ABSTRACT

The title of this chapter is somewhat of a misnomer. The content is intended to aid those who wish to develop efficient algorithms to compute pressure distributions in porous media. Brute-force application of the solutions given in Chapter III is computationally inefficient, and in some cases can be counterproductive. Thus, the aim here is to permit reconsideration of the solutions and recast them into forms that should aid computations. More importantly, we provide insight into the structure of the solutions. For example, we show that the solutions for pressure distributions in a parallelepiped contain the solutions for the corresponding system in a porous medium that is infinite in areal extent.