Non-newtonian fluids flowing in fractal porous media

摘要

Fractal is a powerful tool to describe the geometry for kinds of heterogeneous and disordered media, this paper comprehensively studies the mechanics of non-Newtonian fluids flow through fractal media reservoirs in different cases with the analytical methods. Firstly, the mathematical models of non-Newtonian viscoelastic fluids with relaxation property flow in the fractal porous media are present. Then, the analytical solutions in the real space are developed utilizing such analytical technique as generalized orthogonal transform. Emphatically, the fractional derivative is introduced into the rheology for non-Newtonian viscoelastic fluids flow in fractal porous media. Finally, application the pressure response to well test.