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Spatial interpolation methods for nonstationary plume data.

Patrick M Reed1, Timothy R Ellsworth, Barbara S Minsker

  • 1Department of Civil and Environmental Engineering, The Pennsylvania State University, 215B Sackett Building, University Park, PA 16802, USA. preed@engr.psu.edu

Ground Water
|March 24, 2004
PubMed
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Quantile kriging is the most reliable method for interpolating groundwater contaminant plumes, outperforming other techniques by minimizing bias from sample variability and preferential sampling. This research guides practitioners in selecting effective plume interpolation strategies.

Area of Science:

  • Environmental Science
  • Hydrogeology
  • Geostatistics

Background:

  • Groundwater plume interpolation estimates contaminant concentrations at unsampled sites, crucial for understanding contaminant distribution.
  • Challenges include sparse data, irregular monitoring networks, and the heterogeneous, anisotropic, and nonstationary nature of contaminant fields.
  • Accurate plume interpolation is vital for effective environmental remediation and risk assessment.

Purpose of the Study:

  • To comprehensively analyze and compare the performance of six different interpolation methods for scatter-point contaminant concentration data.
  • To evaluate interpolation accuracy under varying plume complexities and data availability scenarios.
  • To provide guidance for selecting optimal plume interpolation techniques in practical hydrogeological assessments.

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Main Methods:

  • Six interpolation methods were evaluated, including intrinsic kriging and inverse-distance weighting.
  • High-resolution simulation data of perchloroethylene (PCE) contamination in a heterogeneous alluvial aquifer were utilized.
  • Three test cases were generated, varying plume size, complexity, and data density.

Main Results:

  • The performance of interpolation methods was significantly influenced by sample variability and preferential sampling.
  • Quantile kriging demonstrated the highest robustness, exhibiting the least bias across different test scenarios.
  • Other methods showed varying degrees of effectiveness depending on the specific characteristics of the contaminant plume and data.

Conclusions:

  • Quantile kriging is recommended as a robust and reliable method for groundwater plume interpolation.
  • The study highlights the importance of considering data limitations and contaminant field characteristics when choosing an interpolation technique.
  • Findings assist practitioners in balancing theoretical considerations, ease of implementation, and effectiveness for plume interpolation.