Computer Analysis of Free Surface Well Flow

by Willem F. Brutsaert, Asst. Prof. of Ground Water Hydro.; New Mexico Inst. of Mining and Technol., Socorro, NM,
E. Allen Breitenback, Assoc. Prof. of Civ. Engrg.; Colorado State Univ., Fort Collins, CO; Pres. of Scientific Software Corp., Denver, CO,
Daniel K. Sunada, (A.M.ASCE), Assoc. Prof. of Civ. Engrg.; Colorado State Univ., Fort Collins, CO,


Serial Information: Journal of the Irrigation and Drainage Division, 1971, Vol. 97, Issue 3, Pg. 405-420


Document Type: Journal Paper

Abstract: A mathematical analog of immiscible multiphase well flow, considering three compressible fluids—two liquids and one gas—is solved with fully implicit finite differences. A Newton iteration scheme is utilized to solve the system of nonlinear difference equations. The method is applied to free surface gravity well flow, including the effect of partial penetration. The importance of capillarity, of air dissolved in water, of water compressibility, as well as the effect of the multiphase flow approach upon the shape of the free surface, are analyzed.

Subject Headings: Wells (water) | Free surfaces | Overland flow | Free flow | Fluid flow | Compression | Computer analysis | Mathematics

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