Analytical Solution of Fractional Order Diffusivity Equation With Wellbore Storage and Skin Effects-Reference-Cited by-同舟云学术

Analytical Solution of Fractional Order Diffusivity Equation With Wellbore Storage and Skin Effects

Published:2016-01-01 Issue:1 Volume:11 Page:
ISSN:1555-1415
Container-title:Journal of Computational and Nonlinear Dynamics
language:en
Short-container-title:

Author:

Razminia Kambiz¹,Razminia Abolhassan²,Tenreiro Machado J. A.³

Affiliation:

1. Department of Petroleum Engineering, Petroleum University of Technology, Ahwaz, Iran e-mail:

2. Dynamical Systems & Control (DSC) Research Laboratory, Department of Electrical Engineering, School of Engineering, Persian Gulf University, P.O. Box 75169, Bushehr, Iran e-mail:

3. Department of Electrical Engineering, Institute of Engineering, Polytechnic of Porto, Rua Dr. Antonio Bernardino de Almeida, 431, Porto 4200-072, Portugal e-mail:

Abstract

This paper addresses the model, solution, and analysis of fluid flow behavior in fractal reservoirs considering wellbore storage and skin effects (WS–SE). In the light of the fractional calculus (FC), the general form of fluid flow model considering the history of flow in all stages of production is presented. On the basis of Bessel functions theory, analytical solutions in the Laplace transform domain under three outer-boundary conditions, assuming the well is producing at a constant rate, are obtained. Based on the analytical solutions, various examples, discussing the pressure-transient behavior of a well in a fractal reservoir, are presented.

Publisher

ASME International

Subject

Applied Mathematics,Mechanical Engineering,Control and Systems Engineering,Applied Mathematics,Mechanical Engineering,Control and Systems Engineering

Link

http://asmedigitalcollection.asme.org/computationalnonlinear/article-pdf/doi/10.1115/1.4030534/6106300/cnd_011_01_011006.pdf

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