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Traditional analysis of aquifer tests: Comparing apples to oranges?

机译：传统的含水层测试分析：将苹果与橘子进行比较？

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摘要

Traditional analysis of aquifer tests uses the observed drawdown at one well, induced by pumping at another well, for estimating the transmissivity (T) and storage coefficient (S) of an aquifer. The analysis relies on Theis' solution or Jacob's approximate solution, which assumes aquifer homogeneity. Aquifers are inherently heterogeneous at different scales. If the observation well is screened in a low-permeability zone while the pumping well is located in a high-permeability zone, the resulting situation contradicts the homogeneity assumption in the traditional analysis. As a result, what does the traditional interpretation of the aquifer test tell us? Using numerical experiments and a first-order correlation analysis, we investigate this question. Results of the investigation suggest that the effective T and S for an equivalent homogeneous aquifer of Gaussian random rand S fields vary with time as well as the principal directions of the effective T. The effective T and S converge to the geometric and arithmetic means, respectively, at large times. Analysis of the estimated T and S, using drawdown from a single observation well, shows that at early time both estimates vary with time. The estimated S stabilizes rapidly to the value dominated by the storage coefficient heterogeneity in between the pumping and the observation wells. At late time the estimated T approaches but does not equal the effective T. It represents an average value over the cone of depression but influenced by the location, size, and degree of heterogeneity as the cone of depression evolves.
机译：传统的含水层测试分析是通过在一口井观察到的水位下降来估算含水层的透射率（T）和储层系数（S），该​​下降是由另一口井的抽水引起的。该分析依赖于Theis解或Jacob近似解，假定含水层均匀。含水层天生具有不同尺度的异质性。如果将观察井筛查在低渗透率区域，而将抽油井筛查在高渗透率区域，则结果与传统分析中的均质性假设相矛盾。结果，含水层测试的传统解释告诉我们什么？使用数值实验和一阶相关分析，我们研究了这个问题。研究结果表明，等效高斯随机rand S场的均质含水层的有效T和S随时间以及有效T的主要方向而变化。有效T和S分别收敛于几何和算术平均值，在很多时候。使用来自单个观测井的水降估算的T和S分析表明，在早期，两个估算都随时间变化。估计的S迅速稳定到由抽油井和观测井之间的储层系数异质性决定的值。在较晚的时间，估计的T接近但不等于有效T。它代表整个凹陷锥的平均值，但随着凹陷锥的发展，它受位置，大小和异质性程度的影响。

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