In this paper the fluid flow through some composite channels has been investigated in the physical parameter ranges appropriate to some flows in geological applications. In particular, we have considered the fluid flow through a composite channel that has undergone a vertical fracture. The vertical connecting channel is also composed of a composite material. In such physical situations, the materials undergo several orders of magnitude changes in their Darcy numbers. This results in very large changes in the pressure in the vicinity of the interfaces between these materials. Therefore it is necessary to develop mathematical and numerical techniques to deal with such situations and in this paper an approach is presented.
Issue Section:
Technical Papers
1.
Nield
, D. A.
, and Bejan
, A.
, 1999, Convection in Porous Media
, Springer-Verlag
, NY, 2nd ed.2.
Ingham
, D. B.
, and Pop
, I.
, 1998, Transport Phenomena in Porous Media
, Vol. 1
, Pergamon
, Elsevier Science, Oxford.3.
Ingham
, D. B.
, and Pop
, I.
, 2001, Transport Phenomena in Porous Media
, Vol. 2
, Pergamon
, Elsevier Science, Oxford.4.
Darcy
, H. P. C.
, 1856, Les Fontaines Publiques de la Ville de Dijon
, Victor Dalmont
, Paris.5.
Scheidegger
, A. E.
, 1974, The Physics of Flow through Porous Media
, University of Toronto Press
, Toronto.6.
Clennell
, B.
, 1997, “Fluid Flow Transients in the Petrophysical Characterisation of Reservoir Rocks
,” Internal Report for the Rock Deformation Research, Dept. of Earth Sciences, University of Leeds
.7.
Lesnic
, D.
, Elliott
, L.
, Ingham
, D. B.
, Clennell
, B.
, and Knipe
, R. J.
, 1998, An Inverse Problem to Determine the Piecewise Homogeneous Hydraulic Conductivity within Rocks
, Faulting, Fault Sealing and Fluid Flow in Hydrocarbon Reservoirs
, 147
, pp. 261
–268
.8.
Al-Hadhrami
, A. K.
, 2003, Flows Through Horizontal Channels of Porous Materials
, Int. J. Energy Res.
0363-907X, 27
, pp. 875
–889
.9.
Wen
, X.
, and Ingham
, D. B.
, 1993, “A New Method for Accelerating the Rate of Convergence of the SIMPLE-like Algorithm
,” Int. J. Numer. Methods Fluids
0271-2091, 17
, pp. 385
–400
.10.
Wen
, X.
, and Ingham
, D. B.
, 1994, “A New Method for Accelerating the Rate of Convergence of the SIMPLE-like Algorithm for Flow Through a Thin Filter
,” Int. J. Numer. Methods Fluids
0271-2091, 19
, pp. 889
–903
.Copyright © 2006
by American Society of Mechanical Engineers
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