Modeling Pore-Scale Oil-Gas Systems Using Gradient Theory with Peng-Robinson Equation of State
KAUST DepartmentPhysical Sciences and Engineering (PSE) Division
Earth Science and Engineering Program
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AbstractThis research addresses a sequential convex splitting method for numerical simulation of multicomponent two-phase fluids mixture in a single-pore at constant temperature, which is modeled by the gradient theory with Peng-Robinson equation of state. The gradient theory of thermodynamics and variational calculus are utilized to obtain a system of chemical equilibrium equations which are transformed into a transient system as a numerical strategy on which the numerical scheme is based. The proposed numerical algorithm avoids computing Hessian matrix arising from the second-order derivative of homogeneous contribution of free energy; it is also quite robust. This scheme is proved to be unconditionally component-wise energy stable. The Raviart-Thomas mixed finite element method is applied to spatial discretization.
CitationModeling Pore-Scale Oil-Gas Systems Using Gradient Theory with Peng-Robinson Equation of State 2016, 80:1364 Procedia Computer Science
SponsorsThe research of Fan and Sun reported in this publication was supported by funding from King Abdullah University of Science and Technology (KAUST).
JournalProcedia Computer Science
Conference/Event nameInternational Conference on Computational Science 2016