Modeling electrical dispersion phenomena in Earth materials
Main Article Content
Abstract
It is illustrated that IP phenomena in rocks can be described using conductivity dispersion models deduced as
solutions to a 2nd-order linear differential equation describing the motion of a charged particle immersed in an
external electrical field. Five dispersion laws are discussed, namely: the non-resonant positive IP model, which
leads to the classical Debye-type dispersion law and by extension to the Cole-Cole model, largely used in current
practice; the non-resonant negative IP model, which allows negative chargeability values, known in metals
at high frequencies, to be explained as an intrinsic physical property of earth materials in specific field cases; the
resonant flat, positive or negative IP models, which can explain the presence of peak effects at specific frequencies
superimposed on flat, positive or negative dispersion spectra.
solutions to a 2nd-order linear differential equation describing the motion of a charged particle immersed in an
external electrical field. Five dispersion laws are discussed, namely: the non-resonant positive IP model, which
leads to the classical Debye-type dispersion law and by extension to the Cole-Cole model, largely used in current
practice; the non-resonant negative IP model, which allows negative chargeability values, known in metals
at high frequencies, to be explained as an intrinsic physical property of earth materials in specific field cases; the
resonant flat, positive or negative IP models, which can explain the presence of peak effects at specific frequencies
superimposed on flat, positive or negative dispersion spectra.
Article Details
How to Cite
Patella, D. (2008) “Modeling electrical dispersion phenomena in Earth materials”, Annals of Geophysics, 51(1). doi: 10.4401/ag-3041.
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