A versatile integral equation technique for magnetic modelling

Journal of Applied Geophysics

Volumn 41, Issue 4, 1999, Pages 345-357

  Furness, Peter ^a  

^a UNIVERSITY OF QUEENSLAND   (Australia)

Author keywords

Integral equation; Magnetic model; Magnetic prospecting

Indexed keywords

BOUNDARY VALUE PROBLEMS; GREEN'S FUNCTION; INTEGRAL EQUATIONS; MAGNETIC FIELDS; MAGNETIZATION; MATHEMATICAL MODELS; MINERAL EXPLORATION;

SURFACE DISCRETIZATION;

MAGNETIC PROSPECTING;

DATA PROCESSING; MAGNETIC METHOD; MODELING;

EID: 0032830350     PISSN: 09269851     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0926-9851(99)00005-1     Document Type: Article

References (24)

1. Clark, D.A., Saul, S.J., Emerson, D.W., 1986. Magnetic and gravity anomalies of a triaxial ellipsoid. Exploration Geophys. 17, 189-200.
2. Eloranta, E.H., 1986. Potential field of a stationary electric current using Fredholm's integral equations of the second kind. Geophys. Prospecting 34, 856-872.
3. Emerson, D.W., Clark, D.A., Saul, S.J., 1985. Magnetic exploration models incorporating remanence, demagnetization and anisotropy: HP 41C handheld computer algorithms. Exploration Geophys. 16, 1-122.
4. Emerson, D.W., Reid, J.E., Clark, D.A., Hallett, M.S.C., Manning, P.B., 1992. The geophysical responses of buried drums - field tests in weathered Hawkesbury Sandstone, Sydney Basin, NSW. Exploration Geophys. 23, 589-617.
5. Eskola, L., 1992. Geophysical Interpretation Using Integral Equations. Chapman & Hall.
6. Eskola, L., Tervo, T., 1980. Solving the magnetostatic field problem (a case of high susceptibility) by means of the method of subsections. Geoexploration 18, 79-95.
7. Eskola, L., Jokinen, T., Soininen, H., Tervo, T., 1993. J. Appl. Geophys. 30, 229-234.
8. Furness, P., 1976. Analytical and numerical studies of the d.c. geoelectric prospecting method. PhD thesis, University of Queensland.
9. Furness, P., 1994. A physical approach to computing magnetic fields. Geophys. Prospecting 42, 405-416.
10. Haus, H.A., Melcher, J.R., 1989. Electromagnetic Fields and Energy. Prentice-Hall.
11. Hongisto, H., Oksama, M., 1997. Constraining of the zero total surface charge in galvanic modelling. Geophysical Prospecting, in press.
12. Hvozdara, M., 1982. Potential field of a stationary electric current in a stratified medium with a three-dimensional perturbing body. Stud. Geophys. Geodaetica 26, 160-172.
13. Jackson, J.D., 1975. Classical Electrodynamics. Wiley.
14. Kaufman, A.A., 1992. Geophysical Field Theory and Method: Part A. Gravitational, Electric and Magnetic Fields. Academic Press.
15. Lee, T.J., 1980. Rapid computation of magnetic anomalies with demagnetization included, for arbitarily shaped magnetic bodies. Geophys. J. R. Astron. Soc. 60, 67-75.
16. Morrison, D.W., 1967. Mineral Magnetism, Mining Geophysics. The Society of Exploration Geophysicists.
17. Nagigian, M.N., Oppliger, G.L., Edwards, R.N., Lo, B.B.H., Cheesman, S.J., 1984. Cross-hole magneto-magnetic resistivity (MMR). Geophysics 49, 1313-1326.
18. Phillips, H.B., 1934. Effect of surface discontinuity on the distribution of potential. J. Math. Phys. 13, 261-267.
19. Ravat, D., 1996. Magnetic properties of unrusted steel drums from laboratory and field-magnetic measurements. Geophysics 61, 1325-1335.
20. Sampaio, E.E.S., 1982. Magnetic anomalies of two-dimensional bodies in a magnetic half-space. Geophysics 47, 1229-1234.
21. Schulz, R., 1985. The method of integral equation in the direct current resistivity method and its accuracy. J. Geophys. 56, 192-200.
22. Sharma, P.V., 1966. Rapid computation of magnetic anomalies and demagnetization effects caused by bodies of arbitary shape. Pure Appl. Geophys. 64, 89-109.
23. Stratton, J.A., 1941. Electromagnetic Theory. McGraw-Hill.
24. Traynin, P., Hansen, R.O., 1993. Magnetic modeling for highly permeable bodies with remanent magnetization, 63rd Annual International Meeting of the Society of Exploration Geophysicists. Expanded Abstracts, pp. 410-413.