Numerical calculation of the rock permittivity using micro computerized tomography image

• Numerical calculation using FDM of the mixture dielectric constant is conducted.
• Micro CT images of rock samples are obtained.
• The frequency is at 1.1 GHz for the permittivity calculation.
• Comparison of the simulation with the measurement is presented.
• Less than 3% errors are obtained.

A numerical evaluation of the permittivity of sandstones through the micro computerized tomography (micro CT) images at 1.1 GHz is conducted by using an image porosity extracting algorithm and an improved Finite Difference Method (FDM). Within the acquired physical properties by 3D micro CT scanning, numerical method is used to compute the permittivity of the rock samples. A resonant cavity is used for experimental measurement. The simulated results of 2 clastic sandstone samples with dry state and saturated state are compared with experimental data for validating the accuracy of the proposed numerical method. The results show great agreement and the error of permittivity evaluation is less than 3%.