基于应力敏感的天然裂缝性页岩气藏双孔模型解的结构
发布时间：2019-03-27 14:35
【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.
[Abstract]:In view of natural fractured shale gas reservoir, the production problem of constant production under three kinds of outer boundary conditions (infinity, constant pressure, sealing) and internal boundary condition is studied. A well test analysis model for unstable percolation considering stress sensitivity and analytical adsorption is established. The linearized model is first linearized, then the exact solution of dimensionless reservoir pressure in Laplace space is obtained by perturbation method and Laplace transform. Finally, according to the similarity structure theory of the solution, the steps of solving the solution structure of the model are given, and the similarity kernel functions under three kinds of outer boundary conditions are defined, and the similarity structure between the exact solutions of the model under the three outer boundary conditions is found. This research not only provides convenience for compiling well test analysis software and improves calculation efficiency, but also has important significance for studying the theory of shale gas reservoir seepage flow, and also provides a new method for solving the seepage model of shale gas reservoir.
【作者单位】： 西华大学理学院应用数学研究所;北京东润科石油技术股份有限公司;
【基金】：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)
【分类号】：TE371
[Abstract]:In view of natural fractured shale gas reservoir, the production problem of constant production under three kinds of outer boundary conditions (infinity, constant pressure, sealing) and internal boundary condition is studied. A well test analysis model for unstable percolation considering stress sensitivity and analytical adsorption is established. The linearized model is first linearized, then the exact solution of dimensionless reservoir pressure in Laplace space is obtained by perturbation method and Laplace transform. Finally, according to the similarity structure theory of the solution, the steps of solving the solution structure of the model are given, and the similarity kernel functions under three kinds of outer boundary conditions are defined, and the similarity structure between the exact solutions of the model under the three outer boundary conditions is found. This research not only provides convenience for compiling well test analysis software and improves calculation efficiency, but also has important significance for studying the theory of shale gas reservoir seepage flow, and also provides a new method for solving the seepage model of shale gas reservoir.
【作者单位】： 西华大学理学院应用数学研究所;北京东润科石油技术股份有限公司;
【基金】：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)
【分类号】：TE371
【参考文献】
相关期刊论文 前10条
1 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年11期
2 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年08期
3 李顺初;;从相似结构到相似构造法的微分方程边值问题求解方法综述[J];西华大学学报(自然科学版);2015年02期
4 郭小哲;周长沙;;考虑应力敏感的页岩气藏压裂水平井渗流模型建立与分析[J];长江大学学报(自科版);2015年05期
5 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年06期
6 郑鹏社;李顺初;冷礼辉;桂东东;;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年04期
7 张志军;姜汉桥;余春玲;梁彬;;考虑启动压力梯度和应力敏感的页岩气产能影响因素分析[J];复杂油气藏;2014年02期
8 熊也;张烈辉;赵玉龙;刘启国;;应力敏感页岩气藏水力压裂直井试井分析[J];科学技术与工程;2014年16期
9 盛茂;李根生;黄中伟;田守]，
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