考虑二次梯度影响的渗流模型的解析解  

Analytic Solution for Percolation Model Considering the Quadratic Pressure Gradient

作　　者：刘小华[1] 王巧云[1] 

机构地区：[1]西南石油大学,成都610500

出　　处：《数学理论与应用》2008年第3期50-54,共5页Mathematical Theory and Applications

摘　　要：本文利用油藏渗流力学原理,结合留数方法和特殊函数理论,求出了考虑井储和二次压力梯度影响的无穷均质油藏试井模型的解析解,并给出了渐近表达式。该方法可用于求无穷双孔介质油藏、多层油藏、复合油藏等试井模型的解析解,对试井分析有理论应用价值。Solution for Percolation Model Considering the Quadratic Pressure Gradient Liu Xiaohua Wang Qiaoyun （Southwest Petroleum University, Chengdu,610500） Abstract According to the permeation fluid mechanics of oil reservoir, residue method and special function theory, this thesis gets the analytic solution of infinite homogeneous reservoir well test model which takes the Wellbore Storage and quadratic pressure gradient into consideration. Moreover, the asymptotic expression is offered.The results can be applied for getting the analytic solution of well test model for the infiinite dual porosity reservoir, multlayer reservoir, comapound reservoir, and have an applicable value in well test analysis.

关 键 词：二次压力梯度 LAPLACE变换 留数方法 解析解 渐近表述式 

分 类 号：O175.23[理学—数学]