Numerical modeling of transient seismic fields in viscoelastic media based on the Laguerre spectral method

被引：12
|
作者：
Mikhailenko, BG
Mikhailov, AA
Reshetova, GV
机构：
[1] Russian Acad Sci, Inst Computat Math, Novosibirsk 630090, Russia
[2] Russian Acad Sci, Math Geophys Siberian Div, Novosibirsk 630090, Russia
来源：
PURE AND APPLIED GEOPHYSICS | 2003年 / 160卷 / 07期
关键词：
numerical modeling; seismic fields; viscoelastic media; spectral Laguerre method;
D O I：
10.1007/s000240300002
中图分类号：
P3 [地球物理学]; P59 [地球化学];
学科分类号：
0708 ; 070902 ;
摘要：
The wave propagation in real media can be described within the theory of linear viscoelasticity. The presence of convolutional integral in Boltzmann's superposition principle poses the main difficulties in implementing the direct numerical methods in time domain. The paper presents a new algorithm, based on the application of the spectral Laguerre method for the approximation of temporal derivatives and convolution as applied to the problem of seismic wave propagation in the heterogeneous viscoelastic medium. Examples of the calculation of synthetic seismograms for different models of viscoelastic media are presented.
引用
收藏
页码：1207 / 1224
页数：18
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