On the role of the J-E constitutive relationship in applied geoelectromagnetism

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D. Patella

Abstract

In current applications of the Induced Polarization (IP) method, the Debye and Cole-Cole models are used to study
relaxation and dispersion properties of rocks, though it is believed that this type of modelisation is confused and
vague, because of the lack of a background physical description. In this paper, we show that the Debye model
can physically be deduced as a consequence of the electrodynamic behaviour of a mixture of bound and unbound
charged particles immersed in an external electric field. We also clarify that the Cole-Cole model is a synthetic
model, which can physically be explained as a continuous distribution of Debye terms.

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How to Cite
Patella, D. (2003) “On the role of the J-E constitutive relationship in applied geoelectromagnetism”, Annals of Geophysics, 46(3). doi: 10.4401/ag-3430.
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