About statistical simulation algorithm of dataset in 3-D area with spherical соrrelation function on Rivne NPP example

Abstract

SUMMARY The article is devoted to using methods of random fields in 3-D area statistical simulation (Monte Carlo methods) in environmental geophysical monitoring problems. A new effective algorithm has been devised to simulate random field in 3D area with spherical соrrelation 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 3D space. It has been constructed the statistical model for the gauss random fields in three-dimensional space, with spherical соrrelation function. It has been received of random fields in 3-D area realization with spherical соrrelation function by using those models, formulating the algorithm and building programs.