A new empirical complex electrical resistivity model

A new empirical complex electrical resistivity model

Kavian, M.
Slob, E.C.
Mulder, W.A.

Civil Engineering and Geosciences

Geoscience & Engineering

2012-04-11

Macroscopic measurements of electrical resistivity require frequency-dependent effective models that honor the microscopic effects observable in macroscopic measurements. Effective models based on microscopic physics exist alongside with empirical models. We adopted an empirical model approach to modify an existing physical model. This provided a description of electrical resistivity as a function of not only frequency, but also water saturation. We performed two-electrode laboratory measurements of the complex resistivity on a number of fine and medium-grained unconsolidated sand packs saturated with water of three different salinities. For frequencies between 0.1 and 1 MHz, the data were fitted with the new model and compared to fits with Archie’s law. Our model described the relaxation times and DC resistivity values as negative exponential functions with increasing water saturation. All data could be accurately described as a function of frequency and water saturation with nine parameters.

http://resolver.tudelft.nl/uuid:c1f3a182-aa46-4347-8160-77eb88ee4657

https://doi.org/10.1190/GEO2011-0315.1

Society of Exploration Geophysicists

0016-8033

Geophysics, 77 (3), 2012

Institutional Repository

journal article

(c) 2012 Society of Exploration Geophysicists