Interactions of multiple processes during CBM extraction: A critical review

Abstract Coal permeability models are required to define the transient characteristics of permeability evolution in fractured coals during CBM recovery. A broad variety of models have evolved to represent the effects of sorption, swelling and effective stresses on the dynamic evolution of permeability. In this review, we classify the major models into two groups: permeability models under conditions of uniaxial strain and permeability models under conditions of variable stress. The performance of these models is evaluated against analytical solutions for the two extreme cases of either free shrinking/swelling or constant volume. For the case of free shrinking/swelling none of the swelling/shrinking strain contributes to the change in coal permeability because effective stresses do not change. Conversely, for the case of constant volume the full swelling/shrinking strain contributes to the change in coal permeability because the coal is completely constrained from all directions. Therefore, these two solutions represent the lower bound and the upper bound behaviors of permeability evolution, respectively. Review of laboratory observations concludes that although experiments are conducted under conditions of free shrinking/swelling the observed response is closest to that for constant volume condition. Similarly, review of in-situ observations concludes that coal gas reservoirs behave close to the constant volume condition although these observations are made under undefined in-situ stress and constraint conditions anticipated to be intermediate between free swelling and constant volume (i.e. for uniaxial strain). Thus comparison of these laboratory and field observations against the spectrum of models indicates that current models have so far failed to explain the results from stress-controlled shrinking/swelling laboratory tests and have only achieved some limited success in explaining and matching in situ data. Permeability models under uniaxial strain are more appropriate for the overall behavior of coal gas reservoirs under typical in situ conditions while models representing variable stress conditions are more appropriate for behavior examined under typical laboratory conditions. Unlike permeability models under the uniaxial strain condition, models under the constant volume condition are effective-stress based and can be used to recover the important non-linear responses due to the effective stress effects when mechanical influences are rigorously coupled with the gas transport system. Almost all the permeability models are derived for the coal as a porous medium, but used to explain the compound behaviors of coal matrix and fracture. We suggest that the impact of coal matrix-fracture compartment interactions has not yet been understood well and further improvements are necessary.

[1]  Mark D. Zoback,et al.  CO2 storage and enhanced coalbed methane recovery: Reservoir characterization and fluid flow simulations of the Big George coal, Powder River Basin, Wyoming, USA , 2009 .

[2]  V. Rudolph,et al.  Constant volume CBM reservoirs: An important principle , 2009 .

[3]  Luke D. Connell,et al.  Coupled flow and geomechanical processes during enhanced coal seam methane recovery through CO2 sequestration , 2009 .

[4]  Eric P. Robertson,et al.  Modeling Permeability in Coal Using Sorption-Induced Strain Data , 2005 .

[5]  László Balla Mathematical modeling of methane flow in a borehole coal mining system , 1989 .

[6]  Rick Chalaturnyk,et al.  Numerical Simulation of Stress and Strain Due to Gas Sorption/Desorption and Their Effects on In Situ Permeability of Coalbeds , 2006 .

[7]  J. Rutqvist,et al.  Modeling of coupled deformation and permeability evolution during fault reactivation induced by deep underground injection of CO2 , 2011 .

[8]  Dongxiao Zhang,et al.  Coupled fluid-flow and geomechanics for triple-porosity/dual-permeability modeling of coalbed methane recovery , 2010 .

[9]  Luke D. Connell,et al.  An analytical coal permeability model for tri-axial strain and stress conditions , 2010 .

[10]  Victor Rudolph,et al.  An improved permeability model of coal for coalbed methane recovery and CO2 geosequestration , 2009 .

[11]  Ian D. Palmer,et al.  How Permeability Depends on Stress and Pore Pressure in Coalbeds: A New Model , 1998 .

[12]  Shinji Yamaguchi,et al.  CO2-ECBM field tests in the Ishikari Coal Basin of Japan , 2010 .

