Conceptual and numerical models of groundwater flow in the Ogallala and Arikaree aquifers, Pine Ridge Indian Reservation area, South Dakota, water years 1980-2009

Davis, Kyle W.; Putnam, Larry D.; LaBelle, Anneka R.

doi:10.3133/sir20145241

Cited by 4 publications

(1 citation statement)

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“…An alternative approach is to overcome the T data deficit by head based inverse problem (IP) solutions [15,16]. Such an approach leads to T fields that are optimally consistent with the historical heads and the flow equation.…”

Section: Introductionmentioning

confidence: 99%

Parameterization of Pilot Point Methodology for Supplementing Sparse Transmissivity Data

Kapoor

Kashyap

2021

Water

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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.

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Section: Introductionmentioning

confidence: 99%