CN107101928A - A kind of non-linear device for testing permeability coefficient of coal petrography and method - Google Patents
A kind of non-linear device for testing permeability coefficient of coal petrography and method Download PDFInfo
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- 239000003245 coal Substances 0.000 title claims abstract description 205
- 238000012360 testing method Methods 0.000 title claims abstract description 103
- 230000035699 permeability Effects 0.000 title claims abstract description 29
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- 229910000831 Steel Inorganic materials 0.000 claims abstract description 12
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- 230000006837 decompression Effects 0.000 claims description 5
- 238000005259 measurement Methods 0.000 claims description 5
- 238000005086 pumping Methods 0.000 claims description 5
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- CSCPPACGZOOCGX-UHFFFAOYSA-N Acetone Chemical compound CC(C)=O CSCPPACGZOOCGX-UHFFFAOYSA-N 0.000 description 2
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Abstract
The invention belongs to technical field of mine safety, it is related to a kind of non-linear device for testing permeability coefficient of coal petrography and method, including coal sample sealing device, inlet port pressure control system, outlet pressures control system and vacuum line system, coal sample sealing device includes thermostat and air chamber, air chamber is arranged in thermostat, gas indoor location seal cavity, hollow cylindric steel pole is equipped with the middle part of seal cavity, it is connection outlet side that the bottom of steel pole, which passes the part of seal cavity, the upper seal of seal cavity installs the top cover of bending, some sieve apertures are uniformly arranged on the ring surface of top cover, top cover top is provided with top seal block, air chamber is provided with side room valve for columnar structured and air chamber side, inlet port pressure control system and vacuum line system are connected with side room valve, outlet pressures control system is with being connected outlet side connection, the problem of lacking theoretical direction when solving implementation mine gas improvement, rational extraction programme, which is formulated, for mine provides foundation.
Description
Technical field
The invention belongs to technical field of mine safety, it is related to a kind of non-linear device for testing permeability coefficient of coal petrography and method.
Background technology
Coal is in absolute main positions in the disposable energy resource structure of China, and the ratio of the fifties is once up to 90%.In advance
Count by 2015, China is up to 3,900,000,000 tons of coal production amount.However, the development of China coal industry is faced with the new situation
Stern challenge.The particularly serious Gas Disaster accident frequently occurred, it has also become the restraining factors of Safety of Coal Mine Production most serious.I
State's condition of coal seam occurrence is complicated, and highly gassy mine and coal and gas outburst mine account for 1/3, and preventing and treating coal mine gas disaster turns into peace
The most important thing produced entirely.In addition, gas (coal bed gas) is a kind of cleaning, the efficient energy, remains high in international oil price, subtract
Under the unprecedented increased overall situation of row pressure power, the exploitation dynamics for increasing gas is needed badly, as optimization China energy resource structure
Valuable source.Gas pumping is not only effectively preventing and treating coal mine gas disaster and realizes that the regionality of the essential type production of safety is arranged
Apply, be also the technical way of cbm development.At present, for mine gas extraction the problem of, in implementing process technology
Already close to maturation.But how this means is effectively used, scientifically implement mine gas improvement, still lack theoretical direction.
Therefore, how GAS Flow Theory in Coal Seam to be combined with gas pumping, science extraction is implemented as current coal in China industry
The problem of urgent need to resolve.Wherein, the non-linear infiltration coefficient of coal petrography how is tested, becomes to implement the key of science extraction planning.
In view of this, the invention discloses one kind test non-linear infiltration coefficient of coal petrography and hole pumping and mining gas physical analogy
Device and method, the problem of how testing coal petrography non-linear infiltration coefficient solved, for further investigation coal seam coal gas dynamics machine
Reason, seeks the controlling mechanism that coal itself physical parameter migrates to gas in coal body and provides technical support.Also it is mine simultaneously
Rational extraction programme is formulated there is provided foundation.
The content of the invention
In view of this, there is provided one kind for the problem of present invention is in order to solve to implement to lack theoretical direction during mine gas improvement
The non-linear device for testing permeability coefficient of coal petrography and method.
To reach above-mentioned purpose, the present invention provides following technical scheme：Controlled including coal sample sealing device, inlet port pressure
System, outlet pressures control system and vacuum line system, coal sample sealing device include thermostat and air chamber, and air chamber is arranged on
It is provided with thermostat, in air chamber in the middle part of the seal cavity being connected with air chamber sealing, seal cavity and is equipped with hollow cylinder
Shape steel pole, it is connection outlet side that the bottom of steel pole, which passes the part of seal cavity, and the upper seal of seal cavity is provided with bending
Some sieve apertures are uniformly arranged on the top cover of shape, the ring surface of top cover, top cover top is provided with top seal block, and air chamber is cylindrical shape
Structure and air chamber side be provided with side room valve；
Inlet port pressure control system includes inlet port pressure controller, inlet port pressure sensor and gas cylinder decompression
Valve, the side room valve of inlet port pressure controller, inlet port pressure sensor and air chamber side is arranged on three pipes of three-way pipe
Lu Shang, where gas cylinder pressure-reducing valve is connected to inlet port pressure controller on pipeline, where the side room valve of air chamber side
Arrival end mass flowmenter is installed on pipeline；
Outlet pressures control system includes outlet port mass flowmeter, port of export gas pressure regulator and outlet side pressure
Force snesor, connection outlet side, port of export gas pressure regulator and pressure sensor are arranged on three pipelines of three-way pipe,
Where outlet port mass flowmeter is arranged on connection outlet side on pipeline；
Vacuum line system includes vavuum pump, and vavuum pump is connected with inlet port pressure controller pipeline and installed on the pipeline
There is vavuum pump valve.
Further, thermostat is constant temperature water bath or thermostat air bath.
Further, the bottom of seal cavity is provided with the bottom tray being fixedly connected with seal cavity, the middle part of bottom tray
Boss is installed with, air chamber is tightly connected by flange with the boss in bottom tray, and air chamber is tightly connected with bottom tray
Flange on open up fluted, sealing ring is provided with groove.
Further, provided with lattice rice circle, sealing ring and guidance tape on the outside of top seal block, lattice rice circle and sealing ring are to envelope cylinder
Internal coal sample upper surface carries out secondary seal, and guidance tape can move up and down top seal block.
