Analytic Expressions of Hydraulic Conductivity Intervals for Steady Flow to the Single Pumping Well in Unconfined Aquifer

IF 1.3 4区 工程技术 Q3 ENGINEERING, GEOLOGICAL Quarterly Journal of Engineering Geology and Hydrogeology Pub Date : 2023-02-10 DOI:10.1144/qjegh2022-086
Guiming Dong, Jianing Li, Wenjie Chen, Juan Tian, Yanhui Wang
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Abstract

Results of pumping test are normally uncertain due to insufficient exploration capability and complex hydrogeological conditions, which poses a question as to how to calculate the range of hydraulic conductivity, if the factors affecting the hydraulic conductivity fluctuate within a range. In this paper, the parameters affecting the hydraulic conductivity were regarded as a range, which is called intervals. From this perspective, three analytical expressions which could quickly calculate the intervals of hydraulic conductivity specifically for unconfined aquifer with single well were derived through Dupuit-Forchheimer formula from three universal expressions. The relative errors of the three expressions were analyzed by comparing them with that of equal interval continuous sampling method (EICSM). The results indicated that on the premise that the absolute value of the relative error of the hydraulic conductivity extremum was controlled within 10%, the maximums and minimums should be calculated by Expression 2 (convex model formula) and Expression 3 (Taylor expansion formula) respectively. They were considered as better choices because the allowable change rate could reach 20% and 10%. At the end of the research, an actual pumping test was introduced to verify the above deduction.
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无承压含水层单抽井稳流导水系数区间解析表达式
由于勘探能力不足和水文地质条件复杂,抽水试验的结果通常是不确定的,这就提出了一个问题,即如果影响导水率的因素在一个范围内波动,如何计算导水率范围。本文将影响导水率的参数视为一个范围,称为区间。从这个角度出发,利用Dupuit-Forchheimer公式,从三个通用表达式中导出了三个可以快速计算单井无侧限含水层导水率区间的解析表达式。通过与等间隔连续采样法(EICSM)的比较,分析了三种表达式的相对误差。结果表明,在导水率极值相对误差绝对值控制在10%以内的前提下,应分别用表达式2(凸模型公式)和表达式3(泰勒展开公式)计算导水率的最大值和最小值。它们被认为是更好的选择,因为允许的变化率可以达到20%和10%。在研究的最后,介绍了一个实际的抽水试验来验证上述推导。
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来源期刊
CiteScore
3.40
自引率
14.30%
发文量
66
审稿时长
6 months
期刊介绍: Quarterly Journal of Engineering Geology and Hydrogeology is owned by the Geological Society of London and published by the Geological Society Publishing House. Quarterly Journal of Engineering Geology & Hydrogeology (QJEGH) is an established peer reviewed international journal featuring papers on geology as applied to civil engineering mining practice and water resources. Papers are invited from, and about, all areas of the world on engineering geology and hydrogeology topics. This includes but is not limited to: applied geophysics, engineering geomorphology, environmental geology, hydrogeology, groundwater quality, ground source heat, contaminated land, waste management, land use planning, geotechnics, rock mechanics, geomaterials and geological hazards. The journal publishes the prestigious Glossop and Ineson lectures, research papers, case studies, review articles, technical notes, photographic features, thematic sets, discussion papers, editorial opinion and book reviews.
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