Abstract
Geothermal fields and hydrothermal mineral deposits are manifestations of the interaction between heat transfer and fluid flow in the Earth’s crust. Understanding the factors that drive fluid flow is essential for managing geothermal energy production and for understanding the genesis of hydrothermal mineral systems. We provide an overview of fluid flow drivers with a focus on flow driven by heat and hydraulic head. We show how numerical simulations can be used to compare the effect of different flow drivers on hydrothermal mineralisation. We explore the concepts of laminar flow in porous media (Darcy’s law) and the non-dimensional Rayleigh number (Ra) for free thermal convection in the context of fluid flow in hydrothermal systems in three dimensions. We compare models of free thermal convection to hydraulic head driven flow in relation to hydrothermal copper mineralisation at Mount Isa, Australia. Free thermal convection occurs if the permeability of the fault system results in Ra above the critical threshold, whereas a vertical head gradient results in an upward flow field.
Similar content being viewed by others
References
Bethke CM (1985) A numerical model of compaction-driven groundwater flow and heat transfer and its application to the paleohydrology of intracratonic sedimentary basins. J Geophys 90:6817–6828
Bjørlykke K, Mo A, Palm E (1988) Modelling of thermal convection in sedimentary basins and its relevance to diagenetic reactions. Mar Petrol Geol 5:338–351
Blake DH (1987) Geology of the Mount Isa Inlier and environs, Queensland and Northern Territory. BMR Bull Geol Geophys Aust 225:83
Brace WF (1980) Permeability of crystalline and argillaceous rocks. Int J Rock Mech Min Sci Geomech Abst 17:241–251
Brace WF (1984) Permeability of crystalline rocks: new in situ measurements. J Geophys Res 89:4327–4330
Carman PC (1956) The flow of gases through porous media. Academic Press, New York
Cathles LM (1981) Fluid flow and genesis of hydrothermal ore deposits. Society of economic geologists 75th anniversary volume, pp 424–457
Cathles LM, Smith AT (1983) Thermal constraints on the formation of Mississippi Valley-type lead–zinc deposits and their implications for episodic basin dewatering and deposit genesis. Econ Geol 78:983–1002
Clauser C (1992) Permeability of crystalline rocks. EOS Trans Am Geophys Union 73:233–237
Clauser C (2003) SHEMAT and processing SHEMAT—numerical simulation of reactive flow in hot aquifers. Springer Publishers, Heidelberg
Clauser C (2009) Heat transport processes in the earth’s crust. Surv Geophys (this volume)
Cox SF (2005) Coupling between deformation, fluid pressures, and fluid flow in ore-producing hydrothermal systems at depth in the crust. Society of economic geologists 100th anniversary volume, pp 30–75
Darcy H (1856) Les Fontaines Publiques de la Ville de Dijon. Victor Dalmont, Paris
Driesner T, Geiger S (2007) Numerical simulations of multiphase fluid flow in hydrothermal systems. In: Liebscher A, Heinrich CA (eds) Fluid–fluid interactions. Rev Mineral Geochem 65:187–212
Elmer FL, White RW, Powell R (2006) Devolatilisation of metabasic rocks during greenschist-amphibolite facies metamorphism. J Metamorph Geol 24:497–513
Etheridge MA, Wall VJ, Cox SF (1984) High fluid pressures during regional metamorphism and deformation: implications for mass transport and deformation mechanisms. J Geophys Res 89(B6):4344–4358
Fitts CR (2002) Groundwater science. Academic Press, London
Freeze RA, Cherry JA (1979) Groundwater. Prentice-Hall, Englewood Cliffs
Garven G, Freeze RA (1984) Theoretical analysis of the role of groundwater flow in the genesis of stratabound ore deposits. 1. Mathematical and numerical model. Am J Sci 284:1085–1124
Garven G, Raffensperger JP (1997) Hydrogeology and geochemistry of ore genesis in sedimentary basins. In: Barnes HL (ed) Hydrothermal ore deposits. Wiley, New York, pp 125–189
Gessner K (2007) Causative links between thermal history, deformation mode and hydrothermal mineralization in continental lithosphere of the Australian Proterozoic. In: Andrew C et al. (eds) Digging Deeper: proceedings of the ninth SGA biennial meeting, Dublin, 2007, pp 31–33
Gessner K (2009) Modelling deformation and fluid flow in hydrothermal systems. Surv Geophy (this volume)
Gessner K, Kühn M, Jones PA, Wilde AR (2005) 3D numerical modelling of strain localization, fluid flow, and reactive transport related to hydrothermal mineralization at Mount Isa, Australia. Geophys Res Abstr 7, 00188 (SRef-ID: 1607–7962/gra/EGU05-A-00188)
Gessner K, Kühn M, Rath V, Clauser C (2009) Coupled process models as a tool for analysing hydrothermal systems. Surv Geophys (this volume)
