An improved apparent permeability model considering full pore pressure range, variable intrinsic permeability and slippage coefficient

Vairogs, 1971, Effect of rock stress on gas production from low-permeability reservoirs, J Petroleum Technol, 23, 1161, 10.2118/3001-PA Xiao, 2019, Klinkenberg effect and effective pressure for gas permeability of tight sandstones, J Geophys Res Solid Earth, 124, 1412, 10.1029/2018JB016686 Wang, 2018, An improved permeability evolution model and its application in fractured sorbing media, J Nat Gas Sci Eng, 56, 222, 10.1016/j.jngse.2018.05.038 Wang, 2022, Improved permeability model of the binary gas interaction within a two-phase flow and its application in CO2-enhanced coalbed methane recovery, ACS Omega, 7, 31167, 10.1021/acsomega.2c03377 Choi, 2021, Analysis of shale property changes after geochemical interaction under CO2 sequestration conditions, Energy, 214, 118933, 10.1016/j.energy.2020.118933 Li, 2022, A novel multiphysics multiscale multiporosity shale gas transport model for geomechanics/flow coupling in steady and transient states, SPE J, 27, 452, 10.2118/206726-PA Firouzi, 2014, Klinkenberg effect on predicting and measuring helium permeability in gas shales, Int J Coal Geol, 123, 62, 10.1016/j.coal.2013.09.006 Klinkenberg, 1941, The permeability of porous media to liquids and gases, SOCAR Proc, 2, 200 Wang, 2018, Gas permeability calculation of tight rocks based on laboratory measurements with non-ideal gas slippage and poroelastic effects considered, Int J Rock Mech Min Sci, 112, 16, 10.1016/j.ijrmms.2018.10.002 Sinha, 2013, Steady-state permeability measurements on intact shale samples at reservoir conditions-effect of stress, temperature, pressure, and type of gas Harpalani, 1997, Influence of gas production induced volumetric strain on permeability of coal, Geotech Geol Eng, 15, 303, 10.1007/BF00880711 Warplnski, 1992, Determination of the effective stress law for permeability and deformation in low-permeability rocks, SPE Form Eval, 7, 123, 10.2118/20572-PA Jones, 1997, A technique for faster pulse-decay permeability measurements in tight rocks, SPE Form Eval, 12, 19, 10.2118/28450-PA Brace, 1968, Permeability of granite under high pressure, J Geophys Res, 73, 2225, 10.1029/JB073i006p02225 Harpalani S. Gas flow through stressed coal. Doctoral dissertation. San Francisco: University of California, Berkeley; 1985. Seidle, 1992, Application of matchstick geometry to stress dependent permeability in coals Gray, 1987, Reservoir engineering in coal seams: Part 1—the physical process of gas storage and movement in coal seams, SPE Reserv Eng, 2, 28, 10.2118/12514-PA Shi, 2004, Drawdown induced changes in permeability of coalbeds: A new interpretation of the reservoir response to primary recovery, Transp Porous Media, 56, 1, 10.1023/B:TIPM.0000018398.19928.5a Shi, 2005, A model for changes in coalbed permeability during primary and enhanced methane recovery, SPE Reserv Eval Eng, 8, 291, 10.2118/87230-PA Cui, 2005, Volumetric strain associated with methane desorption and its impact on coalbed gas production from deep coal seams, Bulletin, 89, 1181, 10.1306/05110504114 Robertson EP. Measurement and Modeling of Sorption-Induced Strain and Permeability Changes in Coal. Office of Scientific and Technical Information (OSTI); 2005. Liu, 2010, A new coal-permeability model: Internal swelling stress and fracture–matrix interaction, Transp Porous Media, 82, 157, 10.1007/s11242-009-9442-x Liu, 2017, Impact of matrix-fracture interactions on coal permeability: Model development and analysis, Fuel, 207, 522, 10.1016/j.fuel.2017.06.125 Jiang, 2020, Controlling effects of differential swelling index on evolution of coal permeability, J Rock Mech Geotech Eng, 12, 461, 10.1016/j.jrmge.2020.02.001 Jones, 1980, A laboratory study of