A kind of method of testing of the non-linear device for testing permeability coefficient of coal petrography, comprises the following steps：
S1：By in the coal prepared grain press-in die, one-shot forming is cold-pressed, cylinder is made in coal grain, is filled using coring
Put and cylinder coal sample is prepared into required circle ring column type；
S2：The circle ring column moulded coal sample prepared is put into seal cavity, smeared in seal cavity bottom and top
A certain amount of sealant, realizes the end face seal of coal sample to be tested, and top seal block is placed at the top of coal sample；
S3：Seal cavity is put into air chamber, the gas pressure in air chamber is set；
S4：The gas pressure of regulation outflow annulus cylindricality coal sample test specimen, makes test gas under the driving of pressure difference in coal sample
Circular cylinder in flow, after gas infiltration reach steady flow condition after, measurement gas steady flow when gas flow；
S5：The calculating of the non-linear infiltration coefficient of coal petrography：Gas permeation test under the different Gas contents carried out according to early stage
As a result analysis, the mathematical modeling for obtaining coal petrography non linear fluid flow through porous medium is：
In formula：k0For the limit permeability m/s of coal petrography；μ is gas viscosity Pa.s；Δ p is the gas pressure at coal petrography two ends
Gradient；W is coal petrography adsorbed gas scale of construction m3；μapIt is the parameter for characterizing coal body gas flow aperture road feature, reflects coal body infiltration special
Property with the adsorbed gas scale of construction change sensitiveness size.
Had according to specific discharge form：
In formula：Q is specific discharge, 1 atmospheric pressure, t DEG C when, 1m2The gas flow flowed through on area, m3/(m2.d)；α=μap/
μ；λ=Bk0/2μpn, wherein B is unit conversion coefficient, pnFor 1 atmospheric pressure.
Coal sample test specimen is under the driving of methane gas pressure differential, and the gas amount of outflow coal sample is：
In formula：Q is the device in Gas scale of construction m of outflow coal sample3/d；M is the height of coal sample test specimen.
Its boundary condition is：
Due to adsorbanceSubstitution formula (3) can be obtained：
Formula (4) is integrated and can obtained：
It can be obtained by formula (5)：
In experiment, parameter p1、p2, Q and absorption constant a, b directly obtain.Q under any two operating mode is substituted into
λ is disappeared member first into formula (5), function lambda (α) is then set up, and linearization process is carried out to function lambda (α), by function lambda (α)
Approximation αkPlace carries out single order Taylor expansion, has：
Omitting higher-order shear deformation item has
λ(αk)+λ′(αk)(α-αk)≈0 (8)
Therefore have Iteration
The numerical value of parameter alpha can be asked for according to formula (10), accordingly after α numerical value is obtained, substituted under any operating mode
Formula can ask for corresponding λ in (6).
S6：When carrying out experiment that stress-adsorbing coupled effect influences on the non-linear infiltration coefficient of coal sample, by by top
Sealing block is in contact with pressue device, and applying different pressure by pressue device can make coal sample bear corresponding stress,
Non-linear infiltration coefficient of the coal sample under loaded condition can be obtained by repeating above step, obtain stress to the non-linear infiltration of coal sample
The affecting laws of coefficient；
S7：After non-linear infiltration coefficient of the coal sample under loaded condition has been determined, the side room valve of air chamber side is closed,
And keep connection outlet side valve to be opening, the corresponding gas flow of different time is determined, and then hole pumping and mining can be completed
The physical analogy of gas.
Further, the preparation of the moulded coal test specimen in step S1 comprises the following steps：
S11：Coal sample to be measured is crushed, and screens out the coal dust of 0.2~0.25mm particle diameters, a certain amount of coal dust is put into type
In coal mould；Moulded coal mould is cylindrical shape, and the diameter of bottom tray boss is identical with mould internal diameter；Bottom tray centrally disposed one
Cylindrical steel rod；The internal diameter of the coal sample test specimen of a diameter of circle ring column type of cylindrical steel rod.
S12：Using pressue device, the coal dust in mould is suppressed into the coal sample test specimen of size to be measured, dismantled after shaping
Bottom tray, is released from mould moulded coal test specimen by de- original mold conjunction pressue device of signing an undertaking；It is thickness, outside wherein to take off original mold tool
Footpath and cylindric mould identical rigid cylinder；According to raw coal test specimen, then only need to drill through device using coal core, be prepared by raw coal
Into the circle ring column moulded coal sample test specimen needed for experiment.
Further, the end face seal of coal sample is tested in step S2, following steps are specifically included：
Boss and top in the bottom tray of seal cavity, smear a certain amount of sealant, coal sample test specimen are placed on
On the boss, sealing ring will be provided with, the top seal block of lattice rice circle and guidance tape is placed on top cover, then top cover is placed
On coal sample test specimen, cap base flange is set mutually to agree with bottom tray flange, blending bolt fastening, the wherein ring surface of top cover
The sieve aperture being uniformly arranged, the passage of coal sample test specimen is entered as gas.
Further, the gas pressure in air chamber is set in step S3, following steps are specifically included：
S31：Air chamber is placed into constant temperature water bath or thermostat air bath, and by temperature adjustment to design temperature.
S32：The side room valve for being arranged at air chamber side is opened, air chamber is communicated with source of the gas.
S33：Arrival end gas pressure regulator between the side room valve of air chamber side and source of the gas is arranged at by regulation,
It is design pressure to make the gas pressure in air chamber.
Further, operations in step S4, specifically include following steps：
S41：The valve of connection outlet side is opened, makes to be arranged at the hollow sieve aperture on top cover and the gas piping phase of outlet side
It is logical.
S42：By adjusting the port of export gas pressure regulator between the valve of bottom tray and source of the gas, make coal sample outlet
The gas pressure at end is design pressure.
S43：After gas flowing is stable, the gas flow of outlet side and the numerical value of pressure are measured, then changes design pressure
Power, is repeated above step, the non-linear infiltration coefficient of coal petrography can be obtained using the calculation formula in S5.
Further, step S6 is specifically included in the non-linear osmotic coefficient investigating experiment under determining coal sample loaded condition
Following steps：It is connected by top seal block with pressue device, the top seal block is stainless steel, its shape
For cylindrical, side recessing, to set lattice rice circle, sealing ring and guidance tape；The lattice rice circle, sealing ring are located at top
In the middle part of sealing block, its role is to implement secondary seal to coal sample upper surface, it is ensured that the process moved in top seal block
In, the air-tightness of coal sample end face；The guidance tape is quality of rubber materials, and it is contacted with top seal block, plenum surface, it is ensured that
The moving direction of top block is axially.
