EFFECTIVE COEFFICIENTS OF QUASI-STATIONARY MAXWELL EQUATIONS WITH MULTISCALE RANDOM INHOMOGENEOUS ELECTROCONDUCTIVITY

Abstract

Large-scale details of a medium structure, for example, large blocks and easily distinguished layers, can be described in a model designed for mathematical modeling in the theory of electromagnetic sounding. Small-scale details of the medium can hardly be described, but they should be taken into account within the statistical approach using effective coefficients. Fractal theory is one of the most rapidly developing theories for investigating natural objects and phenomena. There is experience in applying the theory of fractals to geoelectric problems. Such an approach requires the application of a complex geometrical language and, as a rule, large computational resources.