IJPAM: Volume 70, No. 7 (2011)

3-DIMENSIONAL MATHEMATICAL MODELLING OF
TEMPERATURE DISTRIBUTION IN POROUS MEDIA

G. Owuor Lawi$^1$, W. Alfred Manyonge$^2$
$^1$Department of Mathematics
Masinde Muliro University of Science and Technology
P.O. Box 190, Kakamega, 50100, KENYA
$^2$Department of Mathematics and Applied Statistics
Maseno University
Private Bag Maseno, KENYA


Abstract. An alternative method of the numerical solution of the heat equation is presented. A three-dimensional modelling approach is used in this paper rather than one or two dimensional models in order to account for the lateral heterogeneous thermal conductivity coefficients or the heat sources or sinks commonly encountered in geothermal reservoir engineering studies.

Received: June 4, 2011

AMS Subject Classification: 65C20

Key Words and Phrases: geothermal reservoir, finite differences

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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2011
Volume: 70
Issue: 7