| 考虑二次梯度影响的渗流模型的解析解 |
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| 引用本文： | 刘小华,王巧云. 考虑二次梯度影响的渗流模型的解析解[J]. 数学理论与应用, 2008, 28(3): 50-54 |
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| 作者姓名： | 刘小华 王巧云 |
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| 作者单位： | 西南石油大学,成都 610500 |
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| 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并模型的解析解，并给出了渐近表逸式。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。
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| 关 键 词： | 二次压力梯度 Laplace变换 留数方法 解析解 渐近表述式 |
Analytic Solution for Percolation Model Considering the Quadratic Pressure Gradient |
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| Liu Xiaohua Wang Qiaoyun. Analytic Solution for Percolation Model Considering the Quadratic Pressure Gradient[J]. Mathematical Theory and Applications, 2008, 28(3): 50-54 |
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| Authors: | Liu Xiaohua Wang Qiaoyun |
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| Affiliation: | Liu Xiaohua Wang Qiaoyun (Southwest Petroleum University, Chengdu,610500) |
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| Abstract: | According to the permeation fluid mechanics of oil reservo ir,residue method and special function theory,this thesis gets the analytic solu tion of infinite homogeneous reservoir well test model which takes the Wellbore Storage and quadratic pressure gradient into consideration.Moreover,the asympto tic expression is offered.The results can be applied for getting the analytic so lution of well test model for the infinite dual porosity reservoir,mult-layer r eservoir,compound reservoir,and have an applicable value in well test analysis. |
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| Keywords: | Quadratic pressure gradient Laplace transformation Resid ue method Analytic solution Asymptotic expression |
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