伪谱法在常Q粘弹介质地震波场模拟中的应用效果  

The application of pseudo-spectral forward modeling of seismic wave field in constant Q viscoelastic medium

作　　者：张智[1] 刘财[1] 邵志刚[2] 钟伟[1] 

机构地区：[1]吉林大学地球探测科学与技术学院,长春130026 [2]中国科技大学地空学院,合肥230026

出　　处：《地球物理学进展》2005年第4期945-949,共5页Progress in Geophysics

摘　　要：本文采用伪谱法推导了常Q粘弹介质中地震波场的运动方程和波动方程,并进行了地震波场数值正演模拟,模拟结果达到了其它模拟方法同样的效果.但与其它方法相比,采用伪谱法不仅简洁明了,更便于理解;更重要的是它比以往的方法更具有通用性.由此可以说,如果采用伪谱法模拟其它更复杂的粘弹介质模型时,完全可以避免不必要的而且烦杂的数学推导过程;直接将体积松弛模量和剪切松弛模量代入即可得其波动方程.The paper deduced movement and wave equation of seismic wave field in constant Q viscoelastic media using the method of Pseudo-spectral, and carried on forward modeling, the modeling result is the same with the one of other modeling ways. But compared with other methods, using the method of Pseudo-spectral is not only simple and direct, easier to comprehension; the method becomes compact and universal when compared with the former methods. So we say that we can absolutely avoid unnecessary and bothering process in mathematic deducibility if making full use of the method of Pseudo-spectral in more complex viscoelastic media, we can get wave equation when directly replacing with two kinds of relaxation modules.

关 键 词：伪谱法 常Q粘弹介质 波动方程 松弛模量 

分 类 号：P631[天文地球—地质矿产勘探]