LIU Qiguo, XU Youjie, LIU Yicheng, QI Shengzhi. A New Well Test Analysis Method for Multi-Stage Fractured Horizontal Wells With Angle Faults[J]. Applied Mathematics and Mechanics, 2018, 39(5): 558-567. doi: 10.21656/1000-0887.380297
Citation: LIU Qiguo, XU Youjie, LIU Yicheng, QI Shengzhi. A New Well Test Analysis Method for Multi-Stage Fractured Horizontal Wells With Angle Faults[J]. Applied Mathematics and Mechanics, 2018, 39(5): 558-567. doi: 10.21656/1000-0887.380297

A New Well Test Analysis Method for Multi-Stage Fractured Horizontal Wells With Angle Faults

doi: 10.21656/1000-0887.380297
Funds:  The National Science and Technology Major Project of China(2017ZX05009-004;2016ZX05015-003)
  • Received Date: 2017-11-27
  • Rev Recd Date: 2018-01-15
  • Publish Date: 2018-05-15
  • Closed faults exist in some regions of eastern China, and they have great influence on the pressure characteristics of oil wells. Based on the basic principles of seepage mechanics, firstly, the bottom pressure solution of infinite-conductivity vertical fractured wells in the Laplace space was obtained by means of the basic theory of point source function and the Laplace integral transform. Combined with the conductivity function, the pressure solution of finite-conductivity vertical fractured wells was obtained. Secondly, the solution of multi-stage fractured horizontal wells with different angle faults was obtained with the mirror reflection principle and the pressure drop superposition principle. The pressure solution in the real space was given through the Stehfest numerical inversion, and the typical pressure as well as the pressure-derivative log-log curves were drawn. The results show that, the typical characteristic curve is divided into 8 flow stages, the pressure derivative is a horizontal line of a 0.5×360°/θ in the phase of fault reflection, and the smaller the vertical distance from the horizontal well center to the fault is, because the pressure-derivative curve characteristics of the radial flow are covered by the boundary reflection characteristic curve, the earlier the fault reflection time will be. Moreover, the larger the spacing between adjacent fractures is, the more obvious the early mirror flow characteristic curve will be; the larger the fracture number is, the lower the early pressure and pressure-derivative curve will be; and the larger the bilinear flow stage pressure derivative curve is, the lower conductivity will be. The accurate evaluation of reservoirs with closed fault boundaries and the reliable calculation of relevant parameters can be made through the proposed model.
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  • [1]
    王睿, 董范, 孟召平, 等. 樊庄区块构造对煤层气井产能的控制机理[J]. 中国矿业大学学报, 2014,43(6): 1025-1030.(WANG Rui, DONG Fan, MENG Zhaoping, et al. The controlling mechanism of geological structures on the production of coal bed methane wells in Fanzhuang block[J]. Journal of China University of Mining & Technology,2014,43(6): 1025-1030.(in Chinese))
    [2]
    史长林, 纪友亮, 陈斌, 等. 复杂断块油田断层封闭性判别: 以大港油田X断块为例[J]. 天然气地球科学, 2009,20(1): 143-147.(SHI Changlin, JI Youliang, CHEN Bin, et al. Diagnostic method of fault sealing in complex block faulted oil field: a case from X block, Dagang oilfield[J]. Natural Gas Geoscience,2009,20(1): 143-147.(in Chinese))
    [3]
    赵卫蕊, 王杰祥, 王庆, 等. 压裂井油层参数对增产效果的影响分析及应用[J]. 断块油气田, 2007,14(4):63-65.(ZHAO Weirui, WANG Jiexiang, WANG Qing, et al. Influence analysis and application of reservoir parameters from fracturing well on incremental result[J]. Fault-Block Oil & Gas Field,2007,14(4): 63-65.(in Chinese))
    [4]
    OZKAN E, RAGHAVAN R. New solutions for well-test-analysis problems, part 1: analytical considerations (includes associated papers 28666 and 29213)[J]. Society of Petroleum Engineers Formation Evaluation,1991,6(3): 359-368.
    [5]
    OZKAN E, RAGHAVAN R. New solutions for well-test-analysis problems, part 2: computational considerations and applications (includes associated papers 18615)[J]. Society of Petroleum Engineers Formation Evaluation,1991,6(3): 369-378.
    [6]
    HEBER CINCO L, SAMANIEGO V F, DOMINGUEZ A N. Transient pressure behavior for a well with a finite-conductivity vertical fracture[J]. Society of Petroleum Engineers Journal,1978,18(4): 253-264.
    [7]
    RILEY M F, BRIGHAM W E, HORNE R N. Analytic solutions for elliptical finite-conductivity fractures[J]. Society of Petroleum Engineers Journal,1991: 35-48. DOI: 10.2118/22656-MS.
