COMPARATIVE-STUDY OF VARIOUS APPROACHES TO STOCHASTIC ELASTIC-WAVE PROPAGATION

Three approaches to the problem of 1-D wave propagation in media with random elastic and mass properties are studied: (i) method of integral spectral decomposition, (ii) the Fokker-Plank-Kolmogorov equation, an d (iii) the Dyson integral equation. Merits and shortcomings of each a pproach are discussed. It is shown that the approaches cover actually all possible problems of the harmonic wave propagation in heterogeneou s or stochastic media, hence, by means of a preliminary analysis of a particular problem and bearing in mind the strong and weak sides of ea ch approach, one can choose an appropriate solution strategy.