Modeling Mixing in Stratified Heterogeneous Media: The Role of Water Velocity Discretization in Phase Space Formulation

Abstract Modeling solute transport in heterogeneous porous media faces two challenges: scale dependence of dispersion and reproducing mixing separately from spreading. Both are crucial since real applications may require km scales whereas reactions, often controlled by mixing, occur at the pore scale. Methods have been developed response to these challenges, but none has satisfactorily characterized both processes. In this paper, we propose a formulation based on Water Mixing Approach extended account for velocity variability. Velocity is taken as an independent variable, so that concentration depends time, space velocity. Therefore, term Multi-Advective Approach. A new between classes emerges formulation. We test it Poiseuille’s stratified flow using Parcel method. Results show high accuracy mixing. Moreover, process exhibits Markovianity even though modeled time.