INFINITE DOMAIN WAVE MOTION ANALYSIS IN RANDOM MEDIA
考虑场地介质随机特性的无限域波动分析

The random parameter field is discretized into random variables which are expanded in the form of orthogonal polynomials in probability space, and the random differential wave equation is transformed into deterministic linear order-expanded equations. An order-expanded multi-transmitting artificial boundary formula is also derived based on the finite element simulation of wave motion. The combination of the deterministic order-expanded equations and the order-expanded multi-transmitting artificial boundary formula can provide a method to analyze the problem of wave motion analysis in infinite domain with uncertainty in site. Not only is this method free from the secular problem of the corresponding methods which are based on perturbation idea, but also it avoid the numerical instability resulted from the heterogeneity of the ABC elements samples when the Monte Carlo simulation method is used.