References
V. D. Mazurov, Committee Method for Problems of Optimization and Classification [in Russian], Nauka, Moscow (1990).
M. A. Sadovskii, L. G. Bolkhovitinov, and V. F. Pisarenko, "On the property of rock discreteness," Izv. Akad. Nauk SSSR, Fiz. Zemli, No. 12, (1982).
N. Martin and J. England, Mathematical Theory of Entropy [Russian translation], Mir, Moscow (1988).
E. S. Svetov, Theoretical-informational bases of geophysical methods, Mathematical Methods and Automated Systems in geology. Review Information [in Russian], Nos. 3 and 4, Geoinformark, Moscow (1992).
S. M. Korotaev, Causal analysis and its use for the processing and interpretation of data derived from marine electromagnetic investigations, Dissertation for Doctor of Physical and Mathematical Sciences, Moscow (1992).
I. M. Gel’fand and B. M. Levitan, "Determination of a differential equation with respect to its spectral function," Izv. Akad. Nauk SSSR, Ser. Mat.,15, (1951).
M. A. Naimark, Linear Differential Operators [in Russian], Nauka, Moscow (1969).
S. M. Korotaev, On the possibility of the nonsymmetric statistical analysis of geophysical fields, Electromagnetic Induction in the Ocean [in Russian], Institut Zemnogo Magnetizna, Ionosfery i Rasprostraneniya Radiovoln Akademii Nauk SSSR, (1990).
O. A. Khachai, S. M. Korotaev, and N. Yu. Kharlamova, Use of causal analysis for development of processes associated with natural catastrophies, Theoretical and Practical Electromagnetic Methods of Geophysical Investigation [in Russian], Ural’skoe Otdelenie, Rossiiskaya Akademiya Nauk, Ekaterinburg (1992).
O. A. Khachai, "Use of methods of mathematical entropy to investigate the interrelation between nonlinear stochastic processes of dynamic systems," Vulkanol. Seismol., No. 5, (1993).
Yu. N. Shupletsov, "Estimating the compression moduilus of a rock mass from results of mine measurements," Fiz.-Tekh. Probl. Razrab. Polezn. Iskop., No. 1, (1990).
Additional information
Geophysics Institute; and, Mining Institute, Ural Division of the Russian Academy of Sciences, Ekaterinburg. Translated from Fiziko-Tekhnicheskie Problemy Razrabotki Poleznykh Iskopaemykh, No. 1, pp. 47–53, January–February, 1998.
Rights and permissions
About this article
Cite this article
Khachai, O.A., Shupletsov, Y.P. Use of methods of the mathematical theory of entropy for analysis of temporary processes in a stressed deformable medium. J Min Sci 34, 38–42 (1998). https://doi.org/10.1007/BF02765523
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02765523