Heinrich CA, Bain JHC, Mernagh TP, Wyborn LAI, Andrew AS, Waring CL (1995) Fluid and mass transfer during metabasalt alteration and copper mineralization at Mount Isa, Australia. Econ Geol Bull Soc Econ Geol 90:705–730
Kühn M (2009) Modelling feed-back of chemical reactions on flow fields in hydrothermal systems. Surv Geophys (this volume)
Kühn M, Gessner K (2006) Reactive transport model of silicification at the Mount Isa copper deposit, Australia. J Geochem Explor 89(1–3):195–198. doi:10.1016/j.gexplo.2005.11.076
Kühn M, Gessner K (2009) Testing hypotheses for the Mount Isa copper mineralisation with numerical simulations. Surv Geophys (this volume)
Kühn M, Dobert F, Gessner K (2006) Numerical investigation of the effect of hetero-geneous permeability distributions on free convection in the hydrothermal system at Mount Isa, Australia. Earth Planet Sci Lett 244:655–671. doi:10.1016/j.epsl.2006.02.041
Langguth H-R, Voigt R (1980) Hydrogeologische Methoden. Springer Publishers, Berlin
Lapwood ER (1948) Convection of fluids in a porous medium. Proc Camb Philos Soc 44:508–521
Manning CE, Ingebritsen SE (1999) Permeability of the continental crust: implications of geothermal data and metamorphic systems. Rev Geophys 37:127–150
Matthäi SK, Roberts SG (1997) Transient versus continuous flow in seismically active faults: an investigation by electric analogue and numerical modelling. In: Jamtveit B, Yardley BWD (eds) Fluid flow and transport in rocks. Chapman and Hall, London, pp 263–296
Neumann SP (1990) Universal scaling of hydraulic conductivities and dispersivities in geologic media. Water Resour Res 26(8):1749
Neuzil CE (1994) How permeable are clays and shales? Water Resour Res 30(2):145–150
Oliver J (1986) Fluids expelled tectonically from orogenic belts: their role in hydrocarbon migration and other geologic phenomena. Geology 14:99–102
Oliver NHS, McLellan JG, Hobbs BE, Cleverley JS, Ord A, Feltrin L (2006) 100th anniversary special paper: numerical models of extensional deformation, heat transfer, and fluid flow across basement-cover interfaces during basin-related mineralization. Econ Geol 101:1–31
Pape H, Clauser C, Iffland J (1999) Permeability prediction for reservoir sandstones based on fractal pore space geometry. Geophysics 64(5):1447–1460
Raffensperger J, Vlassopoulos D (1999) The potential for free and mixed convection in sedimentary basins. Hydrogeol J 7:505–520
Reynolds O (1883) An experimental investigation of the circumstances which determine whether the motion of water shall be direct or sinous and of the law of resistance in parallel channels. Phil Trans R Soc Lond 174A:935–982
Saar MO, Manga M (2004) Depth dependence of permeability in the oregon cascades inferred from hydrogeologic, thermal, seismic, and magmatic modeling constraints. J Geophys Res Solid Earth 109(B4). doi:10.1029/2003JB002855, LBNL-54461
Schildknecht F, Schneider W (1987) About the validity of Darcy’s law under low hydraulic gradients in sediments characterized by cohesion. Geologisches Jahrbuch, Reihe C, Heft 48 (in German)
Sheldon HA, Ord A (2005) Evolution of porosity, permeability and fluid pressure in dilatant faults post-failure: implications for fluid flow and mineralization. Geofluids 5:272–288
Sheldon HA, Barnicoat AC, Ord A (2006) Numerical modelling of faulting and fluid flow in porous rocks: an approach based on critical state soil mechanics. J Struct Geol 28:1468–1482
Sibson RH, Moore JM, Rankin AH (1975) Seismic pumping—a hydrothermal fluid transport mechanism. J Geol Soc Lond 131:653–659
Solomon M, Groves DI (1994) The geology and origin of Australia’s mineral deposits. Oxf Monogr Geol Geophys 28:951
Titley SR (1990) Evolution and style of fracture permeability in intrusion-centered hydro-thermal systems. In: Bredehoeft JD, Norton DL (eds) The role of fluids in crustal processes. National Academy Press, Washington, DC, pp 50–63
Acknowledgements
We wish to thank Xstrata Copper for permission to use the Mount Isa Model. Part of the research work reported here was conducted within the predictive mineral discovery Cooperative Research Centre (pmd*CRC). Special thanks are given to Heather Sheldon and Margot Isenbeck-Schröter for their highly constructive reviews of this article.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Kühn, M., Gessner, K. Coupled Process Models of Fluid Flow and Heat Transfer in Hydrothermal Systems in Three Dimensions. Surv Geophys 30, 193–210 (2009). https://doi.org/10.1007/s10712-009-9060-8
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10712-009-9060-8