Application of successive approximation method to the computation of the Green´s function in axisymmetric inhomogeneous media

Author

Zhang, Geng Ji ; Zhang, Zhong Qing

Author_Institution

Dept. of Exploration, Univ. of Pet., Shandong, China

Volume

36

Issue

3

fYear

1998

fDate

5/1/1998 12:00:00 AM

Firstpage

732

Lastpage

737

Abstract

The successive approximation method (SAM) is applied to the computation of the Green´s function in axisymmetric inhomogeneous media, SAM is implemented by using an iterative procedure that produces a series, and the series is proven to be a Taylor series. The condition of the convergence is derived from the theory of functions of several complex variables. In each iteration, the Fourier-Hankel transform and its inverse are applied to the approximation of some order of the Green´s function and the result is the approximation one order higher than the original. Fast Fourier-Hankel transform (FFHT) is employed to speed up the computation, and thereby, an algorithm SAM-FFHT is formulated

Keywords

Green´s function methods; Hankel transforms; fast Fourier transforms; geophysical prospecting; geophysical techniques; terrestrial electricity; Fourier-Hankel transform; Green´s function; Taylor series; algorithm; axisymmetric inhomogeneous media; borehole method; convergence; exploration; fast Fourier-Hankel transform; geoelectric method; geophysical measurement technique; iterative procedure; prospecting; series; several complex variables; successive approximation method; terrestrial electricity; theory of functions; well logging; Approximation methods; Conductivity; Distributed computing; Fast Fourier transforms; Fourier transforms; Green´s function methods; Kernel; Nonhomogeneous media; Physics computing; Taylor series;

fLanguage

English

Journal_Title

Geoscience and Remote Sensing, IEEE Transactions on

Publisher

ieee

ISSN

0196-2892

Type

jour

DOI

10.1109/36.673666

Filename

673666