CN109060507A - Un-uniformly distributed, which acts on lower coal bed gas extraction, influences roof deformation test method - Google Patents

Un-uniformly distributed, which acts on lower coal bed gas extraction, influences roof deformation test method Download PDF

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CN109060507A
CN109060507A CN201810948239.XA CN201810948239A CN109060507A CN 109060507 A CN109060507 A CN 109060507A CN 201810948239 A CN201810948239 A CN 201810948239A CN 109060507 A CN109060507 A CN 109060507A
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test specimen
coal
plate
cavity
transparent box
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CN109060507B (en
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孙路路
刘义鑫
王刚
于岩斌
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Shandong University of Science and Technology
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01NINVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N3/00Investigating strength properties of solid materials by application of mechanical stress
    • G01N3/02Details
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01NINVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N1/00Sampling; Preparing specimens for investigation
    • G01N1/28Preparing specimens for investigation including physical details of (bio-)chemical methods covered elsewhere, e.g. G01N33/50, C12Q
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01NINVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N3/00Investigating strength properties of solid materials by application of mechanical stress
    • G01N3/08Investigating strength properties of solid materials by application of mechanical stress by applying steady tensile or compressive forces
    • G01N3/10Investigating strength properties of solid materials by application of mechanical stress by applying steady tensile or compressive forces generated by pneumatic or hydraulic pressure
    • G01N3/12Pressure testing

Abstract

Acting on lower coal bed gas extraction the invention discloses a kind of un-uniformly distributed influences roof deformation test method, step are as follows: production experimental rig, seal cavity and transparent box including concave, the notch portion of seal cavity constitutes test specimen placed cavity, front pressuring plate is equipped with forward press, test specimen placed cavity is left, it is right, rear side is equipped with side plate, the head end of side plate is provided with air hole, side plate is equipped with side pressure bar, front and back is immediately provided with top board above upper padding plate, top board is equipped with upperpush rod, the end of upperpush rod is using the structure for installing spherical ball between two clamping plates;Prepare coal dust;Moulded coal test material preparation;Moulded coal test specimen and drainage tube installation;Apply triaxial stress;Apply gas pressure;It is tested;With other tests are organized, change the quantity of drainage tube;Repairing experiment data.The three axis real simulations that lower coal bed gas extraction and roof deformation are acted on to carry out un-uniformly distributed are tested.

Description

Un-uniformly distributed, which acts on lower coal bed gas extraction, influences roof deformation test method
Technical field
The invention belongs to technical field of mine safety, in particular, being related to a kind of lower coal bed gas pumping of un-uniformly distributed effect Adopting influences roof deformation test method.
Background technique
The energy is basis and the power of modernization, energy supply and safety concerning China's modernization construction overall situation.In country In " energy development strategy action plan (2014-2020) ", it is indicated that volume increase and the clean and effective of conventional fossil fuel should be accelerated It utilizes, meanwhile, Unconventional gas development bottleneck should be broken through as early as possible, promotes gas reserves yield rapid growth, arrive the year two thousand twenty, At 4,200,000,000 tons or so, shale gas yield strives that, more than 300 billion cubic meters, methane output strives reaching for consumption of coal overall control 300 billion cubic meters.
During coal bed gas extraction, since the variation of coal body effective stress makes top plate that heterogeneous deformation, stress occur Inhomogeneities to generate unequal stress distribution inside coal seam, what is generated during top plate deforms most directly threatens It is bump or rock burst, seriously affects the safety in production of China's coal-mine resource.Recognize bump Forming Mechanism with Calamity mechanism is caused, the safety of coal production is improved, is the major issue put in face of related scientific research worker.Therefore, carry out non- Coal bed gas extraction influences the test of roof deformation dynamics under Uniform Load, and can realize coal by high-strength transparence material With the real-time visual of Gas Outburst, can be provided for the high-efficiency mining of coal bed gas and the risk identification of mine disaster theory support and Engineering Guidance.
Currently, research of the domestic and foreign scholars under un-uniformly distributed effect in terms of coal bed gas extraction influence roof deformation It focuses mostly on site, it is less by laboratory test and theoretical research, lack a kind of effective experimental rig and method still to simulate Un-uniformly distributed, which acts on lower coal bed gas extraction, under true triaxial stress state influences roof deformation, to study true triaxial stress Coal bed gas extraction is on coal deformation and infiltrative influence under state.