    [8]
    王晓冬, 穆立婷. 两任意夹角断层的井壁压力计算方法[J]. 油气井测试,1997,6(2): 10-12.(WANG Xiaodong, MU Liting. Algorithms for pressure transient analysis in the presence of two intercept faults with an arbitrary angle[J].Well Testing,1997,6(2): 10-12.(in Chinese))
    [9]
    雷刚, 董平川, 饶培玉, 等. 各向异性断块油藏油井压力特征分析[J]. 西南石油大学学报(自然科学版), 2015,37(2): 125-130.(LEI Gang, DONG Pingchuan, RAO Peiyu, et al. Analysis of Pressure characteristics of oil well in anisotropic fault-block oil reservoirs[J].Journal of Southwest Petroleum University (Science & Technology Edition),2015,37(2): 125-130.(in Chinese))
    [10]
    冯纪成, 周丽莎, 曹脊翔. 断层附近一口无限导流垂直裂缝压裂井试井典型曲线研究[J]. 钻采工艺, 2013,36(3): 42-44.(FENG Jicheng, ZHOU Lisha, CAO Jixiang. Transient pressure analysis of an infinite-conductive vertical fractured well near a fault[J]. Drilling & Production Technology,2013,36(3): 42-44.(in Chinese))
    [11]
    宋付权, 刘慈群. 单一直线边界油藏中水平井渗流压力动态分析[J]. 石油勘探与开发, 1997,24(4): 47-50.(SONG Fuquan, LIU Ciqun. The transient Pressure analysis of a horizontal well in an unlimited reservoir with a linear boundary[J]. Petroleum Exploration and Development,1997,〖STHZ〗 24(4): 47-50.(in Chinese))
    [12]
    樊冬艳, 姚军, 孙海, 等. 页岩气藏分段压裂水平井不稳定渗流模型[J]. 中国石油大学学报(自然科学版), 2014,38(5): 116-123.(FAN Dongyan, YAO Jun, SUN Hai, et al. Transient flow model of stage-fractured horizontal wells in shale gas reservoirs[J]. Journal of China University of Petroleum (Edition of Natural Science),2014,38(5): 116-123.(in Chinese))
    [13]
    刘晓旭, 杨学锋, 陈远林, 等. 页岩气分段压裂水平井渗流机理及试井分析[J]. 天然气工业, 2013,33(12): 77-81.(LIU Xiaoxu, YANG Xuelin, CHEN Yuanlin, et al. Seepage behavior and well testing in horizontal shale gas wells under multi-stage fracking[J]. Natural Gas Industry,2013,33(12): 77-81.(in Chinese))
    [14]
    尹洪军, 李兴科, 赵二猛, 等. 体积压裂水平井不稳定试井解释研究[J]. 特种油气藏, 2017,24(5): 85-90.(YIN Hongjun, LI Xingke, ZHAO Ermeng, et al. Interpretation of transient well test data in horizontal wells with volumetric fracturing[J]. Special Oil & Gas Reservoirs,2017,24(5): 85-90.(in Chinese))
    [15]
    赵超, 肖洁, 许正栋, 等. 多段压裂水平井压力动态特征分析[J]. 断块油气田, 2015,22(6): 798-802.(ZHAO Chao, XIAO jie, XU Zhengdong, et al. Dynamical pressure characteristics of multi-stage fractured horizontal well[J]. Fault-Block Oil & Gas Field,2015,22(6): 798-802.(in Chinese))
    [16]
    段永刚, 杨宇, 陈伟, 等. 压裂水平井多裂缝系统不稳定压力动态特征[J]. 辽宁工程技术大学学报(自然科版), 2009,28(S1): 44-46.(DUAN Yonggang, YANG Yu, CHEN Wei, et al. Pressure behavioral characteristics of multi-fractures system of horizontal well of post-fracturing in gas reservoir[J]. Journal of Liaoning Technical University(Natural Science),2009,28(S1): 44-46.(in Chinese))
    [17]
    王本成, 贾永禄, 李友全, 等. 多段压裂水平井试井模型求解新方法[J]. 石油学报, 2013,34(6): 1150-1156.(WANG Bencheng, JIA Yonglu, LI Youquan, et al. A new solution of well test model for multistage fractured horizontal wells[J]. Acta Petrolel Sinica,2013,34(6): 1150-1156.(in Chinese))
    [18]
    李顺初, 任丽, 郑鹏社, 等. 基于应力敏感的天然裂缝性页岩气藏双孔模型解的结构[J]. 应用数学和力学, 2017,38(2): 233-242 (LI Shunchu, REN Li, ZHENG Pengshe, et al. Similar structure of the solution to the dual-porosity model for naturally fractured shale gas reservoirs based on stress sensitivity[J]. Applied Mathematics and Mechanics,2017,38(2): 233-242.(in Chinese))
    [19]
    王晓冬, 罗万静, 侯晓春, 等. 矩形油藏多段压裂水平井不稳态压力分析[J]. 石油勘探与开发, 2014,41(1): 74-94.(WANG Xiaodong, LUO Wanjing, HOU Xiaochun, et al. Transient pressure analysis of multiple-fractured horizontal wells in boxed reservoirs[J]. Petroleum Exploration and Development,2014,41(1): 74-94.(in Chinese))
    [20]
    STEHFEST H. Algorithm 368: numerical inversion of Laplace transforms[J].Communication of the ACM,1970,13(1): 47-49
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