The test philosophy of the present invention：
The purpose of the present invention test non-linear infiltration coefficient of coal petrography is exactly to obtain the Adsorption Effect factor and the pole of coal sample test specimen
Limit the numerical value of permeability.Bottom tray and top wherein by the axial end of circle ring column moulded coal sample test specimen by sealed cylinder block
Sealing block, top cover, implement encapsulation process, so as to avoid the gas in air chamber from entering from coal sample test specimen axial end with reference to sealant
Enter coal sample, influence experimental results.Then the sealed cylinder block that will be equipped with coal sample is connected with the air chamber with flange, and uses spiral shell
The air-tightness of bolt fastener guarantee air chamber.Before test, the original state of coal sample test specimen is set；Vavuum pump is opened, vacuum pump valve is opened
Door, is de-gassed to coal sample test specimen, and to eliminate influence of the coal sample absorption air to experimental result under normal pressure, the time is 24h.Survey
During examination, test gas cylinders valve is opened, gas flows under the driving of pressure difference in coal sample test specimen, is arranged at the air chamber port of export
Mass flowmenter since experiment just record gas flow, gas to be tested reaches stable state in coal sample test specimen internal flow
Afterwards, the error in reading of two pressure sensors is less than 5%, the reading of record now.Coal sample arrival end and the port of export are recorded simultaneously
Gas pressure value.Change the original state of coal sample test specimen, repeat above step, and record corresponding experiment parameter.
The beneficial effects of the present invention are：
The present invention proposes a kind of non-linear device for testing permeability coefficient of coal petrography and method, passes through the seepage flow under 2 operating modes
Test experiments can obtain the corresponding non-linear infiltration coefficient of coal rock specimen, the test of the non-linear infiltration coefficient of coal petrography of the invention
Method and apparatus has advantages below compared with conventional experimental method：
1st, the distinctive annulus cylindricality coal sample of the non-linear device for testing permeability coefficient of coal petrography of the present invention uses distinctive top, bottom plate
Fitted seal agent completes the axial seal of coal sample test specimen, and coal sample test specimen annular outer surface is contacted with seal cavity, realized about
Sealing under the strain of beam ring shape, meets the theoretical experiment basis of Porous Media.
2nd, the non-linear device for testing permeability coefficient of coal petrography of the present invention passes through the sieve aperture that is arranged on seal cavity annular surface
Gas is uniformly entered to coal sample test specimen；Meanwhile, it can provide stable gas for placing the air chamber of coal sample test specimen
Source, and the pressure of its internal gas can be adjusted by pressure controller, be established for research GAS Flow Theory in Coal Seam
Basis.
3rd, the computational methods of the non-linear device for testing permeability coefficient of coal petrography that the present invention is provided using non linear fluid flow through porous medium model as
Basis, has taken into full account decay characteristics of the gas pressure inside coal rock specimen, can accurately describe the adsorpting characteristic pair of coal
The influence that gas is migrated in coal body.
4th, the non-linear device for testing permeability coefficient of coal petrography that the present invention is provided can also carry out coal mine down-hole drilling mash gas extraction
Simulated experiment, it is flowed in coal sample test specimen by being filled with a certain amount of gas, observe its gas flow variation characteristic, can
Extraction engineering design is carried out for colliery, and foundation is provided.
Brief description of the drawings
In order that the purpose of the present invention, technical scheme and beneficial effect are clearer, the present invention provides drawings described below and carried out
Explanation：
Fig. 1 seals schematic diagram for the coal sample of the non-linear device for testing permeability coefficient of coal petrography of the present invention；
Fig. 2 is the system diagram of the non-linear device for testing permeability coefficient of coal petrography of the present invention.
Embodiment
Below in conjunction with accompanying drawing, the preferred embodiments of the present invention are described in detail.
Reference in Figure of description includes：
Top seal block 11, top cover 12, side room valve 13, bottom tray 14, flange 15, connection outlet side 16, groove
17th, seal cavity 18, sieve aperture 19, air chamber 20.
The non-linear device for testing permeability coefficient of coal petrography as shown in Figure 1 and Figure 2, including coal sample sealing device, inlet port pressure
Control system, outlet pressures control system and vacuum line system, coal sample sealing device include thermostat and air chamber 20, constant temperature
Groove is constant temperature water bath or thermostat air bath.Air chamber 20 is arranged in thermostat, is provided with air chamber 20 close with air chamber 20
The seal cavity 18 of connection is sealed, the bottom of seal cavity 18 is provided with the bottom tray 14 being fixedly connected with seal cavity 18, bottom
The middle part of pallet 14 is installed with boss, and air chamber 20 is tightly connected by flange 15 with the boss in bottom tray 14, air chamber
Opened up on 20 flanges 15 being tightly connected with bottom tray 14 and sealing ring is provided with fluted 17, groove 17.Seal cavity 18
Middle part is equipped with hollow cylindric steel pole, and it is connection outlet side 16, sealing that the bottom of steel pole, which passes the part of seal cavity 18,
The upper seal of cavity 18, which is provided with the top cover 12 of bending, the ring surface of top cover 12, is uniformly arranged some sieve apertures 19, top cover
12 tops are provided with top seal block 11, the outside of top seal block 11 provided with lattice rice circle, sealing ring and guidance tape, lattice rice circle and
Sealing ring carries out secondary seal to the coal sample upper surface in envelope cylinder body, and guidance tape can move up and down top seal block 11.
Air chamber 20 is that the columnar structured and side of air chamber 20 is provided with side room valve 13.
Inlet port pressure control system includes inlet port pressure controller, inlet port pressure sensor and gas cylinder decompression
Valve, the side room valve 13 of inlet port pressure controller, inlet port pressure sensor and the side of air chamber 20 is arranged on the three of three-way pipe
On individual pipeline, where gas cylinder pressure-reducing valve is connected to inlet port pressure controller on pipeline, the side room valve of the side of air chamber 20
Arrival end mass flowmenter is installed on pipeline where 13.
Outlet pressures control system includes outlet port mass flowmeter, port of export gas pressure regulator and outlet side pressure
Force snesor, connection outlet side 16, port of export gas pressure regulator and pressure sensor are arranged on three pipelines of three-way pipe
On, outlet port mass flowmeter is arranged on the connection place pipeline of outlet side 16.
