ON THE EQUIVALENCE OF 2 METHODS FOR COMPUTING PARTIAL DERIVATIVES OF SEISMIC WAVE-FORMS

被引：11

作者：

GELLER, RJ ^{[1
]}

HARA, T ^{[1
]}

TSUBOI, S ^{[1
]}

机构：

[1] UNIV TOKYO,EARTHQUAKE RES INST,TOKYO 113,JAPAN

来源：

GEOPHYSICAL JOURNAL INTERNATIONAL | 1990年 / 100卷 / 01期

关键词：

Born approximation; variational formulation; waveform inversion;

D O I：

10.1111/j.1365-246X.1990.tb04574.x

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 first term of the Born series is widely used (e.g. Woodhouse & Girnius, 1982; Tanimoto 1984) to compute the partial derivatives of seismic waveforms. On the other hand, Tsuboi & Geller (1987) first use the variational method to compute the eigensolutions for a laterally heterogeneous model. They then compute the partial derivatives of the waveforms using those of the eigenfrequencies and eigenfunctions. In the present paper we show that the partial derivatives of the waveforms obtained by these two different methods are equal. Thus the first term of the Born series fully includes the first‐order correction to the eigenfrequencies and eigenfunctions. the present paper does not consider models with degenerate eigenstates, such as laterally homogeneous models. Copyright © 1990, Wiley Blackwell. All rights reserved

引用

页码：153 / 156

页数：4

共 8 条

[1]

[Anonymous], 1987, INVERSE PROBLEM THEO

[2] ELASTODYNAMICS IN A LATERALLY HETEROGENEOUS, SELF-GRAVITATING BODY [J].