New developments in AEM discrete conductor modelling and inversion
Marc A. Vallée1624, Blohm Drive, Ottawa, Ontario, Canada K1G 5P3. Email: marc.a.vallee@rogers.com
Exploration Geophysics 46(1) 97-111 https://doi.org/10.1071/EG14025
Submitted: 13 March 2014 Accepted: 3 August 2014 Published: 8 October 2014
Abstract
Discrete conductor models like sphere and plate were introduced in the 1950s as modelling tools in airborne electromagnetic (AEM) survey interpretation. In the last 20 years, with the development of inversion techniques, they have been integrated into parametric inversion programs. The recent advent of powerful workstations makes them useful tools for interactive AEM interpretation. Different problems have been encountered in the implementation and application of discrete objects as modelling and inversion tools. The sphere response is modelled using a sum of spherical functions. Assuming that the radius of the sphere is small compared to the distance between the transmitter and receiver to the centre of the sphere, the response can be approximated by using only the first term of the solution. This approach is reviewed for modelling the response of a conductive sphere in free space or buried in a layered earth. Plate modelling is based on spectral methods or the integral equation method, which provide different techniques for estimating the response of a plate in free space. A comparison of the results of these techniques show differences attributed to the different discretisation methods. A case history from Abitibi, Canada, shows that plate inversion using two different inversion methods provides useful information when the target is a plate-like conductor in a resistive environment.
Key words: airborne electromagnetics, discrete conductor, inversion, modelling, sphere.
References
Annan, A. P., 1974, The equivalent source method for electromagnetic scattering analysis and its geophysical application: Ph.D. thesis, Memorial University of Newfoundland.Cheng, L. Z., Smith, R. S., Allard, M., Keating, P., Chouteau, M., Lemieux, J., Vallée, M. A., Bois, D., and Fountain, D. K., 2006, Geophysical case study of the Iso and new Insco deposits, Québec, Canada, part I: data comparison and analysis: Exploration and Mining Geology, 15, 53–63
| Geophysical case study of the Iso and new Insco deposits, Québec, Canada, part I: data comparison and analysis:Crossref | GoogleScholarGoogle Scholar |
Christensen, N. B., 1990, Optimized fast Hankel transform filters: Geophysical Prospecting, 38, 545–568
Dyck, A. V., 1991, Integral equation solution for EM induction in a thin plate, in M. N. Nabighian, ed., Electromagnetic methods in applied geophysics: SEG Books, Vol. 2, Application, Parts A and B, 924–926.
Dyck, A. V., and West, G. F., 1984, The role of simple computer models in interpretations of wide-band, drill-hole electromagnetic surveys in mineral exploration: Geophysics, 49, 957–980
| The role of simple computer models in interpretations of wide-band, drill-hole electromagnetic surveys in mineral exploration:Crossref | GoogleScholarGoogle Scholar |
Ferneyhough, A. B., 1985, The quantitative interpretation of airborne electromagnetic data: Geophysics Laboratory, Department of Physics, University of Toronto.
Grant, F. S., and West, G. F., 1965, Interpretation theory in applied geophysics: McGraw-Hill Book Company.
Gumerov, N. A., and Duraiswami, R., 2007, A scalar potential formulation and translation theory for the time-harmonic Maxwell equations: Journal of Computational Physics, 225, 206–236
| A scalar potential formulation and translation theory for the time-harmonic Maxwell equations:Crossref | GoogleScholarGoogle Scholar |
Hanneson, J. E., and West, G. F., 1984, The horizontal loop electromagnetic response of a thin plate in a conductive earth: part I – computational method: Geophysics, 49, 411–420
| The horizontal loop electromagnetic response of a thin plate in a conductive earth: part I – computational method:Crossref | GoogleScholarGoogle Scholar |
Hurley, D. G., 1977, The effect of a conductive overburden on the transient electromagnetic response of a sphere: Geoexploration, 15, 77–85
| The effect of a conductive overburden on the transient electromagnetic response of a sphere:Crossref | GoogleScholarGoogle Scholar |
Jackson, D. D., 1972, Interpretation of inaccurate, insufficient and inconsistent data: Geophysical Journal International, 28, 97–109
| Interpretation of inaccurate, insufficient and inconsistent data:Crossref | GoogleScholarGoogle Scholar |
Jessell, M., 2001, Three-dimensional geological modelling of potential-field data: Computers & Geosciences, 27, 455–465
| Three-dimensional geological modelling of potential-field data:Crossref | GoogleScholarGoogle Scholar |
Keating, P. B., and Crossley, D. J., 1990, The inversion of time-domain airborne electromagnetic data using the plate model: Geophysics, 55, 705–711
| The inversion of time-domain airborne electromagnetic data using the plate model:Crossref | GoogleScholarGoogle Scholar |
Lajoie, J. J., and West, G. F., 1976, The electromagnetic response of a conductive inhomogeneity in a layered earth: Geophysics, 41, 1133–1156
| The electromagnetic response of a conductive inhomogeneity in a layered earth:Crossref | GoogleScholarGoogle Scholar |
Lee, T., 1975, Transient electromagnetic response of a sphere in a layered medium: Geophysical Prospecting, 23, 492–512
| Transient electromagnetic response of a sphere in a layered medium:Crossref | GoogleScholarGoogle Scholar |
Lee, T., 1983, The transient electromagnetic response of a conducting sphere in an imperfectly conduction half-space: Geophysical Prospecting, 31, 766–781
| The transient electromagnetic response of a conducting sphere in an imperfectly conduction half-space:Crossref | GoogleScholarGoogle Scholar |
Macnae, J., 2013, Ultra-fast 3D parameterised AEM inversion using spectral methods: 23nd ASEG-PESA International Geophysical Conference and Exhibition, Extended Abstracts, 1–4.
