Wjp. Bosma et Seatm. Vanderzee, ANALYTICAL APPROXIMATION FOR NONLINEAR ADSORBING SOLUTE TRANSPORT AND1ST-ORDER DEGRADATION, Transport in porous media, 11(1), 1993, pp. 33-43
Under some constraints, solutes undergoing nonlinear adsorption migrat
e according to a traveling wave. Analytical traveling wave solutions w
ere used to obtain an approximation for the solute front shape, c(z, t
), for the situation of equilibrium nonlinear adsorption and first-ord
er degradation. This approximation describes numerically obtained fron
ts and breakthrough curves well. It is shown to describe fronts more a
ccurately than a solution based on linearized adsorption. The latter s
olution accounts neither for the relatively steep downstream solute fr
ont nor for the deceleration in time of the nonlinear front.