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Variational‐Lagrangian Analysis of Aquifers With Application to Artesian Wells
Author(s) -
Biot M. A.,
Delmer A.
Publication year - 1985
Publication title -
water resources research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.863
H-Index - 217
eISSN - 1944-7973
pISSN - 0043-1397
DOI - 10.1029/wr021i002p00249
Subject(s) - artesian aquifer , drawdown (hydrology) , aquifer , constant (computer programming) , context (archaeology) , dissipation , work (physics) , generality , mathematics , geology , geotechnical engineering , petroleum engineering , engineering , computer science , groundwater , physics , thermodynamics , mechanical engineering , psychotherapist , programming language , psychology , paleontology
A unifying variational principle of virtual dissipation of wide interdisciplinary generality is discussed in the more restricted context of aquifer analysis. It is applied to artesian well problems, one with constant drawdown, the other with constant pumping rate for both small and large well capacity. Numerical agreement with known result is excellent. Drawdown is also derived for ranges of values not covered by standard results. The computational work is simple and performed on a hand computer.