IMI Interdisciplinary Mathematics InstituteCollege of Arts and Sciences

A Eulerian-Lagrangian formulation for multiphase multicomponent compositional flow and transport in porous media

  • Nov. 25, 2013
  • 2 p.m.
  • LeConte 312


Porous medium flow and transport processes arise in a wide variety of applications such as reservoir simulation and geological storage of CO2. We present a Eulerian-Lagrangian formulation for multicomponent multiphase compositional flow and transport in porous media, by utilizing momentum balance to define a barycentric component velocity for each component based on phase velocities and the relative presence of the component in each phase. Numerical experiments are presented to investigate the performance of the method, compared with widely used explicit and implicit upwind methods in the context of a two phase, three component compositional flow and transport process. These results demonstrate that the Eulerian-Lagrangian formulation not only represents the solutions properly, but also has obvious computational benefits.

© Interdisciplinary Mathematics Institute | The University of South Carolina Board of Trustees | Webmaster