| Autor: | M. N. Dmitriev, N. M. Dmitriev, V. V. Kadet |
|---|---|
| Rok vydání: | 2003 |
| Předmět: |
Fluid Flow and Transfer Processes
Physics Darcy's law Mechanical Engineering Mathematical analysis Physics::Optics General Physics and Astronomy Thermodynamics Symmetry group Physics::Classical Physics Physics::Geophysics Permeability (earth sciences) Tensor Two-phase flow Anisotropy Relative permeability Principal axis theorem |
| Zdroj: | Fluid Dynamics. 38:284-292 |
| ISSN: | 0015-4628 |
| DOI: | 10.1023/a:1024229304312 |
| Popis: | For two-phase immiscible fluid flows a generalized Darcy's law is written in invariant tensor form for crystallographic point symmetry groups and anisotropic textures. The representation of the phase permeability coefficient tensors and the structure of the expressions for the relative phase permeabilities are analyzed for all symmetry groups. The relation between the phase and absolute permeability coefficient tensors is specified by a fourth-rank tensor with the external symmetry coinciding with external symmetry of the phase permeability tensors. It is shown that the external symmetry of the phase permeability coefficient tensors can differ from the external symmetry of the absolute permeability tensor. For triclinic and monoclinic symmetry groups it is shown that the phase permeability coefficient tensors may not be coaxial with each other and with the absolute permeability tensor; moreover, the directions of the principal axes of the phase permeability coefficient tensors can depend on the saturation. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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