Mathematical Modeling of Electrokinetic Transport and Enhanced Oil Recovery In Porous Geo-Media - Electrokinetics for Petroleum and Environmental Engineers - page 229

5.11 Summary
Mathematical models of EK transport are valuable tools that help predict
the efficiency of the EK remediation for a specific contaminated soil. The
basic governing equations of EK transport of mass, conservation of mass
and charge, and geochemical reactions associated with the EK process
were discussed. Existing EK transport models and the coupling between
the applied electric and hydraulic gradients were reviewed.
An insight into the mathematical modeling of EKEOR that couples the
pressure and electrical gradients applied to the porous medium and incor-
porates the viscous drag of water on the oil phase under applied electric
gradient was provided. EO relative permeability coefficients were evalu-
ated experimentally and analytically as a function of water saturation of
the porous medium. A set of governing equations for EKEOR simulation
was derived. Implicit Pressure Explicit Saturation (IMPES) solution tech-
nique was used to solve the set of governing equations. Numerical solu-
tion of the model employed Finite Volume Method (FVM). The predictive
capabilities of the model can be enhanced using more realistic parameters
about the reservoir, incorporating the transient changes in the viscosity of
formation oil, and the non-isothermal effects during extended application
of electric field.
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