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

This content will become publicly available on April 15, 2020

Title: Theory and Applications of Macroscale Models in Porous Media

Abstract

Systems dominated by heterogeneity over a multiplicity of scales, like porous media, still challenge our modeling efforts. The presence of disparate length- and time-scales that control dynamical processes in porous media hinders not only models predictive capabilities, but also their computational efficiency. Macrosopic models, i.e., averaged representations of pore-scale processes, are computationally efficient alternatives to microscale models in the study of transport phenomena in porous media at the system, field or device scale (i.e., at a scale much larger than a characteristic pore size). We present an overview of common upscaling methods used to formally derive macroscale equations from pore-scale (mass, momentum and energy) conservation laws. This review includes the volume averaging method, mixture theory, thermodynamically constrained averaging, homogenization, and renormalization group techniques. We apply these methods to a number of specific problems ranging from food processing to human bronchial system, and from diffusion to multiphase flow, to demonstrate the methods generality and flexibility in handling different applications. The primary intent of such an overview is not to provide a thorough review of all currently available upscaling techniques, nor a complete mathematical treatment of the ones presented, but rather a primer on some of the tools available for upscaling, themore » basic principles they are based upon, and their specific advantages and drawbacks, so to guide the reader in the choice of the most appropriate method for particular applications and of the most relevant technical literature.« less

Authors:
ORCiD logo [1];  [2]; ORCiD logo [3];  [4];  [5];  [6];  [2]
  1. Stanford Univ., CA (United States)
  2. Oregon State Univ., Corvallis, OR (United States)
  3. Los Alamos National Lab. (LANL), Los Alamos, NM (United States); Univ. of Maryland Baltimore County (UMBC), Baltimore, MD (United States)
  4. Univ. of North Carolina, Chapel Hill, NC (United States)
  5. Univ. of Illinois, Urbana-Champaign, IL (United States)
  6. Metropolitan Autonomous Univ., Mexico City (Mexico)
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE Laboratory Directed Research and Development (LDRD) Program; Army Research Office (ARO); National Science Foundation (NSF)
OSTI Identifier:
1511237
Report Number(s):
LA-UR-18-26414
Journal ID: ISSN 0169-3913
Grant/Contract Number:  
89233218CNA000001; W911NF-14-1-02877; 1619767; 1604314
Resource Type:
Accepted Manuscript
Journal Name:
Transport in Porous Media
Additional Journal Information:
Journal Name: Transport in Porous Media; Journal ID: ISSN 0169-3913
Publisher:
Springer
Country of Publication:
United States
Language:
English
Subject:
42 ENGINEERING; Earth Sciences; Mathematics; Upscaling; Porous media; Volume averaging method; Mixture theory; Thermodynamically constrained averaging theory; Homogenization theory; Renormalization group theory

Citation Formats

Battiato, Ilenia, Ferrero V, Peter T., O’ Malley, Daniel, Miller, Cass T., Takhar, Pawan S., Valdés-Parada, Francisco J., and Wood, Brian D.. Theory and Applications of Macroscale Models in Porous Media. United States: N. p., 2019. Web. doi:10.1007/s11242-019-01282-2.
Battiato, Ilenia, Ferrero V, Peter T., O’ Malley, Daniel, Miller, Cass T., Takhar, Pawan S., Valdés-Parada, Francisco J., & Wood, Brian D.. Theory and Applications of Macroscale Models in Porous Media. United States. doi:10.1007/s11242-019-01282-2.
Battiato, Ilenia, Ferrero V, Peter T., O’ Malley, Daniel, Miller, Cass T., Takhar, Pawan S., Valdés-Parada, Francisco J., and Wood, Brian D.. Mon . "Theory and Applications of Macroscale Models in Porous Media". United States. doi:10.1007/s11242-019-01282-2.
@article{osti_1511237,
title = {Theory and Applications of Macroscale Models in Porous Media},
author = {Battiato, Ilenia and Ferrero V, Peter T. and O’ Malley, Daniel and Miller, Cass T. and Takhar, Pawan S. and Valdés-Parada, Francisco J. and Wood, Brian D.},
abstractNote = {Systems dominated by heterogeneity over a multiplicity of scales, like porous media, still challenge our modeling efforts. The presence of disparate length- and time-scales that control dynamical processes in porous media hinders not only models predictive capabilities, but also their computational efficiency. Macrosopic models, i.e., averaged representations of pore-scale processes, are computationally efficient alternatives to microscale models in the study of transport phenomena in porous media at the system, field or device scale (i.e., at a scale much larger than a characteristic pore size). We present an overview of common upscaling methods used to formally derive macroscale equations from pore-scale (mass, momentum and energy) conservation laws. This review includes the volume averaging method, mixture theory, thermodynamically constrained averaging, homogenization, and renormalization group techniques. We apply these methods to a number of specific problems ranging from food processing to human bronchial system, and from diffusion to multiphase flow, to demonstrate the methods generality and flexibility in handling different applications. The primary intent of such an overview is not to provide a thorough review of all currently available upscaling techniques, nor a complete mathematical treatment of the ones presented, but rather a primer on some of the tools available for upscaling, the basic principles they are based upon, and their specific advantages and drawbacks, so to guide the reader in the choice of the most appropriate method for particular applications and of the most relevant technical literature.},
doi = {10.1007/s11242-019-01282-2},
journal = {Transport in Porous Media},
number = ,
volume = ,
place = {United States},
year = {2019},
month = {4}
}

Journal Article:
Free Publicly Available Full Text
This content will become publicly available on April 15, 2020
Publisher's Version of Record

Save / Share: