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首页> 外文期刊>Water resources research >Extending Theis' solution: Using transient pumping tests to estimate parameters of aquifer heterogeneity
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Extending Theis' solution: Using transient pumping tests to estimate parameters of aquifer heterogeneity

机译：扩展Theis解决方案：使用瞬态抽水测试来估算含水层非均质性参数

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摘要

A framework for interpreting transient pumping tests in heterogeneous transmissivity fields is developed to infer the overall geostatistical parameters of the medium without reconstructing the specific heterogeneous structure point wise. The methodology of Radial Coarse Graining is applied to deduce an effective radial description of multi-Gaussian transmissivity. It was used to derive an Effective Well Flow Solution for transient flow conditions including not only the storativity, but also the geometric mean, the variance, and the correlation length of log-transmissivity. This solution is shown to be appropriate to characterize the pumping test drawdown behavior in heterogeneous transmissivity fields making use of ensembles of simulated pumping tests with multiple combinations of statistical parameters. Based on the Effective Well Flow Solution, a method is developed for inferring heterogeneity parameters from transient pumping test drawdown data by inverse estimation. Thereby, the impact of statistical parameters on the drawdown is analyzed, allowing to determine the dependence of reliability of parameter estimates on location and number of measurements. It is shown, that the number of measurements can be reduced compared to steady state pumping tests. Finally, a sampling strategy for single aquifer analysis is developed, which allows to estimate the statistical parameters, in particular variance and correlation length for individual heterogeneous transmissivity fields making use of transient pumping test measurements at multiple locations.
机译：建立了一个用于解释非均质透射率场中的瞬态抽运试验的框架，以推断介质的整体地统计参数，而无需逐点重构特定的非均质结构。应用径向粗粒度的方法来推断多高斯透射率的有效径向描述。它用于导出瞬态流动条件的有效井流解，不仅包括储能率，而且还包括对数透射率的几何平均值，方差和相关长度。结果表明，该解决方案适用于利用模拟泵浦测试与统计参数的多种组合的集合来表征非均质透射率场中的泵浦测试下降行为。基于有效井流解决方案，开发了一种通过逆估计从瞬时抽水试验压降数据中推导非均质性参数的方法。因此，分析了统计参数对下降的影响，从而可以确定参数估计值的可靠性对测量的位置和次数的依赖性。结果表明，与稳态抽运测试相比，可以减少测量次数。最后，开发了一种用于单个含水层分析的采样策略，该策略可以利用多个位置的瞬态抽运测试测量来估计统计参数，尤其是各个非均质透射率场的方差和相关长度。

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