Vacuum line system includes vavuum pump, and vavuum pump is connected with inlet port pressure controller pipeline and installed on the pipeline
There is vavuum pump valve.
A kind of method of testing of the non-linear device for testing permeability coefficient of coal petrography, comprises the following steps：
S1：Coal sample test specimen is sealed under axial strain constraint；Specifically include following steps：
S11：By sealant coating in the boss of the bottom tray 14 of seal cavity 18 and the upper surface of coal sample；
S12：On the boss that coal sample test specimen is placed on to the bottom tray 14 of seal cavity 18 for having smeared sealant, and will top
Lid 12 is connected with the bottom tray 14 of seal cavity 18, and reagent to be sealed reacts, and utilizes the bottom of bolt fit sealing cavity 18
The adpting flange 15 of pallet 14 and top cover 12.The purposes that seal cavity 18 combines sealant is that coal sample test specimen axially should in constraint
Under conditions of change, the top cover 12 of seal cavity 18 is implemented annular strain to coal sample test specimen simultaneously and constrain；The top cover of seal cavity 18
The gas in uniform sieve aperture 19, air chamber 20 is provided with around 12 annular to be entered by the sieve aperture 19 in coal sample test specimen
Portion, the passage flowed as gas；The sealant is that epoxy resin and acetone are mixed.
S13：The seal cavity 18 that will be equipped with coal sample test specimen is put into air chamber 20, and uses bolt by the bottom of seal cavity 18
The flange 15 of pallet 14 is connected with the flange 15 of air chamber 20, and fastens.The end face of 20 flange of air chamber 15 carves certain depth and thickness
Annular groove 17, an annular rubber ring is put into the groove 17 as seal washer, when bolt is fastened, the end face of two flange 15
By crush seal packing ring formation sealed environment, so as to completely cut off the leakage of gas in air chamber 20.
S14：By inlet gas pressure controller numerical value preparation test design parameter, and implication will be entered by pipeline and threeway
Body pressure controller is connected with the side room valve 13 of pressure sensor, the side of air chamber 20；
S2：The air chamber 20 that will be equipped with coal sample test specimen is put into water bath with thermostatic control, and it is default to keep infiltration temperature in coal sample test specimen
Temperature value；The constant water bath box is used to keep the temperature that gas permeates in coal sample in experimentation consistent.
S3：Before experiment, vavuum pump is opened, vavuum pump valve is opened, coal sample is de-gassed, to eliminate coal sample under normal pressure
Influence of the air to experimental result is adsorbed, the time is 24h.The gas pressure for adjusting and flowing in and out inside coal sample test specimen is opened,
Test gas is set, in being flowed in coal sample test specimen, gas infiltration is reached steady flow condition under the driving of pressure difference, measure gas
Gas infiltration capacity during stable percolation；And the inlet port pressure value and outlet pressures value of measurement coal sample test specimen；
S4：Pass through mass flow meter measurement coal sample test specimen port of export gas flow；
The coal sample test specimen measurement specifically includes following steps：
S41：Two gas pressure regulators are arranged at the two ends of air chamber 20 respectively, and implication will be entered by threeway and pipeline
Body pressure controller is connected with the side room valve 13 of pressure sensor and the side of air chamber 20；By threeway and pipeline by exit gas
Pressure controller is connected with mass flowmenter and pressure sensor
S42：Inlet gas pressure controller is connected with the decompression valve outlet and vavuum pump of gas cylinder by threeway, and
The entirety of air chamber 20 that will be equipped with coal sample test specimen is put into constant water bath box, and sets experimental temperature；Temperature typically takes 30 degree.It is real
Before testing, open vavuum pump and coal sample is de-gassed, to eliminate influence of the coal sample absorption air to experimental result, time under normal pressure
For 24h.
S43：Keep the side room valve 13 of the outlet of air chamber 20 side to close, then open gas cylinder decompression threshold switch, make
Gas is flowed under the driving of pressure difference in coal sample test specimen, and side is exported after after coal sample test specimen adsorbed gas 96h, opening air chamber 20
Side room valve 13, mass flowmenter and pressure sensor power supply, after pressure sensor readings error in reading be less than 5% after,
I.e. it is believed that gas flowing reaches stable state, reading quality flowmeter and import, outlet pressure sensor registration.
S5：It is non-to calculate coal petrography as follows according to coal sample test specimen inlet port pressure value, outlet pressures value and flow velocity
Linear infiltration coefficient：
The analysis of gas permeation test experiments result under the different Gas contents carried out according to early stage, obtains coal petrography non-linear
The mathematical modeling of seepage flow is：
In formula：k0For the limit permeability m/s of coal petrography；μ is gas viscosity Pa.s；Δ p is the gas pressure at coal petrography two ends
Gradient；W is coal petrography adsorbed gas scale of construction m3；μapIt is the parameter for characterizing coal body gas flow aperture road feature, reflects coal body infiltration special
Property with the adsorbed gas scale of construction change sensitiveness size.The physical significance of equation (1) is：Filtrational resistance is made up of two parts, and first
Part is viscous drag, and it is directly proportional to the first power of percolation flow velocity；Part II is additional drag caused by suction-operated, it
It is directly proportional to the absorption tolerance in coal petrography, macroscopically it is considered that being the increase in the viscosity of gas.Work as w=0, equation (1) is
Darcy Law flow equations, therefore the flowing of gas depends not only on the size of pressure difference in coal petrography, while also by its internal absorption
The influence of tolerance.
The specific discharge form proposed with reference to Zhou Shining, then have
In formula：Q is specific discharge, 1 atmospheric pressure, t DEG C when, 1m2The gas flow flowed through on area, m3/(m2.d)；A=μap/
μ；λ=Bk0/2μpn, wherein B is unit conversion coefficient, pnFor 1 atmospheric pressure.
The test essence of the non-linear infiltration coefficient of coal petrography is exactly parameter alpha and λ that coal sample is obtained by the method tested.We
Coal sample test specimen in case is under the driving of methane gas pressure differential, and the gas amount of outflow coal sample is：
In formula：Q is the device in Gas scale of construction of outflow coal sample, m3/d；M is the height of coal sample test specimen.