[13]  S. R. Reeves,et al.  Modeling Coal Matrix Shrinkage and Differential Swelling with CO2 Injection for Enhanced Coalbed Methane Recovery and Carbon Sequestration Applications , 2002 .

[14]  L. Connell,et al.  A theoretical model for gas adsorption-induced coal swelling , 2007 .

[15]  John A. Hudson,et al.  Comprehensive rock engineering : principles, practice, and projects , 1993 .

[16]  Luke D. Connell,et al.  Coal swelling strain and permeability change with injecting liquid/supercritical CO2 and N2 at stress-constrained conditions , 2011 .

[17]  S. Valliappan,et al.  Flow through fissured porous media with deformable matrix , 1990 .

[18]  M. Mavor,et al.  Increasing Coal Absolute Permeability in the San Juan Basin Fruitland Formation , 1998 .

[19]  R. Marc Bustin,et al.  Volumetric strain associated with methane desorption and its impact on coalbed gas production from deep coal seams , 2005 .

[20]  Derek Elsworth,et al.  Evaluation of groundwater flow into mined panels , 1993 .

[21]  A. Smirnov,et al.  Carbon sequestration in coal-beds with structural deformation effects , 2009 .

[22]  Sam Wong,et al.  Enhanced coalbed methane and CO2 storage in anthracitic coals—Micro-pilot test at South Qinshui, Shanxi, China , 2007 .

[23]  Ian Palmer,et al.  Permeability changes in coal: Analytical modeling , 2009 .

[24]  Ian D. Palmer,et al.  How Permeability Depends on Stress and Pore Pressure in Coalbeds: A New Model , 1998 .

[25]  R. A. Koenig,et al.  Interference Testing of a Coalbed Methane Reservoir , 1986 .

[26]  Derek Elsworth,et al.  Poromechanical response of fractured-porous rock masses , 1995 .

[27]  X. Miao,et al.  Evaluation of stress-controlled coal swelling processes , 2010 .

[28]  Marco Mazzotti,et al.  Role of adsorption and swelling on the dynamics of gas injection in coal - article no. B04203 , 2009 .

[29]  G. I. Barenblatt,et al.  Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks [strata] , 1960 .

[30]  Xiexing Miao,et al.  Evolution of coal permeability from stress-controlled to displacement-controlled swelling conditions , 2011 .

[31]  Ghazal Izadi,et al.  Permeability evolution of fluid-infiltrated coal containing discrete fractures , 2011 .

[32]  Sevket Durucan,et al.  Drawdown Induced Changes in Permeability of Coalbeds: A New Interpretation of the Reservoir Response to Primary Recovery , 2004 .

[33]  A. C. Bumb,et al.  Stress-Dependent Permeability and Porosity of Coal and Other Geologic Formations , 1988 .

[34]  Derek Elsworth,et al.  Three-dimensional effects of hydraulic conductivity enhancement and desaturation around mined panels , 1997 .

[35]  S. E. Foh,et al.  Liquid Permeability of Coal as a Function of Net Stress , 1984 .

[36]  Scott Reeves,et al.  THE ALLISON UNIT CO{sub 2}-ECBM PILOT: A RESERVOIR MODELING STUDY , 2003 .

[37]  C. M. White,et al.  Sequestration of Carbon Dioxide in Coal with Enhanced Coalbed Methane RecoveryA Review , 2005 .

[38]  Jacob Bear,et al.  A mathematical model for consolidation in a thermoelastic aquifer due to hot water injection or pumping , 1981 .

[39]  Derek Elsworth,et al.  How sorption-induced matrix deformation affects gas flow in coal seams: A new FE model , 2008 .

[40]  C. M. Boyer,et al.  Coalbed gas; Hunt for quality basins goes abroad , 1992 .

[41]  Dong Yang,et al.  Nonlinear Coupled Mathematical Model for Solid Deformation and Gas Seepage in Fractured Media , 2004 .