Oldenburg, D. W., and Pratt, D. A., 2007, Geophysical inversion for mineral exploration: a decade of progress in theory and practice, in B. Milkereit, ed., Proceedings of Exploration 07: Fifth Decennial International Conference on Mineral Exploration: DMEC, 61–95.
Palacky, G. J., and West, G. F., 1973, Quantitative interpretation of INPUT AEM measurements: Geophysics, 38, 1145–1158
| Quantitative interpretation of INPUT AEM measurements:Crossref | GoogleScholarGoogle Scholar |
Raiche, A., 1998, Modelling the time-domain response of AEM systems: Exploration Geophysics, 29, 103–106
| Modelling the time-domain response of AEM systems:Crossref | GoogleScholarGoogle Scholar |
Raiche, A., 2008, The P223 software suite for planning and interpreting EM surveys: Preview, 132, 25–30
Raiche, A., Wilson, G., and Sugeng, F., 2006, Practical 3D AEM inversion based on thin-plate structures: AESC2006 (Melbourne), Extended Abstracts, 1–4.
Schelkunoff, S. A., 1943, Electromagnetic waves: D. Van Nortrand Co., Inc.
Singh, S. K., 1973, Electromagnetic transient response of a conducting sphere embedded in a conductive medium: Geophysics, 38, 864–893
| Electromagnetic transient response of a conducting sphere embedded in a conductive medium:Crossref | GoogleScholarGoogle Scholar |
Smith, R. S., and Lee, T. J., 2001, The impulse-response moments of a conductive sphere in a uniform field, a versatile and efficient electromagnetic model: Exploration Geophysics, 32, 113–118
| The impulse-response moments of a conductive sphere in a uniform field, a versatile and efficient electromagnetic model:Crossref | GoogleScholarGoogle Scholar |
Smith, R., Fountain, D., and Allard, M., 2003a, The MEGATEM fixed-wing transient EM system applied to mineral exploration: a discovery case history: First Break, 21, 73–77
Smith, R., Hyde, C., Lee, T., and Almond, R., 2003b, Impulsive moments at work: 16th ASEG Geophysical Conference and Exhibition (Adelaide), Extended Abstracts, 1–7.
Telford, W. M., and Becker, A., 1979, Exploration case histories of the Iso and New Insco ore bodies, in P. J. Hood, ed., Geophysics and geochemistry in the search for metallic ores: Geological Survey of Canada, Economic Geology, Report 31, 605–629.
Wait, J. R., 1951, A conducting sphere in a time varying magnetic field: Geophysics, 16, 666–672
| A conducting sphere in a time varying magnetic field:Crossref | GoogleScholarGoogle Scholar |
Walker, P. W., and West, G. F., 1991, A robust integral equation solution for electromagnetic scattering by a thin plate in conductive media: Geophysics, 56, 1140–1152
Ward, S. H., and Hohmann, G. W., 1987, Electromagnetic theory for geophysical applications, in M. N. Nabighian, ed., Electromagnetic methods in applied geophysics: SEG Books, Vol. 1, Theory, 131–311.
Weidelt, P., 1981, Dipolinduktion in einer dünnen Platte mit leitfähiger Umgebung und Deckschicht. Report 89727, BGR, Hannover.
Xiong, Z., Luo, Y., Wang, S., and Wu, G., 1986, Induced-polarization and electromagnetic modelling of a three-dimensional body buried in a two-layer anisotropic earth: Geophysics, 51, 2235–2246
| Induced-polarization and electromagnetic modelling of a three-dimensional body buried in a two-layer anisotropic earth:Crossref | GoogleScholarGoogle Scholar |