Series solutions for seepage in three dimensional aquifers

Journal Publication ResearchOnline@JCU
Read, W.W.;Belward, S.R.;Higgins, P.J.;Sneddon, G.E.
Shaun BelwardPatrick Higgins
Abstract

Most models of seepage in homogeneous aquifers assume a two dimensional flow regime. We present a series method that can be used to provide three dimensional solutions for saturated seepage problems in real time. The aquifer lies on a horizontal aquiclude and can have arbitrary soil surface geometry. We show that exponential convergence can be achieved for the correct choice of soil surface representation. The series solutions obtained are used to generate velocity profiles and streamline solutions, once again in real time. These solutions demonstrate the significant differences between two and three dimensional models of seepage.

Journal

ANZIAM Journal

Publication Name

ANZIAM Journal

Volume

46

ISBN/ISSN

1446-8735

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Pages Count

15

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Publisher

Cambridge University Press

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Publisher Location

Canberra, Australia

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