METHOD FOR MODELING RESISTIVITY AND IP RESPONSE OF 2-DIMENSIONAL BODIES

被引：53

作者：

SNYDER, DD ^{[1
]}

机构：

[1] EXPLORATION DATA CONSULTANTS INC, DENVER, CO 80228 USA

来源：

GEOPHYSICS | 1976年 / 41卷 / 05期

关键词：

MATHEMATICAL TECHNIQUES - Boundary Value Problems - MATHEMATICAL TRANSFORMATIONS - Fourier Transforms;

D O I：

10.1190/1.1440677

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 method is developed for the solution of the resistivity and IP modeling problem for one or more two-dimensional inhomogeneities buried in a space for which the Dirichlet-Green's function is known. The boundary-value problem reduces to a Fredholm integral equation of the second kind which is parametrically a function of a spatial wavenumber. Using the method of moments, the integral equation is solved for a number of values of the wavenumber. An inverse Fourier transform is then performed in order to obtain the electric potential at any point of interest.

引用

页码：997 / 1015

页数：19

共 20 条

[1]

ABRAMOWITZ M, 1964, HDB MATHEMATICAL FUN

[2]

Alfano L., 1959, Geophysical Prospecting, V7, P311, DOI DOI 10.1111/GPR.1959.7.ISSUE-3

[3]

[Anonymous], 1968, Field Computation by Moment Methods

[4]

[Anonymous], 1965, The Fourier Transform and Its Applications. PentagramNotation for Cross Correlation

[5]

BARNETT CT, 1972, THESIS COLO SCH MINE

[6] ELECTROMAGNETIC AND ELECTRICAL MODELING BY FINITE ELEMENT METHOD [J].

COGGON, JH .

GEOPHYSICS, 1971, 36 (01) :132-&

[7] IP AND RESISTIVITY TYPE CURVES FOR 3-DIMENSIONAL BODIES [J].

DIETER, K ;

PATERSON, NR ;

GRANT, FS .

GEOPHYSICS, 1969, 34 (04) :615-+

[8]

Erdelyi A, 1954, Tables of Integral Transforms

[9]

Gradshteyn I. S., 1965, TABLES INTEGRALS SER

[10] ELECTROMAGNETIC RESPONSE OF A CONDUCTING DISK FOR USE IN AFMAG INTERPRETATION [J].

GREENFIELD, RJ .

GEOPHYSICS, 1971, 36 (04) :723-+

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