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Numerical Evaluation of Electrical Properties of Rocks

Micro CT is a promising technology in substituting the core measurement and analysis due to the huge promising advantages on stake. After all, having a future possibility to obtain the micro constituents of rocks, starting with lithology and morphology, in digital form provides tremendous flexibility in core analysis and measurement. This flexibility gives enough room to decipher and quantify the physics behind acoustic, electric… responses. The hope is that the technology will provide all of that at high resolution with minimal human error and no alteration of initial scanned core properties at a cheaper cost.
Current mixing laws and effective medium approximations used in interpreting dielectric measurements obtained from logging tools and cores do not illustrate the actual petro-physical relationship between the behavioral reality of the formation and the measured data. As a result, interpretation of the measurements do not extend any further beyond the fitting of the unknown parameters of the mixing laws to the measured data, without any incites on the physical and chemical players.

In this study, we will be targeting the computation of the dielectric constant of core plugs at 1.1 GHz. The computational approach will be contributing towards building a robust numerical code that allows the evaluation of homogeneous and heterogeneous rock formations. The code will be used to isolate and examine the initial exact physical-geometrical parameters contributing to the measured behavior of the dielectric constant at 1.1 GHz. That will be done for brine solutions with fairly low salinity thus eliminating the dispersion due to the ion movement. As a result, the problem under study is reduced to the geometrical effect on dielectrics, allowing the examining of the true accuracy of the Hanai Brugmann equation and the CRIM law for high frequencies. Finally, the accuracy of the numerical calculation will be validated with measurement done on the scanned plug using a TM010 resonant cavity built at the Well Logging Lab.