skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: On the capillary pressure function in porous media based on relative permeabilities of two immiscible fluids: Application of capillary bundle models and validation using experimental data

Journal Article · · Advances in Colloid and Interface Science
 [1];  [2];  [3];  [4]
  1. Alberta Research Council (ARC), Edmonton (Canada); Tel Aviv University, Ramat Aviv (Israel)
  2. University of Alberta, Edmonton, AB (Canada)
  3. Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
  4. Shell International Exploration and Production Inc., Houston, TX (United States)

The objective of this paper is to extend the theoretical approach and an analytical solution, which was proposed by Babchin and Faybishenko (2014), for the evaluation of a capillary pressure (Pc) curve in porous media based on the apparent specific surface area, using an explicit combination of the relative permeability functions for the wetting and nonwetting phases. Specifically, in the current paper, the authors extended this approach by the application of two types of capillary bundle models with different formulations of effective capillary radius formulae. The application of the new models allowed the authors to improve the results of calculations of the effective average contact angle given in the paper by Babchin and Faybishenko (2014). The validation of the new models for calculations of the Pc curve is also given in this paper using the results of a specifically designed core experiment, which was originally conducted by Ayub and Bentsen (2001).

Research Organization:
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
Sponsoring Organization:
Office of Science (SC), Biological and Environmental Research (BER). Earth and Environmental Systems Science Division
Grant/Contract Number:
AC02-05CH11231
OSTI ID:
1474947
Alternate ID(s):
OSTI ID: 1374235
Journal Information:
Advances in Colloid and Interface Science, Vol. 233, Issue C; ISSN 0001-8686
Publisher:
ElsevierCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 13 works
Citation information provided by
Web of Science

References (23)

Developments in spontaneous imbibition and possibilities for future work journal October 2013
Effects of sample size on capillary pressures in porous media journal November 1981
On the capillary pressure function in porous media based on relative permeabilities of two immiscible fluids journal November 2014
A Numerical Study of Micro-Heterogeneity Effects on Upscaled Properties of Two-Phase Flow in Porous Media journal September 2004
Fractional wettability effects on two-and three-fluid capillary pressure-saturation relations journal November 1995
Prediction of two-phase capillary pressure–saturation relationships in fractional wettability systems journal May 2005
An Apparatus for Simultaneous Measurement of Relative Permeability and Dynamic Capillary Pressure journal November 2001
Investigations of Interfacial Coupling Phenomena and its Impact on Recovery Factor journal July 2008
A Functional Relationship Between Capillary Pressure, Saturation, and Interfacial Area as Revealed by a Pore-Scale Network Model journal August 1996
Modeling support of functional relationships between capillary pressure, saturation, interfacial area and common lines journal February 2001
Interfacial area measurements for unsaturated flow through a porous medium: INTERFACIAL AREA MEASUREMENTS journal December 2004
A model for two-phase flow in porous media including fluid-fluid interfacial area: TWO-PHASE FLOW IN POROUS MEDIA journal August 2008
Averaging theorems and averaged equations for transport of interface properties in multiphase systems journal January 1989
Closure Conditions for Two-Fluid Flow in Porous Media journal April 2002
Insights into the Relationships Among Capillary Pressure, Saturation, Interfacial Area and Relative Permeability Using Pore-Network Modeling journal December 2007
On the Capillary Coupling between Two Phases in a Droplet Train Model journal January 1997
Analytical Model for The Capillary Pressure Gradient in Oil–Water–Rock System journal November 2006
The Analysis of the Parameters of Three-phase Coexistence in the Course of Long-term Contact between a Superhydrophobic Surface and an Aqueous Medium journal October 2012
Relative Permeability Analysis of Tube Bundle Models journal January 1999
Calculation of relative permeability in reservoir engineering using an interacting triangular tube bundle model journal December 2012
Capillary Tube Models with Interaction Between the Tubes [A Note on “Immiscible Displacement in the Interacting Capillary Bundle Model Part I. Development of Interacting Capillary Bundle Model”, by Dong, M., Dullien, F.A.L., Dai, L. and Li, D., 2005, Transport Porous Media] journal August 2010
Immiscible Displacement in the Interacting Capillary Bundle Model Part I. Development of Interacting Capillary Bundle Model journal April 2005
Bundle-of-Tubes Model for Calculating Dynamic Effects in the Capillary-Pressure- Saturation Relationship journal January 2005