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Uncertainty in NAPL volume estimates due to random measurement errors during partitioning tracer tests

机译:分区示踪剂测试期间由于随机测量误差而导致NAPL体积估算值的不确定性

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The uncertainty in NAPL volume estimates obtained through partitioning tracers can be quantified as a function of random errors in volume and concentration measurements when moments are calculated from experimentally measured breakthrough curves using the trapezoidal rule for numerical integration. The methodology is based upon standard stochastic methods for random error propagation. Monte Carlo simulations using a synthetic data set derived from the one-dimensional solution of the advective-dispersive equation serve to verify the process. It is shown that the uncertainty in NAPL volume predictions nonlinearly increases as the retardation factor decreases. An important result of this observation is that there is a large degree of uncertainty in using partitioning tracers to conclude NAPL is absent from the swept zone. Under the conditions investigated, random errors in concentration measurements are shown to have a greater impact on NAPL volume uncertainty than random errors in volume measurements, and it is also shown that uncertainty in NAPL volume decreases as the resolution of the breakthrough curves increases. The impact of uncertainty in background retardation (i.e., sorption of partitioning tracers in the absence of NAPL) was also investigated, and it likewise indicated that the relative uncertainty in NAPL volume estimates increases as the retardation factor decreases.
机译:当使用梯形法则通过数值积分从实验测量的突破曲线计算出弯矩时,通过分区示踪剂获得的NAPL体积估算值的不确定性可以量化为体积和浓度测量中随机误差的函数。该方法基于随机误差传播的标准随机方法。使用从对流扩散方程的一维解导出的合成数据集进行的蒙特卡洛模拟用于验证该过程。结果表明,随着延迟因子的减小,NAPL体积预测的不确定性非线性增加。该观察结果的重要结果是,使用划分示踪剂得出扫掠区没有NAPL的结论存在很大的不确定性。在调查的条件下,浓度测量中的随机误差显示出对NAPL体积不确定性的影响比体积测量中的随机误差更大,并且还显示出,随着突破曲线的分辨率提高,NAPL体积中的不确定性减小。还研究了背景延迟不确定性(即在不存在NAPL的情况下吸附示踪剂的吸附)的影响,同样表明随着延迟因子的降低,NAPL体积估算值的相对不确定性增加。

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