June 22-27, 2014
We model the transport of fluid through porous media in terms of fractional diffusion equation (FDE) for the pressure (,)pxt. Potential application could be to shale gas recovery in tight porous media. Specifically, we pose the time FDE in a finite domain of length L.
Iftikhar Ali, Nadeen Malik, and Bilal Chanane, "Fractional diffusion model for transport through porous media" in "5th International Conference on Porous Media and Their Applications in Science, Engineering and Industry", Prof. Kambiz Vafai, University of California, Riverside; Prof. Adrian Bejan, Duke University; Prof. Akira Nakayama, Shizuoka University; Prof. Oronzio Manca, Seconda Università degli Studi Napoli Eds, ECI Symposium Series, (2014). http://dc.engconfintl.org/porous_media_V/31