Numerical Analysis and Prediction of Coal Mine Methane Drainage Based on Gas–Solid Coupling Model

Methane drainage using boreholes is one of the most effective means of preventing coal mine methane disasters. However, the distributions of stress and permeability around the borehole and the effective influence radius of methane drainage are not clearly known. To solve this problem, a mathematical...

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Main Authors: Mingyun Tang, Pengxian Zheng, Chunshan Zheng, Zuxiang Hu, Jinhui Wang, Guanglong Dai
Format: Article
Language:English
Published: Faculty of Mechanical Engineering in Slavonski Brod, Faculty of Electrical Engineering in Osijek, Faculty of Civil Engineering in Osijek 2019-01-01
Series:Tehnički Vjesnik
Subjects:
Online Access:https://hrcak.srce.hr/file/322640
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author Mingyun Tang
Pengxian Zheng
Chunshan Zheng
Zuxiang Hu
Jinhui Wang
Guanglong Dai
author_facet Mingyun Tang
Pengxian Zheng
Chunshan Zheng
Zuxiang Hu
Jinhui Wang
Guanglong Dai
author_sort Mingyun Tang
collection DOAJ
description Methane drainage using boreholes is one of the most effective means of preventing coal mine methane disasters. However, the distributions of stress and permeability around the borehole and the effective influence radius of methane drainage are not clearly known. To solve this problem, a mathematical model of gas–solid coupling of coal rock was first established in this study based on the Kozeny–Carman equation. In this model, the coal rock was considered as a fracture–porosity dual medium. Methane’s flow was seepage in the fracture system and diffused in the pore system. Second, the finite volume method was used to discretize the coupling model. The Newton–Raphson iteration and generalized minimal residual algorithm method were used to solve the nonlinear coupling equation after diffusion. Finally, Fortran language was used to simulate the process of methane drainage using a borehole. Results showed that there was respectively stress concentration on the left and right sides of the borehole. This area was associated with the lower permeability in these zones and destroyed the borehole, which is the one of the main reasons for the low efficiency of methane drainage. The relationship between the effective influence radius and the drainage time could be described by a power function. The effective influence radius of the borehole, cumulative methane drainage volume, and residual methane content distribution obtained by simulation were well consistent with the data obtained by the actual measurements, which proves the credibility of the gas–solid coupling and solving methods. This study provides some theoretical reference for methane drainage and the solution of multi-physics field coupling model in coal mines.
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spelling doaj.art-6198deaa79a74ebaae976a0ebb3a724e2024-04-15T15:35:16ZengFaculty of Mechanical Engineering in Slavonski Brod, Faculty of Electrical Engineering in Osijek, Faculty of Civil Engineering in OsijekTehnički Vjesnik1330-36511848-63392019-01-0126375276110.17559/TV-20190224105205Numerical Analysis and Prediction of Coal Mine Methane Drainage Based on Gas–Solid Coupling ModelMingyun Tang0Pengxian Zheng1Chunshan Zheng2Zuxiang Hu3Jinhui Wang4Guanglong Dai5(1) State Key Laboratory of Mining Response and Disaster Prevention and Control in Deep Coal Mines, Anhui University of Science and Technology / (2) School of Mining and Safety Engineering, Anhui University of Science and Technology, No. 168 Taifeng StreeSchool of Mining and Safety Engineering, Anhui University of Science and Technology, No. 168 Taifeng Street, 232001 Huainan, Anhui Province, China(1) State Key Laboratory of Mining Response and Disaster Prevention and Control in Deep Coal Mines, Anhui University of Science and Technology / (2) School of Mining and Safety Engineering, Anhui University of Science and Technology, No. 168 Taifeng Stree(1) State Key Laboratory of Mining Response and Disaster Prevention and Control in Deep Coal Mines, Anhui University of Science and Technology / (2) School of Mining and Safety Engineering, Anhui University of Science and Technology, No. 168 Taifeng StreeSchool of Mechanical, Aerospace and Civil Engineering, University of Machester, George Begg Building, M13 9PL Machester, UK(1) State Key Laboratory of Mining Response and Disaster Prevention and Control in Deep Coal Mines, Anhui University of Science and Technology / (2) School of Mining and Safety Engineering, Anhui University of Science and Technology, No. 168 Taifeng StreeMethane drainage using boreholes is one of the most effective means of preventing coal mine methane disasters. However, the distributions of stress and permeability around the borehole and the effective influence radius of methane drainage are not clearly known. To solve this problem, a mathematical model of gas–solid coupling of coal rock was first established in this study based on the Kozeny–Carman equation. In this model, the coal rock was considered as a fracture–porosity dual medium. Methane’s flow was seepage in the fracture system and diffused in the pore system. Second, the finite volume method was used to discretize the coupling model. The Newton–Raphson iteration and generalized minimal residual algorithm method were used to solve the nonlinear coupling equation after diffusion. Finally, Fortran language was used to simulate the process of methane drainage using a borehole. Results showed that there was respectively stress concentration on the left and right sides of the borehole. This area was associated with the lower permeability in these zones and destroyed the borehole, which is the one of the main reasons for the low efficiency of methane drainage. The relationship between the effective influence radius and the drainage time could be described by a power function. The effective influence radius of the borehole, cumulative methane drainage volume, and residual methane content distribution obtained by simulation were well consistent with the data obtained by the actual measurements, which proves the credibility of the gas–solid coupling and solving methods. This study provides some theoretical reference for methane drainage and the solution of multi-physics field coupling model in coal mines.https://hrcak.srce.hr/file/322640Coal mine methaneEffective influence radiusFinite volume methodGas–solid couplingMaximum principal stressNumerical simulation
spellingShingle Mingyun Tang
Pengxian Zheng
Chunshan Zheng
Zuxiang Hu
Jinhui Wang
Guanglong Dai
Numerical Analysis and Prediction of Coal Mine Methane Drainage Based on Gas–Solid Coupling Model
Tehnički Vjesnik
Coal mine methane
Effective influence radius
Finite volume method
Gas–solid coupling
Maximum principal stress
Numerical simulation
title Numerical Analysis and Prediction of Coal Mine Methane Drainage Based on Gas–Solid Coupling Model
title_full Numerical Analysis and Prediction of Coal Mine Methane Drainage Based on Gas–Solid Coupling Model
title_fullStr Numerical Analysis and Prediction of Coal Mine Methane Drainage Based on Gas–Solid Coupling Model
title_full_unstemmed Numerical Analysis and Prediction of Coal Mine Methane Drainage Based on Gas–Solid Coupling Model
title_short Numerical Analysis and Prediction of Coal Mine Methane Drainage Based on Gas–Solid Coupling Model
title_sort numerical analysis and prediction of coal mine methane drainage based on gas solid coupling model
topic Coal mine methane
Effective influence radius
Finite volume method
Gas–solid coupling
Maximum principal stress
Numerical simulation
url https://hrcak.srce.hr/file/322640
work_keys_str_mv AT mingyuntang numericalanalysisandpredictionofcoalminemethanedrainagebasedongassolidcouplingmodel
AT pengxianzheng numericalanalysisandpredictionofcoalminemethanedrainagebasedongassolidcouplingmodel
AT chunshanzheng numericalanalysisandpredictionofcoalminemethanedrainagebasedongassolidcouplingmodel
AT zuxianghu numericalanalysisandpredictionofcoalminemethanedrainagebasedongassolidcouplingmodel
AT jinhuiwang numericalanalysisandpredictionofcoalminemethanedrainagebasedongassolidcouplingmodel
AT guanglongdai numericalanalysisandpredictionofcoalminemethanedrainagebasedongassolidcouplingmodel