Comparison of control volume analysis and porous media averaging for formulation of porous media transport

Abstract

Although the porous media averaging is frequently used it creates many difficulties in handling of the closure problems. The control volume analysis on the other hand can avoid such difficulties in a practical manner. Thus, the outstanding and complementary features of these two approaches used in the macroscopic formulation of transport through porous media are critically reviewed, compared, and evaluated. Several instructive examples are presented demonstrating their applications with various improvements.