Technical Paper
Oct 27, 2015

Fluid Flow through Rough Rock Fractures: Parametric Study

Publication: International Journal of Geomechanics
Volume 16, Issue 3

Abstract

The knowledge of fluid flow through rock fractures is directly related to hydrocarbon migration, waste disposal, and carbon dioxide sequestration. The hydraulic nature and response of the fractures are directly controlled by the roughness of the fracture surfaces. However, this parameter is hard to understand because it can behave differently under different ambient conditions. The prevalent controlling parameters are the fracture inflow pressure, aperture of the fracture, and shearing displacement during flow. To understand the influence of these parameters, a systematic study was carried out numerically on different fracture geometries. In this paper, two-dimensional fractures with different surface roughness were simulated in a finite-element modeling (FEM) program, and the fluid-flow parameters were evaluated. The Navier–Stokes (NS) equation was used to model the fluid flow through the roughness profiles generated using Barton’s joint roughness coefficient. By simulating the laminar fluid flow through the NS equation and predicting the particle transport using a streamline particle-tracking method, the flow-velocity profiles, outlet-pressure distribution, Reynolds number, shear rates, and particle transmissivity were measured. The parameters at different locations along the length of the fractures were compared to identify changes in the fluid flow. The models show that local undulations have considerable effect on the fluid flow. The velocity and shear-rate evolution, pore-pressure distribution, and Reynolds number of the flow indicate the presence of a strong wall effect on the fluid flow. The aperture and shearing displacements of the fracture walls also have significant control over the wall effect.

