A multi-quadric area-sink for analytic element modeling of groundwater flow

O. D.L. Strack, I. Janković

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24 Scopus citations


It is shown that the approach presented by Strack (Strack, O.D.L., 1989. Groundwater Mechanics. Prentice Hall, New Jersey) for determining the discharge potential for an area-sink leads to a function that is unique except for an arbitrary constant. The approach is applied to a special area-sink, namely one with an extraction rate that varies inside a polygon as a multi-quadric interpolator (Hardy, R.L., 1971. Multiquadric equations of topography and other irregular surfaces. Journal of Geophysical Research 76, 1905-1915). The principle of over-specification presented by Jankovic and Barnes (Jankovic, I., Barnes, R., 1999a. Three-dimensional flow through large numbers of spheroidal inhomogeneities. Journal of Hydrology 226, 224-233), is used to obtain an approximate solution. Several examples are presented herewith. (C) 1999 Elsevier Science B.V.

Original languageEnglish (US)
Pages (from-to)188-196
Number of pages9
JournalJournal of Hydrology
Issue number3-4
StatePublished - Dec 31 1999

Bibliographical note

Funding Information:
This work was sponsored by the Dutch National Institute for Integrated Water Management and Waste Water Treatment (RIZA). The authors wish to thank Douglas W. Hansen for his assistance in providing the example.


  • Analytic element method
  • Area-sink
  • Groundwater
  • Multi-quadric interpolator


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