Numerical Simulation of a Single-Phase Flow Through Fractures with Permeable, Porous and Non-Ductile Walls

N. Pour Mahmoud, A. Zabihi

Abstract


This paper attempts to study flows within fractures through a set of numerical simulations. In addition, a special care is given to hydraulic features and characteristics of fractures. The research is performed through the application of calculative fluid dynamics and a finite volume discrete schema. The investigated flows are laminar, single-phase and stable flows of water and air through fractures with penetrable walls. The selected fracture geometry is inspired from the tomographic scan of a stone fracture. Water and air are modeled in fractures with permeable walls and different permeability levels. It has been observed that in case of permeable matrixes, the friction coefficient is lower compared to impermeable matrixes. In fact permeability reduced friction. In addition, highest pressure drops were observed in areas with smaller fracture diaphragms. Nonetheless, the surrounding area of the fracture is analyzed with the consideration of Darcy's rule.


Keywords


fracture; pressure gradient; porous media; single-phase flow numerical simulation; Darcy's rule; laminar flow; matrix

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References


J. S. Konzuk, B. H. Kueper, “Evaluation of cubic law based models describing single-phase flow through a rough-walled fracture”, Water Resources Research, Vol. 40, No. 2, 2004

J. Johnson, S. Brown, “Experimental mixing variablity in intersecting natural fractures”, Geophysical Research Letters Vol. 28, No. 22, pp. 4303-4306, 2001

M. Billstein, U. Svensson, N. Johansson, “Application and validation of a numerical model of flow through embankment dams with fractures, comparisons with experimental data”, Canadian Geotechnical Journal, Vol. 36, No. 4, pp. 651-659, 1999

R. W. Zimmerman, G. S. Bodvarsson, “Hydraulic conductivity of rock fractures”, Transport in Porous Media, Vol. 23, No. 1, pp. 1-30, 1996

A. E. Scheidegger, Physics of Flow through Porous Media, University of Toronto Press, Toronto, 1974

V. Muralidharan, D. Chakravarthy, E. Putra, D. S. Schechter, “Simulation of Fluid Flow Through Rough Fractures”, SPE Annual Technical Conference and Exhibition, pp. 26-29, 2004

M. Lespinasse, J. Sausse, “Quantification of fluid flow: hydromechanical behaviour of different natural rough fractures”, Journal of Geochemical Exploration, Vol. 69-70, pp. 483–486, 2000

H. H. Liu, C. B. Haukwa, C. F., Ahlers, G. S. Bodvarsson, A. L. Flint, W. B. Guertal, ”Model flow and transport in unsaturated fractured rock: an evaluation of the continuum approach”, Journal of Contaminant Hydrology, Vol. 62–63, pp. 173–188, 2003

S. L. Bryant, R. K. Paruchuri, K. P. Saripalli, “Flow and solute transport around injection wells through a single growing fracture”, Advances in Water Resources, Vol. 26, No. 8, pp. 803–813, 2003

T. Hirono, M. Takahashi, S. Nakashima, “In situ visualization of fluid flow image within deformed rock by X-ray CT”, Engineering Geology Vol. 70, No. 1-2, pp. 37–46, 2000

Z. T. Karpyn, G. Li, P. M. Halleck, A. S. Grader, “Factors favoring the formation of fluid banks during counter-current flow in porous media”, EGS-AGU-EUG Joint Assembly, 2003

K. Nazridoust, G. Ahmadi, D. H. Smith, “New friction factor correlation for laminar, single phase flows through rock fractures”, Journal of Hydrology, Vol. 329, No. 1-2, pp. 315–328, 2006




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