We derive and analytically and numerically solve statistical moment equations for immiscible flow in porous media in the limit of vanishing capillary pressure, with application to secondary oil recovery. Mean and variance of (water) saturation exhibit a bimodal character; two shocks replace the single shock front evident in the classical Buckley--Leverett saturation profile.
Revised: August 10, 2011 |
Published: July 1, 2002
Citation
Jarman K.D., and T.F. Russell. 2002.Analysis of I-D Moment Equations for Immiscible Flow. In Fluid Flow and Transport in Porous Media: Mathematical and Numerical Treatment (Proceedings of an AMS-IMS-SIAM Joint Summer Research Conference on Fluid Flow and Transport in Porous Media, June 17-21, 2001), edited by Zhangxin Chen, Richard E. Ewing, 293. Providence, Rhode Island:American Mathematical Society.PNNL-SA-37262.