Abstract
Unsaturated flow systems were studied which consisted of two-dimensional doublets embedded in a porous medium. The isolated flow regions formed around the doublets (source-sink combinations) were called Rankine bodies as a generalization of the classical geometries used in fluid mechanics for solutions to Laplace's equation. The motivation was to simulate unsaturated flow around subterranean objects, such as cavities and rock inclusions. The results were generally successful and patterns for single inclusions qualitatively matched more elaborate solutions based on scattering theory. A complex system (of five inclusions) was presented to simulate a layered case of rock inclusions within a profile.
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