Mathematical Modeling of Filtration Processes in Porous Media

作者: Anatoly Nikolaevich Filippov

DOI: 10.1007/978-1-4471-6377-0_13

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摘要: The current variety of filtration theories suggests that the porous medium and fluid filling it form some continuous medium. That is, elements medium-fluid system, though considered physically infinitesimal, however, are large enough compared to size pores particles (grains, fibers) forming a Averaged characteristics medium, which introduced for mathematical description, may be sufficiently substantiated only volume with number enclosed particles. In terms elementary theory filtration, meaning solid skeleton above all, geometric—the limits region space in moves. more complex cases, we have seen strong interaction between adjacent layers fluid. Therefore, properties usually described by set geometric averages. this chapter, several cell models calculation hydrodynamic permeability media. It is assumed media general consist partially spherical or cylindrical Different limiting cases investigated theoretical results experimental data.

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