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Geofísica internacional

On-line version ISSN 2954-436XPrint version ISSN 0016-7169

Geofís. Intl vol.44 n.3 Ciudad de México Jul./Sep. 2005

 

Articles

An incomplete factorization technique for fast numerical solution of steady-state groundwater flow problems

V. Sabinin1 

1Instituto Mexicano del Petróleo (IMP), Eje Central Lazaro Cárdenas, 152, México, D.F., México. Email: vsabinin@yahoo.com


ABSTRACT

The effectiveness of a new iterative technique for solving finite-difference equations is demonstrated for steady-state problems of hydrodynamics of groundwater flow.

KEY WORDS: Incomplete factorization; steady-state problem; underground hydrodynamics

RESUMEN

Se presenta una técnica nueva iterativa para resolver ecuaciones de diferencias finitas en problemas estables de hidrodinámica subterránea.

PALABRAS CLAVE: Factorización incompleta; problema estable; hidrodinámica subterránea

Full text available only in PDF format.

BIBLIOGRAPHY

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GUO, B.; J-E. MOLINARD and R. L. LEE, 1992. A general solution of gas/water coning problem for horizontal wells, paper 25050 presented at the 1992 European Petroleum Conference, Cannes, France, 10 p. [ Links ]

SABININ, V. I., 1980. Numerical solution of the horizontal systematic drainage problem with zone of incomplete saturation. Dinamika sploshnoi sredy, Novosibirsk, Russia, 46, 122-136 (in Russian). [ Links ]

SABININ, V. I., 1981. Numerical solution of the 3D filtration problem with incomplete saturation. Dinamika sploshnoi sredy, Novosibirsk, Russia, 51, 129-141 (in Russian). [ Links ]

SABININ, V. I., 1985. On one algorithm of the method of incomplete factorization. Chislennye metody mechaniki sploshnoi sredy, Novosibirsk, Russia, 16, 2, 103-117 (in Russian). [ Links ]

SABININ, V. I., 1999. The solution to a problem of ground-water salt-heat transport by an incomplete factorization technique. Siberian J. of Numer. Mathem. / Sib. Branch of Rus. Acad. of Sci., Novosibirsk, Russia, 2, 1, 69-80 (in Russian). [ Links ]

SAMARSKY, A. A. and E. S. NIKOLAEV, 1978. Methods of solution of grid equations. Moscow, Russia, "Nauka", 592 p (in Russian). [ Links ]

TOTH, J., 1962. A theory of groundwater motion in small drainage basins in Central Alberta, Canada. J. Geophys. Res., 67, 11, 4375-4387. [ Links ]

WACHSPRESS, E. L., 1962. Optimum alternating-direction-implicit iteration parameters for a model problem. J. Soc. Indust. Appl. Math., 10, 339-350. [ Links ]

Received: October 29, 2004; Accepted: February 10, 2005

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