Article: Analytical solution and flow behaviour of horizontal well in stress-sensitive naturally fractured reservoirs Journal: International Journal of Oil, Gas and Coal Technology (IJOGCT) 2016 Vol.11 No.4 pp.350 - 369 Abstract: This paper presents nonlinear mathematical models to analyse the fluid flow behaviour from such reservoir to a horizontal well with the consideration of permeability stress-sensitive. The models assume the formation permeability is an exponential function of the pressure in fracture system. By using perturbation technique, Laplace and Fourier transforms, the solutions are obtained in Laplace space. For well producing at a constant rate, the pressure drop increases with the increasing of permeability modules (γ) and the derivative curves will be warped up during the later radial flow period. For well producing at a constant pressure, the bigger the γ is, the lower the production rate will be. The reliable agreement between the analytical solution with the numerical solution prove the correctness of the results obtained in this paper, which have both theoretical and practical significance in predicting production performance and evaluating groundwater flow and contaminant transport in such formations. [Received: November 4, 2013; Accepted: September 22, 2014] Inderscience Publishers - linking academia, business and industry through research

Title: Analytical solution and flow behaviour of horizontal well in stress-sensitive naturally fractured reservoirs

Authors: Yu-Long Zhao; Lie-Hui Zhang; Bing-qing Xu; Huai-cai Fan

Addresses: State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation, Southwest Petroleum University, Chengdu 610500, China ' State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation, Southwest Petroleum University, Chengdu 610500, China ' Engineering and Technical Supervision Department, PetroChina Southwest Oil and Gas Field Company, Chengdu, Sichuan 610051, China ' Research Institute of Petroleum Exploration and Development, PetroChina Southwest Oil and Gas Field Company, Chengdu 610501, China

Abstract: This paper presents nonlinear mathematical models to analyse the fluid flow behaviour from such reservoir to a horizontal well with the consideration of permeability stress-sensitive. The models assume the formation permeability is an exponential function of the pressure in fracture system. By using perturbation technique, Laplace and Fourier transforms, the solutions are obtained in Laplace space. For well producing at a constant rate, the pressure drop increases with the increasing of permeability modules (γ) and the derivative curves will be warped up during the later radial flow period. For well producing at a constant pressure, the bigger the γ is, the lower the production rate will be. The reliable agreement between the analytical solution with the numerical solution prove the correctness of the results obtained in this paper, which have both theoretical and practical significance in predicting production performance and evaluating groundwater flow and contaminant transport in such formations. [Received: November 4, 2013; Accepted: September 22, 2014]

Keywords: horizontal wells; permeability; stress; naturally fractured reservoirs; oil technology; analytical solutions; mathematical modelling; fluid flow; nonlinear models; oil wells; pressure drop; fracture; perturbation; Laplace transforms; Fourier transforms; performance evaluation; groundwater flow; contaminant transport.

DOI: 10.1504/IJOGCT.2016.075087

International Journal of Oil, Gas and Coal Technology, 2016 Vol.11 No.4, pp.350 - 369

Received: 11 Nov 2013
Accepted: 04 Oct 2014
Published online: 03 Mar 2016 *

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Title: Analytical solution and flow behaviour of horizontal well in stress-sensitive naturally fractured reservoirs

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