MODELING OF VISCOUS FLUID FILTRATION IN POROUS MEDIA WITH CYLINDRICAL SYMMETRY

摘要

Multiscale homogenization was applied in modeling the Darcy filtration of viscous incompressible fluid in cylindrical geometry. In the ID case, components of permeability tensors were considered to be periodical over both radius and angle. Averaged equations were derived for the case of a large inner radius of the cylinder. The derivation of the effective components of permeability tensor was reduced to the solution of the cell problems. Numerical simulations of pressure distribution and velocity of the fluid were performed for the case of r-periodicity of permeability tensor components.