EfficientModeling of Flow and Transport in Porous Media Using Multiphysics andMultiscale Approaches

Rainer Helmig, Jennifer Niessner, Bernd Flemisch, Markus Wolff and Jochen Fritz
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Rainer Helmig: Institute of Hydraulic Engineering, Universität Stuttgart, Department of Hydromechanics and Modeling of Hydrosystems
Jennifer Niessner: Institute of Hydraulic Engineering, Universität Stuttgart, Department of Hydromechanics and Modeling of Hydrosystems
Bernd Flemisch: Institute of Hydraulic Engineering, Universität Stuttgart, Department of Hydromechanics and Modeling of Hydrosystems
Markus Wolff: Institute of Hydraulic Engineering, Universität Stuttgart, Department of Hydromechanics and Modeling of Hydrosystems
Jochen Fritz: Institute of Hydraulic Engineering, Universität Stuttgart, Department of Hydromechanics and Modeling of Hydrosystems

Chapter 15 in Handbook of Geomathematics, 2010, pp 417-457 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 chapter, we give a brief overview of existing upscaling, multiscale, and multiphysics 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 multiphysics method and a multiscale multiphysics algorithm.

Keywords: Porous Medium; Capillary Pressure; Relative Permeability; Representative Elementary Volume; Pressure Equation (search for similar items in EconPapers)
Date: 2010
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DOI: 10.1007/978-3-642-01546-5_15

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