Dielectric logging is used in oil and gas exploration for estimating the hydrocarbon content of the reservoir and rock texture. This information is essential for making decisions on development and production of reservoirs. This paper looks at using dielectric dispersive behavior of formation and how it can be related to widely used parameters of Archie's law in petro-physics.

In dielectric logging, the electromagnetic properties, permittivity and conductivity of the formation are obtained over a frequency range. These properties exhibit a variation with respect to frequency, which is called dispersion. The dispersive behavior of formation as a whole is different from that of its constituents; water, oil and dry rock. This dispersive data can be used to obtain various petrophysical properties like water saturation, water resistivity and rock texture. Alternatively, Archie's law is widely used to relate the resistivity of formation to the resistivity of water, porosity and water saturation. The so-called Archie parameters, cementation and saturation constants, are widely used in petrophysics.

This paper discusses a novel approach that uses the dielectric dispersive behavior of a formation to provide a link to parameters of Archie's law. There exist many mixing laws that predict the dielectric dispersive behavior of a rock as a mixture of water, oil and dry rock. The proposed approach can be applied to any mixing law to provide parameters of Archie's law.

Detailed derivation of the Archie's parameters from known dispersive laws is provided through examples. The method is applied to published data on dispersive behavior of sample rocks and its prediction of Archie's parameters is compared with the values obtained from experiment. The proposed method is capable of relating textural parameters of rock used in mixing laws to Archie's parameters.

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