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Multiphase Thermohaline Convection in the Earth’s Crust: II. Benchmarking and Application of a Finite Element – Finite Volume Solution Technique with a NaCl–H2O Equation of State

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Abstract

We present the benchmarking of a new finite element – finite volume (FEFV) solution technique capable of modeling transient multiphase thermohaline convection for geological realistic p-T-X conditions. The algorithm embeds a new and accurate equation of state for the NaCl–H2O system. Benchmarks are carried out to compare the numerical results for the various component-processes of multiphase thermohaline convection. They include simulations of (i) convection driven by temperature and/or concentration gradients in a single-phase fluid (i.e., the Elder problem, thermal convection at different Rayleigh numbers, and a free thermohaline convection example), (ii) multiphase flow (i.e., the Buckley–Leverett problem), and (iii) energy transport in a pure H2O fluid at liquid, vapor, supercritical, and two-phase conditions (i.e., comparison to the U.S. Geological Survey Code HYDROTHERM). The results produced with the new FEFV technique are in good agreement with the reference solutions. We further present the application of the FEFV technique to the simulation of thermohaline convection of a 400°C hot and 10 wt.% saline fluid rising from 4 km depth. During the buoyant rise, the fluid boils and separates into a high-density, high-salinity liquid phase and a low-density, low-salinity vapor phase.

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Authors and Affiliations

  1. Department of Earth Sciences, Institute for Isotope Geology and Mineral Resources, ETH Zürich, Sonneggstr. 5, CH-8092, Zürich, Switzerland

    Sebastian Geiger, Thomas Driesner & Christoph A. Heinrich

  2. Department of Earth Science and Engineering, Imperial College, London, SW7 2AZ, U.K.

    Stephan K. Matthäi

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  1. Sebastian Geiger
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  2. Thomas Driesner
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  3. Christoph A. Heinrich
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  4. Stephan K. Matthäi
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Correspondence to Sebastian Geiger.

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Geiger, S., Driesner, T., Heinrich, C.A. et al. Multiphase Thermohaline Convection in the Earth’s Crust: II. Benchmarking and Application of a Finite Element – Finite Volume Solution Technique with a NaCl–H2O Equation of State. Transp Porous Med 63, 435–461 (2006). https://doi.org/10.1007/s11242-005-0109-y

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