Dispersive effects in constituent transport during multiphase flows through porous media

In Daripa-JCP-2017 and Daripa-ANM-2019, we developed a mathematical model and a numerical method to simulate chemical-enhanced oil recovery using polymer-surfactant flooding.  In this work, we study the effect of anisotropic mechanical dispersion and molecular diffusion on the advective transport of passive constituents like polymer. Also, we numerically investigate the effect of potentially nonlinear interactions between dispersive transport, capillary effects, and multiscale heterogeneity, on a model immiscible, two-phase flow problem through porous media.Numerical results demonstrating the effect of dispersion on viscous fingering in two-phase flow and on the efficiency of polymer-enhanced oil recovery will be presented. 

[Daripa-JCP-2017]  P.~Daripa and S.~Dutta.  "Modeling and simulation of surfactant–polymer flooding using a new hybrid method", J. Comput. Phys. 335, pp.~249-282, (2017).

[Daripa-ANM-2019] P.~Daripa and S.~Dutta,  "On the convergence analysis of a hybrid numerical method for multicomponent transport in porous media”, Appl. Numer. Math., 146, pp.~1–22, (2019).