Analysis of a Compositional Model for Fluid Flow in Porous Media
نویسندگان
چکیده
In this paper we consider a compositional model for three-phase multicomponent uid ow in porous media. This model consists of Darcy's law for volumetric ow velocities, mass conservation for hydrocarbon components, thermodynamic equilibrium for mass interchange between phases, and an equation of state for saturations. These diierential equations and algebraic constraints are rewritten in terms of various formulations of the pressure and component-conservation equations. Phase, weighted uid, global, and pseudo-global pressure and component-conservation formulations are analyzed. A numerical scheme based on the mixed nite element method for the pressure equation and the Eulerian-Lagrangian localized adjoint method for the component-conservation equations is developed. Numerical results are reported to show the behavior of the solution to the compositional model and to investigate the performance of the proposed numerical scheme.
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ورودعنوان ژورنال:
- SIAM Journal of Applied Mathematics
دوره 60 شماره
صفحات -
تاریخ انتشار 2000