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Viscous flow model for groundwater movement
Author(s) -
Yen Ben Chie,
Hsie Chung Hsiung
Publication year - 1972
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/wr008i005p01299
Subject(s) - laminar flow , porous medium , groundwater flow equation , flow (mathematics) , mechanics , darcy's law , hele shaw flow , aquifer , stokes flow , reynolds number , groundwater flow , geology , geotechnical engineering , open channel flow , groundwater , porosity , physics , turbulence
A viscous flow model with nonuniform spacing between plates can be used to simulate two‐dimensional laminar flow in heterogeneous porous media. Such a model can also be used to study the effects of aquifer thickness on flow in homogeneous porous media. Mathematical expressions have been developed from equations of motion and continuity for flow in porous media and for flow between closely spaced nonparallel plates to verify the theoretical background of such model simulations. The modeling is valid for groundwater flow that obeys Darcy's law and viscous flow between plates with the Reynolds number within the Stokes range. Other limitations and restrictions are also discussed.