Boundary Solutions to Two Problems in Porous Media

by Philip La-Fan Liu, (A.M.ASCE), Asst. Prof.; School of Civ. and Environmental Engrg., Cornell Univ., Ithaca, N.Y.,
James A. Liggett, (M.ASCE), Prof.; School of Civ. and Environmental Engrg., Cornell Univ., Ithaca, N.Y.,


Serial Information: Journal of the Hydraulics Division, 1979, Vol. 105, Issue 3, Pg. 171-183


Document Type: Journal Paper

Abstract: The boundary integral equation method (BIEM) is used to solve free surface ground-water problems. The formulation includes those problems in which the domain of the solution is infinite. Two methods are presented which treat infinite domains efficiently using the BIEM. These methods are illustrated by a two-dimensional recharge problem and by the flow through a dike on a pervious foundation. The BIEM solutions are compared to experimental data. Excellent agreement is observed.

Subject Headings: Domain boundary | Two-dimensional flow | Integrals | Integral equations | Boundary element method | Free surfaces | Groundwater | Levees and dikes

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