三维各向异性介质中的地震波模拟

Seismic modeling in 3-D elastic anisotropic media

西南石油学院, 南充637001

Southwest College of Petrolcum, Nanchong 637001

本文给出了一种在三维各向异性介质中模拟地震波传播的方案。该方案是利用Fourier方法来计算空间导数和时间导数, 用蛙跳技术计算来完成模拟的。允许弹性常数和密度在横向上和纵向上任意变化。由于采用了Fourier方法计算空间导数, 可获得较高的模拟精度, 并可有效地减少工作空间, 这在三维模拟中是十分重要的。模拟方案是在Micro-VAX3500机上实现的。尽管本方案可用于计算任意弹性各向异性介质, 文中给出的例子仅模拟了具有垂直对称轴的横向各向同性介质中的波场。

This paper proposcs a "frog jump" simulation tcchnique for seismic modeling in 3-D elastic anisotropic media, which allows of the density parameter and other clastic constants to vary both laterally and vertically. Moreover, the technique uses Fourier method to compute both time and spacc derivativcs, which will give rise to the reduction of storage space and highcr accuracy in seismic simulation.The scheme is implemented on a Micro - VAX 3500 computer. An cxample conccrning the modeling of the wave propagation in a laterally isotropic medium symmetrical about an axis is given in the paper though the scheme is applicable to any elastic anisotropic medium.