| 分形双孔介质油气藏的试井分析模型解 |
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| 引用本文： | 李顺初.分形双孔介质油气藏的试井分析模型解[J].勘探地球物理进展,2002,25(5):60-62. |
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| 作者姓名： | 李顺初 |
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| 作者单位： | 四川工业学院计算机科学与工程系,四川成都,610039 |
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| 摘 要： | 针对分形双孔介质储层模型，对于裂缝介质和岩块介质分别引进了反映分形体几何特征的分形维数及分形渗流网络连通状况的分形指数；建立了外边界无穷大且考虑井筒储存和表皮效应下的变流率问题的试井分析数学模型；对一类具有广泛应用的特例，求得了无因次储层压力和井底压力的Laplace空间解，归纳出了一个通用公式，并对其进一步应用进行了讨论,对油藏数值模拟具有指导意义。
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| 关 键 词： | 分形双孔介质储层 分形维数 分形指数 压力分布 变流率 Laplace空间解 |
| 收稿时间： | 2002-3-25 |
| 修稿时间： | 2002年3月25日 |
A solution of fractal dual porosity reservoir model in well testing analysis |
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| Li Shunchu.A solution of fractal dual porosity reservoir model in well testing analysis[J].Progress in Exploration Geophysics,2002,25(5):60-62. |
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| Authors: | Li Shunchu |
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| Affiliation: | (Dept. of Computer Science and Engineering, Sichuan University of Science and Technology, Chengdu 610039, China) |
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| Abstract: | In this paper, the features of fractured media and rock matrix in fractal dual porosity reservoir model are describes with fractal dimension (describing geometric features) and fractal index(depicting connectivity of a fractal fluid flow network). A mathematical model for well testing analysis, which takes wellbore storage and skin effects in consideration, is proposed for variable flow rate with infinite outer boundary. For a special case with wide utilization, a general Laplacian space solution formula of non-dimensional reservoir pressure and non-dimensional wellbore pressure is obtained. The simple formula is useful in designing well testing analysis program and relevant applications, and it also has instructive significance into numerical reservoir simulation. |
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| Keywords: | fractal dual porosity reservoir fractal dimension fractal index distribution of pressure variable flow rate Laplacian space solution |
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