1887
25th International Conference and Exhibition – Interpreting the Past, Discovering the Future
  • ISSN: 2202-0586
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Abstract

It is usually assumed that the initial magnetisation curve for a rock, soil or ore sample is linear in the applied field, for fields much less than the coercivity of the magnetic minerals in the sample. This implies that the measured susceptibility, defined as the induced magnetisation divided by the inducing applied field, is independent of the field that is used in the measurement and that the induced magnetisation of the rock unit can be calculated, irrespective of the field used by the measuring instrument, by multiplying the measured susceptibility by the Earth’s field at the location of the rock unit. A better approximation for many materials that contain ferromagnetic minerals is a quadratic dependence of the weak-field magnetisation on the applied field, given by Rayleigh’s Law, which yields a linear dependence of susceptibility on applied field. This field-dependent susceptibility is associated with hysteresis and a phase lag of magnetisation behind the applied field for AC measurements, which can masquerade as a phase lag produced by magnetic viscosity. Field-dependence of susceptibility is strongly affected by self-demagnetisation, so measurements of the Rayleigh coefficient of strongly magnetic samples, as well as the initial susceptibility , must be corrected for self-demagnetisation in order to calculate intrinsic properties of the rock unit. Self-demagnetisation also largely explains why rocks containing low-Ti magnetite grains, which have high intrinsic susceptibility, exhibit only weak field-dependence of susceptibility, whereas rocks bearing titaniferous magnetite, monoclinic pyrrhotite or multidomain hematite exhibit relatively pronounced field-dependence of susceptibility. Under the conditions of the Neel approximation ( « ), the Rayleigh laws are still obeyed even when self-demagnetisation is considered. However, considerable departures from the Rayleigh relations occur when > This paper examines implications of field-dependent susceptibility for measurements of susceptibility and its anisotropy, and methods for correcting calculations of induced magnetisation.

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/content/journals/10.1071/ASEG2016ab233
2016-12-01
2026-01-14
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References

  1. Bloemendal, J., Barton, C.E., and Radhakrishnamurty, C., 1985, Correlation between Rayleigh loops and frequency-dependent susceptibility: application to magnetic granulometry of rocks: Journal of Geophysical Research, 90 (B10), 8789-8792.
  2. Brown, W.F., 1962, Magnetostatic principles in ferromagnetism: North-Holland.
  3. Chikazumi, S., and Charap, S.H., 1978, Physics of magnetism, Krieger.
  4. Clark, D.A., 1983, Magnetic properties of pyrrhotite: applications to geology and geophysics. M.Sc. thesis, University of Sydney.
  5. Clark, D.A., 1984, Hysteresis properties of sized dispersed monoclinic pyrrhotite grains: Geophysical Research Letters, 11, 173176.
  6. de Wall, H., 2000, The field dependence of AC susceptibility in titanomagnetites: implications for anisotropy of magnetic susceptibility: Geophysical Research Letters, 27(16), 2409-2411.
  7. de Wall, H. and Nano, L., 2004, The use of field dependence of magnetic susceptibility for monitoring variations in titanomagnetite composition - a case study on Basanites from the Vogelsberg 1996 drillhole, Germany: Studia Geophysica et Geodaetica, 48, 767776.
  8. Guerrero-Suarez, S., and Martin-Hernandez, F., 2012, Magnetic anisotropy of hematite natural crystals: increasing low-field strength experiments: International Journal of Earth Sciences, 101, 625-636.
  9. Hrouda, F., 2002, Low-field variation of magnetic susceptibility and its effect on the anisotropy of magnetic susceptibility of rocks: Geophysical Journal International, 150, 715-723.
  10. Hrouda, F., 2007, Anisotropy of magnetic susceptibility of rocks in the Rayleigh law region: modelling errors arising from linear fit to non-linear data: Studia Geophysica et Geodaetica, 51, 423-438.
  11. Hrouda, F., Chlupacova, M. and Pokorny, J., 2006, Low-field variation of magnetic susceptibility measured by the KLY-4S kappabridge and KLF-4A magnetic susceptibility meter: accuracy and interpretational programme: Studia Geophysica et Geodaetica, 50, 283-298.
  12. Jackson, M., Moskowitz, B., Rosenbaum, J. and Kissel, C., 1998. Field-dependence of AC susceptibility in titano-magnetites: Earth and Planetary Science Letters, 157, 129-139.
  13. Markert, H. and Lehmann, A., 1996, Three-dimensional Rayleigh hysteresis of oriented core samples from the German Continental Deep Drilling Program: susceptibility tensor, Rayleigh tensor, three-dimensional Rayleigh law: Geophysical Journal International, 127, 201-214.
  14. Martin-Hernandez. F, Dekkers, M.J., Bominaar-Silkens, I.M.A., and Maan, J.C., 2008, Magnetic anisotropy behaviour of pyrrhotite as determined by low- and high-field experiments. Geophysical Journal International, 174, 42-54.
  15. Neel, L., 1955, Some theoretical aspects of rock magnetism: Advances in Physics, 4(14), 191-243.
  16. Neel, L., 1988, Theory of Rayleigh’s Laws of Magnetization, in N.Kurti (Ed.), Selected works of Louis Neel, (English translation): Gordon and Breach Science Publishers, p.241-258.
  17. Radhakrishnamurty, C. and Sastry, N.P., 1970, A single domain grain model for the low field hysteresis loops of some basaltic rocks: Proceedings of the Indian Academy of Science, 72, 94-102.
  18. Rayleigh, Lord, 1882, The behaviour of iron and steel under the operation of feeble magnetic forces: Philosophical Magazine Series 5, 23, 225-245.
  19. Ridley, B.H. and Brown, H.E., 1980, The transformer bridge and magnetic susceptibility measurement: Exploration Geophysics, 11(3), 110-114.
  20. Vahle, C. and Kontny. A., 2005, The use of field dependence of AC susceptibility for the interpretation of magnetic mineralogy and magnetic fabrics in the HSDP-2 basalts, Hawaii: Earth and Planetary Science Letters, 238, 110-129.
  21. Worm, H.-U., 1991, Multidomain susceptibility and anomalously strong low field dependence of induced magnetization in pyrrhotite. Physics of the Earth and Planetary Interiors, 69, 112-118.
  22. Worm, H.-U., Clark, D., and Dekkers, M. J., 1993. Magnetic susceptibility of pyrrhotite: grain size, field and frequency dependence. Geophysical Journal International, 114, 127-137.
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  • Article Type: Research Article
Keyword(s): field-dependence; magnetic susceptibility; Rayleigh Law; self-demagnetisation
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