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Error in hydraulic head and gradient time-series measurements: a quantitative appraisal

机译:液压头和梯度时间序列测量中的误差:定量评估

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Hydraulic head and gradient measurements underpin practically all investigations in hydrogeology. There is sufficient information in the literature to suggest that head measurement errors can impede the reliable detection of flow directions and significantly increase the uncertainty of groundwater flow rate calculations. Yet educational textbooks contain limited content regarding measurement techniques, and studies rarely report on measurement errors. The objective of our study is to review currently accepted standard operating procedures in hydrological research and to determine the smallest head gradients that can be resolved. To this aim, we first systematically investigate the systematic and random measurement errors involved in collecting time-series information on hydraulic head at a given location: (1)?geospatial position, (2)?point of head, (3)?depth to water, and (4) water level time series. Then, by propagating the random errors, we find that with current standard practice, horizontal head gradients 10-4 are resolvable at distances ?170 m. Further, it takes extraordinary effort to measure hydraulic head gradients 10-3 over distances 10 m. In reality, accuracy will be worse than our theoretical estimates because of the many possible systematic errors. Regional flow on a scale of kilometres or more can be inferred with current best-practice methods, but processes such as vertical flow within an aquifer cannot be determined until more accurate and precise measurement methods are developed. Finally, we offer a concise set of recommendations for water level, hydraulic head and gradient time-series measurements. We anticipate that our work contributes to progressing the quality of head time-series data in the hydrogeological sciences and provides a starting point for the development of universal measurement protocols for water level data collection.
机译:液压头和梯度测量实际上是水文地质中的所有调查。文献中有足够的信息来表明头部测量误差可以妨碍流动方向的可靠性检测,并显着提高地下水流量计算的不确定性。然而,教育教科书包含有关测量技术的有限内容,并且研究很少报告测量误差。我们研究的目的是审查目前在水文研究中接受的标准操作程序,并确定可以解决的最小头梯度。为此目的,我们首先系统地研究了在给定位置收集时间序列信息的系统和随机测量误差:(1)?地理空间位置,(2)?头部的点,(3)?深度水,(4)水位时间序列。然后,通过传播随机误差,我们发现具有当前标准练习的情况下,水平头梯度<10-4可在距离下解析?170米。此外,在距离<10米上测量液压头梯度<10-3,需要非常努力。实际上,由于许多可能的系统错误,准确性将比我们的理论估计差。可以使用当前的最佳实践方法推断为公里或更高规模的区域流程,但在开发更准确和精确的测量方法之前,无法确定含水层内的垂直流程等过程。最后,我们为水位,液压头和梯度时间序列测量提供了一套简洁的建议。我们预计我们的工作有助于进展水文层中的头部时间序列数据的质量,并为水位数据收集提供通用测量协议的开发。

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