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Analytical Solutions of Travel Time to a Pumping Well with Variable Evapotranspiration

机译：蒸发蒸腾量变化的抽水井移动时间的解析解

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摘要

Analytical solutions of groundwater travel time to a pumping well in an unconfined aquifer have been developed in previous studies, however, the change in evapotranspiration was not considered. Here, we develop a mathematical model of unconfined flow toward a discharge well with redistribution of groundwater evapotranspiration for travel time analysis. Dependency of groundwater evapotranspiration on the depth to water table is described using a linear formula with an extinction depth. Analytical solutions of groundwater level and travel time are obtained. For a typical hypothetical example, these solutions perfectly agree with the numerical simulation results based on MODFLOW and MODPATH. As indicated in a dimensionless framework, a lumped parameter which is proportional to the pumping rate controls the distributions of groundwater evapotranspiration rate and the travel time along the radial direction.
机译：在先前的研究中已经开发出了地下水在无侧限含水层中抽水井的解析方法，但是，没有考虑蒸散量的变化。在这里，我们建立了一个无约束流向排水井的数学模型，并重新分配了地下水的蒸散量，以用于行进时间分析。使用具有消光深度的线性公式描述了地下水蒸散量对地下水位的依赖性。获得了地下水位和传播时间的解析解。对于一个典型的假设示例，这些解决方案与基于MODFLOW和MODPATH的数值模拟结果完全吻合。如无量纲框架所示，与抽水速度成比例的集总参数控制着地下水蒸散量的分布和沿径向的传播时间。

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  • 来源
    《Ground water》 |2014年第3期|466-473|共8页
  • 作者

    Tian-Fei Chen; Xu-Sheng Wang; Li Wan; Hailong Li;

  • 作者单位

    Ministry of Education Key Laboratory of Groundwater Circulation and Evolution, China University of Geosciences, Beijing 100083, China;

    Ministry of Education Key Laboratory of Groundwater Circulation and Evolution, China University of Geosciences, Beijing 100083, China;

    Ministry of Education Key Laboratory of Groundwater Circulation and Evolution, China University of Geosciences, Beijing 100083, China;

    Ministry of Education Key Laboratory of Groundwater Circulation and Evolution, China University of Geosciences, Beijing 100083, China;

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