TY - JOUR
T1 - Effective parameters for flow in saturated heterogeneous porous media
AU - Chrysikopoulos, Constantinos V.
N1 - Funding Information:
Useful discussions with Professor Peter K. Kitanidis are gratefully acknowledged. Appreciation is extended to Professor David R. Maidment for his helpful suggestions. This work has been supported in part by a UC1 Research Faculty Fellowship (IRF-93/94-34), provided by the Academic Senate Committee on Research.
PY - 1995/8
Y1 - 1995/8
N2 - Effective parameters for flow in saturated porous media are obtained via Taylor-Aris-Brenner moment analysis considering both periodic as well as stationary porous medium properties. It is assumed that a slug is instantaneously introduced into an unbounded, anisotropic porous medium having a compressible matrix, and that the correlation length of the local hydraulic conductivity and specific storage fluctuations is smaller than the correlation length of hydraulic head fluctuations (gradually varying flow). It is shown that the effective specific storage is equal to its volume average. The effective hydraulic conductivity is derived by a small-perturbation analysis and it is shown to consist of its volume average and of a second term which accounts for the 'small' local conductivity fluctuations.
AB - Effective parameters for flow in saturated porous media are obtained via Taylor-Aris-Brenner moment analysis considering both periodic as well as stationary porous medium properties. It is assumed that a slug is instantaneously introduced into an unbounded, anisotropic porous medium having a compressible matrix, and that the correlation length of the local hydraulic conductivity and specific storage fluctuations is smaller than the correlation length of hydraulic head fluctuations (gradually varying flow). It is shown that the effective specific storage is equal to its volume average. The effective hydraulic conductivity is derived by a small-perturbation analysis and it is shown to consist of its volume average and of a second term which accounts for the 'small' local conductivity fluctuations.
UR - http://www.scopus.com/inward/record.url?scp=0029347254&partnerID=8YFLogxK
U2 - 10.1016/0022-1694(94)02675-2
DO - 10.1016/0022-1694(94)02675-2
M3 - Article
AN - SCOPUS:0029347254
SN - 0022-1694
VL - 170
SP - 181
EP - 197
JO - Journal of Hydrology
JF - Journal of Hydrology
IS - 1-4
ER -