Entwicklung und numerische Verifizierung eines Modells zur Einbeziehung des Effekts von Phasengrenzflächen bei Mehrphasenströmung in porösen Medien
Final Report Abstract
The aim of this project was lo overcome a severe shortcoming of standard multi-phase flow and transport models: despite the role of fluid-fluid interfaces for two-phase flow, hysteresis, and kinetic interphase mass transfer, this parameler is not accounted for. Therefore, a thermodynamically-based model of flow and transport in porous media was taken as a starting point. Within the research period in Utrecht • a balance equation for specific interfacial area was derived, a constitutive relationship between specific interfacial area, capillary presssure, and saturation was obtained from a pore-network model, and a source term of specific interfacial area was found by physical reasoning. All that was implemented in a numerical simulator (2pia model). • il could be shown that the 2pia model is able to account for capillary hysteresis without need for hysteretic capillary pressure-saturation curves. • parameters for the new model could be obtained from micro-model experimenis. • a semi-analytical solution was developed for a specific model setup which can be used as reference solution. • kinetic interphase mass transfer was modeled based on the inierfacial area model (2p2cia model). • a number of cooperations was established and will be pursued in the future.
Publications
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A model for two-phase flow including interfacial area, Conference "Muhi-scale problems in Science and Technology. Challenges to mathematical analysis and perspectives 2.", Dubrovnik, Croatia (30.9.-6.10.2007)
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A model for two-phase flow including interfacial area, EPFL Lausanne, Switzerland (28.9.2007)
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A model for two-phase flow including interfacial area, Utrecht University, Utrecht, The Netherlands (6.8.2007)
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Modeling of two-phase flow in porous media including fluid-fluid interfacial area, Institute of Hydraulic Engineering, University of Stuttgart, Germany (4.12.2007)
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Modeling of two-phase flow in porous media including fluid-fluid interfacial area,Technical University of Delft, The Netherlands (22.11.2007)
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Modeling of two-phase flow in porous media including phase-interfacial area, Marie Curie workshop on "Flow and transport in industrial porous media", Doorn, The Netherlands (12.-16.11.2007)
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Multi-Scale Multi-Physics Modeling of Flow and Transport in Porous Media, Institute of Applied Analysis and Numerical Simulation, University of Stuttgart, Germany (6.12.2007)
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Multi-scale-multi-physics modeling of flow and transport in porous media, Wageningen University, Wageningen, The Netherlands (20.9.2007)
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2008. A Model for Two-Phase Flow in Porous Media Including Fluid-Fluid Interfacial Area. Water Resources Research
Niessner, J. and Hassanizadeh, S.M.
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Modeling of mass transfer for two-phase flow in porous media including fluid-fluid interfacial area, NUPUS seminar, Zeist, The Netheriands (9.4.2008)
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Modeling two-phase flow in porous media including fluid-fluid interfacial area, ASME International Mechanical Engineering Congress & Exposition, Boston, Massachusetts, USA (31.10.-6.11.2008)
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Modeling two-phase flow in porous media including fluid-fluid interfacial area, Gordon Research Conference, Oxford, England (13.-18.7.2008)
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Two-Phase Flow Modeling in Porous Media Including Fluid-Fluid Interfacial Areas. EUROMECH colloquium 499: Nonlinear Mechanics of Multiphase Flow in Porous Media: Phase Transitions, Instability, Non-Equilibrium, Modelling (9.6.2008, Nancy)
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2008. Modeling kinetic interphase mass transfer for two-phase flow in porous media including fluid-fluid interfacial area. Transport in Porous Media
Niessner, J. and Hassanizadeh, S.M.
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2008. Two-phase flow and transport in porous media including fluid-fluid interfacial area. Multi-phase flow research, Nova Science Publishers
Niessner, J. and Hassanizadeh, S.M.
