MATHEMATICAL MODELING OF ANISOTROPIC MEDIA IMPEDANCE FOR AN INHOMOGENEOUS PLANE WAVE

The article shows that for the anisotropic properties of the earth's crust, for example, in areas with a strong cover of sedimentary strata, the main role is played by the anisotropy coefficient Λ. Hence, the impedance of the electric wave type depends on the anisotropy coefficient Λ. Since the impedance is a complex value, then the real and imaginary parts can be distinguished in the impedance. This dependence, i.e. the numerical analysis of the impedance of the magnetic type, has shown that in anisotropic media the impedances are parametrically dependent on the anisotropy coefficient; a mathematical experi- ment was performed to study the sensitivity of the impedance of an unusual wave depending on the parameters of the medium and the wave.

1. Смагулов Е. Ж. (1992) Математическое моделирование магнитотеллурических полей в анизотропных средах. Автореферат на соискание ученой степени кандидата физико-математических наук. Алматы. 16 с.

2. Смагулов Е. Ж., Жиембаев Ж. Т., Смагулов Б. Е.,Уразова М. С., Байзакова А. (2017) Сведение системы уравнений Максвелла к каноническому виду // Вестник ЖГУ имени И.Жансугурова. Талдыкорган. C.46-49.

3. Смагулов Е. Ж., Смагулов Б. Е., Тулымшакова Г. К., Адильбаева А. М. (2017) Сведение системы уравнений Максвелла к гиперболической системе // Вестник ЖГУ имени И.Жансугурова. Талдыкорган C.49-52.

4. de Bazelaire, C., de Bazelaire, E.; Perroud, H. (2000) Analytical inversion of a stack of weakly anisotropic layers // Anisotropy 2000: Fractures, Converted Waves and Case Studies – P.163-201 - DOI: 10.1190/1.9781560801771.ch9 - 9th International Workshop on Seismic Anisotropy (9IWSA). Houston, TX. Mar 26-31.

5. Sainath, K., Teixeira, F. L. (2014) Tensor Green's function evaluation in arbitrarily anisotropic, layered media using complex-plane Gauss-Laguerre quadrature// Physical Review E - DOI: 10.1103/PhysRevE.89.053303 – May 8 .

6. Liu, S.F., Zhang, Z.C., Li, S., Liang, B. (2018) Investigation of comb-type pulse forming line with low impedance// Review of Scientific Instruments - DOI: 10.1063/1.5049797.

7. Shuai, Q., Tang, J. (2015) Direct compensation of lift-off oscillation effect in magnetic impedance-based damage detection// Journal of Intelligent Material Systems and Structures – P.2351-2361 - DOI: 10.1177/1045389X14554137