Variational Principles for Fluid Flow in Porous Mediaby Shlomo P. Neuman, Sr. Sci.; Dept. Soils and Water, Volcani Inst. of Agric. Res., Bet Dagan, Israel; formerly, act. Asst. Prof., Dept. Civ. Engrg., Univ. of California, Berkeley, CA,
Paul A. Witherspoon, Professional Geol. Engr.; Dept. Civ. Engrg., Univ. of California, Berkeley, CA,
Serial Information: Journal of the Engineering Mechanics Division, 1971, Vol. 97, Issue 2, Pg. 359-374
Document Type: Journal Paper
Variational methods are being employed to an increasing degree in solving various types of transport problems. It appears that these methods will have increasing use in attacking many boundary-value problems concerned with fluid flow through porous media. The basic approach is to replace the boundary-value problem by an appropriate variational principle whose minimizing function is the solution to the problem. The material herein develops variational principles for several problems of confined and unconfined flow.
Subject Headings: Porous media flow | Fluid flow | Boundary value problem | Confined flow
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