A finite element approach for multiphase fluid flow in porous media

Authors:
Javier L. Mroginski;H.Ariel Di Rado;Pablo A. Beneyto;Armando M. Awruch
Affiliations:
Departamento de Mecánica Aplicada. Facultad de Ingeniería, Universidad Nacional del Nordeste (UNNE), Av. Las Heras 727, Resistencia (CP:3500), Argentina and CONICET, Consejo Nacional de ...;Departamento de Mecánica Aplicada. Facultad de Ingeniería, Universidad Nacional del Nordeste (UNNE), Av. Las Heras 727, Resistencia (CP:3500), Argentina;Departamento de Mecánica Aplicada. Facultad de Ingeniería, Universidad Nacional del Nordeste (UNNE), Av. Las Heras 727, Resistencia (CP:3500), Argentina;Centro de Mecánica Aplicada y Computacional (CEMACOM), Universidad Federal do Rio Grande do Sul (UFRGS), Brazil
Venue:
Mathematics and Computers in Simulation
Year:
2010

Citing 3
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Three-phase immiscible displacement in heterogeneous petroleum reservoirs

Mathematics and Computers in Simulation - Special issue: Applied and computational mathematics - selected papers of the fifth PanAmerican workshop - June 21-25, 2004, Tegucigalpa, Honduras
Influence of the saturation-suction relationship in the formulation of non-saturated soil consolidation models

Mathematical and Computer Modelling: An International Journal
Miscible and immiscible multiphase flow in deformable porous media

Mathematical and Computer Modelling: An International Journal

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Abstract

The main scope of this work is to carry out a mathematical framework and its corresponding finite element (FE) discretization for the partially saturated soil consolidation modelling in presence of an immiscible pollutant. A multiphase system with the interstitial voids in the grain matrix filled with water (liquid phase), water vapour and dry air (gas phase) and with pollutant substances, is assumed. The mathematical model addressed in this work was developed in the framework of mixture theory considering the pollutant saturation-suction coupling effects. The ensuing mathematical model involves equations of momentum balance, energy balance and mass balance of the whole multiphase system. Encouraging outcomes were achieved in several different examples.