An Eulerian-Lagrangian Formulation for Compositional Flow in Porous Media

摘要

We derive an Eulerian-Lagrangian formulation for twophase,rnmulticomponent compositional flow in porous mediarnwith sources and sinks. The formulation can be used by manyrnEulerian-Lagrangian methods in solving the component massrnbalance equations. It can be combined with different types ofrnpressure solvers in solving the coupled systems ofrncompositional models. A full thermodynamic flash calculationrnis carried out to determine phase stability and composition.rnNumerical experiments are presented to investigate thernperformance of the formulation and to compare it with thernwidely used upwind method for compositional flow. Thesernresults indicate that the Eulerian-Lagrangian formulationrngenerates stable and accurate solutions that resolve movingrnsteep fronts and are physically reasonable, even if it uses arntime step two orders of magnitude larger than that used by thernupwind method.