Mass flow rate prediction of shale gas considering gas diffusion and water film evaporation

References

• S. Hai, J. Yao, D. Y. Fan, C. C. Wang, and Z. X. Sun, “Gas transport mode criteria in ultra-tight porous media,” Int. J. Heat Mass Transfer, vol. 83, pp. 192–199, 2015. DOI: 10.1016/j.ijheatmasstransfer.2014.11.075.
   Web of Science ®Google Scholar
• F. Javadpour, “Nanopores and apparent permeability of gas flow in mudrocks,” J. Can. Petrol. Technol., vol. 48, no. 8, pp. 16–21, 2009. DOI: 10.2118/09-08-16-DA.
   Google Scholar
• N. Shah, P. Dhar, S. K. Chinige, M. Geier, and A. Pattamatta, “Cascaded collision lattice Boltzmann model (CLBM) for simulating fluid and heat transport in porous media,” Numerical Heat Transfer, Part B: Fundamentals, vol. 72, no. 3, pp. 211–232, 2017. DOI: 10.1080/10407790.2017.1377530.
   Web of Science ®Google Scholar
• F. Amin and A. Malek, “Spectral Fourier–Galerkin benchmark solution for natural convection in an inclined saturated porous medium,” Numerical Heat Transfer, Part B: Fundamentals, vol. 71, no. 4, pp. 372–395, 2017. DOI: 10.1080/10407790.2016.1265300.
   Web of Science ®Google Scholar
• M. J. S. de Lemos and E. J. Braga, “Use of porous-continuum and continuum models for determining the permeability of porous cavities under turbulent free convection,” Numerical Heat Transfer, Part B: Fundamentals, vol. 73, no. 2, pp. 78–93, 2018. DOI: 10.1080/10407790.2017.1420328.
   Web of Science ®Google Scholar
• R. J. Ambrose, R. C. Hartman, M. Diaz Campos, I. Y. Akkutlu, and C. Sondergeld, “New pore-scale considerations for shale gas in place calculations,” SPE Unconventional Gas Conf. Soc. Petrol. Eng., vol. 17, no. 1, pp. 219–229, 2010. DOI: 10.2118/131772-PA.
   Google Scholar
• Q. R. Passey, K. Bohacs, W. L. Esch, R. Klimentidis, and S. Sinha, “From oil-prone source rock to gas-producing shale reservoir-geologic and petrophysical characterization of unconventional shale gas reservoirs,” Int. Oil Gas Conf. Exhibition China, Soc. Petrol. Eng., 2010. DOI: 10.2118/131350-MS.
   Google Scholar
• V. Swami and A. Settari, A pore scale gas flow model for shale gas reservoir, SPE Americas Unconventional Resources Conference, Society of Petroleum Engineers, DOI: 10.2118/155756-MS.
   Google Scholar
• J. Liu, J. Wang, F. Gao, Y. Ju, and F. Tang, “Impact of micro-and macro-scale consistent flows on well performance in fractured shale gas reservoirs,” J. Nat. Gas Sci. Eng., vol. 36, pp. 1239–1252, 2016. DOI: 10.1016/j.jngse.2016.05.005.
   Web of Science ®Google Scholar
• H. Song et al., “Numerical investigation of gas flow rate in shale gas reservoirs with nanoporous media,” Int. J. Heat Mass Transf., vol. 80, pp. 626–635, 2015. DOI: 10.1016/j.ijheatmasstransfer.2014.09.039.
   Web of Science ®Google Scholar
• W. Song, J. Yao, J. Ma, G. Couples, and Y. Li, “Assessing relative contributions of transport mechanisms and real gas properties to gas flow in nanoscale organic pores in shales by pore network modelling,” Int. J. Heat Mass Transf., vol. 113, pp. 524–537, 2017. DOI: 10.1016/j.ijheatmasstransfer.2017.05.109.
   Web of Science ®Google Scholar
• J. Li, X. Li, K. Wu, D. Feng, T. Zhang, and Y. Zhang, “Thickness and stability of water film confined inside nanoslits and nanocapillaries of shale and clay,” Int. J. Coal Geol., vol. 179, pp. 253–268, 2017. DOI: 10.1016/j.coal.2017.06.008.
   Web of Science ®Google Scholar
• J.-P. Korb, B. Nicot, A. Louis-Joseph, S. Bubici, and G. Ferrante, “Dynamics and wettability of oil and water in oil shales,” J. Phys. Chem. C, vol. 118, no. 40, pp. 23212–23218, 2014. DOI: 10.1021/jp508659e.
   Web of Science ®Google Scholar
• E. Zuluaga, N. Muñoz, and G. Obando, An experimental study to evaluate water vaporisation and formation damage caused by dry gas flow through porous media, International Symposium on Oilfield Scale, Society of Petroleum Engineers, 2001. DOI: 10.2118/68335-MS.
   Google Scholar
• C. L. Cipolla, E. Lolon, and M. J. Mayerhofer, Reservoir modeling and production evaluation in shale-gas reservoirs, International petroleum technology conference, International Petroleum Technology Conference, 2009. DOI: 10.2523/IPTC-13185-MS.
   Google Scholar
• W. Song et al., “Apparent gas permeability in an organic-rich shale reservoir,” Fuel, vol. 181, pp. 973–984, 2016. DOI: 10.1016/j.fuel.2016.05.011.