Summary of the invention
Technical problem to be solved by the present invention lies in provide a kind of lower coal bed gas extraction influence coal of un-uniformly distributed effect Layer roof deformation test method, for studying the influence that coal bed gas extraction deforms roof under true triaxial stress state.
For this purpose, the technical scheme adopted by the invention is as follows: a kind of un-uniformly distributed effect lower coal bed gas extraction influence coal seam Roof deformation test method, comprising the following steps:
Step 1: production experimental rig;
The experimental rig includes the seal cavity of concave, and the recess of the seal cavity is being sealed towards front Be provided with the transparent box contour, wide with notch portion in front of cavity, rear portion, the top of the transparent box open wide and just with Notch portion is connected, and the transparent box and seal cavity share same bottom plate, and between the notch portion and transparent box of seal cavity Left and right is immediately provided with the front pressuring plate of several transparent materials, so that the notch portion of seal cavity be made to constitute test specimen placed cavity;
Each front pressuring plate is equipped with forward press, and forward press passes through transparent box and corresponding preceding pressure from the front to the back Plate is connected, the respective independent control of the corresponding forward press of each front pressuring plate, and passes through the driving speed of successively unloading simulation working face; The left side of the test specimen placed cavity, right side, rear side are respectively equipped with one piece of side plate, and the head end of side plate is inserted into seal cavity Correspondence side wall on, and be provided with air hole for being connected to test specimen placed cavity and seal cavity in head end, every piece of side plate is matched respectively A side pressure bar is had, side pressure bar ecto-entad passes through seal cavity and is connected with the end of side plate;The test specimen placed cavity and The inner wall upper limb of transparent box shares same upper padding plate, and front and back is immediately provided with several top boards above the upper padding plate, each Top board is equipped with upperpush rod, and the end of upperpush rod is using the structure for installing spherical ball between two clamping plates, each upper pressure The corresponding upperpush rod of plate respectively independent control, and the load different by application, to reflect roof under non-uniform load Inhomogeneous deformation;
It is provided with fluid entry holes on the side wall of the seal cavity, is provided with Fluid-exiting apertures on the side wall of transparent box;
Step 2: prepare coal dust, and by raw coal crushing grinding to requiring particle size range, pulverized coal sieve after being ground by reciprocating sieve Divide and is dried for standby;
Step 3: moulded coal test material preparation, coal dust is mixed according to partial size ratio requirement, and addition coal dust is viscous in proportion Stirred evenly after knot agent, coal dust loading mold be pressed into the moulded coal test specimen of square block, when compacting in moulded coal test specimen pre-buried bar Part makes to reserve drainage holes in moulded coal test specimen;
Step 4: moulded coal test specimen and drainage tube installation, the test specimen that the moulded coal test specimen suppressed is put into experimental rig is placed It is intracavitary, it protrudes on front side of drainage tube in the drainage holes of moulded coal test specimen and by extraction pipe outer wall and drainage holes inner wall adhering and sealing, it is described Drainage tube passes through front pressuring plate and reaches outside transparent box, and sealing ring is provided between drainage tube and front pressuring plate, transparent box;
Step 5: applying triaxial stress, left and right, rear the side pressure bar and forward press, upperpush rod of experimental rig are applied Add stress, constrains moulded coal test specimen by three axis;
Step 6: applying gas pressure, methane gas is injected into experimental rig by fluid entry holes, methane gas passes through Air hole left and right, on the side plate of rear enters inside moulded coal test specimen, makes to form certain gas pressure simultaneously inside moulded coal test specimen It keeps entering in next step after gas injection pressure is constant;
Step 7: being tested, by front pressuring plate from left to right or from right to left according to the stress of setting or change in displacement speed Rate is successively dropped back to the direction far from moulded coal test specimen, is displaced at left and right, rear side plate and top board different location by recording Amount obtains coal seam deformation data, while recording Fluid-exiting apertures and the variation of drainage tube gas flow;
Step 8: changing the quantity of drainage tube, left and right or up and down equally spaced setting two or two with other tests are organized A above drainage tube, repeats step 4 to step 7;
Step 9: repairing experiment data.
