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A Galerkin in Time, Linearized Finite Element Model of 2-Dimensional Unsaturated Porous Media Drainage¹

ABSTRACT

Two-dimensional drainage in porous media by a modified finite element technique is examined. This technique consists of using Galerkin's method on the temporal as well as the spatial dimensions and coupling it with a simple linearizing scheme (considering physical properties constant over individual elements).

We apply this method to four separate drainage problems, two of which have been studied previously by other authors. With both of the previous studied problems, our results compared well.

¹ Journal Paper no. J-9339 of the Iowa Agric. and Home Economics Exp. Stn., Ames, Iowa. Projects no. 1888 and 2166. Research supported by National Science Foundation Grant No. ENG 75-19394 and by Cooperative State Research Service Special Grant No. 684-15-2 under the Mineland Reclamation Research Program.

² Research Associate, Professor of Agronomy and Physics, and Professor of Mathematics and Computer Science, Iowa State University, Ames, IA 50011. The senior author is now Assistant Professor in the Dep. of Agronomy, Purdue Univ., West Lafayette, IN 47907.

Received for publication November 15, 1978. Accepted for publication February 20, 1979.