Similarity solution of axisymmetric flow in porous media

Li, L., Lockington, D. A., Parlange, M. B., Stagnitti, Frank, Jeng, D. S., Selker, J. S., Telyakovskiy, A., Barry, D. A. and Parlange, J. Y. 2005, Similarity solution of axisymmetric flow in porous media, Advances in water resources, vol. 28, no. 10, pp. 1076-1082, doi: 10.1016/j.advwatres.2005.04.004.

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Title Similarity solution of axisymmetric flow in porous media
Author(s) Li, L.
Lockington, D. A.
Parlange, M. B.
Stagnitti, Frank
Jeng, D. S.
Selker, J. S.
Telyakovskiy, A.
Barry, D. A.
Parlange, J. Y.
Journal name Advances in water resources
Volume number 28
Issue number 10
Start page 1076
End page 1082
Publisher Pergamon
Place of publication Oxford, England
Publication date 2005-10
ISSN 0309-1708
Keyword(s) drilling mud invasion
density-dependent flow
groundwater pumping
axisymmetric flow
boussinesq equation
Summary Applications of the axisymmetric Boussinesq equation to groundwater hydrology and reservoir engineering have long been recognised. An archetypal example is invasion by drilling fluid into a permeable bed where there is initially no such fluid present, a circumstance of some importance in the oil industry. It is well known that the governing Boussinesq model can be reduced to a nonlinear ordinary differential equation using a similarity variable, a transformation that is valid for a certain time-dependent flux at the origin. Here, a new analytical approximation is obtained for this case. The new solution,, which has a simple form, is demonstrated to be highly accurate.
Language eng
DOI 10.1016/j.advwatres.2005.04.004
Field of Research 050305 Soil Physics
HERDC Research category C1 Refereed article in a scholarly journal
Copyright notice ©2005, Elsevier
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