Computational Modeling of Hydraulic Properties of a Sheared Single Rock Fracture
Abstract
Flow through a single mechanically sheared Marcellus shale fracture was investigated computationally and experimentally. To provide a better understanding of the variation of hydraulic and geometrical characteristics of a fracture subjected to shearing, coupled shear flow tests on the fracture for four shearing displacement steps under constant normal stress were performed. At the end of each shearing step, computed tomography (CT) scans with resolution 26.8 μm were obtained and the corresponding fracture geometries were evaluated. The CT images were used to generate full aperture maps of the fracture configuration. In addition, average aperture maps were also created by averaging the full-resolution data over 10 × 10 pixels, smoothing out fine structural details. Computational modeling of water flow through the fractures at different shearing steps was performed using a modified local cubic law approach and the 3D full Navier–Stokes equations with the use of the ANSYS-Fluent software. Both the average aperture maps and full maps were used in these simulations. The experimental pressure drops of the fracture at shearing step 1, which has very small apertures, poorly matched the numerical results, quite likely because the fracture structure was inadequately captured by the scanning resolution. Shearing typically increased the aperture height ofmore »
- Authors:
-
- Clarkson Univ., Potsdam, NY (United States)
- National Energy Technology Lab. (NETL), Morgantown, WV (United States); Oak Ridge Inst. for Science and Education (ORISE), Oak Ridge, TN (United States); The MITRE Corp., McLean, VA (United States)
- Clarkson Univ., Potsdam, NY (United States); National Energy Technology Lab. (NETL), Morgantown, WV (United States); Oak Ridge Inst. for Science and Education (ORISE), Oak Ridge, TN (United States)
- National Energy Technology Lab. (NETL), Morgantown, WV (United States); Oak Ridge Inst. for Science and Education (ORISE), Oak Ridge, TN (United States); State Univ. of New York at New Paltz, New Paltz, NY (United States)
- National Energy Technology Lab. (NETL), Morgantown, WV (United States)
- Publication Date:
- Research Org.:
- National Energy Technology Lab. (NETL), Morgantown, WV (United States)
- Sponsoring Org.:
- USDOE Office of Fossil Energy (FE)
- OSTI Identifier:
- 1483276
- Report Number(s):
- NETL-PUB-21878
Journal ID: ISSN 0169-3913; PII: 1030
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Transport in Porous Media
- Additional Journal Information:
- Journal Volume: 124; Journal Issue: 1; Journal ID: ISSN 0169-3913
- Publisher:
- Springer
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 58 GEOSCIENCES; Coupled shear flow; Computed tomography; Local cubic law; Improved cubic law; Navier–Stokes
Citation Formats
Mofakham, Amir A., Stadelman, Matthew, Ahmadi, Goodarz, Shanley, Kevin T., and Crandall, Dustin. Computational Modeling of Hydraulic Properties of a Sheared Single Rock Fracture. United States: N. p., 2018.
Web. doi:10.1007/s11242-018-1030-5.
Mofakham, Amir A., Stadelman, Matthew, Ahmadi, Goodarz, Shanley, Kevin T., & Crandall, Dustin. Computational Modeling of Hydraulic Properties of a Sheared Single Rock Fracture. United States. https://doi.org/10.1007/s11242-018-1030-5
Mofakham, Amir A., Stadelman, Matthew, Ahmadi, Goodarz, Shanley, Kevin T., and Crandall, Dustin. Sat .
"Computational Modeling of Hydraulic Properties of a Sheared Single Rock Fracture". United States. https://doi.org/10.1007/s11242-018-1030-5. https://www.osti.gov/servlets/purl/1483276.
