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Title: Impact of Confining Stress on Capillary Pressure Behavior During Drainage Through Rough Fractures

Abstract

In this work we study, numerically, the behavior of capillary pressure $$(P_c)$$ during slow immiscible displacement in a rough fracture as a function of the degree of fracture aperture heterogeneity that results from two distinct mechanisms: normal confining stress and fracture surface correlation. We generate synthetic self-affine rough fractures at different correlation scales, solve the elastic contact problem to model the effect of confining stress, and simulate slow immiscible displacement of a wetting fluid by a nonwetting one using a modified invasion percolation model that accounts for in-plane curvature of the fluid-fluid interface. Our modeling results indicate that the power spectral density, $S(f)$, of $$P_c$$, can be used to qualitatively characterize fracture aperture heterogeneity. We show that the distribution of forward avalanche sizes follows a power law $$N_f (S_f)$$ ∝ $$S^{-a}_f$$ , with exponent $α$ = 2, in agreement with previously reported values for porous media and equal to the expected theoretical exponent for a self-organized criticality process.

Authors:
ORCiD logo [1]; ORCiD logo [2]; ORCiD logo [3]; ORCiD logo [4]; ORCiD logo [1]
  1. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
  2. Univ. of Minnesota, Twin Cities, MN (United States)
  3. Wuhan Univ. (China)
  4. Technical Univ. of Madrid (Spain); Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Publication Date:
Research Org.:
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Sponsoring Org.:
USDOE Office of Science (SC); Korea Ministry of Environment (MOE); National Natural Science Foundation of China (NNSFC)
OSTI Identifier:
1612956
Alternate Identifier(s):
OSTI ID: 1542668
Grant/Contract Number:  
SC0018357; 2018002440003
Resource Type:
Accepted Manuscript
Journal Name:
Geophysical Research Letters
Additional Journal Information:
Journal Volume: 46; Journal Issue: 13; Journal ID: ISSN 0094-8276
Publisher:
American Geophysical Union
Country of Publication:
United States
Language:
English
Subject:
58 GEOSCIENCES; geology; multiphase flow; fractures; roughness; capillary pressure; self‐organized criticality

Citation Formats

Silva, Josimar A., Kang, Peter K., Yang, Zhibing, Cueto‐Felgueroso, Luis, and Juanes, Ruben. Impact of Confining Stress on Capillary Pressure Behavior During Drainage Through Rough Fractures. United States: N. p., 2019. Web. https://doi.org/10.1029/2019gl082744.
Silva, Josimar A., Kang, Peter K., Yang, Zhibing, Cueto‐Felgueroso, Luis, & Juanes, Ruben. Impact of Confining Stress on Capillary Pressure Behavior During Drainage Through Rough Fractures. United States. https://doi.org/10.1029/2019gl082744
Silva, Josimar A., Kang, Peter K., Yang, Zhibing, Cueto‐Felgueroso, Luis, and Juanes, Ruben. Wed . "Impact of Confining Stress on Capillary Pressure Behavior During Drainage Through Rough Fractures". United States. https://doi.org/10.1029/2019gl082744. https://www.osti.gov/servlets/purl/1612956.
@article{osti_1612956,
title = {Impact of Confining Stress on Capillary Pressure Behavior During Drainage Through Rough Fractures},
author = {Silva, Josimar A. and Kang, Peter K. and Yang, Zhibing and Cueto‐Felgueroso, Luis and Juanes, Ruben},
abstractNote = {In this work we study, numerically, the behavior of capillary pressure $(P_c)$ during slow immiscible displacement in a rough fracture as a function of the degree of fracture aperture heterogeneity that results from two distinct mechanisms: normal confining stress and fracture surface correlation. We generate synthetic self-affine rough fractures at different correlation scales, solve the elastic contact problem to model the effect of confining stress, and simulate slow immiscible displacement of a wetting fluid by a nonwetting one using a modified invasion percolation model that accounts for in-plane curvature of the fluid-fluid interface. Our modeling results indicate that the power spectral density, $S(f)$, of $P_c$, can be used to qualitatively characterize fracture aperture heterogeneity. We show that the distribution of forward avalanche sizes follows a power law $N_f (S_f)$ ∝ $S^{-a}_f$ , with exponent $α$ = 2, in agreement with previously reported values for porous media and equal to the expected theoretical exponent for a self-organized criticality process.},
doi = {10.1029/2019gl082744},
journal = {Geophysical Research Letters},
number = 13,
volume = 46,
place = {United States},
year = {2019},
month = {7}
}

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    Works referencing / citing this record:

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