The Transient Flow Analysis of Fluid in a Fractal, Double-Porosity Reservoir

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• 作者：Yuedong Yao (1) yaoyuedong@163.com
  Yu-Shu Wu (2) YWu@mines.edu
  Ronglei Zhang (2) rozhang@mines.edu
• 关键词：Fractal reservoir – ; Double porosity – ; Quadratic gradient – ; Transient flow – ; Laplace transform
• 刊名：Transport in Porous Media
• 出版年：2012
• 出版时间：August 2012
• 年：2012
• 卷：94
• 期：1
• 页码：175-187
• 全文大小：499.3 KB
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• 作者单位：1. MOE Key Laboratory of Petroleum Engineering, China University of Petroleum, Beijing, 102249 China2. Department of Petroleum Engineering, Colorado School of Mines, Golden, CO, USA
• ISSN：1573-1634

文摘

The mathematical model for transient fluid flow in porous media is based in general on mass conservation principle. Because of the small compressibility of formation fluid, the quadratic term of pressure gradient is always ignored to linearize the non-linear diffusion equation. This may result in significant errors in model prediction, especially at large time scale. In order to solve this problem, it may be necessary to keep the quadratic term in the non-linear equations. In our study, the quadratic term is reserved to fully describe the transient fluid flow. Based on this rigorous treatment, the mathematical models are established to analyze the transient flow behavior in a double porosity, fractal reservoir with spherical and cylindrical matrix. In addition, Laplace transformation method is employed to solve these mathematical models and the type curves are provided to analyze the pressure transient characteristics. This study indicates that the relative errors in calculated pressure caused by ignoring the quadratic term may amount to 10 % in a fractal reservoir with double porosity, which can’t be neglected in general for fractal reservoirs with double porosity at large time scale.