   Web of Science ®Google Scholar
• J. Shi et al., “Diffusion and flow mechanisms of shale gas through matrix pores and gas production forecasting, SPE Unconventional Resources Conference Canada,” Soc. Petrol. Eng., 2013. DOI: 10.2118/167226-MS.
   Google Scholar
• K. Wu, X. Li, C. Guo, C. Wang, and Z. Chen, “A unified model for gas transfer in nanopores of shale-gas reservoirs: Coupling pore diffusion and surface diffusion,” Spe J., vol. 21, no. 5, pp. 1583, 583–581, 611, 2016. DOI: 10.2118/2014-1921039-PA.
   Web of Science ®Google Scholar
• J. Li et al., “Water distribution characteristic and effect on methane adsorption capacity in shale clay,” Int. J. Coal Geol., vol. 159, pp. 135–154, 2016. DOI: 10.1016/j.coal.2016.03.012.
   Web of Science ®Google Scholar
• Z. Sun, X. Li, J. Shi, T. Zhang, and F. Sun, “Apparent permeability model for real gas transport through shale gas reservoirs considering water distribution characteristic,” Int. J. Heat Mass Transf., vol. 115, pp. 1008–1019, 2017. DOI: 10.1016/j.ijheatmasstransfer.2017.07.123.
   Web of Science ®Google Scholar
• A. Zolfaghari, H. Dehghanpour, and M. Xu, “Water sorption behaviour of gas shales: II. Pore size distribution,” Int. J. Coal Geol., vol. 179, pp. 187–195, 2017. DOI: 10.1016/j.coal.2017.05.009.
   Web of Science ®Google Scholar
• A. Jarrahian and E. Heidaryan, “A simple correlation to estimate natural gas viscosity,” J. Nat. Gas Sci. Eng., vol. 20, pp. 50–57, 2014. DOI: 10.1016/j.jngse.2014.06.004.
   Web of Science ®Google Scholar
• I. Langmuir, “The constitution and fundamental properties of solids and liquids. Part I. Solids,” J. Am. Chem. Soc., vol. 38, no. 11, pp. 2221–2295, 1916. DOI: 10.1021/ja02268a002.
   Google Scholar
• Z. Li, L. Ming, and Z. Yaping, “Adsorption measurement and its theorical analysis of supercritical methane on activated carbon with high surface area,” Sci. China (Series B), vol. 30, no. 1, pp. 49–56, 2000.
   Google Scholar
• V. Shabro, C. Torres-Verdin, and F. Javadpour, Numerical simulation of shale-gas production: From pore-scale modeling of slip-flow, Knudsen diffusion, and Langmuir desorption to reservoir modeling of compressible fluid, North American Unconventional Gas Conference and Exhibition, Society of Petroleum Engineers, 2011. DOI: 10.2118/144355-MS.
   Google Scholar
• K. Wu, X. Li, C. Wang, W. Yu, and Z. Chen, “Model for surface diffusion of adsorbed gas in nanopores of shale gas reservoirs,” Ind. Eng. Chem. Res., vol. 54, no. 12, pp. 3225–3236, 2015. DOI: 10.1021/ie504030v.
   Web of Science ®Google Scholar
• L. Guo, X. Peng, and Z. Wu, “Dynamical characteristics of methane adsorption on monolith nanometer activated carbon,” J. Chem. Ind. Eng. (China), vol. 59, no. 11, pp. 2726–2732, 2008. DOI: 10.1007/s11670-008-0115-z.
   Google Scholar
• Y. Chen and R. Yang, “Concentration dependence of surface diffusion and zeolitic diffusion,” AIChE J., vol. 37, no. 10, pp. 1579–1582, 1991. DOI: 10.1002/aic.690371015.
   Web of Science ®Google Scholar
• F. Javadpour, D. Fisher, and M. Unsworth, “Nanoscale gas flow in shale gas sediments,” J. Can. Petrol. Technol., vol. 46, no. 10, pp. 56–61, 2007. DOI: 10.2118/07-10-06.
   Google Scholar
• H. Sui, Molecular Simulation of Adsorption Behavior of Shale Gas in Clay. China: Southwest Petroleum University, 2016.
   Google Scholar
• W. Loebenstein, “Calculations and comparisons of nonideal gas corrections for use in gas adsorption,” J. Colloid Interface Sci., vol. 36, no. 3, pp. 397–400, 1971. DOI: 10.1016/0021-9797(71)90011-7.
   Web of Science ®Google Scholar
• L. Pan et al., “A preliminary study on the characterization and controlling factors of porosity and pore structure of the Permian shales in Lower Yangtze region, Eastern China,” Int. J. Coal Geol., vol. 146, pp. 68–78, 2015. DOI: 10.1016/j.coal.2015.05.005.
   Web of Science ®Google Scholar
• X. Liu, Shale Petrological Characteristics and Its Influence on the Amount of Adsorbed Gas. China: Southwest Petroleum University, 2015.
   Google Scholar
• L. I. Bo Wen et al., “The influence factor of adsorbed gas of marine and transitional facies shale and the difference of influence factor,” Sci. Technol. Eng. (China), vol. 17, pp. 44–51, 2017.
   Google Scholar
• F. Yang, Z. Ning, R. Zhang, H. Zhao, and B. M. Krooss, “Investigations on the methane sorption capacity of marine shales from Sichuan Basin, China,” Int. J. Coal Geol., vol. 146, pp. 104–117, 2015. DOI: 10.1016/j.coal.2015.05.009.
   Web of Science ®Google Scholar