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References

Barton, N., Bandis, S., and Bakhtar, K. (1985). “Strength, deformation and conductivity coupling of the rock joints.” Int. J. Rock Mech. Min. Sci. Geomech. Abstr., 22(3), 121–140.
Bear, J. (1972). Dynamics of fluids in porous media, American Elsevier, New York.
Belfort, G., and Nagata, N. (1985). “Fluid mechanics and cross-flow filtration: Some thoughts.” Desalination, 53(1–3), 57–79.
Brown, S. R. (1987). “Flow through rock joints: The effect of surface roughness.” J. Geophys. Res., 92(B2), 1337–1347.
Camac, B. A., Hunt, S. P., and Boult, P. J. (2006). “Local rotations in borehole breakouts—Observed and modeled stressfield rotations and their implications for the petroleum industry.” Int. J. Geomech., 399–410.
Chen, S., Qiang, S., Shahrour, I., and Egger, P. (2008). “Composite element analysis of gravity dam on a complicated rock foundation.” Int. J. Geomech., 275–284.
COMSOL. Multiphysics 4.3a [Computer software]. COMSOL, Burlington, MA.
Cook, N. G. W. (1992). “Natural joints in rocks: Mechanical, hydraulic and seismic behaviour and properties under normal stress.” Int. J. Rock Mech. Min. Sci. Geomech. Abstr., 29(3), 198–223.
Crandall, D., Bromhal, G., and Karpyn, T. Z. (2010). “Numerical simulations examining the relationship between wall-roughness and fluid flow in rock fractures.” Int. J. Rock Mech. Min. Sci., 47(5), 784–796.
Durham, W. B., and Bonner, B. P. (1994). “Self-propping and fluid flow in slightly offset joints at high effective pressures.” J. Geophys. Res., 99(B5), 9391–9399.
Elsworth, D., and Doe, T. W. (1986). “Application of non-linear flow laws in determining rock fissure geometry from single borehole pumping tests.” Int. J. Rock Mech. Min. Sci. Abstr., 23(3), 245–254.
Gauthier, B. D. M., Franssen, R. C. W. M., and Drei, S. (2000). “Fracture networks in Rotliegend gas reservoirs of the Dutch offshore: Implications for reservoir behavior.” J. Geosci. (Prague), 79(1), 45–57.
Hakami, E., and Larsson, E. (1996). “Aperture measurement and flow experiments on a single rock fracture.” Int. J. Rock Mech. Min. Sci. Geomech. Abstr., 33(4), 395–404.
Javadi, M., Sharifzadeh, M., and Shahriar, K. (2010). “A new geometrical model for non-linear fluid flow through rough fractures.” J. Hydrol., 389(1–2), 18–30.
Jung, R. (1989). “Hydraulic in situ investigations of an artificial fracture in the Falkenberg granite.” Int. J. Rock Mech. Min. Sci. Abstr., 26(3–4), 301–308.
Kim, M.-M., and Zydney, L. A. (2004). “Effect of electrostatic, hydrodynamic, and brownian forces on particle trajectories and sieving in normal flow filtration.” J. Colloid Interface Sci., 269(2), 425–431.
Kishida, K., Mgaya, P., Ogura, K., and Hosoda, T. (2009). “Flow on a single rock fracture in the shear process and the validity of the cubic law examined through experimental results and numerical simulations.” Soils Found., 49(4), 597–610.
Kishida, K., Sawada, A., Yasuhara, H., and Hosoda, T. (2013). “Estimation of fracture flow considering the inhomogeneous structure of single rock fractures.” Soils Found., 53(1), 105–116.
Kolditz, O. (2001). “Non-linear flow in fractured rock.” Int. J. Numer. Method H, 11(6), 547–575.
Koyama, T., Neretnieks, I., and Jing, L. (2008). “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.” Int. J. Rock Mech. Min. Sci., 45(7), 1082–1101.
Li, Q., Wang, T., Xie, X., Shao, S., and Xia, Q. (2009). “A fracture network model and open fracture analysis of a tight sandstone gas reservoir in Dongpu Depresion, Bohaiwan Basin, eastern China.” Geophys. Prospect., 57(2), 275–282.
Min, K.-B., Rutqvist, J., and Elsworth, D. (2009). “Chemically and mechanically mediated influences on the transport and mechanical characteristics of rock fractures.” Int. J. Rock Mech. Min. Sci., 46(1), 80–89.
Mishra, G. C., and Parida, B. P. (2006). “Earth dam with toe drain on an impervious base.” Int. J. Geomech., 379–388.
Moutsopoulos, K. N. (2009). “Exact and approximate analytical solutions for unsteady fully developed turbulent flow in porous media and fractures for time dependent boundary conditions.” J. Hydrol., 369(1–2), 78–89.
Mulder, G., Busch, V. L. P., Reid, I., and Sleeswijk Visser, T. J. (1992). “Sole pit: Improving performance and increasing reserves by horizontal drilling.” Proc., European Petroleum Conf., Society of Petroleum Engineers, Richardson, TX, 83–94.
Nair, R., Abousleiman, Y., and Zaman, M. (2005). “Modeling fully coupled oil–gasflow in a dual-porosity medium.” Int. J. of Geomech., 326–338.
Nowamooz, A., Radilla, G., and Fourar, M. (2009). “Non-Darcian two-phase flow in a transparent replica of a rough-walled rock fracture.” Water Resour. Res., 45(7), 10.1029/2008WR007315, W07406.
Oron, A. P., and Berkowitz, B. (1998). “Flow in rock fractures: The local cubic law assumption reexamined.” Water Resour. Res., 34(11), 2811–2825.
Qian, J., Zhan, H., Chen, Z., and Ye, H. (2011). “Experimental study of solute transport under non-Darcian flow in a single fracture.” J. Hydrol., 399(3), 246–254.
Qian, J., Zhan, H., Zhao, W., and Sun, F. (2005). “Experimental study of turbulent unconfined groundwater flow in a single fracture.” J. Hydrol., 311(1–4), 134–142.
Ranjith, P. G. (2010). “An experimental study of single and two-phase fluid flow through fractured granite specimens.” Environ. Earth Sci., 59(7), 1389–1395.
Ranjith, P. G., and Viete, D. R. (2011). “Applicability of the ‘cubic law’ for non-Darcian fracture flow.” J. Petrol. Sci. Eng., 78(2), 321–327.
Shen, B., et al. (2011). “FRACOD modeling of rock fracturing and permeability change in excavation-damaged zones.” Int. J. Geomech., 302–313.
Singh, K. K., Singh, D. N., and Ranjith, P. G. (2014). “Simulating flow through fractures in a rock mass using analog material.” Int. J. Geomech., 8–19.
Vishal, V., Ranjith, P. G., Pradhan, S. P., and Singh, T. N. (2013a). “Permeability of sub-critical carbon dioxide in naturally fractured Indian bituminous coal at a range of down-hole stress conditions.” Eng. Geol., 167, 148–156.
Vishal, V., Ranjith, P. G., and Singh, T. N. (2013b). “CO2 permeability of Indian bituminous coals: implications for carbon sequestration.” Int. J. Coal Geol., 105, 36–47.
Vishal, V., Singh, L., Pradhan, S. P., Singh, T. N., and Ranjith, P. G. (2013c). “Numerical modeling of Gondwana coal seams in India as coalbed methane reservoirs substituted for carbon dioxide sequestration.” Energy, 49(1), 384–394.
Wang, H., Ju, Y., Ranjith, P. G., and Zhang, Q. (2013). “Numerical analysis of fluid flow in single rock fracture.” World Environmental and Water Resources Congress: Showcasing the Future, C. L. Patterson, S. D. Struck, and D. J. Murray, eds., ASCE, Reston, VA, 1769–1776.
Wen, Z., Huang, G., and Zhan, H. (2006). “Non-Darcian flow in a single confined vertical fracture toward a well.” J. Hydrol., 330(3–4), 698–708.
Witherspoon, P. A., Wang, J. S. Y., Iwai, K., and Gale, J. E. (1980). “Validity of cubic law for fluid flow in a deformable rock fracture.” Water Resour. Res., 16(6), 1016–1024.
Yeo, I. W., and Ge, S. (2001). “Solute dispersion in rock fractures by non-Darcian flow.” Geophys. Res. Lett., 28(20), 3983–3986.
Zeng, Z., and Grigg, R. (2006). “A criterion for non-Darcy flow in porous media.” Transp. Porous Media, 63(1), 57–69.
Zhang, Z., and Nemcik, J. (2013). “Fluid flow regimes and nonlinear flow characteristics in deformable rock fractures.” J. Hydrol., 477(1), 139–151.
Zimmerman, R. W., Al-Yaarubi, A., Pain, C. C., and Grattoni, C. A. (2004). “Non-linear regimes of fluid flow in rock fractures.” Int. J. Rock Mech. Min. Sci., 41(3), 384.

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Go to International Journal of Geomechanics
International Journal of Geomechanics
Volume 16Issue 3June 2016

History

Received: Jun 23, 2014
Accepted: Mar 17, 2015
Published online: Oct 27, 2015
Discussion open until: Mar 27, 2016
Published in print: Jun 1, 2016

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Authors

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Debanjan Guha Roy [email protected]
Ph.D. Researcher, Dept. of Earth Sciences, Indian Institute of Technology, Bombay Powai, Mumbai, Maharashtra 400076, India (corresponding author). E-mail: [email protected]
T. N. Singh [email protected]
Professor, Dept. of Earth Sciences, Indian Institute of Technology, Bombay Powai, Mumbai, Maharashtra 400076, India. E-mail: [email protected]

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