As a preferred embodiment of the above solution, in step 1, the fluid entry holes totally two, it is symmetrical set in seal cavity Rear wall on;The Fluid-exiting apertures totally one, it is arranged on the left side wall or right side wall of transparent box;Correspondingly, in step 6, Methane gas is injected into experimental rig simultaneously by two fluid entry holes.Using seal cavity rear wall bilateral symmetry influent stream body Mode, the Fluid pressure fast and stable for injecting seal cavity can be made, and uniformly across saturating on the side plate in three orientation Stomata enters test specimen placed cavity, saves test time, improves test efficiency.
Further preferably, in step 3, the moulded coal test specimen is 600mm × 600mm × 100mm square block, accordingly Ground, in step 1, the test specimen placed cavity is also 600mm × 600mm × 100mm rectangular cavity.
Further preferably, it in step 2, is dried 22~26 hours after raw coal crushing grinding at 105~110 DEG C.
Beneficial effects of the present invention: to each pressing plate apply stress can three axis stress of primary rock state of real simulation coal seam, apply Add gas gas source analog gas pressure, working face tunneling process, discharge rate analog are simulated in the gradually unloading of front pressuring plate Working face driving speed, the displacement variable by obtaining each compression bar obtain moulded coal test piece deformation amount, and can by transparent material The real-time visual for realizing coal and gas prominent, by changing the quantity of drainage tube, to provide a kind of un-uniformly distributed work Roof deformation test method is influenced with lower coal bed gas extraction, the safety in production for coal mine provides theory support and engineering refers to It leads.
Detailed description of the invention
The overlooking state figure of this experimental rig of Fig. 1.
The A-A cross-sectional view of Fig. 2 Fig. 1.
The B-B cross-sectional view of Fig. 3 Fig. 1.
The end partial enlarged view of Fig. 4 top board.
It is marked in figure as follows: seal cavity 1, transparent box 2, front pressuring plate 3, forward press 4, bottom plate 5, test specimen placed cavity 6, side pressure Plate 7, side pressure bar 8, upper padding plate 9, top board 10, upperpush rod 11, fluid entry holes 12, Fluid-exiting apertures 13, the first sealing ring 14a, Two sealing ring 14b, third sealing ring 14c, the 4th gasket 14d, cover board 15, bolt 16, moulded coal test specimen 17, drainage tube 18.
Specific embodiment
By way of example and in conjunction with the accompanying drawings, the invention will be further described:
A kind of lower coal bed gas extraction influence roof deformation test method of un-uniformly distributed effect, comprising the following steps:
Step 1: production experimental rig.
In conjunction with shown in Fig. 1-Fig. 3, experimental rig is mainly by seal cavity 1, transparent box 2, front pressuring plate 3, forward press 4, side pressure Plate 7, side pressure bar 8, upper padding plate 9, top board 10, upperpush rod 11 form.
It is in concave that seal cavity 1 is whole, and the recess of seal cavity 1 is towards front.
The transparent box 2 contour, wide with notch portion is provided in the front of seal cavity 1.Rear portion, the top of transparent box 2 It opens wide and is just connected with notch portion.Transparent box 2 and seal cavity 1 share same bottom plate 5, i.e., transparent box 2 only with it is left, Right, front side wall.Left and right is immediately provided with the front pressuring plate of several transparent materials between the notch portion and transparent box 2 of seal cavity 1 3, so that the notch portion of seal cavity 1 be made to constitute test specimen placed cavity 6, test specimen placed cavity 6 is for placing moulded coal test specimen 17.
Each front pressuring plate 3 is equipped with forward press 4, and forward press 4 passes through transparent box 2 and corresponding preceding pressure from the front to the back Plate 3 is connected, each 3 respective independent control of corresponding forward press 4 of front pressuring plate, and passes through the driving speed of successively unloading simulation working face Degree.Front pressuring plate 3 is all made of transparent material with transparent box 2 and is made, and experimenter can observe the crackle of surface of test piece during the test Spread scenarios.It is preferred especially with ultra-high strength and toughness degree transparent material pa nurse polycarbonate plate in transparent material, performance is more superior.
