A generalized power-law scaling law for a two-phase imbibition in a porous medium

Handle URI:
http://hdl.handle.net/10754/563076
Title:
A generalized power-law scaling law for a two-phase imbibition in a porous medium
Authors:
El-Amin, Mohamed ( 0000-0002-1099-2299 ) ; Salama, Amgad ( 0000-0002-4463-1010 ) ; Sun, Shuyu ( 0000-0002-3078-864X )
Abstract:
Dimensionless time is a universal parameter that may be used to predict real field behavior from scaled laboratory experiments in relation to imbibition processes in porous media. Researchers work to nondimensionalize the time has been through the use of parameters that are inherited to the properties of the moving fluids and the porous matrix, which may be applicable to spontaneous imbibition. However, in forced imbibition, the dynamics of the process depends, in addition, on injection velocity. Therefore, we propose the use of scaling velocity in the form of a combination of two velocities, the first of which (the characteristic velocity) is defined by the fluid and the porous medium parameters and the second is the injection velocity, which is a characteristic of the process. A power-law formula is suggested for the scaling velocity such that it may be used as a parameter to nondimensionalize time. This may reduce the complexities in characterizing two-phase imbibition through porous media and works well in both the cases of spontaneous and forced imbibition. The proposed scaling-law is tested against some oil recovery experimental data from the literature. In addition, the governing partial differential equations are nondimensionalized so that the governing dimensionless groups are manifested. An example of a one-dimensional countercurrent imbibition is considered numerically. The calculations are carried out for a wide range of Ca and Da to illustrate their influences on water saturation as well as relative water/oil permeabilities. © 2013 Elsevier B.V.
KAUST Department:
Computational Transport Phenomena Lab; Physical Sciences and Engineering (PSE) Division; Environmental Science and Engineering Program; Earth Science and Engineering Program
Publisher:
Elsevier BV
Journal:
Journal of Petroleum Science and Engineering
Issue Date:
Nov-2013
DOI:
10.1016/j.petrol.2013.08.033
Type:
Article
ISSN:
09204105
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.accessioned2015-08-03T11:35:14Zen
dc.date.available2015-08-03T11:35:14Zen
dc.date.issued2013-11en
dc.identifier.issn09204105en
dc.identifier.doi10.1016/j.petrol.2013.08.033en
dc.identifier.urihttp://hdl.handle.net/10754/563076en
dc.description.abstractDimensionless time is a universal parameter that may be used to predict real field behavior from scaled laboratory experiments in relation to imbibition processes in porous media. Researchers work to nondimensionalize the time has been through the use of parameters that are inherited to the properties of the moving fluids and the porous matrix, which may be applicable to spontaneous imbibition. However, in forced imbibition, the dynamics of the process depends, in addition, on injection velocity. Therefore, we propose the use of scaling velocity in the form of a combination of two velocities, the first of which (the characteristic velocity) is defined by the fluid and the porous medium parameters and the second is the injection velocity, which is a characteristic of the process. A power-law formula is suggested for the scaling velocity such that it may be used as a parameter to nondimensionalize time. This may reduce the complexities in characterizing two-phase imbibition through porous media and works well in both the cases of spontaneous and forced imbibition. The proposed scaling-law is tested against some oil recovery experimental data from the literature. In addition, the governing partial differential equations are nondimensionalized so that the governing dimensionless groups are manifested. An example of a one-dimensional countercurrent imbibition is considered numerically. The calculations are carried out for a wide range of Ca and Da to illustrate their influences on water saturation as well as relative water/oil permeabilities. © 2013 Elsevier B.V.en
dc.publisherElsevier BVen
dc.subjectCapillary pressureen
dc.subjectCountercurrent imbibitionsen
dc.subjectDimensionless timeen
dc.subjectOil recoveryen
dc.subjectPorous mediaen
dc.subjectTime-scaleen
dc.subjectTwo-phase flowen
dc.titleA generalized power-law scaling law for a two-phase imbibition in a porous mediumen
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 Petroleum Science and Engineeringen
kaust.authorEl-Amin, Mohameden
kaust.authorSalama, Amgaden
kaust.authorSun, Shuyuen
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