A Multi-Scale Approach to Model Two-Phase Flow in Heterogeneous Porous Media
The immiscible displacement of a wetting fluid by a non-wetting one in heterogeneous porous media is modeled using a multi-scale network-type analysis: (1) The pressure-controlled immiscible displacement of water by oil in pore-and-throat networks (1st length scale ~ 1 mm) is simulated as a capillar...
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| Veröffentlicht in: | Transport in porous media 2012-09, Vol.94 (2), p.525-536 |
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| creator | Tsakiroglou, Christos D. |
| description | The immiscible displacement of a wetting fluid by a non-wetting one in heterogeneous porous media is modeled using a multi-scale network-type analysis: (1) The pressure-controlled immiscible displacement of water by oil in pore-and-throat networks (1st length scale ~ 1 mm) is simulated as a capillary-driven process. (2) The pressure-controlled immiscible displacement in uncorrelated cubic lattices (2nd length scale ~ 1 cm) is simulated as a site percolation process governed by capillary and gravity forces. At this scale, each node represents a network of the previous scale. (3) The rate-controlled immiscible displacement of water by oil in cubic networks (3rd length scale ~ 10 cm), where each node represents a lattice of the previous scale, is simulated by accounting for capillary, gravity, and viscous forces. The multi-scale approach along with the information concerning the pore structure properties of the porous medium can be employed to determine the transient responses of the pressure drop and axial distribution of water saturation, and estimate the effective (up-scaled) relative permeability functions. The method is demonstrated with application to data of highly heterogeneous soils. |
| doi_str_mv | 10.1007/s11242-011-9882-y |
| format | Article |
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(2) The pressure-controlled immiscible displacement in uncorrelated cubic lattices (2nd length scale ~ 1 cm) is simulated as a site percolation process governed by capillary and gravity forces. At this scale, each node represents a network of the previous scale. (3) The rate-controlled immiscible displacement of water by oil in cubic networks (3rd length scale ~ 10 cm), where each node represents a lattice of the previous scale, is simulated by accounting for capillary, gravity, and viscous forces. The multi-scale approach along with the information concerning the pore structure properties of the porous medium can be employed to determine the transient responses of the pressure drop and axial distribution of water saturation, and estimate the effective (up-scaled) relative permeability functions. 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(2) The pressure-controlled immiscible displacement in uncorrelated cubic lattices (2nd length scale ~ 1 cm) is simulated as a site percolation process governed by capillary and gravity forces. At this scale, each node represents a network of the previous scale. (3) The rate-controlled immiscible displacement of water by oil in cubic networks (3rd length scale ~ 10 cm), where each node represents a lattice of the previous scale, is simulated by accounting for capillary, gravity, and viscous forces. The multi-scale approach along with the information concerning the pore structure properties of the porous medium can be employed to determine the transient responses of the pressure drop and axial distribution of water saturation, and estimate the effective (up-scaled) relative permeability functions. The method is demonstrated with application to data of highly heterogeneous soils.</description><subject>Capillary pressure</subject><subject>Civil Engineering</subject><subject>Classical and Continuum Physics</subject><subject>Computer simulation</subject><subject>Displacements (lattice)</subject><subject>Earth and Environmental Science</subject><subject>Earth Sciences</subject><subject>Geotechnical Engineering & Applied Earth Sciences</subject><subject>Gravitation</subject><subject>Hydrogeology</subject><subject>Hydrology/Water Resources</subject><subject>Industrial Chemistry/Chemical Engineering</subject><subject>Lattices</subject><subject>Miscibility</subject><subject>Multiscale analysis</subject><subject>Percolation</subject><subject>Porosity</subject><subject>Porous media</subject><subject>Pressure drop</subject><subject>Soil permeability</subject><subject>Stress concentration</subject><subject>Transient response</subject><subject>Two phase 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| ispartof | Transport in porous media, 2012-09, Vol.94 (2), p.525-536 |
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| subjects | Capillary pressure Civil Engineering Classical and Continuum Physics Computer simulation Displacements (lattice) Earth and Environmental Science Earth Sciences Geotechnical Engineering & Applied Earth Sciences Gravitation Hydrogeology Hydrology/Water Resources Industrial Chemistry/Chemical Engineering Lattices Miscibility Multiscale analysis Percolation Porosity Porous media Pressure drop Soil permeability Stress concentration Transient response Two phase flow Wetting |
| title | A Multi-Scale Approach to Model Two-Phase Flow in Heterogeneous Porous Media |
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