1887
Volume 12 Number 5
  • ISSN: 1569-4445
  • E-ISSN: 1873-0604

Abstract

ABSTRACT

We present a mathematical approach for analysing magnetic susceptibility measurements in terms of elementary contributions from different depths within the soil. Our analysis leads to a compact integral formula that relates the actual measurements to the depth profile of magnetic susceptibility within the soil, in such a way that the former is simply a weighted spatial average of the latter. The degree of penetration of a given measurement is then readily quantified by the weighting function of the corresponding instrument. Our results match and complement the experimental determinations of other workers to currently used susceptibility meters. We provide theoretical curves for the depth of penetration of four instruments that have been studied in the literature, and also refine previous estimations of the characteristic depths intrinsic to each instrument.

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2014-01-01
2024-04-25
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  • Article Type: Research Article

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