Universal Relationship Between Viscous and Inertial Permeability of Geologic Porous Media

Zhou, Jia‐Qing; Chen, Yi‐Feng; Wang, Lichun; Cardenas, M. Bayani

doi:10.1029/2018gl081413

Title: Universal Relationship Between Viscous and Inertial Permeability of Geologic Porous Media

Journal Article · Mon Jan 28 00:00:00 EST 2019 · Geophysical Research Letters

DOI:https://doi.org/10.1029/2018gl081413· OSTI ID:1566601

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Wuhan Univ. (China); China Univ. of Geosciences, Wuhan (China)
Wuhan Univ. (China)
Tianjin Univ. (China)
Univ. of Texas, Austin, TX (United States)

Abstract Fluid flow through geologic porous media is represented by Darcy's law and its inertial and nonlinear extension, the Forchheimer equation. These relationships equate the product of the driving potential gradient and phenomenological coefficients representing momentum resistance and dissipation to flux. From decades of research, the coefficient of viscous permeability ( k _v ) in Darcy's law is largely predictable, but this is not the case for the coefficient of inertial permeability ( k _i ) in the Forchheimer equation. Synthesizing results from thousands of laboratory and field flow tests and pore‐scale flow model results, we show that k _i can be predicted from k _v via the equation k _i = 10 ¹⁰ k _v ^3/2 across 12 and 20 orders of magnitude in k _v and k _i , respectively. Since it is related with k _i , k _v is thus sufficient for predicting flow across viscous to inertial regimes for most geologic porous media.

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Research Organization:: Univ. of Texas, Austin, TX (United States). Energy Frontier Research Center (EFRC)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES); National Natural Science Foundation of China (NSFC)

Grant/Contract Number:: SC0001114; DE‐SC0001114

OSTI ID:: 1566601

Alternate ID(s):: OSTI ID: 1494200

Journal Information:: Geophysical Research Letters, Vol. 46, Issue 3; ISSN 0094-8276

Publisher:: American Geophysical UnionCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 43 works

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