SIMULATION OF STOCHASTIC WAVES IN A NONHOMOGENEOUS RANDOM-FIELD

Stochastic waves are simulated in a non-homogeneous field; layered med ia with irregular interfaces. Observed waves are specified at one or m ore points, and the proposed procedure simulates waves at arbitrary po ints for which no motion has been proposed, using only information fro m observed records. Stochastic waves are assumed to be composed of a d eterministic 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 inte rpolation of random waves. According to the conditional simulation, ra ndom stochastic waves were generated on a non-homogeneous random field . The simulated waves are coincident with known time histories at spec ific points. To check the validity of the procedure developed, we calc ulated the waves in layered media with irregular interfaces using the discrete wave-number method and compared them to the waves simulated b y our procedure. This procedure that includes the kriging technique pr ovides an efficient means by which to simulate the stochastic waves of a non-homogeneous random field.