Its boundary condition is：
Due to adsorbanceSubstitution formula (3) can be obtained：
Formula (4) is integrated and can obtained：
It can be obtained by formula (5)：
In experiment, parameter p1、p2, Q and absorption constant a, b directly obtain.Therefore, it is very easy to according to two differences
Condition calculating go out parameter alpha and λ numerical value.Widely used Newton iteration in convenient value analysis is used in this programme
Method, i.e.,：Q under any two operating mode is updated in formula (5) λ disappeared member first, then set up function lambda (α), and to function lambda
(α) carries out linearization process, by the approximation α of function lambda (α)kPlace carries out single order Taylor expansion, has：
Omitting higher-order shear deformation item has
λ(αk)+λ′(αk)(α-αk)≈0 (8)
Therefore have Iteration
The numerical value of parameter alpha can be asked for according to formula (10), accordingly after α numerical value is obtained, substituted under any operating mode
Formula can ask for corresponding λ in (6).
Finally illustrate, preferred embodiment above is merely illustrative of the technical solution of the present invention and unrestricted, although logical
Cross above preferred embodiment the present invention is described in detail, it is to be understood by those skilled in the art that can be
Various changes are made to it in form and in details, without departing from claims of the present invention limited range.
Claims (10)
1. a kind of non-linear device for testing permeability coefficient of coal petrography, it is characterised in that including coal sample sealing device, inlet port pressure control
System processed, outlet pressures control system and vacuum line system, the coal sample sealing device include thermostat and air chamber, described
Air chamber is arranged in thermostat, is provided with the air chamber in the seal cavity being connected with air chamber sealing, the seal cavity
Portion is equipped with hollow cylindric steel pole, and it is connection outlet side that the bottom of the steel pole, which passes the part of seal cavity, described close
The upper seal of envelope cavity is provided with the top cover of bending, the ring surface of the top cover and is uniformly arranged some sieve apertures, the top
Portion is covered provided with top seal block, the air chamber is provided with side room valve for columnar structured and air chamber side；
The inlet port pressure control system includes inlet port pressure controller, inlet port pressure sensor and gas cylinder decompression
Valve, the inlet port pressure controller, inlet port pressure sensor and the side room valve of air chamber side are arranged on the three of three-way pipe
On individual pipeline, where the gas cylinder pressure-reducing valve is connected to inlet port pressure controller on pipeline, the side of the air chamber side
Arrival end mass flowmenter is installed on the pipeline where the valve of room；
The outlet pressures control system includes outlet port mass flowmeter, port of export gas pressure regulator and outlet side pressure
Force snesor, the connection outlet side, port of export gas pressure regulator and pressure sensor are arranged on three pipes of three-way pipe
Lu Shang, where the outlet port mass flowmeter is arranged on connection outlet side on pipeline；
The vacuum line system includes vavuum pump, and the vavuum pump is connected with inlet port pressure controller pipeline and on the pipeline
Vavuum pump valve is installed.
2. the non-linear device for testing permeability coefficient of coal petrography as claimed in claim 1, it is characterised in that the thermostat is constant temperature
Water bath or thermostat air bath.
3. the non-linear device for testing permeability coefficient of coal petrography as claimed in claim 2, it is characterised in that the bottom of the seal cavity
Portion is provided with the middle part of the bottom tray being fixedly connected with seal cavity, the bottom tray and is installed with boss, the air chamber
It is tightly connected, is offered on the flange that the air chamber is tightly connected with bottom tray recessed with the boss in bottom tray by flange
Sealing ring is provided with groove, the groove.
4. the non-linear device for testing permeability coefficient of coal petrography as claimed in claim 3, it is characterised in that the top seal block
Outside carries out two provided with lattice rice circle, sealing ring and guidance tape, the lattice rice circle and sealing ring to the coal sample upper surface in envelope cylinder body
Secondary sealing, the guidance tape can move up and down top seal block.
5. a kind of method of testing of the non-linear device for testing permeability coefficient of coal petrography, it is characterised in that comprise the following steps：
S1：By in the coal prepared grain press-in die, one-shot forming is cold-pressed, cylinder is made in coal grain, will using coring device
Cylinder coal sample is prepared into required circle ring column type；
S2：The circle ring column moulded coal sample prepared is put into seal cavity, smears certain in seal cavity bottom and top
The sealant of amount, realizes the end face seal of coal sample to be tested, and top seal block is placed at the top of coal sample；
S3：Seal cavity is put into air chamber, the gas pressure in air chamber is set；
S4：The gas pressure of regulation outflow annulus cylindricality coal sample test specimen, makes ring of the test gas in coal sample under the driving of pressure difference
Flowed in shape cylinder, after gas infiltration reaches steady flow condition, gas flow during measurement gas steady flow；
S5：The calculating of the non-linear infiltration coefficient of coal petrography：Gas permeation test result under the different Gas contents carried out according to early stage
Analysis, the mathematical modeling for obtaining coal petrography non linear fluid flow through porous medium is：
<mrow>
<mfrac>
<msub>
<mi>k</mi>
<mn>0</mn>
</msub>
<mi>&mu;</mi>
</mfrac>
<mfrac>
<mrow>
<mi>&Delta;</mi>
<mi>p</mi>
</mrow>
<mrow>
<mi>&Delta;</mi>
<mi>x</mi>
</mrow>
</mfrac>
<mo>=</mo>
<mo>-</mo>
<mi>v</mi>
<mrow>
<mo>(</mo>
<mn>1</mn>
<mo>+</mo>
<mfrac>
<msub>
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<mrow>
<mi>a</mi>
<mi>p</mi>
</mrow>
</msub>
<mi>&mu;</mi>
</mfrac>
<mi>w</mi>
<mo>)</mo>
</mrow>
<mo>-</mo>
<mo>-</mo>
<mo>-</mo>
<mrow>
<mo>(</mo>
<mn>1</mn>
<mo>)</mo>
</mrow>
</mrow>
In formula：k0For the limit permeability m/s of coal petrography；μ is gas viscosity Pa.s；Δ p is the gas pressure gradient at coal petrography two ends；w
For coal petrography adsorbed gas scale of construction m3；μapIt is the parameter for characterizing coal body gas flow aperture road feature, reflects coal body Penetration Signature with suction
The sensitiveness size that attached gas flow changes.
