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Title: A Numerical Method for Simulating Non-Newtonian Fluid Flow andDisplacement in Porous Media

Abstract

Flow and displacement of non-Newtonian fluids in porousmedia occurs in many subsurface systems, related to underground naturalresource recovery and storage projects, as well as environmentalremediation schemes. A thorough understanding of non-Newtonian fluid flowthrough porous media is of fundamental importance in these engineeringapplications. Considerable progress has been made in our understanding ofsingle-phase porous flow behavior of non-Newtonian fluids through manyquantitative and experimental studies over the past few decades. However,very little research can be found in the literature regarding multi-phasenon-Newtonian fluid flow or numerical modeling approaches for suchanalyses.For non-Newtonian fluid flow through porous media, the governingequations become nonlinear, even under single-phase flow conditions,because effective viscosity for the non-Newtonian fluid is a highlynonlinear function of the shear rate, or the pore velocity. The solutionfor such problems can in general only be obtained by numerical methods.Wehave developed a three-dimensional, fully implicit, integral finitedifference simulator for single- and multi-phase flow of non-Newtonianfluids in porous/fractured media. The methodology, architecture andnumerical scheme of the model are based on a general multi-phase,multi-component fluid and heat flow simulator--TOUGH2. Severalrheological models for power-law and Bingham non-Newtonian fluids havebeen incorporated into the model. In addition, the model predictions onsingle- and multi-phase flow of the power-law and Bingham fluids havebeen verified againstmore » the analytical solutions available for theseproblems, and in all the cases the numerical simulations are in goodagreement with the analytical solutions. In this presentation, we willdiscuss the numerical scheme used in the treatment of non-Newtonianproperties, and several benchmark problems for model verification.In aneffort to demonstrate the three-dimensional modeling capability of themodel, a three-dimensional, two-phase flow example is also presented toexamine the model results using laboratory and simulation resultsexisting for the three-dimensional problem with Newtonian fluidflow.« less

Authors:
;  [1]
  1. Ed.
Publication Date:
Research Org.:
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Sponsoring Org.:
USDOE Director, Office of Energy Research
OSTI Identifier:
902130
Report Number(s):
LBNL-39359
TRN: US200717%%39
DOE Contract Number:  
DE-AC02-05CH11231
Resource Type:
Journal Article
Journal Name:
Advances in Water Resources
Additional Journal Information:
Journal Volume: 21; Journal Issue: 5; Related Information: Journal Publication Date: 04/15/1998
Country of Publication:
United States
Language:
English
Subject:
42 ENGINEERING; 99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE; MULTIPHASE FLOW; SIMULATORS; TWO-PHASE FLOW; VISCOSITY; POROUS MATERIALS; FLOW MODELS; FINITE DIFFERENCE METHOD

Citation Formats

Wu, Y S, and Pruess, K. A Numerical Method for Simulating Non-Newtonian Fluid Flow andDisplacement in Porous Media. United States: N. p., 1996. Web.
Wu, Y S, & Pruess, K. A Numerical Method for Simulating Non-Newtonian Fluid Flow andDisplacement in Porous Media. United States.
Wu, Y S, and Pruess, K. 1996. "A Numerical Method for Simulating Non-Newtonian Fluid Flow andDisplacement in Porous Media". United States.
@article{osti_902130,
title = {A Numerical Method for Simulating Non-Newtonian Fluid Flow andDisplacement in Porous Media},
author = {Wu, Y S and Pruess, K},
abstractNote = {Flow and displacement of non-Newtonian fluids in porousmedia occurs in many subsurface systems, related to underground naturalresource recovery and storage projects, as well as environmentalremediation schemes. A thorough understanding of non-Newtonian fluid flowthrough porous media is of fundamental importance in these engineeringapplications. Considerable progress has been made in our understanding ofsingle-phase porous flow behavior of non-Newtonian fluids through manyquantitative and experimental studies over the past few decades. However,very little research can be found in the literature regarding multi-phasenon-Newtonian fluid flow or numerical modeling approaches for suchanalyses.For non-Newtonian fluid flow through porous media, the governingequations become nonlinear, even under single-phase flow conditions,because effective viscosity for the non-Newtonian fluid is a highlynonlinear function of the shear rate, or the pore velocity. The solutionfor such problems can in general only be obtained by numerical methods.Wehave developed a three-dimensional, fully implicit, integral finitedifference simulator for single- and multi-phase flow of non-Newtonianfluids in porous/fractured media. The methodology, architecture andnumerical scheme of the model are based on a general multi-phase,multi-component fluid and heat flow simulator--TOUGH2. Severalrheological models for power-law and Bingham non-Newtonian fluids havebeen incorporated into the model. In addition, the model predictions onsingle- and multi-phase flow of the power-law and Bingham fluids havebeen verified against the analytical solutions available for theseproblems, and in all the cases the numerical simulations are in goodagreement with the analytical solutions. In this presentation, we willdiscuss the numerical scheme used in the treatment of non-Newtonianproperties, and several benchmark problems for model verification.In aneffort to demonstrate the three-dimensional modeling capability of themodel, a three-dimensional, two-phase flow example is also presented toexamine the model results using laboratory and simulation resultsexisting for the three-dimensional problem with Newtonian fluidflow.},
doi = {},
url = {https://www.osti.gov/biblio/902130}, journal = {Advances in Water Resources},
number = 5,
volume = 21,
place = {United States},
year = {1996},
month = {2}
}