Abonnement à la biblothèque: Guest
Portail numérique Bibliothèque numérique eBooks Revues Références et comptes rendus Collections
Journal of Porous Media
Facteur d'impact: 1.49 Facteur d'impact sur 5 ans: 1.159 SJR: 0.504 SNIP: 0.671 CiteScore™: 1.58

ISSN Imprimer: 1091-028X
ISSN En ligne: 1934-0508

Volumes:
Volume 22, 2019 Volume 21, 2018 Volume 20, 2017 Volume 19, 2016 Volume 18, 2015 Volume 17, 2014 Volume 16, 2013 Volume 15, 2012 Volume 14, 2011 Volume 13, 2010 Volume 12, 2009 Volume 11, 2008 Volume 10, 2007 Volume 9, 2006 Volume 8, 2005 Volume 7, 2004 Volume 6, 2003 Volume 5, 2002 Volume 4, 2001 Volume 3, 2000 Volume 2, 1999 Volume 1, 1998

Journal of Porous Media

DOI: 10.1615/JPorMedia.v18.i2.30
pages 113-124

SOLUTIONS FOR COUNTERCURRENT SPONTANEOUS IMBIBITION AS DERIVED BY MEANS OF A SIMILARITY APPROACH

Rasoul Arabjamaloei
Department of Mechanical & Manufacturing Engineering, University of Manitoba, Winnipeg, Manitoba, Canada, R3T 5V6
Douglas W. Ruth
Department of Mechanical & Manufacturing Engineering, University of Manitoba, Winnipeg, Manitoba, Canada, R3T 5V6
Geoffrey Mason
Department of Chemical Engineering, Loughborough University, Loughborough, Leicestershire LE11 3TU, United Kingdom
Norman R. Morrow
Department of Chemical and Petroleum Engineering, University of Wyoming, Laramie, WY 82071, USA

RÉSUMÉ

A major portion of oil in water-wet fractured reservoirs is produced as a result of countercurrent spontaneous imbibition. Recently, there has been much research in experimental and mathematical analysis of this process. However, the actual physics of this process at the micro-scale is not completely understood. The governing equation of countercurrent spontaneous imbibition is of the diffusion type and is highly nonlinear; therefore, an exact closed-form analytical solution for this equation seems impossible. In the present paper, a basic solution is developed for this process and tested against numerical simulation results. Also, new numerical solution methods are presented to solve the governing equation of this process in one dimension using a similarity variable. Finally, an approximate iteration-based analytical solution is presented that is both stable and accurate.


Articles with similar content:

TRAVELING WAVE ANALYSIS OF COCURRENT IMBIBITION IN POROUS MEDIA
Journal of Porous Media, Vol.17, 2014, issue 3
Nikoo Khademi, Hadi Saboorian-Jooybari
COMBINED EXPLICIT AND IMPLICIT METHODS FOR TIME INTEGRATION IN PARTIAL DIFFERENTIAL EQUATIONS
3rd Thermal and Fluids Engineering Conference (TFEC), Vol.3, 2018, issue
Saulo R. Freitas, Antonio M. Zarzur, Stephan Stephany, Haroldo F. de Campos Velho
A MATHEMATICAL MODEL OF IMBIBITION PHENOMENON IN HOMOGENEOUS POROUS MEDIA
Special Topics & Reviews in Porous Media: An International Journal, Vol.10, 2019, issue 1
Bhumika G. Choksi, Twinkle R. Singh
ON AN INTEGRAL METHOD APPLIED TO THE RESOLUTION OF CERTAIN PROBLEMS IN FLUID MECHANICS (NATURAL CONVECTION WITH OR WITHOUT VOLUMETRIC HEAT SOURCE)
International Heat Transfer Conference 7, Vol.3, 1982, issue
M.N. Sabry
Use of He's Homotopy Perturbation Method for Solving a Partial Differential Equation Arising in Modeling of Flow in Porous Media
Journal of Porous Media, Vol.11, 2008, issue 8
Mehdi Dehghan, Fatemeh Shakeri