| 井筒相再分布失发形油藏不稳定渗流有效井径数学模型的解析解 |
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| 引用本文： | 向开理,李允,李铁军. 井筒相再分布失发形油藏不稳定渗流有效井径数学模型的解析解[J]. 油气井测试, 2001, 10(3): 5-9 |
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| 作者姓名： | 向开理 李允 李铁军 |
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| 作者单位： | 西南石油学院 |
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| 基金项目： | 本文得到"油气藏地质及开发工程”国家重点实验室开发基金项目资助(PLNO115). |
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| 摘 要： | 将非线性的分形理论应用于渗流力学,在考虑井筒续流、表皮效应和井筒相再分布的影响下,建立了分形油藏不稳定渗流有效井径数学模型。。用拉普拉斯变换和反演方法求出了无限大地层模型和解析解及长、短时渐近解和有界地层模型的Laplace空间的解析解。分析了地层压力动态特征和参数的影响。
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| 关 键 词： | 分形油藏 不稳定渗流 数学模型 解析解 压力动态特征 井径 |
Analytical Solutions of the Effective Well Radius Mathenatical Model with Phase Redistributionabout Unstable Flow of Fluids Through Porous Media in Fractal Reservoir |
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| Xiang Kaili,Li Yun,Li Tiejun. Analytical Solutions of the Effective Well Radius Mathenatical Model with Phase Redistributionabout Unstable Flow of Fluids Through Porous Media in Fractal Reservoir[J]. Well Testing, 2001, 10(3): 5-9 |
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| Authors: | Xiang Kaili Li Yun Li Tiejun |
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| Affiliation: | Southuest Petroleum Institute |
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| Abstract: | In this paper,a effective well radius mathematical model have been suggested with the well bore afterflow,skin factor and phase redistribution about the unstable flow of fluids through porous media in the fractal reservoir.Nonlinear fractal geometric theory has been used in the dynamic of fluids through porous media in the model.Analytical solution and the longtime/short-time asymptotic solution of the mathematical model have been given by Laplace transforms and works out its pressure dynamic feature and parameters effect. |
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| Keywords: | fractal reservoir unsteady state percolation mathematical model analytical solution pressure dynamic feature |
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