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Theory of flow in unconfined aquifers by integrodifferential equations
Author(s) -
Herrera Ismael,
Minzoni Antonmaria,
Flores Emigdio Z.
Publication year - 1978
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/wr014i002p00291
Subject(s) - aquifer , compressibility , flow (mathematics) , mathematics , limit (mathematics) , mechanics , yield (engineering) , drawdown (hydrology) , range (aeronautics) , mathematical analysis , geology , physics , geotechnical engineering , thermodynamics , materials science , composite material , groundwater
It is shown that when the diffusion of the deviation of the drawdown from its average value can be neglected, the unsteady flow in unconfined aquifers is governed by an Integrodifferential equation. For incompressible flow this equation reduces to Boulton's delayed yield equation with ε = 3. When the flow is compressible, the kernel can be approximated by Boulton's delayed factor in a range of times whose lower limit approaches zero with the compressibility.