Had according to specific discharge form：
<mrow>
<mi>q</mi>
<mo>=</mo>
<mfrac>
<mrow>
<mo>-</mo>
<mn>2</mn>
<mi>&lambda;</mi>
<mi>p</mi>
</mrow>
<mrow>
<mo>(</mo>
<mn>1</mn>
<mo>+</mo>
<mi>&alpha;</mi>
<mi>w</mi>
<mo>)</mo>
</mrow>
</mfrac>
<mfrac>
<mrow>
<mi>d</mi>
<mi>p</mi>
</mrow>
<mrow>
<mi>d</mi>
<mi>r</mi>
</mrow>
</mfrac>
<mo>-</mo>
<mo>-</mo>
<mo>-</mo>
<mrow>
<mo>(</mo>
<mn>2</mn>
<mo>)</mo>
</mrow>
</mrow>
In formula：Q is specific discharge, 1 atmospheric pressure, t DEG C when, 1m2The gas flow flowed through on area, m3/(m2.d)；A=μap/μ；λ=
Bk0/2μpn, wherein B is unit conversion coefficient, pnFor 1 atmospheric pressure.
Coal sample test specimen is under the driving of methane gas pressure differential, and the gas amount of outflow coal sample is：
<mrow>
<mi>Q</mi>
<mo>=</mo>
<mn>2</mn>
<mi>&pi;</mi>
<mi>r</mi>
<mi>m</mi>
<mfrac>
<mrow>
<mo>-</mo>
<mn>2</mn>
<mi>&lambda;</mi>
<mi>p</mi>
</mrow>
<mrow>
<mo>(</mo>
<mn>1</mn>
<mo>+</mo>
<mi>&alpha;</mi>
<mi>w</mi>
<mo>)</mo>
</mrow>
</mfrac>
<mfrac>
<mrow>
<mi>d</mi>
<mi>p</mi>
</mrow>
<mrow>
<mi>d</mi>
<mi>r</mi>
</mrow>
</mfrac>
<mo>-</mo>
<mo>-</mo>
<mo>-</mo>
<mrow>
<mo>(</mo>
<mn>3</mn>
<mo>)</mo>
</mrow>
</mrow>
In formula：Q is the device in Gas scale of construction m of outflow coal sample3/d；M is the height of coal sample test specimen.
Its boundary condition is：
Due to adsorbanceSubstitution formula (3) can be obtained：
<mrow>
<mi>Q</mi>
<mo>=</mo>
<mn>2</mn>
<mi>&pi;</mi>
<mi>r</mi>
<mi>m</mi>
<mfrac>
<mrow>
<mo>-</mo>
<mn>2</mn>
<mi>&lambda;</mi>
<mi>p</mi>
</mrow>
<mrow>
<mo>(</mo>
<mn>1</mn>
<mo>+</mo>
<mi>&alpha;</mi>
<mfrac>
<mrow>
<mi>a</mi>
<mi>b</mi>
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</mrow>
<mrow>
<mn>1</mn>
<mo>+</mo>
<mi>b</mi>
<mi>p</mi>
</mrow>
</mfrac>
<mo>)</mo>
</mrow>
</mfrac>
<mfrac>
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<mi>d</mi>
<mi>p</mi>
</mrow>
<mrow>
<mi>d</mi>
<mi>r</mi>
</mrow>
</mfrac>
<mo>-</mo>
<mo>-</mo>
<mo>-</mo>
<mrow>
<mo>(</mo>
<mn>4</mn>
<mo>)</mo>
</mrow>
</mrow>
Formula (4) is integrated and can obtained：
<mrow>
<mfrac>
<mi>Q</mi>
<mn>2</mn>
</mfrac>
<msubsup>
<mo>&Integral;</mo>
<msub>
<mi>R</mi>
<mn>1</mn>
</msub>
<msub>
<mi>R</mi>
<mn>2</mn>
</msub>
</msubsup>
<mfrac>
<mn>1</mn>
<mi>r</mi>
</mfrac>
<mi>d</mi>
<mi>r</mi>
<mo>=</mo>
<mo>-</mo>
<mn>2</mn>
<mi>&lambda;</mi>
<mi>&pi;</mi>
<mi>m</mi>
<msubsup>
<mo>&Integral;</mo>
<msub>
<mi>p</mi>
<mn>1</mn>
</msub>
<msub>
<mi>p</mi>
<mn>2</mn>
</msub>
</msubsup>
<mfrac>
<mi>p</mi>
<mrow>
<mn>1</mn>
<mo>+</mo>
<mrow>
<mo>(</mo>
<mi>&alpha;</mi>
<mi>a</mi>
<mo>)</mo>
</mrow>
<mi>b</mi>
<mi>p</mi>
</mrow>
</mfrac>
<mo>+</mo>
<mfrac>
<mrow>
<msup>
<mi>bp</mi>
<mn>2</mn>
</msup>
</mrow>
<mrow>
<mn>1</mn>
<mo>+</mo>
<mrow>
<mo>(</mo>
<mi>&alpha;</mi>
<mi>a</mi>
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</mrow>
<mi>b</mi>
<mi>p</mi>
</mrow>
</mfrac>
<mi>d</mi>
<mi>p</mi>
<mo>-</mo>
<mo>-</mo>
<mo>-</mo>
<mrow>
<mo>(</mo>
<mn>5</mn>
<mo>)</mo>
</mrow>
</mrow>
It can be obtained by formula (5)：
<mrow>
<mtable>
<mtr>
<mtd>
<mrow>
<mfrac>
<mi>Q</mi>
<mn>2</mn>
</mfrac>
<mi>l</mi>
<mi>n</mi>
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<mn>1</mn>
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<mo>=</mo>
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<mrow>
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<mn>2</mn>
<mi>&lambda;</mi>
<mi>&pi;</mi>
<mi>m</mi>
</mrow>
<msup>
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<mi>b</mi>
<mo>+</mo>
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<mi>a</mi>
<mi>b</mi>
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</mrow>
<mn>2</mn>
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<mo>{</mo>
<mo>&lsqb;</mo>
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<mi>p</mi>
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<mi>l</mi>
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</mrow>
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<msub>
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</msub>
<msub>
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<mn>2</mn>
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</mrow>
</mtd>
</mtr>
</mtable>
<mo>-</mo>
<mo>-</mo>
<mo>-</mo>
<mrow>
<mo>(</mo>
<mn>6</mn>
<mo>)</mo>
</mrow>
</mrow>
In experiment, parameter p1、p2, Q and absorption constant a, b directly obtain.Q under any two operating mode is updated to formula
(5) λ is disappeared member first in, function lambda (α) is then set up, and linearization process is carried out to function lambda (α), by the approximate of function lambda (α)
Value αkPlace carries out single order Taylor expansion, has：
<mrow>
<mn>0</mn>
<mo>=</mo>
<mi>&lambda;</mi>
<mrow>
<mo>(</mo>
<mi>&alpha;</mi>
<mo>)</mo>
</mrow>
<mo>=</mo>
