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.

中文翻译：

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用于补充稀疏透射率数据的先导点方法的参数化

先导点方法 (PPM) 允许通过解决基于水头的逆问题来估计未采样先导点的透射率。该方法尤其与透射率数据稀疏的地区相关，补充了有限的现场数据。在此介绍了一种用于估计 PPM 参数的方法，该方法实现了透射率 ( T ) 插值的细化和模型校准的目标。参数是导频传输点的位置和数量。位置参数是通过定义限定矩阵Q来估计的，该矩阵Q包括水头敏感度和克里金方差字段的加权和。Q的前一个分量促进模型校准，而后一个分量导致改进通过在未采样的区域中定位导频点来进行T插值。此外，提出了一种三阶段方法来客观确定引导点的数量。它基于变异函数的顺序升级，因为将引导点添加到数据库中，确保其与基于头部的最佳变异函数收敛。该模型已通过将其应用于 Satluj-Beas 间流域来说明，其中抽水试验数据不仅稀疏，而且分布不均匀。