Numerical modeling of dynamics of temperature and dielectric parameters of source rock under microwave heating

Results of physical and mathematical modeling of temperature distribution in an oil source rock sample under single-sided microwave irradiation are presented. A method for indirect determination of the dependence of dielectric properties of a sample on temperature using experimental data on temperature dynamics during electromagnetic heating has been developed and tested. The method consists in solving an inverse problem to establish the temperature dependence of the absorption coefficient of an electromagnetic wave, which depends on dielectric properties. Two variations of the model were created. In one of them, the absorption coefficient was assumed to be constant and homogeneous, and its value was obtained by validating the model by experimental data. The second takes into account the dependence of the absorption coefficient on temperature, the mathematical form of which was determined by solving the inverse problem. Comparison of experimental data with the results of the implementation of these models showed an increase in their quantitative convergence when using the developed method.