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用数值拉普拉斯逆变换方法分析泰斯问题

ANALYSIS OF CONSTANT DISCHARGING IN WELIS BY NUMERICAL INVERSION OF LAPLACE TRANSFORMS

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【作者】 殷积涛郑香媛

【Author】 Yin Jitao Zheng Xiangyuan(Center For Analysis And Prediction, SSB)

【机构】 国家地震局分析预报中心国家地震局分析预报中心

【摘要】 运用数值Laplace逆变换算法,分析了传统的定流量抽水问题。分别求出了考虑井孔半径及井孔贮存情况下的数值解,并与Theis解进行了对比。结果表明当井孔半径较大、含水层贮水系数较小、导水性较弱时,Theis公式不能确切地描述井孔及其邻近含水层中的降深。在井壁处的数值解还提供了一种利用抽水井降深资料求含水层参数的可能性。

【Abstract】 The traditional problem of constant discharging in wells is analysed by using a numerical inversion of Laplace transforms. Solutinns which take into consideration the well radius and well storage capacity are respectively solved numerically and are compared with Theis’ solution. The result indicates that Theis’ solution can not exactly describe, the drawdown in well or in aquifer surrounding the well when the well radius is large and coefficient of storage and transmssivity of aquifer are low. The solution at r-r_w provides a possibility for estimating the aquifer parameteis from drawdown in pumped well.

  • 【文献出处】 水文地质工程地质 ,Hydrogeology and Engineering Geology , 编辑部邮箱 ,1989年05期
  • 【被引频次】3
  • 【下载频次】232
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