Highresolution numerical methods for compressible multiphase flow in hierarchical porous media. Progress report
Abstract
This is the first year in the proposed threeyear effort to develop highresolution numerical methods for multiphase flow in hierarchical porous media. The issues being addressed in this research are: Computational efficiency: Fieldscale simulation of enhanced oil recovery, whether for energy production or aquifer remediation, is typically highly underresolved. This is because rock transport properties vary on many scales, and because current numerical methods have low resolution. Effective media properties: Since porous media are formed through complex geologic processes, they involve significant uncertainty and scaledependence. Given this uncertainty, knowledge of ensemble averages of flow in porous media can be preferable to knowledge of flow in specific realizations of the reservoir. However, current models of effective properties do not represent the observed behavior very well. Relative permeability models present a good example of this problem. In practice, these models seldom provide realistic representations of hysteresis, interfacial tension effects or threephase flow; there are no models that represent well all three effects simultaneously. Wave propagation: It is common in the petroleum industry to assume that the models have the same wellposedness properties as the physical system. An example of this fallacy is given by the threephase relative permeability models; they were widelymore »
 Authors:
 Publication Date:
 Research Org.:
 Duke Univ., Durham, NC (United States). Dept. of Mathematics
 Sponsoring Org.:
 USDOE, Washington, DC (United States)
 OSTI Identifier:
 10184442
 Report Number(s):
 DOE/ER/251451
ON: DE94000740
 DOE Contract Number:
 FG0592ER25145
 Resource Type:
 Technical Report
 Resource Relation:
 Other Information: PBD: 15 Mar 1993
 Country of Publication:
 United States
 Language:
 English
 Subject:
 02 PETROLEUM; 99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE; MULTIPHASE FLOW; THREEDIMENSIONAL CALCULATIONS; WATERFLOODING; FLOW MODELS; PROGRESS REPORT; ENHANCED RECOVERY; RESERVOIR ENGINEERING; WAVE PROPAGATION; POROSITY; MESH GENERATION; COMPRESSIBLE FLOW; NUMERICAL SOLUTION; 020300; 990200; DRILLING AND PRODUCTION; MATHEMATICS AND COMPUTERS
Citation Formats
Trangenstein, J.A. Highresolution numerical methods for compressible multiphase flow in hierarchical porous media. Progress report. United States: N. p., 1993.
Web. doi:10.2172/10184442.
Trangenstein, J.A. Highresolution numerical methods for compressible multiphase flow in hierarchical porous media. Progress report. United States. doi:10.2172/10184442.
Trangenstein, J.A. 1993.
"Highresolution numerical methods for compressible multiphase flow in hierarchical porous media. Progress report". United States.
doi:10.2172/10184442. https://www.osti.gov/servlets/purl/10184442.
@article{osti_10184442,
title = {Highresolution numerical methods for compressible multiphase flow in hierarchical porous media. Progress report},
author = {Trangenstein, J.A.},
abstractNote = {This is the first year in the proposed threeyear effort to develop highresolution numerical methods for multiphase flow in hierarchical porous media. The issues being addressed in this research are: Computational efficiency: Fieldscale simulation of enhanced oil recovery, whether for energy production or aquifer remediation, is typically highly underresolved. This is because rock transport properties vary on many scales, and because current numerical methods have low resolution. Effective media properties: Since porous media are formed through complex geologic processes, they involve significant uncertainty and scaledependence. Given this uncertainty, knowledge of ensemble averages of flow in porous media can be preferable to knowledge of flow in specific realizations of the reservoir. However, current models of effective properties do not represent the observed behavior very well. Relative permeability models present a good example of this problem. In practice, these models seldom provide realistic representations of hysteresis, interfacial tension effects or threephase flow; there are no models that represent well all three effects simultaneously. Wave propagation: It is common in the petroleum industry to assume that the models have the same wellposedness properties as the physical system. An example of this fallacy is given by the threephase relative permeability models; they were widely assumed by the petroleum community to produce hyperbolic systems for the BuckleyLeverett equations, but later the mathematics community proved that these models inherently produce local elliptic regions. Since numerical methods must use the models for computations, oscillations that develop could erroneously be attributed to numerical error rather than modeling difficulties. During this year, we have made significant progress on several tasks aimed at addressing these issues.},
doi = {10.2172/10184442},
journal = {},
number = ,
volume = ,
place = {United States},
year = 1993,
month = 3
}

This is the second year in the proposed threeyear effort to develop highresolution numerical methods for multiphase flow in hierarchical porous media. The issues being addressed in this research are: Computational efficiency: Fieldscale simulation of enhanced oil recovery, whether for energy production or aquifer remediation, is typically highly underresolved. This is because rock transport properties vary on many scales, and because current numerical methods have low resolution. Effective media properties: Since porous media are formed through complex geologic processes, they involve significant uncertainty and scaledependence. Given this uncertainty, knowledge of ensemble averages of flow in porous media can be preferablemore »

Highresolution numerical methods for compressible multiphase flow in hierarchical porous media. Final report, November 1992August 1996
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PORFLO  a continuum model for fluid flow, heat transfer, and mass transport in porous media. Model theory, numerical methods, and computational tests
Postclosure performance assessment of the proposed highlevel nuclear waste repository in flood basalts at Hanford requires that the processes of fluid flow, heat transfer, and mass transport be numerically modeled at appropriate space and time scales. A suite of computer models has been developed to meet this objective. The theory of one of these models, named PORFLO, is described in this report. Also presented are a discussion of the numerical techniques in the PORFLO computer code and a few computational test cases. Three twodimensional equations, one each for fluid flow, heat transfer, and mass transport, are numerically solved in PORFLO.more »