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Article Dans Une Revue Advances in Water Resources Année : 2015

An exact solution for the discharge potential of a linear sink feature in a leaky rectangular aquifer

Résumé

This paper presents the exact solution of the 2D modified Helmholtz equation which governs the discharge potential for a semi-confined rectangular aquifer with leakage due to line elements and imposing no-flow conditions on the boundaries. An application example is given for a constant straight line-sink at the centre of the aquifer and a rapidly convergent series representation of the solution is obtained involving only elementary functions. A precise comparison is performed with the Bessel function-based solutions usually derived assuming the aquifer of infinite extent.
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Dates et versions

hal-01170720 , version 1 (02-07-2015)

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Malik Mamode. An exact solution for the discharge potential of a linear sink feature in a leaky rectangular aquifer. Advances in Water Resources, 2015, 83, pp.223/227. ⟨10.1016/j.advwatres.2015.06.004⟩. ⟨hal-01170720⟩
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