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Analytical solution of the equation for transport of reactive solutes through soils
Author(s) -
Selim H. M.,
Mansell R. S.
Publication year - 1976
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/wr012i003p00528
Subject(s) - advection , adsorption , sink (geography) , boundary value problem , soil water , ordinary differential equation , mechanics , thermodynamics , mathematics , dispersion (optics) , constant (computer programming) , differential equation , chemistry , mathematical analysis , physics , soil science , environmental science , computer science , cartography , optics , geography , programming language
Mathematical solutions of the differential equation governing reactive solute transport in a finite soil column were developed for two spcific cases: continuous solute input and pulse‐type solute input at the soil surface. These solutions incorporate reversible linear adsorption as well as irreversible solute adsorption. The irreversible adsorption was expressed by a sink/source term which either may be a constant or may have a concentration‐dependent form. The boundary condition used across the surface ( X = 0) was that of the third type, which accounts for advection as well as dispersion. To illustrate the significance of using the proper boundary conditions, comparisons were made with two other mathematical solutions, one by Cleary and Adrian (1973) and another by Lindstrom et al. (1967). We conclude that the solution presented here is highly recommended for low flow velocities, or specifically for v 0 L / D s values less than 20. For large pore velocities, or specifically for v 0 L / D s > 20, all three solutions are in agreement.