[42]  Hilary I. Inyang,et al.  Modeling contaminant migration with linear sorption in strongly heterogeneous media , 1997 .

[43]  Todd Arbogast,et al.  A dual-porosity model for waterflooding in naturally fractured reservoirs , 1991 .

[44]  Hongyan Qu,et al.  Multiphysics of coal-gas interactions: the scientific foundation for CBM extraction , 2010 .

[45]  D. K. Murray Coalbed methane in the USA: analogues for worldwide development , 1996, Geological Society, London, Special Publications.

[46]  A. A. Reznik,et al.  The Permeability of Coal to Gas and Water , 1974 .

[47]  Xiexing Miao,et al.  Linking gas-sorption induced changes in coal permeability to directional strains through a modulus reduction ratio , 2010 .

[48]  Ekrem Ozdemir,et al.  Modeling of coal bed methane (CBM) production and CO2 sequestration in coal seams , 2009 .

[49]  Jishan Liu,et al.  Impact of CO2 injection and differential deformation on CO2 injectivity under in-situ stress conditions , 2010 .

[50]  F. Gu,et al.  Analysis of Coalbed Methane Production by Reservoir and Geomechanical Coupling Simulation , 2005 .

[51]  W. Nowacki,et al.  Problems of thermoelasticity , 1970 .

[52]  George V. Chilingar,et al.  Relationship Between Porosity, Permeability, and Grain-Size Distribution of Sands and Sandstones , 1964 .

[53]  Bilu Verghis Cherian,et al.  An Integrated Single-Well Approach to Evaluating Completion Effectiveness and Reservoir Properties in the Wind Dancer Field , 2010, TGC 2010.

[54]  J. E. Warren,et al.  The Behavior of Naturally Fractured Reservoirs , 1963 .

[55]  Luke D. Connell,et al.  Modelling of anisotropic coal swelling and its impact on permeability behaviour for primary and enhanced coalbed methane recovery , 2011 .

[56]  William D. Gunter,et al.  Alberta Multiwell Micro-Pilot Testing for CBM Properties, Enhanced Methane Recovery and CO2 Storage Potential , 2004 .

[57]  Meng Lu,et al.  A model for the flow of gas mixtures in adsorption dominated dual porosity reservoirs incorporating multi-component matrix diffusion Part I. Theoretical development , 2007 .

[58]  M. Biot General Theory of Three‐Dimensional Consolidation , 1941 .

[59]  Wancheng Zhu,et al.  Analysis of coupled gas flow and deformation process with desorption and Klinkenberg effects in coal seams , 2007 .

[60]  Yangsheng Zhao,et al.  Mathematical model for coupled solid deformation and methane flow in coal seams , 1994 .

[61]  V. Rudolph,et al.  Sorption-induced swelling/shrinkage and permeability of coal under stressed adsorption/desorption conditions , 2010 .

[62]  Roger Beckie,et al.  Flow of Coal-Bed Methane to a Gallery , 2000 .

[63]  Yingxin Zhou,et al.  Analysis and design methods , 2011 .

[64]  Huang Pei-ming,et al.  Simulation of CO2-geosequestration enhanced coal bed methane recovery with a deformation-flow coupled model , 2009 .

[65]  C. Spiers,et al.  Strain development in unconfined coals exposed to CO2, CH4 and Ar : Effect of moisture , 2009 .

[66]  Luke D. Connell,et al.  Laboratory characterisation of coal reservoir permeability for primary and enhanced coalbed methane recovery , 2010 .

[67]  Yu Wu,et al.  Dual poroelastic response of a coal seam to CO2 injection , 2010 .

[68]  Grant S. Bromhal,et al.  Influence of carbon dioxide on coal permeability determined by pressure transient methods , 2009 .

[69]  R. Chalaturnyk,et al.  Permeability and porosity models considering anisotropy and discontinuity of coalbeds and application in coupled simulation , 2010 .

