Abstract
The method of vertical electrical sounding is applied to derive the spatial characteristic of the dc resistivity ρ of a living pine trunk, ρ = L-0.85, and the frequency characteristic of the ac resistance R of the same pine trunk, R = f-0.053. The results are simulated by the methods of fractal geometry, according to which ρ = L −h + 2 and \( R \sim f^{ - \tfrac{3} {h} + 1} \), where h is the walk dimension of the electric current in the trunk. From comparison between the experimental and theoretical results, it follows that h = 2.85 and fractal dimension D = 1/h = 0.35. Since D = 1, conducting layers form a Cantor set.
References
B. B. Mandelbrot Fractal Geometry of Nature (Freeman, New York, 1982; Inst. Komp’yut. Issled., Moscow, 2002).
J. Feder, Fractals (Plenum, New York, 1988; Mir, Moscow, 1991).
M. S. Zhdanov, Geoelectrical Prospecting (Nedra, Moscow, 1986) [in Russian].
Yu. B. Shaub and S. K. Shaub, Electrometry for Ecological and Biophysical Investigations (Nauka, Moscow, 1992) [in Russian].
V. K. Balkhanov and Yu. B. Bashkuev, Elektromagn. Volny Elektron. Sist., No. 6, 39 (2006).
V. K. Balkhanov, Yu. B. Bashkuev, V. P. Kozlov, and V. A. Mullayarov, Zh. Tekh. Fiz. 79 (1), 152 (2009) [Tech. Phys. 54, 151 (2009)].
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © V.K. Balkhanov, V.R. Advokatov, Yu.B. Bashkuev, 2010, published in Zhurnal Tekhnicheskoǐ Fiziki, 2010, Vol. 80, No. 2, pp. 146–148.
Rights and permissions
About this article
Cite this article
Balkhanov, V.K., Advokatov, V.R. & Bashkuev, Y.B. Frequency and spatial characteristics of the electrophysical parameters of a living tree trunk. Tech. Phys. 55, 303–305 (2010). https://doi.org/10.1134/S1063784210020234
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063784210020234