Efficient Modeling of Flow and Transport in Porous Media Using Multi-physics and Multi-scale Approaches

Rainer Helmig (), Bernd Flemisch, Markus Wolff and Benjamin Faigle
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Rainer Helmig: Institute of Hydraulic Engineering, University of Stuttgart, Department of Hydromechanics and Modeling of Hydrosystems
Bernd Flemisch: Institute of Hydraulic Engineering, University of Stuttgart, Department of Hydromechanics and Modeling of Hydrosystems
Markus Wolff: Institute of Hydraulic Engineering, University of Stuttgart, Department of Hydromechanics and Modeling of Hydrosystems
Benjamin Faigle: Institute of Hydraulic Engineering, University of Stuttgart, Department of Hydromechanics and Modeling of Hydrosystems

A chapter in Handbook of Geomathematics, 2015, pp 703-749 from Springer

Abstract: Abstract Flow and transport processes in porous media including multiple fluid phases are the governing processes in a large variety of geological and technical systems. In general, these systems include processes of different complexity occurring in different parts of the domain of interest. The different processes mostly also take place on different spatial and temporal scales. It is extremely challenging to model such systems in an adequate way accounting for the spatially varying and scale-dependent character of these processes. In this work, we give a brief overview of existing upscaling, multi-scale, and multi-physics methods, and we present mathematical models and model formulations for multiphase flow in porous media including compositional and non-isothermal flow. Finally, we show simulation results for two-phase flow using a multi-physics and a multi-scale method.

Keywords: Porous Medium; Capillary Pressure; Relative Permeability; Representative Elementary Volume; Coarse Scale (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-54551-1_15

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DOI: 10.1007/978-3-642-54551-1_15

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