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Age-Ranked Storage-Discharge Relations: A Unified Description of Spatially Lumped Flow and Water Age in Hydrologic Systems

机译:年龄排序的排灌关系:水文系统中空间集总流量和水年龄的统一描述

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摘要

A storage-discharge relation tells us how discharge will change when new water enters a hydrologic system but not which water is released. Does an incremental increase in discharge come from faster turnover of older water already in storage? Or are the recent inputs rapidly delivered to the outlet, "short-circuiting" the bulk of the system? Here I demonstrate that the concepts of storage-discharge relationships and transit time distributions can be unified into a single relationship that can usefully address these questions: the age-ranked storage-discharge relation. This relationship captures how changes in total discharge arise from changes in the turnover rate of younger and older water in storage and provides a window into both the celerity and velocity of water in a catchment. This leads naturally to a distinction between cases where an increase in total discharge is accompanied by an increase (old water acceleration), no change (old water steadiness), or a decrease in the rate of discharge of older water in storage (old water suppression). The simple theoretical case of a power law age-ranked storage-discharge relations is explored to illustrate these cases. Example applications to data suggest that the apparent presence of old water acceleration or suppression is sensitive to the functional form chosen to fit to the data, making it difficult to draw decisive conclusions. This suggests new methods are needed that do not require a functional form to be chosen and provide age-dependent uncertainty bounds.
机译:储水排放关系告诉我们,当新水进入水文系统时,排放将如何变化,但没有水释放。排放量的增加是否源于已经存储的较旧水的更快周转?还是最近的输入会迅速传递到出口,从而使整个系统“短路”?在这里,我演示了储放关系和运输时间分布的概念可以统一为一个可以有效解决以下问题的单一关系:按年龄排序的储放关系。这种关系捕获了总蓄水量的变化是如何由储存的年轻和旧水的周转率的变化引起的,并提供了一个流域内水的速度和速度的窗口。这自然会导致总排放量增加而增加(旧水加速),不变(旧水稳定)或旧水储存速率降低(旧水抑制)的情况之间的区别。 )。探索了幂律按年龄排序的储-放电关系的简单理论案例,以说明这些情况。数据的示例应用表明,旧水加速或抑制的明显存在对选择适合数据的功能形式很敏感,因此很难得出决定性的结论。这表明需要新的方法,这些方法不需要选择功能形式并提供与年龄相关的不确定性范围。

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  • 来源
    《Water resources research》 |2019年第8期|7143-7165|共23页
  • 作者

    Harman C. J.;

  • 作者单位

    Johns Hopkins Univ Dept Environm Hlth & Engn Baltimore MD 21218 USA|Johns Hopkins Univ Dept Earth & Planetary Sci Baltimore MD 21218 USA;

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  • 正文语种 eng
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