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Cite Details

D. M. Tartakovsky, A. Guadagnini, X. Sanchez-Vila, M. Dentz and J. Carrera, "A perturbation solution to the transient Henry problem for seawater intrusion", in Proceedings of the XV International Conference "Computational Methods in Water Resources (CMWR 2004)", (Chapel Hill, North Carolina), pp. 1573-1582, Jun 2004

Abstract

Henry's formulation of seawater intrusion in coastal aquifers consists of a fully coupled system of flow and transport equations with variable density. While the Henry problem often serves as a benchmark for numerical codes, the accuracy of the existing analytical solutions is hard to gauge. We use a perturbation expansion in a small parameter, the ratio between the densities of seawater and freshwater, to derive an analytical solution for the transient Henry problem, which describes the saline intrusion caused by a sudden change in fresh groundwater discharge. This approach is effective for other variable density flow scenario, since it allows one to decouple the flow and transport equations.

BibTeX Entry

@inproceedings{tartakovsky-2004-perturbation,
author = {D. M. Tartakovsky and A. Guadagnini and X. Sanchez-Vila and M. Dentz and J. Carrera},
title = {A perturbation solution to the transient Henry problem for seawater intrusion},
year = {2004},
month = Jun,
urlpdf = {http://math.lanl.gov/~dmt/papers/CMWR2004_henry.pdf},
booktitle = {Proceedings of the XV {I}nternational {C}onference "{C}omputational {M}ethods in {W}ater {R}esources ({CMWR} 2004)"},
address = {Chapel Hill, North Carolina},
pages = {1573-1582}
}