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A New Way to Calculate Flow Pressure for Low Permeability Oil Well with Partially Penetrating Fracture

机译：低渗透部分裂缝低渗透油井流动压力计算新方法

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摘要

In order to improve the validity of the previous models on calculating flow pressure for oil well with partially perforating fracture, a new physical model that obeys the actual heterogeneous reservoir characteristics was built. Different conditions, including reservoir with impermeable top and bottom borders or the reservoir top which has constant pressure, were considered. Through dimensionless transformation, Laplace transformation, Fourier cosine transformation, separation of variables, and other mathematical methods, the analytical solution of Laplace domain was obtained. By using Stephenson numerical methods, the numerical solution pressure in a real domain was obtained. The results of this method agree with the numerical simulations, suggesting that this new method is reliable. The following sensitivity analysis showed that the pressure dynamic linear flow curve can be divided into four flow streams of early linear flow, midradial flow, advanced spherical flow, and border controlling flow. Fracture length controls the early linear flow. Permeability anisotropy significantly affects the midradial flow. The degree of penetration and fracture orientation dominantly affect the late spherical flow. The boundary conditions and reservoir boundary width mainly affect the border controlling flow. The method can be used to determine the optimal degree of opening shot, vertical permeability, and other useful parameters, providing theoretical guidance for reservoir engineering analysis.
机译：为了提高先前模型在计算部分射孔裂缝油井流动压力方面的有效性，建立了一个符合实际非均质油藏特征的新物理模型。考虑了不同的条件，包括具有不可渗透的顶部和底部边界的储层或具有恒定压力的储层顶部。通过无量纲变换，拉普拉斯变换，傅立叶余弦变换，变量分离等数学方法，获得了拉普拉斯域的解析解。通过使用Stephenson数值方法，获得了实数域中的数值解压力。该方法的结果与数值模拟结果吻合，表明该新方法是可靠的。以下敏感性分析表明，压力动态线性流曲线可分为早期线性流，中径向流，高级球形流和边界控制流四个流。断裂长度控制着早期的线性流动。磁导率各向异性会显着影响中径流量。渗透程度和裂缝方向主要影响后期的球形流动。边界条件和储层边界宽度主要影响边界控制流。该方法可用于确定最佳开裂程度，垂直渗透率和其他有用参数，为油藏工程分析提供理论指导。

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  • 来源
    《Mathematical Problems in Engineering》 |2018年第6期|4570539.1-4570539.10|共10页
  • 作者

    Xiong Ping; Liu Hailong; Hu Haixia; Wang Guan;

  • 作者单位

    Yangtze Univ, Coll Earth Sci, Wuhan 430100, Hubei, Peoples R China;

    China Petrochem Explorat & Dev Res Inst, Beijing 100083, Peoples R China;

    Yangtze Univ, Coll Engn & Technol, Jingzhou 434020, Peoples R China;

    Univ Tulsa, Dept Geosci, Tulsa, OK 74104 USA;

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