/s,where k is the permeability in m-2(ii) a u is the dynamic viscosity coefficient 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 conforms to a 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 permeability coefficient K and a non-Darcy flow factor beta; then binary fitting is carried out to obtain a function relational expression f (n, d) of K, the porosity n of the crushed stone sample and the granularity d of the crushed stone sample in the pressure-bearing seepage test and a relational expression g (n, d) of beta, n and d,
in the formula: k-permeability coefficient; beta-noncardiac flow factor; n-the porosity of the crushed stone sample in the pressure bearing seepage test; d-crushed stone sample granularity; a is1、a2And a3Fitting the relevant fitting constants of the permeability coefficient K on the variation curves of the porosity n and the particle size d through the test data; b1、b2And b3The relevant fitting constants for the curves of the non-darcy flow factor beta with respect to the variation of porosity n and particle size d are fitted by experimental data.
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