<mi>&lambda;</mi>
<mrow>
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<msub>
<mi>&alpha;</mi>
<mi>k</mi>
</msub>
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</mrow>
<mo>+</mo>
<msup>
<mi>&lambda;</mi>
<mo>&prime;</mo>
</msup>
<mrow>
<mo>(</mo>
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<mi>&alpha;</mi>
<mi>k</mi>
</msub>
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</mrow>
<mrow>
<mo>(</mo>
<mi>&alpha;</mi>
<mo>-</mo>
<msub>
<mi>&alpha;</mi>
<mi>k</mi>
</msub>
<mo>)</mo>
</mrow>
<mo>+</mo>
<mfrac>
<mrow>
<msup>
<mi>&lambda;</mi>
<mrow>
<mo>&prime;</mo>
<mo>&prime;</mo>
</mrow>
</msup>
<mrow>
<mo>(</mo>
<mi>&xi;</mi>
<mo>)</mo>
</mrow>
</mrow>
<mrow>
<mn>2</mn>
<mo>!</mo>
</mrow>
</mfrac>
<msup>
<mrow>
<mo>(</mo>
<mi>&alpha;</mi>
<mo>-</mo>
<msub>
<mi>&alpha;</mi>
<mi>k</mi>
</msub>
<mo>)</mo>
</mrow>
<mn>2</mn>
</msup>
<mo>-</mo>
<mo>-</mo>
<mo>-</mo>
<mrow>
<mo>(</mo>
<mn>7</mn>
<mo>)</mo>
</mrow>
</mrow>
Omitting higher-order shear deformation item has
λ(αk)+λ′(αk)(α-αk)≈0 (8)
<mrow>
<mi>&alpha;</mi>
<mo>&ap;</mo>
<msub>
<mi>&alpha;</mi>
<mi>k</mi>
</msub>
<mo>-</mo>
<mfrac>
<mrow>
<mi>&lambda;</mi>
<mrow>
<mo>(</mo>
<msub>
<mi>&alpha;</mi>
<mi>k</mi>
</msub>
<mo>)</mo>
</mrow>
</mrow>
<mrow>
<msup>
<mi>&lambda;</mi>
<mo>&prime;</mo>
</msup>
<mrow>
<mo>(</mo>
<msub>
<mi>&alpha;</mi>
<mi>k</mi>
</msub>
<mo>)</mo>
</mrow>
</mrow>
</mfrac>
<mo>,</mo>
<msup>
<mi>&lambda;</mi>
<mo>&prime;</mo>
</msup>
<mrow>
<mo>(</mo>
<msub>
<mi>&alpha;</mi>
<mi>k</mi>
</msub>
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</mrow>
<mo>&NotEqual;</mo>
<mn>0</mn>
<mo>-</mo>
<mo>-</mo>
<mo>-</mo>
<mrow>
<mo>(</mo>
<mn>9</mn>
<mo>)</mo>
</mrow>
</mrow>
Therefore have Iteration
<mrow>
<msub>
<mi>&alpha;</mi>
<mrow>
<mi>k</mi>
<mo>+</mo>
<mn>1</mn>
</mrow>
</msub>
<mo>&ap;</mo>
<msub>
<mi>&alpha;</mi>
<mi>k</mi>
</msub>
<mo>-</mo>
<mfrac>
<mrow>
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<mrow>
<mo>(</mo>
<msub>
<mi>&alpha;</mi>
<mi>k</mi>
</msub>
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</mrow>
</mrow>
<mrow>
<msup>
<mi>&lambda;</mi>
<mo>&prime;</mo>
</msup>
<mrow>
<mo>(</mo>
<msub>
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<mi>k</mi>
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</mrow>
</mrow>
</mfrac>
<mo>-</mo>
<mo>-</mo>
<mo>-</mo>
<mrow>
<mo>(</mo>
<mn>10</mn>
<mo>)</mo>
</mrow>
</mrow>
The numerical value of parameter alpha can be asked for according to formula (10), accordingly after α numerical value is obtained, the formula (6) substituted under any operating mode
In can ask for corresponding λ.
S6：When carrying out experiment that stress-adsorbing coupled effect influences on the non-linear infiltration coefficient of coal sample, by by top seal
Block is in contact with pressue device, and applying different pressure by pressue device can make coal sample bear corresponding stress, repeats
Above step can obtain non-linear infiltration coefficient of the coal sample under loaded condition, obtain stress to the non-linear infiltration coefficient of coal sample
Affecting laws；
S7：After non-linear infiltration coefficient of the coal sample under loaded condition has been determined, the side room valve of air chamber side is closed, and is protected
The valve for holding connection outlet side is opening, determines the corresponding gas flow of different time, and then can complete hole pumping and mining watt
This physical analogy.
6. the method for testing of the non-linear device for testing permeability coefficient of coal petrography as claimed in claim 5, it is characterised in that step S1
In the preparation of moulded coal test specimen comprise the following steps：
S11：Coal sample to be measured is crushed, and screens out the coal dust of 0.2~0.25mm particle diameters, a certain amount of coal dust is put into moulded coal mould
In tool；Moulded coal mould is cylindrical shape, and the diameter of bottom tray boss is identical with mould internal diameter, the centrally disposed cylinder of bottom tray
Shape steel pole, the internal diameter of the coal sample test specimen of a diameter of circle ring column type of cylindrical steel rod.
S12：Using pressue device, the coal dust in mould is suppressed into the coal sample test specimen of size to be measured, bottom is dismantled after shaping
Pallet, moulded coal test specimen by de- original mold conjunction pressue device of signing an undertaking is released from mould, wherein, it is thickness, external diameter to take off original mold tool
With cylindric mould identical rigid cylinder；According to raw coal test specimen, then only need to drill through device using coal core, raw coal is prepared into
Circle ring column moulded coal sample test specimen needed for experiment.
