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基于应力敏感的天然裂缝性页岩气藏双孔模型解的结构

李顺初 任丽 郑鹏社 桂钦民

李顺初, 任丽, 郑鹏社, 桂钦民. 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. doi: 10.21656/1000-0887.370190
引用本文: 李顺初, 任丽, 郑鹏社, 桂钦民. 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. doi: 10.21656/1000-0887.370190
LI Shun-chu1, REN Li1, ZHENG Peng-she1, GUI Qin-min2. 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. doi: 10.21656/1000-0887.370190
Citation: LI Shun-chu1, REN Li1, ZHENG Peng-she1, GUI Qin-min2. 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. doi: 10.21656/1000-0887.370190

基于应力敏感的天然裂缝性页岩气藏双孔模型解的结构

doi: 10.21656/1000-0887.370190
基金项目: 四川省科技厅2015年第一批科技计划项目(基本科研重点研发)(2015JY0245);四川省教育厅自然科学重点项目(12ZA164);四川省教育厅自然科学重点项目(15ZA0135)
详细信息
    作者简介:

    李顺初(1963—),男,教授(通讯作者. E-mail: lishunchu@163.com);任丽(1991—),女,硕士生(E-mail: 15208416930@163.com).

  • 中图分类号: O322

Similar Structure of the Solution to the Dual-Porosity Model for Naturally Fractured Shale Gas Reservoirs Based on Stress Sensitivity

  • 摘要: 针对天然裂缝性页岩气藏,研究了3种外边界条件(无穷大、定压、封闭)及内边界条件下的定产量生产问题,并建立了考虑应力敏感性和解析吸附的不稳定渗流的试井分析模型.先对此模型作线性化处理;然后通过摄动法以及利用Laplace变换,求得线性化后的无因次储层压力的Laplace空间精确解;最后根据解的相似结构理论,给出了求解该模型解结构的步骤,并且定义了3种外边界条件下的相似核函数,发现了此模型在3种外边界条件下精确解之间的相似结构.这项研究不仅为编制试井分析软件提供便利, 提高计算效率,而且对页岩气藏渗流理论的研究具有重要意义,也为页岩气藏渗流模型的求解提供了一种新的方法.
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    [2] 蔡华, 付随艺, 程时清. 裂缝性页岩气藏考虑应力敏感的产量递减模型构建[J]. 科技导报, 2013,31(24): 51-54.(CAI Hua, FU Sui-yi, CHEN Shi-qing. Production decline mode for fractured shale gas reservoirs with stress sensitivity[J]. Science & Technology Review,2013,31(24): 51-54.(in Chinese))
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    [6] 盛茂, 李根生, 黄中伟, 等. 页岩气藏流固耦合渗流模型及有限元求解[J]. 岩石力学与工程学报,2013,32(9): 1894-1900.(SHENG Mao, LI Gen-sheng, HUANG Zhong-wei, et al. Hydro-mechanical coupling model of shale gas reservoir and its finite element analysis[J].Chinese Journal of Rock Mechanics and Engineering,2013,32(9): 1894-1900.(in Chinese))
    [7] 白丽霞, 李顺初, 桂东冬. 复合型第二种Weber方程边值问题的新解法[J]. 中北大学学报(自然科学版), 2014,35(6): 633-637.(BAI Li-xia, LI Shun-chu, GUI Dong-dong. New method for solving the boundary value problem of the composite second Weber system[J]. Journal of North University of China(Natural Science Edition),2014,35(6): 633-637.(in Chinese))
    [8] 罗梅, 李顺初. 连带Legendre微分方程边值问题解的相似结构[J]. 重庆工商大学学报(自然科学版), 2015,32(11): 34-37.(LUO Mei, LI Shun-chu. Similar structure of the solution to boundary value problem of associated Legendre differential equation[J]. Journal of Chongqing Technology Business University(Natural Science Edition),2015,32(11): 34-37.(in Chinese))
    [9] 郑鹏社, 李顺初, 冷礼辉, 等. 一类非线性复合变型Bessel方程组边值问题的相似构造解法[J]. 信阳师范学院学报(自然科学版), 2014,27(4): 490-492, 504.(ZHENG Peng-she, LI Shun-chu, LENG Li-hui, et al. Similar construction method of boundary value problem of a nonlinear composite modified Bessel equations[J]. Journal of Xinyang Normal University(Natural Science Edition), 2014,27(4): 490-492, 504.(in Chinese))
    [10] 李顺初. 一类二阶偏微分方程的Laplace空间解的形式相似性[J]. 西华大学学报(自然科学版), 2007,26(4): 83-86.(LI Shun-chu. Formal similarity of solutions to the class of 2-order partial differential equation in the Laplace space[J]. Journal of Xihua University(Natural Science Edition), 2007,26(4): 83-86.(in Chinese))
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    [12] 王强, 李顺初, 胡明. 多层复合油藏渗流模型解的相似结构[J]. 重庆工商大学学报(自然科学版), 2015,32(8): 71-75, 92.(WANG Qiang, LI Shun-chu, HU Ming. Similar structure of seepage model solution for multilayer composite reservoir[J]. Journal of Chongqing Technology Business University(Natural Science Edition),2015,32(8): 71-75, 92.(in Chinese))
    [13] 李科, 李顺初, 董亚南. 基于相似结构的合采油藏试井分析模型的求解[J]. 油气井测试, 2013,22(2): 7-9.(LI Ke, LI Shun-chu, DONG Ya-nan. The solution of well test analysis model based on similar structure in the multilayer reservoir[J]. Well Testing(Youqijing Ceshi),2013,22(2): 7-9.(in Chinese))
    [14] 段永刚, 魏明强, 李建秋, 等. 页岩气藏渗流机理及压裂井产能评价[J]. 重庆大学学报, 2011,34(4): 62-66.(DUAN Yong-gang, WEI Ming-qiang, LI Jian-qiu, et al. Shale gas seepage mechanism and fractured wells’ production evaluation[J]. Journal of Chongqing University, 2011,34(4): 62-66.(in Chinese))
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出版历程
  • 收稿日期:  2016-06-15
  • 修回日期:  2016-07-06
  • 刊出日期:  2017-02-15

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