A semi-analytical solution for the transport of solutes with straight-chain and branching reactions

By Wang Xiaomin and Neville Christopher
Working Paper (2018)

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Abstract

A semi-analytical solution for one-dimensional transport of multiple species along a reaction chain is introduced. The DECAY solution considers advection, dispersion, equilibrium sorption, and first-order straight-chain reactions with branching. The treatment of branching accommodates species potentially having multiple parents and multiple daughter products. The solution in general in that the individual species may have different dispersion and sorption coefficients and different decay rates may be specified in the dissolved and sorbed phases for each species. Yield coefficients can be specified so that the calculations can be conducted in terms of concentrations expressed in units of either mass or moles per unit volume of water. The DECAY solution accommodates Dirichlet and Cauchy inflow boundary conditions with general influent concentration histories. The concentrations of each species are evaluated by accurate and efficient numerical inversion of the Laplace-transform solutions.

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Please cite the paper as follows:

Wang X. and Neville C. (2018) A semi-analytical solution for the transport of solutes with straight-chain and branching reactions. Working Paper.

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