| 幂律流体在分形介质中不定常椭圆渗流 |
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| 引用本文： | 宋付权,刘慈群. 幂律流体在分形介质中不定常椭圆渗流[J]. 应用数学和力学, 2002, 23(8): 778-782 |
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| 作者姓名： | 宋付权 刘慈群 |
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| 作者单位： | 1.上海大学, 上海市应用数学和力学研究所, 上海, 200072; |
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| 摘 要： | 以椭圆渗流模型为基础,得到了分形油藏中,垂直裂缝井的幂律型非牛顿流体的定常渗流的压力分布公式和产量公式;并用数值差分的方法研究了分形油藏中,垂直裂缝井的不定常渗流,分析了分形参数对不定常压力的影响;同时从平均质量守恒方程出发,得到了相应的不定常渗流的近似解析解。分析表明:用椭圆渗流模型研究垂直裂缝井的渗流,大大简化了渗流问题的复杂性。
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| 关 键 词： | 垂直裂缝井 不定常渗流 分形介质 幂律流体 |
| 文章编号： | 1000-0887(2002)08-0778-05 |
| 收稿时间： | 2001-06-12 |
| 修稿时间： | 2001-06-12 |
The Transient Elliptic Flow of Power-Law Fluid in Fractal Porous Media |
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| SONG Fu_quan ,LIU Ci_qun. The Transient Elliptic Flow of Power-Law Fluid in Fractal Porous Media[J]. Applied Mathematics and Mechanics, 2002, 23(8): 778-782 |
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| Authors: | SONG Fu_quan LIU Ci_qun |
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| Affiliation: | 1.Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P.R.China;2.Institute of Porous Flow and Fluid Mechanics, Academia Sinica, Langfang, Hebei 065007, P.R.China |
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| Abstract: | The steady oil production and pressure distribution formulae of vertically fractured well for power_law non_Newtonian fluid were derived on the basis of the elliptic flow model in fractal reservoirs. The corresponding transient flow in fractal reservoirs was studied by numerical differentiation method: the influence of fractal index to transient pressure of vertically fractured well was analyzed. Finally the approximate analytical solution of transient flow was given by average mass conservation law. The study shows that using elliptic flow method to analyze the flow of vertically fractured well is a simple method. |
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| Keywords: | fractal media vertically fractured well transient flow power_law fluid |
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