Analysis of Diffusion Process in Fractured Reservoirs using Fractional Derivative Approach, By Abolhassan Razminia

Research

Title	Analysis of Diffusion Process in Fractured Reservoirs using Fractional Derivative Approach
Type	Article
Keywords	—
Journal	Communications in Nonlinear Science and Numerical Simulation
DOI	—
Researchers	Abolhassan Razminia (Second researcher) ,

Abstract

The fractal geometry is used to model of a naturally fractured reservoir and the concept of fractional derivative is applied to the diffusion equation to incorporate the history of fluid flow in naturally fractured reservoirs. The resulting fractally fractional diffusion (FFD) equation is solved analytically in the Laplace space for three outer boundary conditions. The analytical solutions are used to analyze the response of a naturally fractured reservoir considering the anomalous behavior of oil production. Several synthetic examples are provided to illustrate the methodology proposed in this work and to explain the diffusion process in fractally fractured systems.