Modelling, Analysis and Simulation of Bioreactive Multicomponent Transport
In this work we present a bioreactive multicomponent model that incorporates relevant hydraulic, chemical and biological processes of contaminant transport and degradation in the subsurface. Our latest results for the existence, uniqueness and regularity of solutions to the model equations are summarized; cf. [4, 9]. The basic idea of the proof of regularity is sketched briefly. Moreover, our numerical discretization scheme that has proved its capability of approximating reliably and efficiently solutions of the mathematical model is described shortly, and an error estimate is given; cf. [2, 3]. Finally, to illustrate our approach of modelling and simulating bioreactive transport in the subsurface, the movement and expansion of a m-xylene plume is studied numerically under realistic field-scale assumptions.
KeywordsHomogeneous Dirichlet Boundary Condition Monod Model Optimal Order Convergence Contamination Scenario High Order Regularity
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