Subsurface Contaminant Transport Mechanics: Advection-Dispersion Kinetics, Sorption Isotherms, and Matrix Degradation Kinetics
Subsurface contaminant transport mechanics analyze the movement, attenuation, and transformation of toxic chemical pollutants (such as heavy metals, volatile organic compounds [VOCs], and micro-pollutants) within unconfined and confined aquifer matrices. Contaminant plume migration through porous soil media is governed by coupled physical transport pathways—advection, hydrodynamic dispersion, molecular diffusion, matrix sorption, and chemical/biological decay kinetics. The 1D transient transport of a reactive solute through a saturated porous medium is quantified by the Advection-Dispersion-Reaction Equation (ADRE) incorporating a linear Retardation Factor ($R$): $$R \cdot \frac{\partial C}{\partial t} = D_x \cdot \frac{\partial^2 C}{\partial x^2} - v_x \cdot \frac{\partial C}{\partial x} - \lambda \cdot R \cdot C$$ Where $C$ is solute concentration ($\text{mg/L}$), $v_x$ is average linear groundwater pore velocity ($v_x = \frac{q}{n_e} = \frac{-K \cdot \frac{dh}{dx}}{n_e}$), $...