## 留言板

 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.
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.

• 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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##### 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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