The Comparison of Random Fields with «Power» and Whittle-Matern Correlation Functions in 3D area by Statistical Simulation on Rivne NPP example

Abstract

Summary The article is devoted to using methods of random fields in 2D area statistical simulation (Monte Carlo methods) in environmental geophysical monitoring problems. A new method has been devised to simulate random field in 2D area with «power» correlation function, based on spectral decomposition, for investigation of chalk layer density on Rivne NPP industrial area territory. It has been considered the problem of statistical simulation of «noise» for chalk layer density realizations as random fields in 2D space. It has been constructed the statistical model for the gauss random fields with «power» correlation function in two-dimensional space. It has been received of random fields in 2D area realization with «power» correlation function by using those models, formulating the algorithm and building programs. A comparative analysis of random fields with «power» correlation function with Whittle-Matern correlation function is given.