NDLI: Asymptotic Decomposed Model of Two-Phase Compositional Flow in Porous Media: Analytical Front Tracking Method for Riemann Problem

Content Provider	Springer Nature Link
Author	Abadpour, Anahita Panfilov, Mikhail
Copyright Year	2009
Abstract	We deal with the two-phase flow through porous media of multicomponent, partially miscible, compressible fluids. The displacement of one phase by another is analyzed. We examine non-ideal solutions. The pressure is variable in space and time. The phase compositions, densities, and viscosities are variable functions of pressure. The process is described by the Riemann problem which allows for the existence of discontinuous solutions. We have developed an efficient numerical/analytical method which allows a complete determination of shock parameters before solving the flow equations. This method is based on splitting thermodynamics and hydrodynamics, suggested first in Oladyshkin and Panfilov (Transp. Porous Media 70:147–165, 2007a; C. R. Mecanique 335:7–12, 2007b). Earlier this method was, however, inapplicable to the Riemann problem, due to the lack of Hugoniot conditions in the HT-split model. In this article we have constructed the needed number of Hugoniot conditions. For the non-ideal solution at variable pressure, we have introduced the concept of P-surfaces that generalizes the concept of tie-lines in the thermodynamic description. The behavior of the P-surfaces is governed by differential thermodynamic equations. A shock relates two different P-surfaces. The method is illustrated by examples of solutions for three- and four-component systems.
Starting Page	547
Ending Page	565
Page Count	19
File Format	PDF
ISSN	01693913
Journal	Transport in Porous Media
Volume Number	82
Issue Number	3
e-ISSN	15731634
Language	English
Publisher	Springer Netherlands
Publisher Date	2009-06-24
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Porous media Two-phase flow Riemann problem Splitting Multicomponent flow Phase transition Dissolution Tie-lines Classical Continuum Physics Hydrogeology Civil Engineering Industrial Chemistry/Chemical Engineering Geotechnical Engineering
Content Type	Text
Resource Type	Article
Subject	Catalysis

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