Simulation of stochastic waves in a non-homogeneous random field

Abstract

Stochastic waves are simulated in a non-homogeneous field; layered media with irregular interfaces. Observed waves are specified at one or more points, and the proposed procedure simulates waves at arbitrary points for which no motion has been proposed, using only information from observed records. Stochastic waves are assumed to be composed of a deterministic component (trend wave) and a stochastic component (random wave). We propose a simple trend model that uses the Fourier spectrum of the observed wave. The kriging method is used for the optimum interpolation of random waves. According to the conditional simulation, random stochastic waves were generated on a non-homogeneous random field. The simulated waves are coincident with known time histories at specific points. To check the validity of the procedure developed, we calculated the waves in layered media with irregular interfaces using the discrete wave-number method and compared them to the waves simulated by our procedure. This procedure that includes the kriging technique provides an efficient means by which to simulate the stochastic waves of a non-homogeneous random field.