@article{osti_1483276,
title = {Computational Modeling of Hydraulic Properties of a Sheared Single Rock Fracture},
author = {Mofakham, Amir A. and Stadelman, Matthew and Ahmadi, Goodarz and Shanley, Kevin T. and Crandall, Dustin},
abstractNote = {Flow through a single mechanically sheared Marcellus shale fracture was investigated computationally and experimentally. To provide a better understanding of the variation of hydraulic and geometrical characteristics of a fracture subjected to shearing, coupled shear flow tests on the fracture for four shearing displacement steps under constant normal stress were performed. At the end of each shearing step, computed tomography (CT) scans with resolution 26.8 μm were obtained and the corresponding fracture geometries were evaluated. The CT images were used to generate full aperture maps of the fracture configuration. In addition, average aperture maps were also created by averaging the full-resolution data over 10 × 10 pixels, smoothing out fine structural details. Computational modeling of water flow through the fractures at different shearing steps was performed using a modified local cubic law approach and the 3D full Navier–Stokes equations with the use of the ANSYS-Fluent software. Both the average aperture maps and full maps were used in these simulations. The experimental pressure drops of the fracture at shearing step 1, which has very small apertures, poorly matched the numerical results, quite likely because the fracture structure was inadequately captured by the scanning resolution. Shearing typically increased the aperture height of the fracture, whose features were then better captured by the CT scan. Good agreement between the experimental data and the numerical results of the full map for shearing step 2 was observed. The simulations were performed for both full and average aperture maps, and the effects of scan resolution and surface roughness on the accuracy of the results were studied. The modified local cubic law and full Navier–Stokes simulations of the averaged map fracture were found to be in good agreement. It was conjectured that this was because the nonlinear losses were insignificant for the smoothed out averaged map fracture. Similar comparisons with those of the full map showed agreement in trends, but there were some quantitative differences. The averaged fracture map simulations also predicted lower pressure drops compared to the full map, particularly for high flow rates. These differences were due to the fine-scale geometrical complexity (surface roughness) of fracture geometry that affects the fluid flow in the fracture. In conclusion, an improved cubic law model was also proposed, and its accuracy was verified by comparing its predictions with those of the Navier–Stokes simulations.},
doi = {10.1007/s11242-018-1030-5},
journal = {Transport in Porous Media},
number = 1,
volume = 124,
place = {United States},
year = {Sat Jun 02 00:00:00 EDT 2018},
month = {Sat Jun 02 00:00:00 EDT 2018}
}
Web of Science
Works referenced in this record:
Evaluation of cubic law based models describing single-phase flow through a rough-walled fracture: EVALUATION OF CUBIC LAW BASED MODELS
journal, February 2004
- Konzuk, Julie S.; Kueper, Bernard H.
- Water Resources Research, Vol. 40, Issue 2
Emergence of anomalous transport in stressed rough fractures
journal, November 2016
- Kang, Peter K.; Brown, Stephen; Juanes, Ruben
- Earth and Planetary Science Letters, Vol. 454
Variation of whole and fractured porous rock permeability with confining pressure
journal, October 1978
- Gangi, Anthony F.
- International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, Vol. 15, Issue 5
Experimental study of the hydro-mechanical behavior of rock joints using a parallel-plate model containing contact areas and artificial fractures
journal, March 2008
- Li, Bo; Jiang, Yujing; Koyama, Tomofumi
- International Journal of Rock Mechanics and Mining Sciences, Vol. 45, Issue 3
Hydraulic conductivity of rock fractures
journal, April 1996
- Zimmerman, RobertW.; Bodvarsson, GudmundurS.
- Transport in Porous Media, Vol. 23, Issue 1
Numerical modelling of fluid flow tests in a rock fracture with a special algorithm for contact areas
journal, January 2009
- Koyama, T.; Li, B.; Jiang, Y.
- Computers and Geotechnics, Vol. 36, Issue 1-2
Hydraulic Characteristics of Rough Fractures in Linear Flow under Normal and Shear Load
journal, October 2002
- Lee, H. S.; Cho, T. F.
- Rock Mechanics and Rock Engineering, Vol. 35, Issue 4
An improved model for hydromechanical coupling during shearing of rock joints
journal, April 2001
- Olsson, R.; Barton, N.
- International Journal of Rock Mechanics and Mining Sciences, Vol. 38, Issue 3
Flow enhancement of a rough fracture
journal, September 2000
- Méheust, Y.; Schmittbuhl, J.
- Geophysical Research Letters, Vol. 27, Issue 18
Effect of pore pressure and confining pressure on fracture permeability
journal, October 1981
- Walsh, J. B.
- International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, Vol. 18, Issue 5
Simple mathematical model of a rough fracture
journal, April 1995
- Brown, Stephen R.
- Journal of Geophysical Research: Solid Earth, Vol. 100, Issue B4
Non-linear regimes of fluid flow in rock fractures
journal, May 2004
- Zimmerman, Robert W.; Al-Yaarubi, Azzan; Pain, Chris C.
- International Journal of Rock Mechanics and Mining Sciences, Vol. 41
Visualization of fluid occupancy in a rough fracture using micro-tomography
journal, March 2007
- Karpyn, Z. T.; Grader, A. S.; Halleck, P. M.
- Journal of Colloid and Interface Science, Vol. 307, Issue 1
Strength, deformation and conductivity coupling of rock joints
journal, June 1985
- Barton, N.; Bandis, S.; Bakhtar, K.
- International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, Vol. 22, Issue 3
High-resolution X-ray computed tomography in geosciences: A review of the current technology and applications
journal, August 2013
- Cnudde, V.; Boone, M. N.
- Earth-Science Reviews, Vol. 123
Simulation of multiphase flow in fractured reservoirs using a fracture-only model with transfer functions
journal, November 2009
- Unsal, Evren; Matthäi, Stephan K.; Blunt, Martin J.
