| 双重介质分形油藏渗流问题 |
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| 引用本文： | 同登科,张鸿庆.双重介质分形油藏渗流问题[J].应用数学和力学,2001,22(10):1009-1016. |
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| 作者姓名： | 同登科 张鸿庆 |
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| 作者单位： | 1. 石油大学华东应用数学系
2. 大连理工大学数学科学研究所 |
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| 基金项目： | 高等学校骨干教师资助计划资助项目 |
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| 摘 要： | 将油井有效半径引入双重介质分形油藏渗流问题的内边界之中，从而建立了双重介质分形油藏的一种渗流模型，并在考虑了井筒储集和表皮效应的情况求得了外边界为无限大、有界封闭和有界定压三种情况下双重介质分形油藏压力分布的精确解析表达式，利用拉氏数值反演Stehfest方法分析了双重介质分形油藏压力动态特征，讨论了各种参数对压力动态的影响。
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| 关 键 词： | 分形 双重介质 试井分析 油藏渗流 压力分布 解析表达式 Stehfest方法 |
| 文章编号： | 10000887(2001)10100908 |
| 修稿时间： | 2000年6月5日 |
The Flow Problem of Fluids Flow in a Fractal Reservoir With Double Porosity |
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| TONG Deng_ke ,Zhang Hong_qing.The Flow Problem of Fluids Flow in a Fractal Reservoir With Double Porosity[J].Applied Mathematics and Mechanics,2001,22(10):1009-1016. |
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| Authors: | TONG Deng_ke Zhang Hong_qing |
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| Institution: | TONG Deng_ke 1,Zhang Hong_qing 2 |
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| Abstract: | The effective radius of oil well is introduced in the inner boundary in the problem of fluids flow through fractal reservoir with double porosity, and thus a new model is established. Taking the wellbore storage and steady_state skin effect into consideration, the exact solutions of the pressure distribution of fluids flow in fractal reservoirs with double porosity are given for the cases of an infinite outer boundary, a finite closed outer boundary and a bounded domain with the constant pressure outer boundary conditions. The pressure behavior of fractal reservoir with double porosity is analyzed by using a numerical inversion of the Laplace transform solution. The pressure responses of changing various parameters are discussed. |
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| Keywords: | fractal double porous media seepage well test analysis |
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