Open AccessONE‐DIMENSIONAL TEMPORALLY DEPENDENT ADVECTION–DISPERSION EQUATION IN POROUS MEDIA: ANALYTICAL SOLUTION
Author(s) -
YADAV R. R.,
JAISWAL DILIP KUMAR,
YADAV HAREESH KUMAR,
RANA GUL
Publication year - 2010
Publication title -
natural resource modeling
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.28
H-Index - 32
eISSN - 1939-7445
pISSN - 0890-8575
DOI - 10.1111/j.1939-7445.2010.00072.x
Subject(s) - advection , porous medium , dispersion (optics) , mechanics , physics , statistical physics , environmental science , mathematics , porosity , mathematical analysis , materials science , thermodynamics , optics , composite material
Analytical solutions of one‐dimensional advection–dispersion equation in semi‐infinite longitudinal porous domain are obtained in this work. The solute dispersion parameter is considered temporally dependent along uniform flow. The first‐order decay term, which is inversely proportional to the dispersion coefficient, is also considered. Initially, the space domain is not solute free. Analytical solutions are obtained for uniform and varying pulse‐type input. A new time variable is introduced. The Laplace transform technique is used to get the analytical solutions.