- Computational Geosciences, Vol. 14, Issue 4
Numerical simulations examining the relationship between wall-roughness and fluid flow in rock fractures
journal, July 2010
- Crandall, Dustin; Bromhal, Grant; Karpyn, Zuleima T.
- International Journal of Rock Mechanics and Mining Sciences, Vol. 47, Issue 5
Hydromechanical behavior of a deformable rock fracture subject to normal stress
journal, October 1981
- Tsang, Y. W.; Witherspoon, P. A.
- Journal of Geophysical Research: Solid Earth, Vol. 86, Issue B10
Effect of shear displacement on the aperture and permeability of a rock fracture
journal, December 1998
- Yeo, I. W.; de Freitas, M. H.; Zimmerman, R. W.
- International Journal of Rock Mechanics and Mining Sciences, Vol. 35, Issue 8
Fractal analysis of single-phase water and polymer solution flow at high rates in open and horizontally displaced rough fractures
journal, February 2017
- Raimbay, A.; Babadagli, T.; Kuru, E.
- International Journal of Rock Mechanics and Mining Sciences, Vol. 92
Laboratory investigation of nonlinear flow characteristics in rough fractures during shear process
journal, October 2016
- Rong, Guan; Yang, Jie; Cheng, Long
- Journal of Hydrology, Vol. 541
Development of a shear-flow test apparatus and determination of coupled properties for a single rock joint
journal, July 1999
- Esaki, T.; Du, S.; Mitani, Y.
- International Journal of Rock Mechanics and Mining Sciences, Vol. 36, Issue 5
Numerical investigation of geometrical and hydraulic properties in a single rock fracture during shear displacement with the Navier–Stokes equations
journal, March 2015
- Xie, L. Z.; Gao, C.; Ren, L.
- Environmental Earth Sciences, Vol. 73, Issue 11
Size effect on aperture and permeability of a fracture as estimated in large synthetic fractures
journal, July 2006
- Matsuki, K.; Chida, Y.; Sakaguchi, K.
- International Journal of Rock Mechanics and Mining Sciences, Vol. 43, Issue 5
A governing equation for fluid flow in rough fractures
journal, January 1997
- Ge, Shemin
- Water Resources Research, Vol. 33, Issue 1
An Average Flow Model for Determining Effects of Three-Dimensional Roughness on Partial Hydrodynamic Lubrication
journal, January 1978
- Patir, Nadir; Cheng, H. S.
- Journal of Lubrication Technology, Vol. 100, Issue 1
Porosity of natural fracture networks
journal, June 1995
- Montemagno, Carlo D.; Pyrak-Nolte, Laura J.
- Geophysical Research Letters, Vol. 22, Issue 11
Applicability of the Reynolds Equation for modeling fluid flow between rough surfaces
journal, September 1995
- Brown, Stephen R.; Stockman, Harlan W.; Reeves, Sally J.
- Geophysical Research Letters, Vol. 22, Issue 18
Fluid flow in synthetic rough-walled fractures: Navier-Stokes, Stokes, and local cubic law simulations: FLUID FLOW IN ROUGH-WALLED FRACTURES
journal, April 2003
- Brush, David J.; Thomson, Neil R.
- Water Resources Research, Vol. 39, Issue 4
The effect of contact area on the permeability of fractures
journal, November 1992
- Zimmerman, Robert W.; Chen, Di-Wen; Cook, Neville G. W.
- Journal of Hydrology, Vol. 139, Issue 1-4
Effect of shear displacement on the hydraulic conductivity of a fracture
journal, April 2010
- Matsuki, K.; Kimura, Y.; Sakaguchi, K.
- International Journal of Rock Mechanics and Mining Sciences, Vol. 47, Issue 3
A numerical study on differences in using Navier–Stokes and Reynolds equations for modeling the fluid flow and particle transport in single rock fractures with shear
journal, October 2008
- Koyama, T.; Neretnieks, I.; Jing, L.
- International Journal of Rock Mechanics and Mining Sciences, Vol. 45, Issue 7
Fluid flow through rock joints: The effect of surface roughness
journal, January 1987
- Brown, Stephen R.
