Application of the radial basis function interpolation method in selected reservoirs of the croatian part of the pannonian basin system

Abstract

Purpose. The use of interpolation methods of mapping Radial Basis Function (RBF) on reservoir data from one field in Croatian part of Pannonian Basin System (CPBS). Methods. The RBF method (with five single basic mathematical functions) was applied to small datasets. Application of the Radial Basis Function (RBF) method and comparison with previous application of the Inverse Distance Weighting (IDW) method applied in the CPBS area. The IDW and RBF methods were compared by cross-validation value and visual inspection of interpolated maps. Findings. The RBF method was tested on a small data sample. The RBF method can be used independently when using the Inverse Multiquadric Function (RBF-IM) mathematical function, while the remaining analyzed mathematical multilog function (RBF-M) and “multiquadric function” (RBF-M2) can be used as additional sources of information when mapping. Originality. For the first time RBF is applied as a method in the CPBS area for small input data sets. Practical implications. For small sample the RBF method cannot be applied independently. According to the cross-validation value and visual inspection of interpolated maps, the method that can be used with the IDW method when mapping a small sample is RBF-IM. It could be primary or additional method for a small sample, while for a large sample it offers additional information.