[70]  R. A. McBane,et al.  An Analysis of Fruitland Coalbed Methane Production, Cedar Hill Field, Northern San Juan Basin , 1991 .

[71]  W. H. Somerton,et al.  Effect of stress on permeability of coal , 1975 .

[72]  Luke D. Connell,et al.  Coupled flow and geomechanical processes during gas production from coal seams , 2009 .

[73]  A. Smirnov,et al.  Modeling of carbon sequestration in coal-beds : A variable saturated simulation , 2008 .

[74]  A. Cheng,et al.  Fundamentals of Poroelasticity , 1993 .

[75]  R. A. Schraufnagel,et al.  Shrinkage of coal matrix with release of gas and its impact on permeability of coal , 1990 .

[76]  G.B.C Young Computer modeling and simulation of coalbed methane resources , 1998 .

[77]  S. W. Lambert,et al.  The Effects of Stress on Coalbed Reservoir Performance, Black Warrior Basin, U.S.A. , 1995 .

[78]  Derek Elsworth,et al.  FLOW-DEFORMATION RESPONSE OF DUAL-POROSITY MEDIA , 1992 .

[79]  Jonny Rutqvist,et al.  A New Coal-Permeability Model: Internal Swelling Stress and Fracture–Matrix Interaction , 2010 .

[81]  Somasundaram Valliappan,et al.  Numerical modelling of methane gas migration in dry coal seams , 1996 .

[82]  S. Durucan,et al.  The effects of stress and fracturing on permeability of coal , 1986 .

[83]  D. Elsworth,et al.  Multiporosity/multipermeability approach to the simulation of naturally fractured reservoirs , 1993 .

[84]  I. Gray,et al.  Reservoir Engineering in Coal Seams: Part 1-The Physical Process of Gas Storage and Movement in Coal Seams , 1987 .

[85]  Satya Harpalani,et al.  A simplified permeability model for coalbed methane reservoirs based on matchstick strain and constant volume theory , 2011 .

[86]  S. Durucan,et al.  Gas Storage and Flow in Coalbed Reservoirs: Implementation of a Bidisperse Pore Model for Gas Diffusion in Coal Matrix , 2005 .

[87]  Faye Liu,et al.  Coupled reactive flow and transport modeling of CO2 sequestration in the Mt. Simon sandstone formation, Midwest U.S.A. , 2011 .

[88]  Xiexing Miao,et al.  Development of anisotropic permeability during coalbed methane production , 2010 .

[89]  Lawrence W. Teufel,et al.  Coupling Fluid-Flow and Geomechanics in Dual-Porosity Modeling of Naturally Fractured Reservoirs , 1997 .

[90]  Derek Elsworth,et al.  Permeability evolution in fractured coal: The roles of fracture geometry and water-content , 2011 .

[91]  J. P. Seidle,et al.  Application of Matchstick Geometry To Stress Dependent Permeability in Coals , 1992 .

[92]  Richard L. Christiansen,et al.  A Permeability Model for Coal and Other Fractured, Sorptive-Elastic Media , 2008 .

[93]  L. H. Reiss,et al.  The reservoir engineering aspects of fractured formations , 1980 .

[94]  A model for strain-induced permeability anisotropy in deformable granular media , 2003 .

[95]  G. C. Amstutz Developments in Sedimentology , 1965 .

[96]  C. D. Pomeroy,et al.  The effect of applied stresses on the permeability of a middle rank coal to water , 1967 .

[97]  James O. Duguid,et al.  Flow in fractured porous media , 1977 .

[98]  Malgorzata Peszynska,et al.  Coupled fluid flow and geomechanical deformation modeling , 2003 .

[99]  John R. Seidle,et al.  Experimental Measurement of Coal Matrix Shrinkage Due to Gas Desorption and Implications for Cleat Permeability Increases , 1995 .

[100]  Guoliang Chen,et al.  Influence of gas production induced volumetric strain on permeability of coal , 1997 .