| 用拉普拉斯变换差分法求解试井分析中的一维渗流问题 |
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| 引用本文： | 刘洪,王新海,张福祥,牛新年.用拉普拉斯变换差分法求解试井分析中的一维渗流问题[J].计算物理,2012,29(2):245-249. |
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| 作者姓名： | 刘洪 王新海 张福祥 牛新年 |
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| 作者单位： | 1. 长江大学油气资源与勘探技术教育部重点实验室,湖北荆州,434023
2. 塔里木油田分公司,新疆库尔勒,841000 |
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| 基金项目： | 国家油气重大专项(2011zx00513,2011zx05015)资助项目 |
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| 摘 要： | 结合拉普拉斯变换和有限差分法给出求解试井分析中一维渗流问题的拉普拉斯变换差分法:首先对渗流方程采用拉普拉斯变换消去时间变量得到拉普拉斯空间数学模型,采用有限差分法求解拉普拉斯空间数学模型,最后通过拉普拉斯反演算法得到井底压力或产量.通过与有限差分法结果和解析解对比,拉普拉斯变换差分法比有限差分法计算误差小.虽然单步计算耗时长,但计算任意时刻结果时对空间网格的适应性和不依赖其它时刻计算结果的特性使得拉普拉斯变换差分法在试井分析中有非常好的应用前景.
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| 关 键 词： | 拉普拉斯变换 有限差分法 试井 误差 |
Laplace Transform Finite Difference Method for Well-test Problem with One-dimensional Seepage Flow |
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| LIU Hong
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WANG Xinhai
,
ZHANG Fuxiang
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NIU Xinnian.Laplace Transform Finite Difference Method for Well-test Problem with One-dimensional Seepage Flow[J].Chinese Journal of Computational Physics,2012,29(2):245-249. |
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| Authors: | LIU Hong WANG Xinhai ZHANG Fuxiang NIU Xinnian |
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| Institution: | 1.Key Laboratory of Exploration Technologies for Oil and Gas Resources,Ministry of Education,Yangtze University, Jingzhou 434023,China;2.Tarim Oilfield Company,Kurle 841000,China) |
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| Abstract: | With finite difference method and Laplace transform,a Laplace transform difference method for well-test problem with one-dimensional seepage flow is proposed.Firstly,time variable is eliminated by Laplace transform.Then the mathematics model is solved with finite difference method.Finally the wellbore pressure or production is obtained with numerical inversion algorithm.A comparison with finite difference method solution and analytic solution shows that the calculating error of Laplace transform difference method is smaller than that of finite difference method,though it consumes more time in each step.Laplace transform difference method has advantages in well-test application since any moment simulation does not rely on other moment result and space grid. |
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| Keywords: | Laplace transform finite difference method well-test error |
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