# Analytical Solution of Equations for Chemical Transport with Adsorption, Longitudinal Diffusion, Zeroth-Order Production, and First-Order Decay

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This Demonstration examines one-dimensional chemical transport in a porous medium as influenced by simultaneous adsorption, zeroth-order production, and first-order decay. The corresponding equation is [1]:

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Contributed by: Clay Gruesbeck (November 2014)

Open content licensed under CC BY-NC-SA

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## Details

Reference [1] gives a complete derivation of the analytical solution using Laplace transforms. The solution is:

,

where

,

,

with .

Reference

[1] M. T. Van Genuchten, "Analytical Solutions for Chemical Transport with Simultaneous Adsorption, Zero-Order Production, and First-Order Decay," *Journal of Hydrology*, 49(3–4), 1981 pp. 213–233. doi:10.1016/0022-1694(81)90214-6.

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