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Spatial Interpolation Methods for Nonstationary Plume Data

机译：非平稳羽状数据的空间插值方法

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摘要

Plume interpolation consists of estimating contaminant concentrations at unsampled locations using the available contaminant data surrounding those locations. The goal of ground water plume interpolation is to maximize the accuracy in estimating the spatial distribution of the contaminant plume given the data limitations associated with sparse monitoring networks with irregular geometries. Beyond data limitations, contaminant plume interpolation is a difficult task because contaminant concentration fields are highly heterogeneous, anisotropic, and nonstationary phenomena. This study provides a comprehensive performance analysis of six interpolation methods for scatter-point concentration data, ranging in complexity from intrinsic kriging based on intrinsic random function theory to a traditional implementation of inverse-distance weighting. High resolution simulation data of perchloroethylene (PCE) contamination in a highly heterogeneous alluvial aquifer were used to generate three test cases, which vary in the size and complexity of their contaminant plumes as well as the number of data available to support interpolation. Overall, the variability of PCE samples and preferential sampling controlled how well each of the interpolation schemes performed. Quantile kriging was the most robust of the interpolation methods, showing the least bias from both of these factors. This study provides guidance to practitioners balancing opposing theoretical perspectives, ease-of-implementation, and effectiveness when choosing a plume interpolation method.
机译：羽状插值包括使用周围那些位置的可用污染物数据估算未采样位置的污染物浓度。给定与稀疏监测网络（具有不规则几何形状）相关的数据限制，地下水羽流插值的目标是使估算污染羽流的空间分布的准确性最大化。除了数据限制之外，污染物羽流插值是一项艰巨的任务，因为污染物浓度场是高度异质，各向异性和非平稳的现象。这项研究对散射点浓度数据的六种插值方法进行了全面的性能分析，其复杂程度从基于固有随机函数理论的固有克里金法到反距离加权的传统实现方法不等。高度异质冲积含水层中全氯乙烯（PCE）污染的高分辨率模拟数据被用于生成三个测试案例，这些案例的污染物羽流的大小和复杂性以及可用于支持插值的数据数量各不相同。总体而言，PCE样本和优先样本的可变性控制着每种插值方案的执行效果。分位数克里金法是最强大的插值方法，显示了来自这两个因素的最小偏差。这项研究为从业人员在选择羽状插值方法时平衡相反的理论观点，易于实现和有效性提供了指导。

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