7. the method for testing of the non-linear device for testing permeability coefficient of coal petrography as claimed in claim 6, it is characterised in that step S2
The end face seal of middle test coal sample, specifically includes following steps：
Boss and top in the bottom tray of seal cavity, smear a certain amount of sealant, coal sample test specimen are placed on into this convex
On platform, sealing ring will be provided with, the top seal block of lattice rice circle and guidance tape is placed on top cover, then top cover is placed on into coal
On sample test specimen, cap base flange is set mutually to agree with bottom tray flange, blending bolt fastening.
8. the method for testing of the non-linear device for testing permeability coefficient of coal petrography as claimed in claim 7, it is characterised in that step S3
Gas pressure in middle setting air chamber, specifically includes following steps：
S31：Air chamber is placed into constant temperature water bath or thermostat air bath, and by temperature adjustment to design temperature.
S32：The side room valve for being arranged at air chamber side is opened, air chamber is communicated with source of the gas.
S33：Arrival end gas pressure regulator between the side room valve of air chamber side and source of the gas is arranged at by regulation, makes gas
Indoor gas pressure is design pressure.
9. the method for testing of the non-linear device for testing permeability coefficient of coal petrography as claimed in claim 8, it is characterised in that step S4
Middle operations, specifically include following steps：
S41：The valve of connection outlet side is opened, makes to be arranged at the hollow sieve aperture on top cover and is communicated with the gas piping of outlet side.
S42：By adjusting the port of export gas pressure regulator between the valve of bottom tray and source of the gas, make coal sample outlet side
Gas pressure is design pressure.
S43：After gas flowing is stable, the gas flow of outlet side and the numerical value of pressure are measured, then changes design pressure, weight
Multiple above step, the non-linear infiltration coefficient of coal petrography can be obtained using the calculation formula in S5.
10. the method for testing of the non-linear device for testing permeability coefficient of coal petrography as claimed in claim 9, it is characterised in that step
S6 specifically includes following steps in the non-linear osmotic coefficient investigating experiment under determining coal sample loaded condition：
It is connected by top seal block with pressue device, top seal block is stainless steel, and it is shaped as cylinder
Shape, side recessing, to set lattice rice circle, sealing ring and guidance tape；The lattice rice circle, sealing ring are located at top seal block
Middle part, its role is to implement secondary seal to coal sample upper surface, it is ensured that during top seal block is moved, coal sample end
The air-tightness in face；The guidance tape is quality of rubber materials, and it is contacted with top seal block, plenum surface, it is ensured that top block
Moving direction for axially.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201710395375.6A CN107101928A (en) | 2017-05-27 | 2017-05-27 | A kind of non-linear device for testing permeability coefficient of coal petrography and method |
Applications Claiming Priority (1)
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| CN107976395A (en) * | 2017-12-21 | 2018-05-01 | 西安科技大学 | CO in loose coal2Osmosis system measurement device and its method |
| CN108303509A (en) * | 2018-01-05 | 2018-07-20 | 中煤科工集团重庆研究院有限公司 | The amendment that coal-bed gas free amount calculates and remaining absorption amount determining device and method |
| CN108444882A (en) * | 2018-01-17 | 2018-08-24 | 南方电网科学研究院有限责任公司 | A kind of experiment porch for measuring deep-well exhaust efficiency |
| CN109991144A (en) * | 2017-12-31 | 2019-07-09 | 中国人民解放军63653部队 | Epoxy sealing type measuring device for gas permeability |
| CN110361265A (en) * | 2019-08-07 | 2019-10-22 | 中煤科工集团重庆研究院有限公司 | After mining reactive polymer material slip casting with the characteristic method for continuously measuring and device of coal petrography mixture |
| CN111307687A (en) * | 2020-03-05 | 2020-06-19 | 中煤科工集团重庆研究院有限公司 | Method for evaluating permeability and strength of bonding of high polymer material and coal rock mass |
| CN112903566A (en) * | 2021-03-02 | 2021-06-04 | 东北石油大学 | Full-diameter core radial permeability test tool |
| CN113358480A (en) * | 2021-05-13 | 2021-09-07 | 太原理工大学 | Coal rock mechanical test device and test method |
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| CN107748127A (en) * | 2017-11-20 | 2018-03-02 | 中南大学 | Rock crusher band seepage flow test device |
| CN107976395A (en) * | 2017-12-21 | 2018-05-01 | 西安科技大学 | CO in loose coal2Osmosis system measurement device and its method |
| CN107976395B (en) * | 2017-12-21 | 2024-05-03 | 西安科技大学 | CO in bulk coal2Osmotic system measuring device and method thereof |
| CN109991144A (en) * | 2017-12-31 | 2019-07-09 | 中国人民解放军63653部队 | Epoxy sealing type measuring device for gas permeability |
| CN108303509A (en) * | 2018-01-05 | 2018-07-20 | 中煤科工集团重庆研究院有限公司 | The amendment that coal-bed gas free amount calculates and remaining absorption amount determining device and method |
| CN108444882A (en) * | 2018-01-17 | 2018-08-24 | 南方电网科学研究院有限责任公司 | A kind of experiment porch for measuring deep-well exhaust efficiency |
| CN110361265B (en) * | 2019-08-07 | 2021-10-08 | 重庆安标检测研究院有限公司 | Method and device for continuously measuring characteristics of mixture of mine reaction type high polymer material and coal rock after grouting |
| CN110361265A (en) * | 2019-08-07 | 2019-10-22 | 中煤科工集团重庆研究院有限公司 | After mining reactive polymer material slip casting with the characteristic method for continuously measuring and device of coal petrography mixture |
| CN111307687A (en) * | 2020-03-05 | 2020-06-19 | 中煤科工集团重庆研究院有限公司 | Method for evaluating permeability and strength of bonding of high polymer material and coal rock mass |
| CN111307687B (en) * | 2020-03-05 | 2022-07-19 | 中煤科工集团重庆研究院有限公司 | Method for evaluating permeability and strength of bonding of high polymer material and coal rock mass |
| CN112903566A (en) * | 2021-03-02 | 2021-06-04 | 东北石油大学 | Full-diameter core radial permeability test tool |
| CN113358480A (en) * | 2021-05-13 | 2021-09-07 | 太原理工大学 | Coal rock mechanical test device and test method |
| CN113358480B (en) * | 2021-05-13 | 2022-08-05 | 太原理工大学 | Coal rock mechanical test device and test method |
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