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Mathematical Problems in Engineering
Volume 2014, Article ID 364678, 9 pages
Research Article

Productivity for Horizontal Wells in Low-Permeability Reservoir with Oil/Water Two-Phase Flow

1State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation, Southwest Petroleum University, Chengdu, Sichuan 610500, China
2School of Sciences, Southwest Petroleum University, Chengdu, Sichuan 610500, China

Received 30 October 2013; Revised 1 February 2014; Accepted 30 April 2014; Published 22 May 2014

Academic Editor: Paulo Batista Gonçalves

Copyright © 2014 Yu-Long Zhao et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper presents a semianalytical steady-state productivity of oil/water two-phase flow in low-permeability reservoirs with both top and bottom boundaries closed which takes the permeability stress-sensitive and threshold pressure gradient into account. Using the similar approach as Joshi’s (1988), the three-dimensional (3D) horizontal well problem is divided into two two-dimensional problems (2D), and then the corresponding nonlinear steady seepage mathematical models in vertical and horizontal planes are established. Through the separation of variables method and equivalent flow resistance principle, the productivity equation of horizontal well is obtained. The liquid and oil productivity with different influential factors are plotted, and the related effects are also analyzed. This paper expanded the conventional productivity equations of single phase into multiphase flow which have both theoretical and practical significance in predicting production behaviors in such reservoirs.