Filtration law for power-law fluids in anisotropic porous media

Jean-Louis Auriault (1) , Pascale Royer (1) , Christian Geindreau (1)

1 3SR - Laboratoire sols, solides, structures - risques [Grenoble]

his work is concerned with modelling steady-state slow flow of incompressible power-law fluids in porous media. The macroscopic filtration law is derived by upscaling the pore–scale description. The upscaling technique in use is the homogenisation method of multiple scales. Then, the filtration law is investigated by means of the theory of representation of isotropic tensor function of tensor arguments. The general form of the filtration law is given for isotropic, transversely isotropic, orthotropic and fully anisotropic systems.

Domaines: Mécanique des fluides [physics.class-ph]; Mécanique des solides [physics.class-ph]

Jean-Louis Auriault, Pascale Royer, Christian Geindreau. Filtration law for power-law fluids in anisotropic porous media. International Journal of Engineering Science, 2002, 40 (10), pp.1151-1163. ⟨10.1016/S0020-7225(02)00007-1⟩. ⟨hal-01934064⟩