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现代地质 ›› 2015, Vol. 29 ›› Issue (2): 279-284.

• 地下水与气候变化 • 上一篇    下一篇

时变补给条件下河渠间潜水的一维非稳定运动

夏强,许模,邓英尔,李晓   

  1. (成都理工大学 地质灾害防治与地质环境保护国家重点实验室,四川 成都 610059)
  • 出版日期:2015-04-21 发布日期:2015-06-09
  • 作者简介:夏强,男,博士,讲师,1982年出生,水文地质学专业,主要从事水文地质的教学与科研工作。 Email: xiaqiang2012@cdut.cn。
  • 基金资助:

    成都理工大学地质灾害防治与地质环境保护国家重点实验室2011年团队重点项目(SKLGP2011Z001)。

Water Table Fluctuation Between Two Parallel Ditches Induced by Time-varying Recharge

XIA Qiang, XU Mo, DENG Ying-er, LI Xiao   

  1. (State Key Laboratory of Geohazard Prevention and Geoenvironment Protection, Chengdu University of Technology, Chengdu, Sichuan 610059, China)
  • Online:2015-04-21 Published:2015-06-09

摘要:

针对河渠间潜水的一维非稳定运动,考虑了补给强度的时变性,根据Boussinesq方程的第一线性化方法,应用Duhamel原理得到了方程的解析解,进一步得出补给强度为指数函数和三角函数的潜水位计算公式。通过算例分析补给强度指数增加、指数衰减和正弦函数变化条件下潜水面的变化特征,指数增加条件下潜水位单调增加,分水岭从高水位一侧向河间地块中部移动;指数衰减条件下潜水位先增大,后减小,具有一个峰值,分水岭先从高水位一侧向河间地块中部移动,之后随补给强度减弱返回到高水位河渠;正弦函数变化条件下潜水位表现出周期性起伏变化,且水位对补给的响应具有明显的时滞性,分水岭在高水位河渠与河间地块中部之间往复移动。研究结果可为量化分析地下水系统对气候变化的响应以及地表水地下水转化规律等问题提供理论依据。

关键词: 潜水, 河间地块, 非稳定运动, 时变补给

Abstract:

Taking account of exponentially and periodically time-varying recharge, water table fluctuation between two parallel ditches was studied. The analytical solution was derived based on the first linearization method of Boussinesq equation, and Duhamel principle. This paper analyzed the characteristics of phreatic water movement by using three kinds of recharge rate functions including exponent-increase, exponent-decay, and sine function. In the first case, water table rises monotonously with the increasing recharge rate; and watershed between the two ditches moves from the higher level side towards the other sides, but will never cross the middle line of the aquifer. In the exponent-decay case, water table goes up at the beginning, then falls after reaching a peak value; watershed firstly moves towards the middle of the aquifer, then turns back to the higher level side due to the declining recharge rate. In the last case, water table periodically fluctuates corresponding to the sine function recharge; and there is a significant time lag between the stimulator and the respond; watershed sways back and forth between the higher level ditch and the middle of the aquifer. The results can be a clue to study the response of groundwater system to climate change, in addition to the transition rule between surface and ground water.

Key words: phreatic water, parallel ditch, unsteady flow, time-varying recharge

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