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A traveling wave solution to the problem of simultaneous flow of water and air through homogeneous porous media
Author(s) -
Nakano Yoshisuke
Publication year - 1981
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/wr017i001p00057
Subject(s) - porous medium , homogeneous , mechanics , flow (mathematics) , singularity , wetting , traveling wave , porosity , boundary value problem , materials science , mathematical analysis , mathematics , geotechnical engineering , thermodynamics , physics , geology
A traveling wave solution was derived for the problem of simultaneous flow of water and air through homogeneous porous media. It is found that the properties of the solution generally depend upon the hydraulic characteristics of a given problem. The properties of the solution are presented for a specific case in which the hydraulic characteristics are given in specific functional forms. For this specific case it is found that a singularity occurs in the solution at both a saturated‐unsaturated boundary and a wetting front. Some applications of the solution are discussed.