Comparison of the Polynomial Regression Zonal Estimation Comparison of the Inverse Distance Weighting and Ordinary Kriging Linear Interpolator: Case Study of Porosity Estimation in Neogene Sandstone Reservoirs in the Sava Depression, Croatia
DOI:
https://doi.org/10.17794/rgn.2025.4.14Keywords:
sandstone reservoirs, porosity, zonal estimation, interpolation, Sava Depression, CroatiaAbstract
Two reservoir porosity datasets are mapped using the Polynomial Regression (PR; zonal estimation), Inverse Distance Weighting (IDW) and Ordinary Kriging (OK; both are interpolations). Data were collected from sandstone reservoirs "K" (19 samples) and "L" (25 samples), of the Lower Pontian age, and located in the Sava Depression, Croatia. Maps were compared via cross-validation (mean square error) and visual inspection of key features. Datasets are considered as small ("K" reservoir) and large ("L" reservoir). In the "K" reservoir, the MSE values are 0.000119 for IDW vs. 0.05401 for PR. In the "L" reservoir the MSE are 0.000676 (OK) vs. 0.040117 (PR). Zonal estimation obviously did not prove as primary mapping in the sets with about 20 datasets. A linear interpolator like the IDW or OK are much better choices, especially if a spatial model can be reliably modelled, like in this case for porosity characterised with normal distribution, which favoured the OK. However, zonal estimation can be a useful addon in interpretation, especially in zones where interpolation is considering less reliable, like in transitional areas.
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Copyright (c) 2025 Tomislav Malvić, Josip Ivšinović, Uroš Barudžija, Ivana Brajnović, Maria Rudec
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