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Mathematical modeling patterns of distribution mehanoelektromahnitnyh waves in porous solids in the presence of an external electric field
Tvardovska Sofija R.
Center of Mathematical Modelling within Ya. S. Pidstryh
Молодший науковий співробітник
The cycle of scientific papers consists of 16 scientific papers that have been published over 7 years. To practice research of the natural objects, influence of electric field on the transverse waves is inconsequential. The most significant is the impact of longitudinal electric field to distribution of the longitudinal mechanoelektromagnetic wave. In this works, is studied the influence of an external electric field on the process of propagation of the mechanoelektromagnetic waves in the porous environment saturated by electrolyte solution.The main stages are construction of analytical numerical models of propagation of the mehanoelektromagnetic waves in the porous media under the action of an external electric field; development of adaptive algorithms and methods for solving tasks of the mechanoelektromagnetic mechanics. Is considered the propagation of the mehanoelktromagneticwaves in the porous environment saturated by the electrolyte solution. On the basis of electromagnetic equations of mechanics are written dispersion equations for longitudinal and transverse waves.Is established that in the presence of an external electric field arises their mutual interaction, that indicates about an effective anisotropy of the environment ,caused by the field.The system of equations of the electromagnetic mechanics is recorded with using of the fractional Kaputto derivatives. The particular cases of constructing a system of equations for finding of the wave numbers of the plane mechanoelektromagnetic waves are considered. It is established that the dependence of phase velocity and attenuation coefficients of the structural parameters of porous bodies can be used for determining of these parameters.The research results are important for the development of researches seismoelektrical of the Earth crust and respectively for finding the depth of occurrence of minerals. The obtained results in the work, are theoretical basis for solving problems of the electromagnetic mechanics about the propagation of the plane mechanoelektromagnetic waves in the complex porous structures, saturated by solution of electrolyte and in using of solutions defined boundary of mathematical physics problem for finding of the information content and reliability of the data interpretation of the seismoelektric methods. The results of research are stated in 7 papers (in particular, 2 in foreign journals, one of those is in Scopus), 9 materials of reports.
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, 2023