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A One-dimensional flow problem in porous media with hydrophile grains

✍ Scribed by A. Fasano

Publisher
John Wiley and Sons
Year
1999
Tongue
English
Weight
118 KB
Volume
22
Category
Article
ISSN
0170-4214

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✦ Synopsis

We study a free boundary problem describing the propagation of the wetting front following the injection of a liquid into a porous medium with hydrophile granules. The absorption process produces a non-local interaction with the flow so that the porosity appearing in the parabolic equation for pressure is a functional of saturation and of the free boundary. Our analysis is confined to the unsaturated regime, which is the first stage of the process. An existence theorem is proved.

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