low-permeability gas sands, J Petroleum Technol, 32, 1631, 10.2118/7551-PA Heid, 1950, Study of the permeability of rocks to homogeneous fluids Sampath, 1982, Factors affecting gas slippage in tight sandstones of Cretaceous age in the Uinta Basin, J Petroleum Technol, 34, 2715, 10.2118/9872-PA Zhou, 2016, Evolution of coal permeability with cleat deformation and variable Klinkenberg effect, Transp Porous Media, 115, 153, 10.1007/s11242-016-0759-y Gaus, 2019, Gas permeability tests on core plugs from unconventional reservoir rocks under controlled stress: A comparison of different transient methods, J Nat Gas Sci Eng, 65, 224, 10.1016/j.jngse.2019.03.003 Rushing, 2004, Klinkenerg-corrected permeability measurements in tight gas sands: Steady-state versus unsteady-state techniques Sander, 2017, Laboratory measurement of low permeability unconventional gas reservoir rocks: a review of experimental methods, J Nat Gas Sci Eng, 37, 248, 10.1016/j.jngse.2016.11.041 Peng, 2021, Advanced understanding of gas flow and the Klinkenberg effect in nanoporous rocks, J Petroleum Sci Eng, 206, 109047, 10.1016/j.petrol.2021.109047 Wang, 2011, Permeability evolution in fractured coal: The roles of fracture geometry and water-content, Int J Coal Geol, 87, 13, 10.1016/j.coal.2011.04.009 Dicker, 1988, A practical approach for determining permeability from laboratory pressure-pulse decay measurements Mukherjee, 2021, Role of pore-size distribution in coals to govern the Klinkenberg coefficient and intrinsic permeability, Energy Fuels, 35, 9561, 10.1021/acs.energyfuels.1c00480 Bernabe, 1986, The effective pressure law for permeability in Chelmsford granite and Barre granite, Int J Rock Mech Min Sci Geomech Abstr, 23, 267, 10.1016/0148-9062(86)90972-1 Li, 2009, Effective pressure law for permeability of E-Bei sandstones, J Geophys Res Solid Earth, 114, B07205, 10.1029/2009JB006373 Wang, 2019, Reassessment of coal permeability evolution using steady-state flow methods: The role of flow regime transition, Int J Coal Geol, 211, 10.1016/j.coal.2019.103210 Feng, 2017, An optimized transient technique and flow modeling for laboratory permeability measurements of unconventional gas reservoirs with tight structure, J Nat Gas Sci Eng, 46, 603, 10.1016/j.jngse.2017.08.032 Knudsen, 1909, Die gesetze der molekularströmung und der inneren reibungsströmung der gase durch röhren, Ann Phys, 333, 75, 10.1002/andp.19093330106 Cao, 2016, A new approach for measuring the permeability of shale featuring adsorption and ultra-low permeability, J Nat Gas Sci Eng, 30, 548, 10.1016/j.jngse.2016.02.015 Gensterblum, 2014, Gas permeability measurements on Australian subbituminous coals: Fluid dynamic and poroelastic aspects, J Nat Gas Sci Eng, 19, 202, 10.1016/j.jngse.2014.04.016 Jaeger, 2009 Liu, 2009, On the relationship between stress and elastic strain for porous and fractured rock, Int J Rock Mech Min Sci, 46, 289, 10.1016/j.ijrmms.2008.04.005 Wang, 2012, A mechanistic model for permeability evolution in fractured sorbing media, J Geophys Res Solid Earth, 117, B06205, 10.1029/2011JB008855 Chen, 2012, Influence of the effective stress coefficient and sorption-induced strain on the evolution of coal permeability: model development and analysis, Int J Greenh Gas Control, 8, 101, 10.1016/j.ijggc.2012.01.015 Zagorščak, 2017, Experimental study of the Klinkenberg effect on the gas permeability of coal, Diffusion Found, 10, 83, 10.4028/www.scientific.net/DF.10.83 Walsh, 1981, Effect of pore pressure and confining pressure on fracture permeability, Int J Rock Mech Min Sci Geomech Abstr, 18, 429, 10.1016/0148-9062(81)90006-1 Hol, 2014, Sorption and changes in bulk modulus of coal—experimental evidence and governing mechanisms for CBM and ECBM applications, Int J Coal Geol, 128–129, 119, 10.1016/j.coal.2014.04.010