Date

2011-01-01

Author

Doğan, Mehmet Onur

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Many flow problems in environmental, technical and biological systems are characterizedby a distinct interaction between a flow region in porous medium and a free flow region inquasi-one-dimensional hollow structures. Examples for such systems are: Mines: Methane released from unmined coal seams migrates through the porousrocks, but also through tunnels and shafts in the mine. Landslides: A sudden water infiltration through macro-pores may trigger landslides. Polymer electrolyte membrane fuel cells: The supply of reactive gases through free-flowchannels into the porous diffusion layers interacts strongly with the evacuationprocess of the water, which is formed at the cathode reaction layer and flows from theporous diffusion layers into the free-flow channels . Cancer therapy: Therapeutic agents are delivered via the blood vessels into the tissue,targeting the tumor cells.The goal of this study is to introduce new coupling strategies and to develop coupled numericalmodels which can form a basis for further studies modeling the complex systemsmentioned above.In this study, different model concepts based on a dual-continuum strategy for the simulationof coupled porous media flow with lower-dimensional pipe flow are further developedand tested. For the numerical implementation a special grid called 1D pipe network grid ina 3D porous grid is developed.The dual-continuum concept is extended for coupling multi-phase porous media flow withlower-dimensional single-phase pipe flow. The complexity of the considered flow regimesis increased gradually. Examples are given for a coupled single-phase incompressible andcompressible flow in both porous media and pipe flow domains. The single-phase couplingstrategy is tested by comparing the results with results of the experiment done in controlledlaboratory conditions. Furthermore, the coupling of single-phase pipe flow with a multiphaseflow based on Richards equation for the unsaturated soil zone is modeled, where theimportant role of capillary effects for the mass exchange rate between the two continua canbe illustrated. The next model introduces a concept for a two-phase porous media flow coupledwith a single-phase (gas) pipe flow problem, which reveals that the mobility exchangeterm can be decisive for the mass exchange rate. The final model presents a concept forcoupling two-phase two-component porous media flow with single-phase two-componentpipe flow. This model is able to simulate more complicated transport systems by accountingnot only for the mobility exchange term but also for the concentrations of the exchangedcomponents between the continua. It is shown that the concentration of the components ineach continua play a significant role for the compositional ratio of the exchanged mass.

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https://hdl.handle.net/11511/94519

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Department of Petroleum and Natural Gas Engineering, Book / Book chapter