A Characteristic Domain Decomposition Algorithm for Two-Phase Flows with Interfaces
University of South Carolina Columbia
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The mathematical model that describes the process of an immiscible displacement of oil by water in reservoir production or other two-phase fluid flows in porous media leads to a strongly coupled system of a degenerated nonlinear advection-diffusion equation for saturation and an elliptic equation for pressure and velocity. The hyperbolic nature strong coupling and nonlinearity of the system and the degeneracy of the diffusion makes numerical simulation a challenging task. Many numerical methods suffer from serious non-physical oscillations excessive numerical dispersion andor a combination of both.
- Fluid Mechanics