Numerical prediction of the decline of the shale gas production rate with considering the geomechanical effects based on the two-part Hooke’s model

Cipolla, 2009, Reservoir modeling in shale-gas reservoirs Jackson, 2014, The environmental costs and benefits of fracking, Annu Rev Environ Resour, 39, 327, 10.1146/annurev-environ-031113-144051 Baihly, 2010, Shale gas production decline trend comparison over time and basins Arps, 1945, Analysis of decline curves, SPE J, 160, 228 Ilk, 2008, Exponential vs. hyperbolic decline in tight gas sands – understanding the origin and implications for reserve estimates using Arps’ decline curves Fetkovich, 1980, Decline curve analysis using type curves, J Petrol Technol, 32, 1065, 10.2118/4629-PA Fetkovich, 1990, Depletion performance of layered reservoirs without crossflow, SPE Format Eval, 5, 310, 10.2118/18266-PA Javadpour, 2007, Nanoscale gas flow in shale gas sediments, J Can Petrol Technol, 46, 55, 10.2118/07-10-06 Javadpour, 2009, Nanopores and apparent permeability of gas flow in mudrocks (shales and siltstone), J Can Petrol Technol, 48, 16, 10.2118/09-08-16-DA Shabro, 2011, Numerical simulation of shale-gas production: from pore-scale modeling of slip-flow, Knudsen diffusion, and Langmuir desorption to reservoir modeling of compressible fluid Blasingame, 2008, The characteristic flow behavior of low-permeability reservoir systems Sun, 2015, Understanding shale gas flow behavior using numerical simulation, SPE J, 20, 142, 10.2118/167753-PA Wang, 2015, Permeability of high-Kn real gas flow in shale and production prediction by pore-scale modeling, J Nat Gas Sci Eng, 28, 328, 10.1016/j.jngse.2015.11.049 Wang, 2013 Jin, 2014, Effect of water on methane and carbon dioxide sorption in clay minerals by Monte Carlo simulations, Fluid Phase Equilibr, 38, 210 Huang, 2015, Multi-physics pore-network modeling of two-phase shale matrix flows, Transp Porous Med, 111, 1 Cheng, 2012, Impact of water dynamics in fractures on the performance of hydraulically fractured wells in gas shale reservoirs, J Can Petrol Technol, 51, 143, 10.2118/127863-PA Akkutlu, 2012, Multiscale gas transport in shales with local kerogen heterogeneities Ozkan, 2011, Comparison of fractured-horizontal-well performance in tight sand and shale reservoirs, SPE Reserv Eval Eng, 14, 248, 10.2118/121290-PA Ozkan, 2010, Modeling of fluid transfer from shale matrix to fracture network Cao, 2016, A fully coupled multiscale shale deformation-gas transport model for the evaluation of shale gas extraction, Fuel, 178, 103, 10.1016/j.fuel.2016.03.055 Li, 2016, Breakdown pressure and fracture surface morphology of hydraulic fracturing in shale with H2O, CO2 and N2, Geomech Geophys Geo-Energy Geo-Resour, 2, 63, 10.1007/s40948-016-0022-6 Middleton, 2015, Shale gas and non-aqueous fracturing fluids: opportunities and challenges for supercritical CO2, Appl Energ, 147, 500, 10.1016/j.apenergy.2015.03.023 Fakcharoenphol, 2013, The effect of water-induced stress to enhance hydrocarbon recovery in shale reservoirs, SPE J, 18, 897, 10.2118/158053-PA Cho, 2012, Pressure-dependent natural-fracture permeability in shale and its effect on shale-gas well production Bažant, 2014, Why fracking works, J Appl Mech, 81, 101010, 10.1115/1.4028192 Gan, 2016, A continuum model for coupled stress and fluid flow in discrete fracture networks, Geomech Geophys Geo-Energy Geo-Resour, 2, 43, 10.1007/s40948-015-0020-0 Gensterblum, 2015, Gas transport and storage capacity in shale gas reservoirs – a review. Part A: Transport processes, J Unconv Oil Gas Resour, 12, 87, 10.1016/j.juogr.2015.08.001 Ghanizadeh, 2014, Experimental study of fluid transport processes in the matrix system of the European organic-rich shales: I. Scandinavian, Mar Petrol Geol, 51, 79, 10.1016/j.marpetgeo.2013.10.013 Heller, 2014, Experimental investigation of matrix permeability of gas shales, AAPG Bull, 98, 975, 10.1306/09231313023 Dong, 2010, Stress-dependence of the permeability and porosity of sandstone