承压含水层井流-盖层弯曲效应的解析理论

王旭升; 陈崇希; 焦赳赳

承压含水层井流-盖层弯曲效应的解析理论

1.
武汉大学水资源与水电工程国家重点实验室, 湖北武汉 430072
2.
中国地质大学环境地质研究所, 湖北武汉 430074
3.
香港大学地球科学系, 香港

详细信息

作者简介:
王旭升(1974-), 男, 博士后, 主要从事水文学与水资源计算和水文工程地质计算方面的研究.E-mail: wxsh@cug.edu.cn

中图分类号: P641.2
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出版历程
- 收稿日期: 2003-05-18
- 刊出日期: 2003-09-25

Theory on Coupling of Radial Flow in a Confined Aquifer and Bending of Confining Unit

1.
National Key Laboratory of Water Resources and Hydropower Engineering, Wuhan University, Wuhan 430072, China
2.
Institute of Environmental Geoscience, China University of Geosciences, Wuhan 430074, China
3.
Department of Earth Sciences, The University of Hong Kong, Hong Kong, China

摘要

摘要: 指出承压含水层盖层的弯曲变形与开采井周围的径向地下水运动存在相互作用, 而这一效应在传统的井流理论中没有被认识到.通过引入弹性薄板理论, 建立了无越流的承压含水层井流-顶板弯曲效应的解析模型, 同时考虑了含水层和水的压缩性, 结果表明Theis井流方程给出的抽水降深偏小.在此基础上推导了有越流承压含水层井流-盖层弯曲效应的偏微分方程, 求出了解析解, 并与传统理论的结果进行了对比, 表明Hantush-Jacob公式计算的降深也是偏小的.在抽水井附近和抽水初期, 传统理论可能导致显著的相对误差.
- 井流 /
- 弯曲 /
- 承压含水层 /
- 越流 /
- 解析解
Abstract: The non-steady radial flow surrounding a pumping well in a fully confined or leaky confined aquifer will induce the bending of confining unit, and then the radial flow patterns are affected by the bending effect through reducing of total stress.However, in conventional theory of groundwater flow, this interaction was omitted. In this study, the elastic plate theory was introduced to establish the analytical models of coupling of radial flow in a confined aquifer and bending of the confining unit, and meanwhile both of non-leaky and leaky conditions were considered as well as the compressibility of skeleton and water. It was indicated by the analytical solutions of the new theory that Theis equation underestimated the drawdown for fully confined aquifers. For leaky confined aquifers, the drawdown simulated by Hantush-Jacob equation was less than that evaluated by the new theory which considered the bending effect of confining unit. The relative errors would be remarkable in the beginning of pumping and/or near the pumping well.
- radial flow /
- bending /
- confined aquifer /
- leaky /
- analytical solution

HTML全文

图 1 无越流承压含水层-井孔模型概化图(箭头表示水流方向)

Fig. 1. Schematic for a fully confined aquifer-well system

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图 2 当r_D=0.1时, 无越流承压含水层单井定流量抽水的s_D-t_D曲线

Fig. 2. s_D-t_D curve for the fully confined aquifer-well systems while r_D=0.1

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图 3 越流承压含水层-井孔模型概化图(箭头为水流方向)

Fig. 3. Schematic for a leaky aquifer-well system

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图 4 当r_D=0.1, φ=0, r/B=0.5时, 一类越流承压含水层单井抽水的s_D-t_D曲线

Fig. 4. s_D-t_D curve for the leaky aquifer-well systems while r_D=0.1, φ=0 and r/B=0.5

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参考文献(12)

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