| THE TRANSIENT ELLIPTIC FLOW OF POWER-LAW FLUID IN FRACTAL POROUS MEDIA |
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| 作者姓名： | 宋付权 刘慈群 |
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| 作者单位： | SONG Fu_quan，LIU Ci_qun (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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| 摘 要： | 1 ＴｈｅＦｌｏｗＭｏｄｅｌｏｆＰｏｗｅｒ＿ＬａｗＦｌｕｉｄｉｎＲａｄｉｃａｌＦｒａｃｔａｌＲｅｓｅｒｖｏｉｒＴｈｅｔｒａｎｓｉｅｎｔｆｌｏｗｏｆｐｏｗｅｒ＿ｌａｗｆｌｕｉｄｉｎｒａｄｉｃａｌｆｒａｃｔａｌｒｅｓｅｒｖｏｉｒｉｓｓｔｕｄｉｅｄｉｎＲｅｆ.1 ] ,ａｎｄａｎａｌｙｔｉｃａｌｓｏｌｕｔｉｏｎｏｆＬａｐｌａｃｅｓｐａｃｅｉｓｄｅｒｉｖｅｄ .ＩｎＲｅｆ.2 ] ,ｔｈｅｔｒａｎｓｉｅｎｔｅｌｌｉｐｔｉｃａｌｆｌｏｗｉｓｒｅｓｅａｒｃｈｅｄｏｎｍｏｄｅｌｏｆｅｘｐａｎｄｉｎｇｒｅｃｔａｎｇｌｅ .Ｔ…
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| 收稿时间： | 12 June 2001 |
The transient elliptic flow of power-law fluid in fractal porous media |
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| Song Fu-quan Associate Professor, Doctor,Liu Ci-qun.THE TRANSIENT ELLIPTIC FLOW OF POWER-LAW FLUID IN FRACTAL POROUS MEDIA[J].Applied Mathematics and Mechanics(English Edition),2002,23(8):875-880. |
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| Authors: | Song Fu-quan Associate Professor Doctor Liu Ci-qun |
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| Institution: | 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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