and shale from TCDP Hole-A, Int J Rock Mech Min Sci, 47, 1141, 10.1016/j.ijrmms.2010.06.019 Kwon, 2001, Permeability of Wilcox shale and its effective pressure law, J Geophys Res Sol Earth, 106, 19339, 10.1029/2001JB000273 Metwally, 2011, Measuring low permeabilities of gas-sands and shales using a pressure transmission technique, Int J Rock Mech Min Sci, 48, 1135, 10.1016/j.ijrmms.2011.08.004 Tinni, 2012, Shale permeability measurements on plugs and crushed samples Dewhurst, 1998, Compaction-driven evolution of porosity and permeability in natural mudstones: an experimental study, J Geophys Res Sol Earth, 103, 651, 10.1029/97JB02540 Zheng, 2015, Relationships between permeability, porosity and effective stress for low-permeability sedimentary rock, Int J Rock Mech Min Sci, 78, 304, 10.1016/j.ijrmms.2015.04.025 Li, 2013, A multiple-continuum model for simulation of gas production from shale gas reservoirs Davies, 2001, Stress-dependent permeability: characterization and modeling, Soc Petrol Eng J, 6, 224 Rutqvist, 2002, A modeling approach for analysis of coupled multiphase fluid flow, heat transfer, and deformation in fractured porous rock, Int J Rock Mech Min Sci, 39, 429, 10.1016/S1365-1609(02)00022-9 Yu, 1996, Modelling abnormal pressure development in sandstone/shale basins, Mar Petrol Geol, 13, 179, 10.1016/0264-8172(95)00036-4 Guo, 2010, Oil generation as the dominant overpressure mechanism in the Cenozoic Dongying depression, Bohai Bay Basin, China, AAPG Bull, 94, 1859, 10.1306/05191009179 Yang, 2016, Pore structure of Cambrian shales from the Sichuan Basin in China and implications to gas storage, Mar Petrol Geol, 70, 14, 10.1016/j.marpetgeo.2015.11.001 Al-Wardy, 2004, Effective stress law for the permeability of clay-rich sandstones, J Geophys Res Sol Earth, 109, 10.1029/2003JB002836 Ghabezloo, 2009, Effective stress law for the permeability of a limestone, Int J Rock Mech Min Sci, 46, 297, 10.1016/j.ijrmms.2008.05.006 Liu, 2013, Normal-stress dependence of fracture hydraulic properties including two-phase flow properties, Hydrogeol J, 21, 371, 10.1007/s10040-012-0915-6 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 Zhao, 2012, An elastic stress–strain relationship for porous rock under anisotropic stress conditions, Rock Mech Rock Eng, 45, 389, 10.1007/s00603-011-0193-y Liu, 2011, Constitutive relationships for elastic deformation of clay rock: data analysis, Rock Mech Rock Eng, 44, 463, 10.1007/s00603-010-0131-4 Loucks, 2012, Spectrum of pore types and networks in mudrocks and a descriptive classification for matrix-related mudrock pores, AAPG Bull, 96, 1071, 10.1306/08171111061 Jaeger, 2007 Sisavath, 2000, Effect of stress on the hydraulic conductivity of rock pores, Phys Chem Earth Pt A: Solid Earth Geodesy, 25, 163, 10.1016/S1464-1895(00)00026-0 Sisavath, 2001, Laminar flow through irregularly-shaped pores in sedimentary rocks, Transp Porous Med, 45, 41, 10.1023/A:1011898612442 Sisavath, 2003, A simple model for deviations from the cubic law for a fracture undergoing dilation or closure, Pure Appl Geophys, 160, 1009, 10.1007/PL00012558 Kilmer, 1987, Pressure sensitivity of low permeability sandstones, J Petrol Sci Eng, 1, 65, 10.1016/0920-4105(87)90015-5 Brower, 1985, Fluid flow in cracks as related to low-permeability gas sands, Soc Petrol Eng J, 25, 191, 10.2118/11623-PA Smith, 2009, Rock properties in low-porosity/low-permeability sandstones, Lead Edge, 28, 48, 10.1190/1.3064146 Spencer, 1989, Review of characteristics of low-permeability gas reservoirs in western United States, AAPG Bull, 73, 613 Byrnes, 2000, Comparison of core petrophysical properties between low-permeability sandstone reservoirs: Eastern US Medina group and Western US Mesaverde group and Frontier formation Witherspoon, 1980, Validity of cubic law for fluid flow in a deformable rock fracture, Water Resour Res, 16, 1016, 10.1029/WR016i006p01016 Zimmerman, 1996, Hydraulic conductivity of rock fractures, Transp Porous Med, 23, 1, 10.1007/BF00145263