The left side of test specimen placed cavity 6, right side, rear side are respectively equipped with one piece of side plate 7, and the head end of side plate 7 is inserted into On the correspondence side wall of seal cavity 1, air hole 7a is provided with for being connected to test specimen placed cavity 6 and seal cavity in 7 head end of side plate 1.Every piece of side plate 7 is respectively equipped with a side pressure bar 8, and 8 ecto-entad of side pressure bar passes through the end of seal cavity 1 and side plate 7 End is connected.Preferably, side plate 7 is using the structure for setting vertical parting bead in rectangular outer frame, and vertical parting bead is just staggered air hole 7a, so that the fluid in seal cavity 1 be enable to enter test specimen placed cavity 6 by air hole 7a.
Test specimen placed cavity 6 and the inner wall upper limb of transparent box 2 share same upper padding plate 9, and 9 top front and back of upper padding plate is immediately set It is equipped with several top boards 10.Each top board 10 is equipped with upperpush rod 11, the end of upperpush rod 11 using two clamping plates 11a it Between install spherical ball 11b structure (as shown in Figure 4), each 10 respective independent control of corresponding upperpush rod 11 of top board, and By applying different load, to reflect inhomogeneous deformation of the roof under non-uniform load.Since top board 10 is more Block is closely arranged, therefore adds upper padding plate 9, it is ensured that the leakproofness of test specimen placed cavity 6, and simulate roof and goaf.
It is provided with fluid entry holes 12 on the side wall of seal cavity 1, is passed through stream into seal cavity 1 by fluid entry holes 12 Body;Fluid-exiting apertures 13 are provided on the side wall of transparent box 2, test process medium fluid is discharged through Fluid-exiting apertures 13.Preferably, fluid enters Totally two, hole 12, is symmetrical set on the rear wall of seal cavity 1;Fluid-exiting apertures 13 totally one, transparent box 2 is set All may be used on left side wall or right side wall.
In addition, test specimen placed cavity 6 is preferably the long rectangular cavity equal with width.
Bottom plate 5, cover board 15 are fixed by bolt 16 and the side wall of seal cavity 1.It, can for the leakproofness for ensuring experimental rig To be provided with the first sealing ring 14a using between bottom plate 5 and seal cavity 1, test specimen placed cavity 6;Seal cavity 1 and side pressure bar 8 Between, between seal cavity 1 and side plate 7 be provided with the second sealing ring 14b;Between seal cavity 1 and included cover board 15 It is provided with third sealing ring 14c;The 4th gasket 14d is provided between seal cavity 1 and upper padding plate 9.
Preferably, with front pressuring plate 3 using being threadedly coupled, side pressure bar 8 is used with side plate 7 and is threadedly coupled forward press 4, can also In a manner of using other be fixedly connected.
Preferably, top board 10 totally seven, the corresponding upperpush rod 11 of each top board 10 is respectively by control independent Part controls, to reflect roof inhomogeneous deformation;Front pressuring plate 3 totally six, each front pressuring plate 3 corresponding forward press 4 difference It is controlled by control section independent, and passes through the driving speed of successively unloading simulation working face.
The characteristics of experimental rig:
1, true triaxial stress can be applied from front and rear, left and right and top, and the end of top board uses and pacifies between two clamping plates The structure for filling spherical ball, by the way that un-uniformly distributed can be applied, thus the heterogeneous deformation of true simulation top plate.
2, front pressuring plate uses the structure of muti-piece combination, and working face tunneling process is simulated by gradually unloading;Top board is adopted With muti-piece group merge optimization upperpush rod end structure, top board respectively independent control to simulate roof non-uniform load Load, upper padding plate simulate roof and goaf;Compared to the mode artificially tunneled manually, practical work has been simulated realistically Condition, to improve test accuracy.
3, test specimen rear side and the pressing plate of arranged on left and right sides are equipped with air hole, can be inflated and be reached to test specimen by fluid entry holes To must gas pressure, test specimen bottom, front and top are without gas source supply hole, so as to the more true practical work of reflection Condition improves test accuracy.
4, experimental rig uses sealing structure, can apply related gas pressure, to reflect real working condition.
