Analytical Solution for Fractional Derivative Gas-Flow Equation in Porous Media
KAUST DepartmentPhysical Sciences and Engineering (PSE) Division
Earth Science and Engineering Program
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AbstractIn this paper, we introduce an analytical solution of the fractional derivative gas transport equation using the power-series technique. We present a new universal transform, namely, generalized Boltzmann change of variable which depends on the fractional order, time and space. This universal transform is employed to transfer the partial differential equation into an ordinary differential equation. Moreover, the convergence of the solution has been investigated and found that solutions are unconditionally converged. Results are introduced and discussed for the universal variable and other physical parameters such as porosity and permeability of the reservoir; time and space.
CitationEl Amin MF, Radwan AG, Sun S (2017) Analytical Solution for Fractional Derivative Gas-Flow Equation in Porous Media. Results in Physics. Available: http://dx.doi.org/10.1016/j.rinp.2017.06.051.
JournalResults in Physics
Except where otherwise noted, this item's license is described as © 2017. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/