CALCULATION OF SENSITIVITIES FOR THE FREQUENCY-DOMAIN ELECTROMAGNETIC PROBLEM

被引：115

作者：

MCGILLIVRAY, PR ^{[1
]}

OLDENBURG, DW ^{[1
]}

ELLIS, RG ^{[1
]}

HABASHY, TM ^{[1
]}

机构：

[1] SCHLUMBERGER DOLL RES CTR,RIDGEFIELD,CT 06877

来源：

GEOPHYSICAL JOURNAL INTERNATIONAL | 1994年 / 116卷 / 01期

关键词：

ELECTROMAGNETIC INDUCTION; FRECHET DERIVATIVE; INVERSE PROBLEM; SENSITIVITIES;

D O I：

10.1111/j.1365-246X.1994.tb02121.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：

A simple derivation is presented for the computation of sensitivities needed to solve parametric inverse problems in electromagnetic induction. It is shown that sensitivities for any component of an electromagnetic field can be obtained by solving two boundary-value problems which are identical except for the specification of the source terms and (possibly) prescribed boundary conditions. The electric fields from these primal and auxiliary problems are multiplied and integrated to produce a numerical value for the sensitivity. Although the final formulae derived here are equivalent to those developed through the use of formal adjoint or Green's functions approaches, our work does not require explicit derivation of the adjoint operator and boundary conditions and does not formally invoke reciprocity.

引用

页码：1 / 4

页数：4

共 14 条

[1]

ELLIS RG, 1993, UNPUB GEOPHYS J INT

[2]

Harrington R. F., 1961, TIME HARMONIC ELECTR

[3]

JUPP DLB, 1976, GEOPHYS J ROY ASTRON, V50, P333

[4]

Lanczos C., 1961, LINEAR DIFFERENTIAL