1887
Volume 54, Issue 4
  • ISSN: 0812-3985
  • E-ISSN: 1834-7533

Abstract

Estimating the electromagnetic response of a conductive sphere in a layered earth is of great interest in terms of both modelling and interpretating data acquired via geophysical electromagnetic methods where the target is at some distance from the source and receiver. This is particularly the case when using Airborne Electromagnetic Method (AEM) where the source and receiver are located at some height above the subsurface. This problem can be solved by utilising field expansions representing derivatives of cylindrical functions, which describe the fields propagating in the layered earth, and spherical functions, which describe the fields reflected by the sphere. Furthermore, these representations allow the development of relationships between cylindrical and spherical functions. These functions and subsequent relationships have been used to develop an algorithm for estimating the electromagnetic response of a conductive sphere in an isotropic layered earth. Software based on this algorithm has been tested on both synthetic and field data. The field data presented were collected with the AEM AirTEM system over the Reid-Mahaffy test site, Ontario, Canada. Results from these tests prove the importance and utility of integrating the sphere in a layered earth model in the AEM interpretation toolbox.

Loading

Article metrics loading...

/content/journals/10.1080/08123985.2022.2162382
2023-07-04
2026-01-24
Loading full text...

Full text loading...

References

  1. Adams, J., and P.Swarztrauber. 1998. “SPHEREPACK” V. 3.2. A package of FORTRAN77 subroutines and programs for modeling geophysical processes. Boulder, CO: National Center for Atmospheric Research.
  2. Balch, S.J., C.Samson, and J.L.Sanchez. 2016. Correcting for HTEM altitude variations by transmitter mutual inductance normalization. In SEG technical program expanded abstracts: 2139–2143.
  3. Brodie, R.C.2016. User manual for geoscience Australia's airborne electromagnetic inversion software. Canberra: Geoscience Australia.
  4. Chen, J., and A.Raiche. 1998. Inverting AEM data using a damped eigenparameter method. Exploration Geophysics29: 128–132. doi:10.1071/EG998128
    https://doi.org/10.1071/EG998128 [Google Scholar]
  5. Christensen, N.B.1990. Optimized fast Hankel transform filters. Geophysical Prospecting38: 545–568. doi:10.1111/gpr.1990.38.issue‑5
    https://doi.org/10.1111/gpr.1990.38.issue-5 [Google Scholar]
  6. Desmarais, J.K., and R.S.Smith. 2016. Approximate semianalytical solutions for the electromagnetic response of a dipping-sphere interacting with conductive overburden. Geophysics81: E265–E277. doi:10.1190/geo2015‑0597.1
    https://doi.org/10.1190/geo2015-0597.1 [Google Scholar]
  7. Grant, F.S., and G.F.West. 1965. Interpretation in applied geophysics. Toronto: McGraw-Hill Book Company.
  8. Gumerov, N.A., and R.Duraiswami. 2003. Recursions for the computation of multipole translation and rotation coefficients for the 3-D Helmholtz equation. SIAM Journal on Scientific Computing25 (4): 1344–1381. doi:10.1137/S1064827501399705
    https://doi.org/10.1137/S1064827501399705 [Google Scholar]
  9. Gumerov, N.A., and R.Duraiswami. 2007. A scalar potential formulation and translation theory for the time-harmonic Maxwell equations. Journal of Computational Physics225: 206–236. doi:10.1016/j.jcp.2006.11.025
    https://doi.org/10.1016/j.jcp.2006.11.025 [Google Scholar]
  10. Hohmann, G.W.1987. Numerical modeling for electromagnetic methods of geophysics. In Electromagnetic methods in applied geophysics, Vol. 1, theory, ed. M.N. Nabighian. Tulsa: SEG Books.
  11. Lee, T.1975. Transient electromagnetic response of a sphere in a layered medium. Geophysical Prospecting23: 492–512. doi:10.1111/gpr.1975.23.issue‑3
    https://doi.org/10.1111/gpr.1975.23.issue-3 [Google Scholar]
  12. Lee, T.J.1980. Transient electromagnetic response of a sphere in a layered medium. Pure and Applied Geophysics119: 309–338. doi:10.1007/BF00877768
