Numerical and dimensional investigation of two-phase countercurrent imbibition in porous media

Handle URI:
http://hdl.handle.net/10754/562694
Title:
Numerical and dimensional investigation of two-phase countercurrent imbibition in porous media
Authors:
El-Amin, Mohamed ( 0000-0002-1099-2299 ) ; Salama, Amgad ( 0000-0002-4463-1010 ) ; Sun, Shuyu ( 0000-0002-3078-864X )
Abstract:
In this paper, we introduce a numerical solution of the problem of two-phase immiscible flow in porous media. In the first part of this work, we present the general conservation laws for multiphase flows in porous media as outlined in the literature for the sake of completion where we emphasize the difficulties associated with these equations in their primitive form and the fact that they are, generally, unclosed. The second part concerns the 1D computation for dimensional and non-dimensional cases and a theoretical analysis of the problem under consideration. A time-scale based on the characteristic velocity is used to transform the macroscopic governing equations into a non-dimensional form. The resulting dimensionless governing equations involved some important dimensionless physical parameters such as Bond number Bo, capillary number Ca and Darcy number Da. Numerical experiments on the Bond number effect is performed for two cases, gravity opposing and assisting. The theoretical analysis illustrates that common formulations of the time-scale forces the coefficient Da12Ca to be equal to one, while formulation of dimensionless time based on a characteristic velocity allows the capillary and Darcy numbers to appear in the dimensionless governing equation which leads to a wide range of scales and physical properties of fluids and rocks. The results indicate that the buoyancy effects due to gravity force take place depending on the location of the open boundary. © 2012 Elsevier B.V. All rights reserved.
KAUST Department:
Computational Transport Phenomena Lab; Physical Sciences and Engineering (PSE) Division; Environmental Science and Engineering Program; Earth Science and Engineering Program
Publisher:
Elsevier
Journal:
Journal of Computational and Applied Mathematics
Issue Date:
Apr-2013
DOI:
10.1016/j.cam.2012.09.035
Type:
Article
ISSN:
03770427
Sponsors:
The work was partially supported by the KAUST-UTAustin AEA project entitled "Simulation of Subsurface Geochemical Transport and Carbon Sequestration".
Appears in Collections:
Articles; Environmental Science and Engineering Program; Physical Sciences and Engineering (PSE) Division; Earth Science and Engineering Program; Computational Transport Phenomena Lab

Full metadata record

DC FieldValue Language
dc.contributor.authorEl-Amin, Mohameden
dc.contributor.authorSalama, Amgaden
dc.contributor.authorSun, Shuyuen
dc.date.accessioned2015-08-03T11:01:49Zen
dc.date.available2015-08-03T11:01:49Zen
dc.date.issued2013-04en
dc.identifier.issn03770427en
dc.identifier.doi10.1016/j.cam.2012.09.035en
dc.identifier.urihttp://hdl.handle.net/10754/562694en
dc.description.abstractIn this paper, we introduce a numerical solution of the problem of two-phase immiscible flow in porous media. In the first part of this work, we present the general conservation laws for multiphase flows in porous media as outlined in the literature for the sake of completion where we emphasize the difficulties associated with these equations in their primitive form and the fact that they are, generally, unclosed. The second part concerns the 1D computation for dimensional and non-dimensional cases and a theoretical analysis of the problem under consideration. A time-scale based on the characteristic velocity is used to transform the macroscopic governing equations into a non-dimensional form. The resulting dimensionless governing equations involved some important dimensionless physical parameters such as Bond number Bo, capillary number Ca and Darcy number Da. Numerical experiments on the Bond number effect is performed for two cases, gravity opposing and assisting. The theoretical analysis illustrates that common formulations of the time-scale forces the coefficient Da12Ca to be equal to one, while formulation of dimensionless time based on a characteristic velocity allows the capillary and Darcy numbers to appear in the dimensionless governing equation which leads to a wide range of scales and physical properties of fluids and rocks. The results indicate that the buoyancy effects due to gravity force take place depending on the location of the open boundary. © 2012 Elsevier B.V. All rights reserved.en
dc.description.sponsorshipThe work was partially supported by the KAUST-UTAustin AEA project entitled "Simulation of Subsurface Geochemical Transport and Carbon Sequestration".en
dc.publisherElsevieren
dc.subjectCountercurrent imbibitionen
dc.subjectGravity effecten
dc.subjectOil recoveryen
dc.subjectTwo-phase flowen
dc.titleNumerical and dimensional investigation of two-phase countercurrent imbibition in porous mediaen
dc.typeArticleen
dc.contributor.departmentComputational Transport Phenomena Laben
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.contributor.departmentEnvironmental Science and Engineering Programen
dc.contributor.departmentEarth Science and Engineering Programen
dc.identifier.journalJournal of Computational and Applied Mathematicsen
dc.contributor.institutionAswan Univ, Fac Sci, Dept Math, Aswan 81528, Egypten
dc.contributor.institutionXi An Jiao Tong Univ, Ctr Computat Geosci, Xian 710049, Peoples R Chinaen
kaust.authorEl-Amin, Mohameden
kaust.authorSalama, Amgaden
kaust.authorSun, Shuyuen
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