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

D. Patella


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.


rock electrodynamics;induced polarization;impedivity models

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DOI: https://doi.org/10.4401/ag-3430
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Published by INGV, Istituto Nazionale di Geofisica e Vulcanologia - ISSN: 2037-416X