Fractured-Well Performance Under Anomalous Diffusion

Abstract

Summary It is shown that pressure distributions in a fractal network that are descriptive of flow in porous media produced through fractured wells may be obtained by computing integrals of the form ∫x∞λaKv(λ)dλ, where a ≠ 0 is a constant. A simple series solution for computing this integral in terms of well-known expressions is provided. Solutions for the pressure distribution are derived in terms of the Laplace transform, and the viability of the computations is demonstrated. Potential extensions of the derived solutions are noted.