Abstract
Transport models for gas flow in unconventional hydrocarbon reservoirs possess several model parameters such as the density (ρ) , the permeability (K) , the Knudsen number (K n ), that are strongly dependent upon the pressure p. Each physical parameter, say γ, in the system has an associated compressibility factor ζ γ = ζ γ ( p) (which is the relative rate of change of the parameter with respect to changes in the pressure, Ali I et al. (2014, Time-fractional nonlinear gas transport equation in tight porous media: an application in unconventional gas reservoirs. In: 2014 international conference on fractional differentiation and its applications (ICFDA), Catania, pp 1–6, IEEE)). Previous models have often assumed that ζ γ = Const, such as Cui (Geofluids 9(3):208–223, 2009), and Civan (Transp Porous Media 86(3):925–944, 2011). Here, we investigate the effect of selected compressibility factors (real gas deviation factor (ζ Z ), gas density (ζ ρ ), gas viscosity (ζ μ ), permeability (ζ K ), and the porosity (ζ ϕ ) of the source rock) as functions of the pressure upon rock properties such as K and ϕ. We also carry out a sensitivity analysis to estimate the importance of each model parameter. The results are compared to available data.
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Acknowledgements
The authors would like to acknowledge the support provided by King Abdulaziz City for Science and Technology (KACST) through the Science Technology Unit at King Fahd University of Petroleum and Minerals (KFUPM) for funding this work through project No. 14-OIL280-04.
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Ali, I., Chanane, B., Malik, N.A. (2016). Compressibility Coefficients in Nonlinear Transport Models in Unconventional Gas Reservoirs. In: Bélair, J., Frigaard, I., Kunze, H., Makarov, R., Melnik, R., Spiteri, R. (eds) Mathematical and Computational Approaches in Advancing Modern Science and Engineering. Springer, Cham. https://doi.org/10.1007/978-3-319-30379-6_1
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DOI: https://doi.org/10.1007/978-3-319-30379-6_1
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