Abstract
This chapter deals with theory and computation of fluid flow in fractured rock. Non-Darcian flow behavior was observed in pumping tests at the geothermal research site at Soultz-sous-Forêts (France). Examples are examined to demonstrate the influence of fracture roughness and pressure-gradient dependent permeability on pressure build-up. A number of test examples based on classical models by Darcy (1856), Blasius (1913), Nikuradse (1930), Lomize (1951) and Louis (1967) are investigated, which may be suited as benchmarks for nonlinear flow. This is a prelude of application of the non-linear flow model to real pumping test data. Frequently, conceptual models based on simplified geometric approaches are used. Here, a realistic fracture network model based on borehole data is applied for the numerical simulations. The obtained data fit of the pumping test shows the capability of fracture network models to explain observed hydraulic behavior of fractured rock systems.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Bibliography
Bear, J. (1972), Dynamics of fluids in porous media, American Elsevier.
Blasius, H. (1913), Das Ähnlichkeitsgesetz bei Reibungsvorgängen in Flüssigkeiten, Forsch. Ing.-Wesen, VDI-Heft 131.
Barenblatt, G.I., Entov, V.M. & Ryzhik, V.M. (1990), Theory of fluid flows through natural rocks, Kluwer Academic Publishers.
Brown, S.R. (1987), “Fluid flow through rock joints: The effect of surface roughness”, J Geophysical Research, Vol. 92, No. B2, pp. 1337–1347.
Busch, K.-F., Luckner, L. & Thiemer, K. (1993), Geohydraulik, In: Matthess, G. (Hrsg.), Lehrbuch der Hydrogeologie, Band 3, Gebrüder Borntraeger Verlag, Berlin — Stuttgart.
Couland, O., Morel, P, & Caltagirone, J.-P. (1986), “Effects non lineaires dans les ecoulements en milieu poreux”, C.R. Acad. Sci., ser. 2, vol 302, pp. 263–266.
Darcy, H. (1856), Les fontaines publiques de la ville de Dijon, Dalmont, Paris.
Diersch, H.-J. G. (1985), Modellierung und numerische Simulation geohydrody-namischer Transportprozesse, Habilitationsschrift, Akademie der Wissenschaften der DDR, Berlin.
Dullien, F.A.L. (1979), Porous media, fluid transport and pore structure, Academic Press, New York.
Dybbs, A. & Edwards, R.V. (1984), A new look at porous media fluid mechanics — Darcy to turbulent, in Bear & Corapcioglu (eds), Fundamentals of transport phenomena in porous media, pp. 201-256. Dordrecht Publisher.
Forchheimer, P. (1914), Hydraulik, Teubner Verlag, Berlin-Leipzig.
Häfner, F. (1985), Geohydrodynamische Erkundung von Erdöl-, Erdgas-und Grundwasserlagerstätten, Wissenschaftlich-Technischer Informationsdienst des Zentralen Geologischen Instituts, Vol. 26, Berlin.
Jung, R., Willis-Richards, J., Nicholls, J.D., Bertozzi, A. & Heinemann, B. (1995), “Evaluation of hydraulic test at Soultz — European HDR site”, In: Proc. Worlds Geothermal Congress, pp. 2575-2580, Florenz.
Kaiser, R., Kolditz, O. & Rother, T. (1999), “Modelling of flow in fractured aquifers using automatic grid adaptation”, In: Proc. XXVIII IAHR Conference on Hydraulic Engineering for Sustainable Water Resources Management, Graz.
Kohl, T., Evans, K.F., Hopkirk, R.J., Jung, R. & Rybach, L. (1997), “Observation and Simulation of non-Darcian flow transients in fractured rock”, Water Res. Research, Vol. 33 No. 3, pp. 407–418.
Kolditz, O. (1997), Strömung, Stoff-und Wärmetransport im Kluftgestein, Borntraeger Verlag, Berlin-Stuttgart.
Kolditz, O. & Clauser, C. (1998): “Numerical simulation of flow and heat transfer in fractured crystalline rocks: Application to the hot dry rock site at Rosemanowes (UK)”, Geothermics, 27(1): 1–23.
Kolditz, O., Habbar, A., Kaiser, R., Rother, T.& Thorenz, C. (1999), ROCK-FLOW — Theory and Users Manual, Release 3.4, Groundwater Modeling Group, Institute of Fluid Mechanics, University of Hannover, (www.rockflow.de).
Lamb, H. (1932), Hydrodynamics, Cambridge University Press.
Lewis R W & Schrefler B A (1998): The finite element method in the static and dynamic deformation and consolidation of porous media, Wiley & Sons.
Lomize, G.M. (1951), Seepage in fissured rocks, State Press, Moscow-Leningrad.
Louis, C. (1967), Strömungsvorgänge in klüftigen Medien und ihre Wirkung auf die Standsicherheit von Bauwerken und Böschungen im Fels, Mitteilungen des Instituts für Boden-und Felsmechanik, Heft 23, Universität Karlsruhe.
Moreno, L., Tsang, Y.W., Tsang, C.F., Hale, F.V. & Neretnieks, I. (1988), “Flow and tracer transport in a single fracture: A stochastic model and its relation to some field observations”, Water Res. Research, Vol. 24 No. 12, pp. 2033–2048.
Nikuradse, J. (1930), “Turbulente Strömungen in nicht-kreisförmigen Rohren”, Ing. Arch., Vol. 1, pp. 306–332.
Pinder, G.F. & Gray, W.G. (1977), Finite element simulation in surface and subsurface hydrology, Academic Press, New York-London.
Pribnow, D. & Clauser, C. (1999), Heat and fluid flow in the Rhein graben: Regional and local models for a HDR system, Technical Report, Institut für Geowissenschaftliche Gemeinschaftsaufgaben (GGA)
Romm, E.S. (1966), Seepage properties of fractured rock, (in Russian), Nedra Publisher, Moscow.
Rother, T., Kolditz, O., Zielke, W. & Taniguchi, T. (2000), Geometric analysis of fractured-porous aquifers, Rockflow-Preprint [2000–3], Groundwater Modeling Group, Institute of Fluid Mechanics, University of Hannover, accepted for publication by J Environmental Geology.
Scheidegger A. E. (1974), The physics of flow through porous media, University of Toronto Press, 3rd edition.
Tsang, Y.W. (1992), “Usages of equivalent apertures for rock fractures as derived from hydraulic and tracer tests”, Water Res. Research, Vol. 28 No. 5, pp. 1451–1455.
Witherspoon, P.A., Wang, J.S.Y., Iwai, K. & Gale, J.E. (1980), “Validity of cubic law for fluid flow in a deformable rock fracture”, Water Res. Research, Vol. 16 No. 6, pp. 1016–1024.
Zielke, W. (1990), Strömungsmechanik für Bauingenieure, Eigenverlag, Institut für Strömungsmechanik, Universität Hannover.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2002 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Kolditz, O. (2002). Non-Linear Flow in Fractured Media. In: Computational Methods in Environmental Fluid Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04761-3_12
Download citation
DOI: https://doi.org/10.1007/978-3-662-04761-3_12
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-07683-1
Online ISBN: 978-3-662-04761-3
eBook Packages: Springer Book Archive