    https://doi.org/10.1007/BF00877768 [Google Scholar]
  13. Lee, T.1983. The transient electromagnetic response of a conducting sphere in an imperfectly conduction half-space. Geophysical Prospecting31: 766–781. doi:10.1111/gpr.1983.31.issue‑5
    https://doi.org/10.1111/gpr.1983.31.issue-5 [Google Scholar]
  14. Lodha, G.S., and G.F.West. 1976. Practical airborne EM (AEM) interpretation using a sphere model. Geophysics41 (6A): 1157–1169. doi:10.1190/1.2035910
    https://doi.org/10.1190/1.2035910 [Google Scholar]
  15. Macnae, J.2015. 3D-spectral CDIs: A fast alternative to 3D inversion?. Exploration Geophysics46: 12–18. doi:10.1071/EG14036
    https://doi.org/10.1071/EG14036 [Google Scholar]
  16. March, H.W.1953. The field of a magnetic dipole in the presence of a conducting sphere. Geophysics18 (3): 671–684. doi:10.1190/1.1437921
    https://doi.org/10.1190/1.1437921 [Google Scholar]
  17. Raiche, A.1998. Modelling the time-domain response of AEM systems. Exploration Geophysics29: 103–106. doi:10.1071/EG998103
    https://doi.org/10.1071/EG998103 [Google Scholar]
  18. Raiche, A., F.Sugeng, and G.Wilson. 2007. Practical 3D AEM inversion – the P223F software suite. ASEG Extended Abstract1: 1–5. doi:10.1071/ASEG2007ab114
    https://doi.org/10.1071/ASEG2007ab114 [Google Scholar]
  19. Raiche, A., G.Wilson, and F.Sugeng. 2006. Practical 3D AEM inversion based on thin-plate structures. Paper presented at AESC2006, Melbourne, Extended Abstract, 1–4.
  20. Sattel, D., and J.Reid. 2006. Modelling of airborne EM anomalies with magnetic and electric dipoles buried in a layered earth. Exploration Geophysics37: 254–260. doi:10.1071/EG06254
    https://doi.org/10.1071/EG06254 [Google Scholar]
  21. Schaa, R.2010. Rapid approximate 3D inversion of TEM data. PhD thesis, University of Tasmania. https://eprints.utas.edu.au/21510/.
  22. Schaa, R., and P.K.Fullagar. 2010. Rapid, approximate 3D inversion of transient electromagnetic (TEM) data. In SEG technical program expanded abstracts: 650–654.
  23. Schelkunoff, S.A.1943. Electromagnetic waves. New York: D. Van Nostrand.
  24. Singh, S.K.1973. Electromagnetic transient response of a conducting sphere embedded in a conductive medium. Geophysics38 (5): 864–893. doi:10.1190/1.1440381
    https://doi.org/10.1190/1.1440381 [Google Scholar]
  25. Sommerfeld, A.1909. Über die Ausbreitung der Wellen in der drahtlosen Telegraphie. Annalen der Physik28: 665–736. doi:10.1002/(ISSN)1521‑3889
    https://doi.org/10.1002/(ISSN)1521-3889 [Google Scholar]
  26. Vallée, M.A.2015. New developments in AEM discrete conductor modelling and inversion. Exploration Geophysics46: 97–111. doi:10.1071/EG14025
    https://doi.org/10.1071/EG14025 [Google Scholar]
  27. Wait, J.R.1953. A conducting permeable sphere in the presence of a coil carrying an oscillating current. Canadian Journal of Physics31: 670–678. doi:10.1139/p53‑062
    https://doi.org/10.1139/p53-062 [Google Scholar]
  28. Ward, S.H., and G.W.Hohmann. 1987. Electromagnetic theory for geophysical applications. In Electromagnetic methods in applied geophysics, Vol. 1, theory, ed. M.N. Nabighian. Tulsa: SEG Books.
  29. Witherly, K., R.Irvine, and M.Godbout. 2004. Reid mahaffy test site. In SEG int'l exposition and 74th annual meeting, Denver, CO.
  30. Yin, C., and G.Hodges. 2007. Simulated annealing for airborne EM inversion. Geophysics72 (4): F189–F195. doi:10.1190/1.2736195
    https://doi.org/10.1190/1.2736195 [Google Scholar]
/content/journals/10.1080/08123985.2022.2162382
Loading
/content/journals/10.1080/08123985.2022.2162382
Loading

Data & Media loading...

  • Article Type: Research Article
Keyword(s): airborne; Electromagnetic exploration; layered earth; sphere

Most Cited This Month Most Cited RSS feed

This is a required field
Please enter a valid email address
Approval was a Success
Invalid data
An Error Occurred
Approval was partially successful, following selected items could not be processed due to error