Interpolation Method for Modeling Petrophysical Properties based on a Truncated Gaussian Kernel
DOI:
https://doi.org/10.5281/zenodo.18149001Keywords:
Truncated Gaussian Kernel, interpolation, geostatistics, petrophysical modelingAbstract
This paper presents the methodological development, formulation, and validation of a new deterministic interpolator: the Truncated Gaussian Kernel (TGK), which is based on the principles of Smoothed Particle Hydrodynamics (SPH). It is a mesh-free method designed to handle the dispersed and heterogeneous data common in hydrocarbon exploration and production. The proposed methodology includes a robust process for optimizing its hyper parameters by minimizing the Mean Squared Error (MSE). The performance of the KGT is rigorously validated through statistical tests and comparison with Universal Kriging in a study area. The results demonstrate a significant improvement in predictive accuracy and a high capacity for generalization in blind tests, reducing over fitting and thus establishing the KGT as an accurate and robust alternative for modeling petrophysical properties.
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