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    Volume 28 Issue 5
    Sep.  2003
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    Article Contents
    WANG Xu-sheng, CHEN Chong-xi, Jiu Jimmy Jiao, 2003. Theory on Coupling of Radial Flow in a Confined Aquifer and Bending of Confining Unit. Earth Science, 28(5): 545-550.
    Citation: WANG Xu-sheng, CHEN Chong-xi, Jiu Jimmy Jiao, 2003. Theory on Coupling of Radial Flow in a Confined Aquifer and Bending of Confining Unit. Earth Science, 28(5): 545-550.

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

    • Received Date: 2003-05-18
    • Publish Date: 2003-09-25
    • 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.

       

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    • [1]
      Theis C V. The relation between the lowering of the piezometric surface and the rate and duration of discharge of a well using ground water storage[J]. Trans Ame Geophys, 1935, 16: 519-524. doi: 10.1029/TR016i002p00519
      [2]
      Hsieh P A. Deformation-induced changes in hydraulic head during ground-water withdrawal[J]. Ground Water, 1996, 35(6): 1082-1089.
      [3]
      Kim J M, Parizek R R. Numerical simulation of the Noord-bergum effect resulting from groundwater pumping in a layered aquifer system[J]. Journal of Hydrology, 1997, 202(1-4): 231-243. doi: 10.1016/S0022-1694(97)00067-X
      [4]
      Burbey T J. Modeling three-dimensional deformation in response to pumping of unconsolidated aquifers[J]. Environmental & Engineering Geosciences, 1999, 5(2): 199-212.
      [5]
      Burbey TJ. Stress-strain analyses for aquifer-system characterization[J]. Ground Water, 2001, 39(1): 128-136. doi: 10.1111/j.1745-6584.2001.tb00358.x
      [6]
      陈崇希, 吴修义. 边界附近地下水不稳定井流试验数据的分析法[A]. 综合治理和利用矿床大面积地下水经验汇编[C]. 北京: 煤炭工业出版社, 1979. 22-41.

      CHEN C X, WU X Y. Analytical methods for pumping tests near boundary[A]. Experiences of controlling and utilizing groundwater in large areas[C]. Beijing: Coal Industry Press, 1979. 22-41.
      [7]
      王旭升, 陈崇希. 改进的Theis井流模型及其解析解———虑含水层顶板的挠曲作用[J]. 地球科学———中国地质大学学报, 2002, 27(2): 199-202. https://www.cnki.com.cn/Article/CJFDTOTAL-DQKX200202018.htm

      WANG X S, CHEN C X. Analysis of modified Theis model on well flow: Considering bending of the confining stratum [J]. Earth Science—Journal of China University of Geosciences, 2002, 27(2): 199-202. https://www.cnki.com.cn/Article/CJFDTOTAL-DQKX200202018.htm
      [8]
      Bear J. Dynamics of fluids in porous media[M]. New York: Amer Elsevier Publishing Company, 1972.
      [9]
      Arthur P B, Omar M S. Advanced mechanics of materials [M]. New York: John Wiley & Sons Inc, 1985.
      [10]
      陈崇希. 地下水不稳定井流计算方法[M]. 北京: 地质出版社, 1983.

      CHEN C X. Analytical methods of transient groundwater flow toward wells[M]. Beijing: Geological Publishing House, 1983.
      [11]
      沈观林. 复合材料力学[M]. 北京: 清华大学出版社, 1996.

      SHEN G L. Mechanics of composite materials[M]. Beijing: Tsinghua University Press, 1996.
      [12]
      Hantush M S, Jacob C E. Non-steady radial flow in an infinite leaky aquifer[J]. Trans Amer Geophys, 1955, Union 36: 95-100.
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