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Analogy between electric parameters of inhomogeneous media and geometrical characteristics of the fractal line

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Abstract

Analogy is established between the surface impedance modulus, frequency, and skin depth of inhomogeneous media on the one hand and the fractal line length, measurement scale, and the number of measurement scales required for measuring length, respectively, on the other hand. This analogy makes it possible to obtain frequency characteristics of the skin layer and the surface impedance modulus independently from other methods. The frequency characteristics satisfactorily describe sedimentary and crystalline rocks in a wide frequency range.

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References

  1. B. B. Mandelbrot, The Fractal Geometry of Nature (Freeman, San-Francisco, 1982; Inst. Komp’yut. Issled., Moscow, 2002).

    MATH  Google Scholar 

  2. J. Feder, Fractals (Plenum, New York, 1988; Mir, Moscow, 1991).

    MATH  Google Scholar 

  3. V. K. Balkhanov and Yu. B. Bashkuev, Zh. Eksp. Teor. Fiz. 137, 1 (2010) [JETP 110, 469 (2010)].

    Google Scholar 

  4. V. K. Balkhanov, V. R. Advokatov, and Yu. B. Bashkuev, Zh. Tekh. Fiz. 80(2), 146 (2010) [Tech. Phys. 55, 303 (2010)].

    Google Scholar 

  5. V. K. Balkhanov, Yu. B. Bashkuev, and L. Kh. Angarkhaeva, Elektromagn. Volny Elektron. Sist., No. 4, 45 (2009).

  6. V. K. Balkhanov and Yu. B. Bashkuev, Elektromagn. Volny Elektron. Sist., No. 6, 39 (2006).

  7. Fractals in Physics: Proceedings of the 6th International Symposium on Fractals in Physics, ICTP, Trieste, Italy, 1985 (Mir, Moscow, 1988).

  8. S. Liu, T. Kaplan, and P. Grei, in Fractals in Physics: Proceedings of the 6th International Symposium on Fractals in Physics, ICTP, Trieste, Italy, 1985 (Mir, Moscow, 1988), pp. 543–552.

    Google Scholar 

  9. L. F. Richardson, Gen. Syst. Yeardbook 6, 139 (1961).

    Google Scholar 

  10. V. K. Balkhanov and Yu. B. Bashkuev, Foundations of the Theory of Surface-Impedance Method (BNTs SO RAN, Ulan-Ude, 2005), p. 100 [in Russian].

    Google Scholar 

  11. Yu. B. Bashkuev, V. B. Khaptanov, Ch. Ts. Tsydypov, and D. G. Buyanova, Earth Electromagnetic Field in Transbaikalia (Nauka, Moscow, 1989) [in Russian].

    Google Scholar 

  12. Yu. B. Bashkuev, Electrical Properties of Natural Stratified Media (SO RAN, Novosibirsk, 1996) [in Russian].

    Google Scholar 

  13. V. N. Fadeev and V. I. Pospeev, in Acceleration of Scientific Technical Progress by Geophysical Research in Eastern Siberia (VS NIIGGiMS, Irkutsk, 1989), pp. 73–75 [in Russian].

    Google Scholar 

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Correspondence to V. K. Balkhanov.

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Original Russian Text © V.K. Balkhanov, Yu.B. Bashkuev, 2011, published in Zhurnal Tekhnicheskoĭ Fiziki, 2011, Vol. 81, No. 5, pp. 149–152.

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Balkhanov, V.K., Bashkuev, Y.B. Analogy between electric parameters of inhomogeneous media and geometrical characteristics of the fractal line. Tech. Phys. 56, 736–739 (2011). https://doi.org/10.1134/S1063784211050069

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