ABSTRACT

As noted in §1.3, the solutions for unsteady flow in porous media reduce to obtaining the fundamental solution. The fundamental solution will satisfy the homogeneous boundary conditions of the original problem. In this chapter, we establish the framework for examining three-dimensional flow in porous media by deriving fundamental solutions subject to Dirichlet, Neumann, or mixed boundary-conditions. Solutions are expressed in terms of the Laplace transformation and are derived by the well-known method of images.