Eur. Phys. J. Plus (2017) 132: 129
https://doi.org/10.1140/epjp/i2017-11414-0

Regular Article

Analytical solution of the apparent-permeability gas-transport equation in porous media

¹ Collage of Engineering, Effat University, 21478, Jeddah, Saudi Arabia
² Mathematics Department, Faculty of Science, Aswan University, Aswan 81528, Aswan, Egypt

^* e-mail: mohamed.elamin.kaust@gmail.com

Received: 27 December 2016
Accepted: 16 February 2017
Published online: 16 March 2017

Abstract

The current paper is concerned with the power-series solution of the apparent permeability (Klinkenberg) model of gas transport in porous media. The one-dimensional radial partial differential equation has been transformed into an ordinary differential equation using a universal transform. The transformed equation has been solved using the infinite power-series technique. Results are obtained for various values of the given physical parameters and represented in graphs. We have presented results for both Dirichlet and Neumann boundary conditions at the well to express, respectively, the pressure and the flow rate at the well.