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Dispersion during flow in porous media with bilinear adsorption
Author(s) -
Gupta Surendra P.,
Greenkorn Robert A.
Publication year - 1973
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/wr009i005p01357
Subject(s) - surface runoff , dispersion (optics) , adsorption , porous medium , bilinear interpolation , pollutant , pollution , porosity , nonlinear system , environmental science , flow (mathematics) , range (aeronautics) , environmental engineering , mathematics , mechanics , geotechnical engineering , materials science , chemistry , engineering , physics , statistics , composite material , ecology , organic chemistry , quantum mechanics , optics , biology
Major sources of the pollution in underground water are various compounds that may come from the runoff of cattle feedlots, from the runoff of fertilizers, pesticides, and herbicides from the cultivated lands, and from domestic and industrial wastes. The equations for the dispersion and adsorption of various chemicals in porous media are formulated to calculate pollution movement. If a bilinear rate of adsorption is assumed, two coupled nonlinear parabolic partial differential equations result. The equations can be solved by the Crank‐Nicolson method, which is a stable, two‐step method. Solutions for the range of variables involved in the movement of pollutants in porous media are obtained for a one‐dimensional model.