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Coarsely discrete fractal structure of geological medium and challenges in tectonophysical modeling

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Abstract

Analysis of nonlinear processes of tectonic fracturing reveals a fundamental problem of physical modeling of dislocations and stresses in the Earth’s crust. A structure assigned in experiments and simulating the appearance and development of dislocations does not have the self-organized coarsely discrete fractal structure of the natural geological environment, i.e., self-similarity between units, into which it is divided. A fractal structure initially assigned would produce an extremely unstable modeling result, whose probability of similarity with one actually occurring among those theoretically possible tends to zero.

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Authors and Affiliations

  1. Department of Dynamic Geology, Faculty of Geology, Moscow State University, Moscow, 119991, Russia

    A. A. Naimark

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  1. A. A. Naimark
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Correspondence to A. A. Naimark.

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Original Russian Text © A.A. Naimark, 2009, published in Vestnik Moskovskogo Universiteta. Geologiya, 2009, No. 5, pp. 3–11.

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Naimark, A.A. Coarsely discrete fractal structure of geological medium and challenges in tectonophysical modeling. Moscow Univ. Geol. Bull. 64, 273–280 (2009). https://doi.org/10.3103/S0145875209050019

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