Step 2: prepare coal dust, and by raw coal crushing grinding to requiring particle size range, pulverized coal sieve after being ground by reciprocating sieve Divide and is dried for standby.Preferably, it is dried 22~26 hours after raw coal crushing grinding at 105~110 DEG C.
Step 3: moulded coal test material preparation, coal dust is mixed according to partial size ratio requirement, and addition coal dust is viscous in proportion It is stirred evenly after knot agent, coal dust loading mold is pressed into the moulded coal test specimen of square block.When compacting in moulded coal test specimen pre-buried bar Part makes to reserve drainage holes in moulded coal test specimen.
Preferably, moulded coal test specimen is 600mm × 600mm × 100mm square block, and correspondingly, in step 1, test specimen is placed Chamber 6 is also 600mm × 600mm × 100mm rectangular cavity.
Step 4: moulded coal test specimen and drainage tube installation, the test specimen that the moulded coal test specimen suppressed is put into experimental rig is placed In chamber 6, protruded on front side of drainage tube 18 in the drainage holes of moulded coal test specimen and by 18 outer wall of drainage tube and drainage holes inner wall adhering and sealing, Drainage tube 18 passes through front pressuring plate 3 and reaches outside transparent box 2, and sealing is provided between drainage tube 18 and front pressuring plate 3, transparent box 2 Circle.
Step 5: applying triaxial stress, to left and right, rear the side pressure bar 8 and forward press 4, upperpush rod of experimental rig 11 apply stress, constrain moulded coal test specimen by three axis.
Step 6: applying gas pressure, methane gas is injected into experimental rig by fluid entry holes 12, methane gas is logical It crosses air hole 7a left and right, on rear side plate 7 to enter inside moulded coal test specimen, makes to form certain gas inside moulded coal test specimen Pressure simultaneously keeps gas injection pressure constant rear into next step.It is same by two fluid entry holes 12 when fluid entry holes 12 totally two When methane gas is injected into experimental rig.
Step 7: being tested, by front pressuring plate 3 from left to right or from right to left according to the stress of setting or change in displacement speed Rate is successively dropped back to the direction far from moulded coal test specimen, by recording at 10 different location of left and right, rear side plate 7 and top board Displacement obtains coal seam deformation data, while recording Fluid-exiting apertures 13 and the variation of 18 gas flow of drainage tube.
Step 8: with other tests are organized, change the quantity of drainage tube 18, left and right or be equally spaced arranged up and down two or More than two drainage tubes 18, repeat step 4 to step 7.
For example, by the coal dust of different-grain diameter according to less than 40 mesh: 40~60 mesh: 60~80 mesh: 80~100 mesh: greater than 100 The mixing of mesh=1:1:1:1:1 mass ratio, and add the milky white adhesive that mass ratio is 5% and be pressed into moulded coal test specimen as bonding agent, Repetition test is carried out according to the following table:
According to repeating to test shown in upper table, coal bed gas extraction and roof under un-uniformly distributed acts on can be studied and deformed Relationship.

