Evaluation of a Combined Sorption Model for Describing Cerium Transport in a Soil

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Abstract
A mathematical model is evaluated to describe Cs reaction and transport in a soil. The implicit finite difference method using quasilinearization technique is applied to solve the palabolic partial differential equation. This equation is a combination of the dispersion, convective transport and sorption, where the sorption models are expressed as 2 nonlinear reaction equations (2-stage model). Under the condition of steady state soil water flow, this model describes the effluent concentration distributions of Cs solutions both adsorption and desorption. Neither of these are adequately described using a single adsorption model. This model is flexible and may be adapted to incorporate the various transformation mechanisms of other radionuclides sorption on a soil, and this numerical approximation appears to have broad and practical utility.

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