Geometric state function for two-fluid flow in porous media
Abstract
Models that describe two-fluid flow in porous media suffer from a widely recognized problem that the constitutive relationships used to predict capillary pressure as a function of the fluid saturation are nonunique, thus requiring a hysteretic description. As an alternative to the traditional perspective, we consider a geometric description of the capillary pressure, which relates the average mean curvature, the fluid saturation, the interfacial area between fluids, and the Euler characteristic. The state equation is formulated using notions from algebraic topology and cast in terms of measures of the macroscale state. Synchrotron-based x-ray microcomputed tomography and high-resolution pore-scale simulation is applied to examine the uniqueness of the proposed relationship for six different porous media. We show that the geometric state function is able to characterize the microscopic fluid configurations that result from a wide range of simulated flow conditions in an averaged sense. The geometric state function can serve as a closure relationship within macroscale models to effectively remove hysteretic behavior attributed to the arrangement of fluids within a porous medium. As a result, this provides a critical missing component needed to enable a new generation of higher fidelity models to describe two-fluid flow in porous media.
- Authors:
-
[3];
- Virginia Polytechnic Inst. and State Univ. (Virginia Tech), Blacksburg, VA (United States)
- Univ. of New South Wales, Sydney, NSW (Australia)
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
- Helmholtz-Centre for Environmental Research–UFZ, Halle (Germany)
- Shell Global Solutions International B.V., Amsterdam (The Netherlands)
- Univ. of North Carolina at Chapel Hill, Chapel Hill, NC (United States)
- Publication Date:
- Research Org.:
- Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1515702
- Alternate Identifier(s):
- OSTI ID: 1467953
- Grant/Contract Number:
- AC05-00OR22725
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review Fluids
- Additional Journal Information:
- Journal Volume: 3; Journal Issue: 8; Journal ID: ISSN 2469-990X
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 42 ENGINEERING
Citation Formats
McClure, James E., Armstrong, Ryan T., Berrill, Mark A., Schlüter, Steffen, Berg, Steffen, Gray, William G., and Miller, Cass T. Geometric state function for two-fluid flow in porous media. United States: N. p., 2018.
Web. doi:10.1103/PhysRevFluids.3.084306.
McClure, James E., Armstrong, Ryan T., Berrill, Mark A., Schlüter, Steffen, Berg, Steffen, Gray, William G., & Miller, Cass T. Geometric state function for two-fluid flow in porous media. United States. https://doi.org/10.1103/PhysRevFluids.3.084306
McClure, James E., Armstrong, Ryan T., Berrill, Mark A., Schlüter, Steffen, Berg, Steffen, Gray, William G., and Miller, Cass T. Thu .
"Geometric state function for two-fluid flow in porous media". United States. https://doi.org/10.1103/PhysRevFluids.3.084306. https://www.osti.gov/servlets/purl/1515702.
@article{osti_1515702,
title = {Geometric state function for two-fluid flow in porous media},
author = {McClure, James E. and Armstrong, Ryan T. and Berrill, Mark A. and Schlüter, Steffen and Berg, Steffen and Gray, William G. and Miller, Cass T.},
abstractNote = {Models that describe two-fluid flow in porous media suffer from a widely recognized problem that the constitutive relationships used to predict capillary pressure as a function of the fluid saturation are nonunique, thus requiring a hysteretic description. As an alternative to the traditional perspective, we consider a geometric description of the capillary pressure, which relates the average mean curvature, the fluid saturation, the interfacial area between fluids, and the Euler characteristic. The state equation is formulated using notions from algebraic topology and cast in terms of measures of the macroscale state. Synchrotron-based x-ray microcomputed tomography and high-resolution pore-scale simulation is applied to examine the uniqueness of the proposed relationship for six different porous media. We show that the geometric state function is able to characterize the microscopic fluid configurations that result from a wide range of simulated flow conditions in an averaged sense. The geometric state function can serve as a closure relationship within macroscale models to effectively remove hysteretic behavior attributed to the arrangement of fluids within a porous medium. As a result, this provides a critical missing component needed to enable a new generation of higher fidelity models to describe two-fluid flow in porous media.},
doi = {10.1103/PhysRevFluids.3.084306},
journal = {Physical Review Fluids},
number = 8,
volume = 3,
place = {United States},
year = {Thu Aug 30 00:00:00 EDT 2018},
month = {Thu Aug 30 00:00:00 EDT 2018}
}
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