Claims (4)

1. a kind of un-uniformly distributed, which acts on lower coal bed gas extraction, influences roof deformation test method, which is characterized in that including Following steps:
Step 1: production experimental rig;
The experimental rig includes the seal cavity (1) of concave, and the recess of the seal cavity (1) is towards front, close It is provided with the transparent box (2) contour, wide with notch portion in front of envelope cavity (1), rear portion, the top of the transparent box (2) are equal It opens wide and is just connected with notch portion, the transparent box (2) and seal cavity (1) share same bottom plate (5), and seal cavity (1) left and right is immediately provided with the front pressuring plate (3) of several transparent materials between notch portion and transparent box (2), to make to seal The notch portion of cavity (1) constitutes test specimen placed cavity (6);
Each front pressuring plate (3) is equipped with forward press (4), forward press (4) pass through from the front to the back transparent box (2) with it is respective right The front pressuring plate (3) answered is connected, the respective independent control of each corresponding forward press (4) of front pressuring plate (3), and passes through successively unloading simulation The driving speed of working face;The left side of the test specimen placed cavity (6), right side, rear side are respectively equipped with one piece of side plate (7), side The head end of pressing plate (7) is inserted on the correspondence side wall of seal cavity (1), and is provided with air hole (7a) for being connected to test specimen in head end Placed cavity (6) and seal cavity (1), every piece of side plate (7) are respectively equipped with a side pressure bar (8), side pressure bar (8) ecto-entad It is connected across seal cavity (1) with the end of side plate (7);The inner wall upper limb of the test specimen placed cavity (6) and transparent box (2) is total With same upper padding plate (9), upper padding plate (9) top front and back is immediately provided with several top boards (10), each top board (10) it is equipped with upperpush rod (11), spherical ball (11b) is installed using between two clamping plates (11a) in the end of upperpush rod (11) Structure, the respective independent control of each corresponding upperpush rod (11) of top board (10), and by applying different load, with reflection Inhomogeneous deformation of the roof under non-uniform load;
It is provided with fluid entry holes (12) on the side wall of the seal cavity (1), is provided with Fluid-exiting apertures on the side wall of transparent box (2) (13);
Step 2: prepare coal dust, by raw coal crushing grinding to requiring particle size range, after being ground by reciprocating sieve, coal fines screening is simultaneously It is dried for standby;
Step 3: moulded coal test material preparation, coal dust is mixed according to partial size ratio requirement, and coal dust binder is added in proportion After stir evenly, coal dust loading mold is pressed into the moulded coal test specimen of square block, when compacting in moulded coal test specimen pre-buried rod piece, make Drainage holes are reserved in moulded coal test specimen;
Step 4: the moulded coal test specimen suppressed, is put into the test specimen placed cavity (6) of experimental rig by moulded coal test specimen and drainage tube installation It is interior, it is protruded on front side of drainage tube (18) in the drainage holes of moulded coal test specimen and drainage tube (18) outer wall is Nian Jie with drainage holes inner wall close Envelope, the drainage tube passes through front pressuring plate (3) and reaches transparent box (2) outside, and drainage tube (18) and front pressuring plate (3), transparent box (2) Between be provided with sealing ring;
Step 5: applying triaxial stress, to left and right, rear the side pressure bar (8) of experimental rig and forward press (4), upperpush rod (11) apply stress, constrain moulded coal test specimen by three axis;
Step 6: applying gas pressure, methane gas is injected into experimental rig by fluid entry holes (12), methane gas passes through Air hole (7a) left and right, on rear side plate (7) enters inside moulded coal test specimen, makes to form certain watt inside moulded coal test specimen This pressure simultaneously keeps gas injection pressure constant rear into next step;
Step 7: being tested, by front pressuring plate (3) from left to right or from right to left according to the stress of setting or change in displacement rate It successively drops back to the direction far from moulded coal test specimen, by recording left and right, rear side plate (7) and top board (10) different location Locate displacement, obtain coal seam deformation data, while recording the gas flow variation of Fluid-exiting apertures (13) and drainage tube (18);
Step 8: changing the quantity of drainage tube (18), left and right or up and down equally spaced setting two or two with other tests are organized A above drainage tube (18), repeats step 4 to step 7;
Step 9: repairing experiment data.
2. un-uniformly distributed according to claim 1, which acts on lower coal bed gas extraction, influences roof deformation test method, It is characterized by: the moulded coal test specimen is 600mm × 600mm × 100mm square block, correspondingly, step 1 in step 3 In, the test specimen placed cavity (6) is also 600mm × 600mm × 100mm rectangular cavity.
3. un-uniformly distributed according to claim 1, which acts on lower coal bed gas extraction, influences roof deformation test method, It is characterized by: being dried 22~26 hours after raw coal crushing grinding at 105~110 DEG C in step 2.
4. un-uniformly distributed as described in claim 1, which acts on lower coal bed gas extraction, influences roof deformation test method, Be characterized in that: in step 1, the fluid entry holes (12) totally two are symmetrical set on the rear wall of seal cavity (1); The Fluid-exiting apertures (13) totally one are arranged on the left side wall or right side wall of transparent box (2);Correspondingly, in step 6, pass through Two fluid entry holes (12) inject methane gas into experimental rig simultaneously.
CN201810948239.XA 2018-08-20 2018-08-20 Method for testing influence of coal bed gas extraction on deformation of coal bed roof under action of non-uniform load Active CN109060507B (en)

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