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Article

Parameterization of Pilot Point Methodology for Supplementing Sparse Transmissivity Data

Department of Civil Engineering, Indian Institute of Technology (IIT) Ropar, Nangal Road, Rupnagar 140001, India
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Author to whom correspondence should be addressed.
Academic Editor: Maurizio Polemio
Water 2021, 13(15), 2082; https://doi.org/10.3390/w13152082
Received: 15 June 2021 / Revised: 19 July 2021 / Accepted: 27 July 2021 / Published: 30 July 2021
Pilot point methodology (PPM) permits estimation of transmissivity at unsampled pilot points by solving the hydraulic head based inverse problem. Especially relevant to areas with sparse transmissivity data, the methodology supplements the limited field data. Presented herein is an approach for estimating parameters of PPM honoring the objectives of refinement of the transmissivity (T) interpolation and the model calibration. The parameters are the locations and number of pilot transmissivity points. The location parameter is estimated by defining a qualifying matrix Q comprising weighted sum of the hydraulic head-sensitivity and the kriging variance fields. Whereas the former component of Q promotes the model calibration, the latter one leads to improved T interpolation by locating pilot points in un-sampled tracts. Further, a three-stage methodology is proposed for an objective determination of the number of pilot points. It is based upon sequential upgradation of the Variogram as the pilot points are added to the data base, ensuring its convergence with the head-based optimal Variogram. The model has been illustrated by applying it to Satluj-Beas interbasin wherein the pumping test data is not only sparse, but also unevenly distributed. View Full-Text
Keywords: pilot point method; groundwater modeling; inverse problem; kriging; calibration with sparse data pilot point method; groundwater modeling; inverse problem; kriging; calibration with sparse data
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MDPI and ACS Style

Kapoor, A.; Kashyap, D. Parameterization of Pilot Point Methodology for Supplementing Sparse Transmissivity Data. Water 2021, 13, 2082. https://doi.org/10.3390/w13152082

AMA Style

Kapoor A, Kashyap D. Parameterization of Pilot Point Methodology for Supplementing Sparse Transmissivity Data. Water. 2021; 13(15):2082. https://doi.org/10.3390/w13152082

Chicago/Turabian Style

Kapoor, Aditya, and Deepak Kashyap. 2021. "Parameterization of Pilot Point Methodology for Supplementing Sparse Transmissivity Data" Water 13, no. 15: 2082. https://doi.org/10.3390/w13152082

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