Title :
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
fDate :
5/1/1998 12:00:00 AM
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;
Journal_Title :
Geoscience and Remote Sensing, IEEE Transactions on
