Flow of Immiscible Fluids in Porous Media: Exact Solution of a Free Boundary Problem

Abstract

A mathematically exact solution is obtained of a two-dimensional free boundary problem arising in the flow of two immiscible fluids in porous media. The particular problem dealt with concerns the ``fingering'' of water toward a line of equally-spaced oil wells that penetrate a thin, dipping sand. The solution is obtained by use of the hodograph plane and complex variable theory.