改进的Theis井流模型及其解析解——考虑含水层顶板的挠曲作用

王旭升; 陈崇希

改进的Theis井流模型及其解析解——考虑含水层顶板的挠曲作用

中国地质大学环境地质研究所, 湖北武汉 430074

详细信息

作者简介:
王旭升(1974-), 男, 水文学与水资源博士研究生.E-mail: wxsh@cug.edu.cn

中图分类号: P641.2
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- 被引次数: 0
出版历程
- 收稿日期: 2001-04-23
- 刊出日期: 2002-03-25

Analysis of Modified Theis Model on Well Flow: Considering Bending of the Confining Stratum

Institute of Environmental Geoscience, China University of Geosciences, Wuhan 430074, China

摘要

摘要: 传统承压含水层井流理论都假定承压含水层顶面总应力不变, 其隐含的意义是忽略含水层顶板的刚度, 从而忽略了顶板弯曲对含水层释水的影响.指出考虑顶板弯曲时, 抽水井周围承压含水层顶部的总应力将减小, 从而产生比传统理论估计更大的地下水降深, 并结合弹性板理论对Theis井流模型作出了改进, 新模型的解析解证明Theis模型计算的地下水水头降深偏低.
- 地下水 /
- 井流模型 /
- 挠曲
Abstract: Theis model is the basic classic theory of pumping groundwater flow in confined aquifers, which neglects the bending effects of confining stratum on the aquifer water releasing. A new model is introduced in this paper with the theory of elastic plates to modify Theis model. The analysis of the new model is proved that drawdown evaluated by Theis model is low, which also was shown in the pumping test.
- groundwater /
- Theis model /
- bending.

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图 1 承压含水层井流模型

图中箭头表示水的流向; ①承压含水层; ②承压含水层的隔水顶板; ③抽水井; ④承压含水层的隔水底板; ⑤含水层顶面; ⑥初始水头; ⑦抽水后的水头; ⑧地面; Q.抽水流量

Fig. 1. Conceptive of confined aquifer and well flow model

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图 2 改进的Theis井流模型的无因次降深曲线

Fig. 2. Dimensionless drawdown s_D against the dimensionless time t_D

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图 3 无因次径距r_D对s_D-t_D曲线的影响

Fig. 3. Effect of dimensionless distance r_D to s_D-t_D curves

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参考文献(8)

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