The Flow Analysis of Fiuids in Fractal Reservoir with the Fractional Derivative

摘要: In this paper, fractional order derivative, fractal dimension and spectral are introduced into the seepage flow mechanics to establish models of fluids in reservoirs with derivative. The characteristics through a reservoir derivative studied by using finite integral transform, discrete Laplace transform sequential derivatives generalized Mittag-Leffler function. Exact solutions obtained for arbitrary long-time short-time asymptotic an infinite formation also obtained. pressure transient behavior is Stehfest's inversion method numerical transform. It shows that affect whole behavior, particularly, effect early-time stage larger new type model fluid provided mathematical studying porous media.