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A generalized solution for solute flow in soils with mobile and immobile water
Author(s) -
De Smedt F.,
Wierenga P. J.
Publication year - 1979
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/wr015i005p01137
Subject(s) - porous medium , mathematical analysis , mathematics , boundary value problem , transfer function , convolution (computer science) , function (biology) , flux (metallurgy) , soil water , flow (mathematics) , boundary (topology) , mechanics , thermodynamics , porosity , chemistry , physics , geotechnical engineering , geometry , geology , soil science , engineering , organic chemistry , machine learning , evolutionary biology , artificial neural network , computer science , electrical engineering , biology
An analytical solution is presented for the movement of a solute through a porous medium which is leached at a constant rate. The solution takes into account transfer into an immobile water fraction. The generalized solution is valid for both finite or semi‐infinite media and for concentration or flux type boundary conditions. The solution consists of a convolution integral of two functions. The first function is the derivative with respect to injected pore volume of the corresponding analytical solution of the solute transfer equation without transfer into immobile water. The second function is the J function, for which series approximations are presented. The influence of the boundary conditions on the solution is discussed.