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Modeling of Fluid Transport in Geothermal Research

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Handbook of Geomathematics

Abstract

Extraction of heat stored in the rocks in Earth’s upper crust requires a fluid to which the heat can be transferred and that can migrate through the conduits in the rock. Flow of these fluids requires gradients in fluid pressure. Often, a linear relation between flow rate and pressure gradient offers a sufficiently precise description. Fluid pressure in turn couples the flow with the deformation of the solid host. We derive and analyze the governing equations underlying these hydro-mechanical, coupled problems. Our presentation addresses simple conduits and porous media. The latter are tackled from a continuum perspective, specifically mixture theory. Analytical and numerical solutions of the differential equations are analyzed for scenarios from well testing to propagation of elastic waves. Well testing constitutes the traditional tool for hydraulic characterization of geothermal reservoirs. Evaluation of attenuation of elastic waves may allow for hydraulic characterization and monitoring relying on surveys.

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Authors and Affiliations

  1. Experimentelle Geophysik - Institut für Geologie, Mineralogie und Geophysik, Ruhr-Universität Bochum, Bochum, Germany

    Jörg Renner

  2. Kontinuumsmechanik - Mechanik, Ruhr-Universität Bochum, Bochum, Germany

    Holger Steeb

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  1. Jörg Renner
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Correspondence to Jörg Renner .

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  1. Geomathematics Group, University of Kaiserslautern, Kaiserslautern, Germany

    Willi Freeden

  2. Department of Mathematics, University of Central Florida, Orlando, Florida, USA

    M. Zuhair Nashed

  3. Computational Mathematics, Technische Universität Braunschweig, Braunschweig, Germany

    Thomas Sonar

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Renner, J., Steeb, H. (2015). Modeling of Fluid Transport in Geothermal Research. In: Freeden, W., Nashed, M., Sonar, T. (eds) Handbook of Geomathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-54551-1_81

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