An ELLAM approximation for advective-dispersive transport with nonlinear equilibrium and nonequilibrium sorption
Matthew Farthing, Christopher Kees, Thomas Russell, Cass Miller & Matthew Farthing
We consider an Eulerian-Lagrangian localized adjoint method
(ELLAM) applied to nonlinear model equations governing solute
transport and sorption in porous media. Solute transport in the
aqueous phase is modeled by standard advection and hydrodynamic
dispersion, while two types of solid phase are distinguished --- a
fraction which achieves equilibrium with the aqueous phase
quickly, and another which does not. The rapidly sorbing fraction
is modeled using a local equilibrium assumption, while a
first-order rate expression...
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