- Journal of Geophysical Research, Vol. 92, Issue B2
Numerical simulations of vertical growth of hydraulic fractures and brine migration in geological formations above the Marcellus shale
journal, November 2015
- Myshakin, Evgeniy; Siriwardane, Hema; Hulcher, Carter
- Journal of Natural Gas Science and Engineering, Vol. 27
Influences of hydraulic gradient, surface roughness, intersecting angle, and scale effect on nonlinear flow behavior at single fracture intersections
journal, July 2016
- Li, Bo; Liu, Richeng; Jiang, Yujing
- Journal of Hydrology, Vol. 538
Critical Reynolds number for nonlinear flow through rough-walled fractures: The role of shear processes
journal, February 2014
- Javadi, Morteza; Sharifzadeh, Mostafa; Shahriar, Kourosh
- Water Resources Research, Vol. 50, Issue 2
Experimental and numerical study of the geometrical and hydraulic characteristics of a single rock fracture during shear
journal, December 2011
- Xiong, Xiangbin; Li, Bo; Jiang, Yujing
- International Journal of Rock Mechanics and Mining Sciences, Vol. 48, Issue 8
Particle tracking approach for transport in three-dimensional discrete fracture networks: Particle tracking in 3-D DFNs
journal, September 2015
- Makedonska, Nataliia; Painter, Scott L.; Bui, Quan M.
- Computational Geosciences, Vol. 19, Issue 5
Validity of Cubic Law for fluid flow in a deformable rock fracture
journal, December 1980
- Witherspoon, P. A.; Wang, J. S. Y.; Iwai, K.
- Water Resources Research, Vol. 16, Issue 6
Geologic Core Holder with a CFR PEEK Body for the X-ray CT-Based Numerical Analysis of Fracture Flow Under Confining Pressure
journal, September 2012
- Watanabe, Noriaki; Ishibashi, Takuya; Tsuchiya, Noriyoshi
- Rock Mechanics and Rock Engineering, Vol. 46, Issue 2
The Effect of Tortuosity on Fluid Flow Through a Single Fracture
journal, September 1984
- Tsang, Y. W.
- Water Resources Research, Vol. 20, Issue 9
Flow in rock fractures: The local cubic law assumption reexamined
journal, November 1998
- Oron, Assaf P.; Berkowitz, Brian
- Water Resources Research, Vol. 34, Issue 11
CT scanning and flow measurements of shale fractures after multiple shearing events
journal, December 2017
- Crandall, Dustin; Moore, Johnathan; Gill, Magdalena
- International Journal of Rock Mechanics and Mining Sciences, Vol. 100
Correlation between the surfaces of natural rock joints
journal, December 1986
- Brown, Stephen R.; Kranz, Robert L.; Bonner, Brian P.
- Geophysical Research Letters, Vol. 13, Issue 13
Mechanical and hydraulic behavior of a rock fracture under shear deformation
journal, September 2014
- Nishiyama, Satoshi; Ohnishi, Yuzo; Ito, Hisao
- Earth, Planets and Space, Vol. 66, Issue 1
A new device for investigating the hydro-mechanical properties of rock joints
journal, January 2003
- Hans, J.; Boulon, M.
- International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 27, Issue 6
Estimating joint roughness coefficients
journal, October 1979
- Tse, R.; Cruden, D. M.
- International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, Vol. 16, Issue 5
A new friction factor correlation for laminar, single-phase flows through rock fractures
journal, September 2006
- Nazridoust, Kambiz; Ahmadi, Goodarz; Smith, Duane H.
- Journal of Hydrology, Vol. 329, Issue 1-2
Hydromechanical response of a fracture undergoing compression and shear
journal, December 1993
- Olsson, W. A.; Brown, S. R.
- International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, Vol. 30, Issue 7
TOUGH2 User's Guide Version 2
report, November 1999
- Pruess, K.; Oldenburg, C.M.; Moridis, G.J.
- LBNL--43134
Evolution Process of Natural Rock Joint Roughness during Direct Shear Tests
journal, May 2017
- Ge, Yunfeng; Tang, Huiming; Ez Eldin, M. A. M.
- International Journal of Geomechanics, Vol. 17, Issue 5
Computational Modeling of Fluid Flow through a Fracture in Permeable Rock
journal, January 2010
- Crandall, Dustin; Ahmadi, Goodarz; Smith, Duane H.
- Transport in Porous Media, Vol. 84, Issue 2
Saturated flow in a single fracture: evaluation of the Reynolds Equation in measured aperture fields
journal, November 1999
- Nicholl, M. J.; Rajaram, H.; Glass, R. J.
- Water Resources Research, Vol. 35, Issue 11
Direct measurement of contact area and stress dependence of anisotropic flow through rock fracture with heterogeneous aperture distribution
journal, April 2009
- Nemoto, Katsumi; Watanabe, Noriaki; Hirano, Nobuo
- Earth and Planetary Science Letters, Vol. 281, Issue 1-2
Measurement of aperture distribution, capillary pressure, relative permeability, and in situ saturation in a rock fracture using computed tomography scanning
journal, March 2001
- Bertels, Stephanie P.; DiCarlo, David A.; Blunt, Martin J.
- Water Resources Research, Vol. 37, Issue 3