| 基于相似结构的双孔合采油藏模型和求解 |
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| 引用本文： | 李全勇,李顺初,李伟,王俊超.基于相似结构的双孔合采油藏模型和求解[J].大学数学,2013,29(1):56-60. |
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| 作者姓名： | 李全勇 李顺初 李伟 王俊超 |
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| 作者单位： | 1. 西华大学应用数学研究所,四川成都,610039
2. 西南石油大学油气藏地质与开发工程国家重点实验室,四川成都,610500 |
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| 基金项目： | 国家科技重大专项项目，四川省教育厅自然科学重点项目，西华大学创新基金 |
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| 摘 要： | 针对双孔合采油藏,首次建立了考虑有效井径和井筒储集的变流率情形的试井分析数学模型;利用Laplace变换,在Laplace空间中得到了储层压力和井壁压力的精确解;发现在三种外边界条件下的解式之间具有统一的结构,此项研究给编制试井分析软件带来极大的便利,对油气藏渗流规律的理论研究也具有深远的意义.
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| 关 键 词： | 双孔合采油藏 有效井径 变流率 相似结构 核函数 |
Solution to Base on the Similar Structure of the Double Porosity-Multilayer Reservoir |
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| LI Quan-yong
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LI Shun-chu
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LI Wei
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WANG Jun-chao.Solution to Base on the Similar Structure of the Double Porosity-Multilayer Reservoir[J].College Mathematics,2013,29(1):56-60. |
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| Authors: | LI Quan-yong LI Shun-chu LI Wei WANG Jun-chao |
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| Institution: | 1.Institute of Applied Mathematics,Xihua University,Chengdu 610039,China;2.State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation,Southwest Petroleum University,Chengdu 610500,China) |
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| Abstract: | We first establish the double porosity-multilayer reservoir model and take the effective hole diameter and borehole storage conditions of variable flow rate into account;We obtian the exact solution of reservoir pressure and bottom hole pressure in the Laplace space by Laplace transform,It is found that among the solutions of three outer boundary conditions what have uniform structure,the result takes great convenience to preparate well test analysis software and have far-reaching significance in the percolation of oil and gas law theory. |
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| Keywords: | double porosity-multilayer reservoir effective hole diameter variable flow rate similitude structure kernel function |
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