Specific yield for a two-dimensional flow

Tritscher, Peter, Read, W. Wayne, and Broadbridge, Philip (2000) Specific yield for a two-dimensional flow. Water Resources Research, 36 (6). pp. 1393-1420.

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We investigate the systematic secular spatial variation of specific yield. As a vehicle for this analysis we consider a canonical unconfined aquifer consisting of a porous zone whose cross section is a simple long rectangle. The hydraulic conductivity in the unsaturated zone is modeled by the quasi-linear approximation. We find that locally the specific yield may be strongly influenced by the water table depth and mildly dependent on the recharge rate if that rate is high. For the simple geometry considered, a lateral component of flow has been found to have an insignificant effect on the local specific yield and that a model that assumes locally purely vertical flow to the given phreatic surface provides a more-than-adequate estimate of the specific yield. For the overall yield of an aquifer we find that the simplest model, wherein the flow through the soil is neglected, i.e., the model with static water and horizontal phreatic surface, provides a reasonable indication of the actual specific yield for most infiltration rates and aquifer dimensions. However, if the infiltration rate is high or the aquifer is particularly long, then the yield obtained from an assumed purely vertical flow, presupposing that the phreatic depth is accurately known, gives an excellent estimate of the actual specific yield.

Item ID: 13044
Item Type: Article (Research - C1)
ISSN: 1944-7973
Keywords: analytic series; free boundary; iterative seepage and infiltration; laplacian equation; mixed boundary
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© 2000. American Geophysical Union. All Rights Reserved. Further reproduction or electronic distribution is not permitted.

Date Deposited: 16 Jul 2013 05:18
FoR Codes: 01 MATHEMATICAL SCIENCES > 0199 Other Mathematical Sciences > 019999 Mathematical Sciences not elsewhere classified @ 51%
01 MATHEMATICAL SCIENCES > 0103 Numerical and Computational Mathematics > 010301 Numerical Analysis @ 49%
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