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Title: On the preferential flow patterns induced by transverse isotropy and non-Darcy flow in double porosity media

Abstract

Fluid flow in isotropic porous media with one porosity scale is a well understood process and a common scenario in numerous simulations published in the literature. Yet, there exists a class of porous materials that exhibit two porosity scales with strong permeability contrast between the two scales. Examples of such materials are aggregated soils and fractured sedimentary rocks such as shale. In sedimentary rocks, fluid could flow through the micro-fractures at the larger scale as well as through the nanometer-size pores of the rock matrix at the smaller scale. In this paper, we shall refer to the larger and smaller pores of sedimentary rocks as the micro-fractures and nanopores, respectively. Due to preferentially oriented micro-fractures in the rock, fluid could flow predominantly in the direction of the discontinuities, resulting in an anisotropic flow pattern at the larger scale. We idealize such material as a transversely isotropic medium with respect to fluid flow. In addition, the nanopores of sedimentary rocks such as shale are so small that Darcy's law may not hold at this scale. To better understand the impact of non-Darcy flow on the overall flow pattern, we present a hydromechanical model for materials with two porosity scales that accommodatesmore » both transverse isotropy at the larger scale and non-Darcy flow at the smaller scale. While this study is motivated by shale properties, the discussion revolves around a generic material with two porosity scales whose fluid flow characteristics are similar to those of shale. The overarching goal of this paper is to better understand the impacts of transverse isotropy and non-Darcy flow on the fluid flow pattern in this material.« less

Authors:
ORCiD logo [1]; ORCiD logo [2];  [1]
  1. Stanford Univ., CA (United States)
  2. Hong Kong Univ. (Hong Kong)
Publication Date:
Research Org.:
Stanford Univ., CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Chemical Sciences, Geosciences & Biosciences Division; National Science Foundation (NSF); Research Grants Council of Hong Kong
OSTI Identifier:
1596310
Alternate Identifier(s):
OSTI ID: 1547161
Grant/Contract Number:  
FG02-03ER15454; CMMI-1462231; ECS27205918
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Computer Methods in Applied Mechanics and Engineering
Additional Journal Information:
Journal Volume: 353; Journal Issue: C; Journal ID: ISSN 0045-7825
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
42 ENGINEERING; Double porosity; Mixed finite element; Non-Darcy flow; Preferential flow; Transverse isotropy

Citation Formats

Zhang, Qi, Choo, Jinhyun, and Borja, Ronaldo I. On the preferential flow patterns induced by transverse isotropy and non-Darcy flow in double porosity media. United States: N. p., 2019. Web. doi:10.1016/j.cma.2019.04.037.
Zhang, Qi, Choo, Jinhyun, & Borja, Ronaldo I. On the preferential flow patterns induced by transverse isotropy and non-Darcy flow in double porosity media. United States. doi:10.1016/j.cma.2019.04.037.
Zhang, Qi, Choo, Jinhyun, and Borja, Ronaldo I. Thu . "On the preferential flow patterns induced by transverse isotropy and non-Darcy flow in double porosity media". United States. doi:10.1016/j.cma.2019.04.037. https://www.osti.gov/servlets/purl/1596310.
@article{osti_1596310,
title = {On the preferential flow patterns induced by transverse isotropy and non-Darcy flow in double porosity media},
author = {Zhang, Qi and Choo, Jinhyun and Borja, Ronaldo I.},
abstractNote = {Fluid flow in isotropic porous media with one porosity scale is a well understood process and a common scenario in numerous simulations published in the literature. Yet, there exists a class of porous materials that exhibit two porosity scales with strong permeability contrast between the two scales. Examples of such materials are aggregated soils and fractured sedimentary rocks such as shale. In sedimentary rocks, fluid could flow through the micro-fractures at the larger scale as well as through the nanometer-size pores of the rock matrix at the smaller scale. In this paper, we shall refer to the larger and smaller pores of sedimentary rocks as the micro-fractures and nanopores, respectively. Due to preferentially oriented micro-fractures in the rock, fluid could flow predominantly in the direction of the discontinuities, resulting in an anisotropic flow pattern at the larger scale. We idealize such material as a transversely isotropic medium with respect to fluid flow. In addition, the nanopores of sedimentary rocks such as shale are so small that Darcy's law may not hold at this scale. To better understand the impact of non-Darcy flow on the overall flow pattern, we present a hydromechanical model for materials with two porosity scales that accommodates both transverse isotropy at the larger scale and non-Darcy flow at the smaller scale. While this study is motivated by shale properties, the discussion revolves around a generic material with two porosity scales whose fluid flow characteristics are similar to those of shale. The overarching goal of this paper is to better understand the impacts of transverse isotropy and non-Darcy flow on the fluid flow pattern in this material.},
doi = {10.1016/j.cma.2019.04.037},
journal = {Computer Methods in Applied Mechanics and Engineering},
issn = {0045-7825},
number = C,
volume = 353,
place = {United States},
year = {2019},
month = {6}
}

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Cited by: 12 works
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