| 贝塞尔函数理论在现代不稳定试井中的应用 |
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| 引用本文： | 夏显庭. 贝塞尔函数理论在现代不稳定试井中的应用[J]. 中国石油大学学报(自然科学版), 1986, 0(3) |
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| 作者姓名： | 夏显庭 |
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| 作者单位： | 华东石油学院数学教研室 |
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| 摘 要： | 本文应用拉普拉斯交换方法,根据贝塞尔函数理论,对均匀微可压缩流体在均质地层中,考虑井筒存储及表皮因子影响的渗流问题,建立了数学模型的定解问题,给出了完整的数学推导,从而补充了Agarwal解析解的方法和内容,同时对早期、晚期压力动态公式的近似解也作了全面的分析推导。
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| 关 键 词： | 贝塞尔函数 试井 拉普拉斯交换 |
THE APPLICATIONS OF BESSEL'S FUNCTIONS IN THE MODERN WELL-TEST TO UNSTEADY LIQUID FLOW PROBLEMS |
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| Xia Xianting. THE APPLICATIONS OF BESSEL'S FUNCTIONS IN THE MODERN WELL-TEST TO UNSTEADY LIQUID FLOW PROBLEMS[J]. Journal of China University of Petroleum (Edition of Natural Sciences), 1986, 0(3) |
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| Authors: | Xia Xianting |
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| Affiliation: | Xia Xianting |
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| Abstract: | By means of the Laplace Transform Methods, this paper offers a complete mathematical treatment of the flow problems about the slightly compressible fluid in the homogeneous formation based on the theory of Bes-sel's functions. It is concerned with wellbore storage and skin effect. It is a complement of the Agarwal's analytic solutions.A complete analytical treatment of the approximating solutions of the early and later pressure performance equations is also given. This paper is an aid to understand the theory of modern well-test and creates the conditions for typical curve match of computer model. |
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| Keywords: | Bessel functions Well testing Laplace transform |
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