区域多尺度随机介质模型及其波场分析

Regionalized multi-scale random medium model and its wavefield analysis

中国地质大学地球物理系,湖北武汉430074

Department of Geophysics, China University of Geosciences, Wuhan 430074, China

常规地震的层状介质理论不适用于高精度地震工作, 为此, 必须发展复杂非均匀介质中的地震波场理论。利用统计学方法对复杂介质进行描述, 研究介质中地震波场特征的随机介质波场理论, 是非均匀介质地震波场理论发展的一个方向。为此, 发展了常规随机介质模型, 提出了一种称为“叠加型”的多尺度随机介质模型和一种“区域多尺度随机介质模型”。利用非均匀介质弹性波波动方程的数值求解, 研究了这类随机介质模型中的地震波场特征, 得出了一些有意义的结论。

Traditional seismic wavefield theory fails to guide high precision seismic exploration. We should develop wavefield theory in heterogeneous media. Wavefield theory in random media, which models media using statistical methods and analyzes their wavefields, is a direction of development for wavefield theory in heterogeneous media. In this paper, we propose two random medium models,‘stacking’ and ‘regionalized’ multi-scale random medium models, and calculate their wavefields by elastic wave equation in heterogeneous media. Some valuable results have been yielded.