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Geoelectric modeling of local geodynamic sites in geotechnical control systems

DOI 10.18127/j19997493-201804-05


O.R. Kuzichkin – Dr.Sc.(Eng.), Professor, Department «Information and robotic systems», Belgorod State National Research University
A.V. Grecheneva – Post-graduate Student, Department «Mathematical and Software of information Systems», Belgorod State National Research University
M.D. Baknin – Post-graduate Student, Department «Information and robotic systems», Belgorod State National Research University
D.I. Surzhik – Ph.D.(Eng.), Associate Professor, Department «Management and control in technical systems», Vladimir State University named after A.&N. Stoletovs
N.V. Dorofeev – Ph.D.(Eng.), Associate Professor, Head of Department «Management and control in technical systems», Vladimir State University named after A.&N. Stoletovs

The article is devoted to the development of a geoelectric model of local geodynamic areas used in geotechnical control systems. The admissibility of using the approximation of the transfer functions of a geoelectrical section by equivalent fractional rational functions of a complex variable, physically realizable by discrete electrical circuits, taking into account equivalent equivalent circuits, is substantiated. To solve the problems of geodynamic control, the equivalence of the functions of the geoelectric section should ensure that the characteristics do not coincide on the entire infinite range of frequencies and spatial coordinates, but only on a limited segment. An equivalent circuit has been developed in the form of parallel-and-serially connected frequency-independent active and capacitive resistances, which allows replacement of the geological environment at a local point of geodynamic control. On the basis of this scheme and taking into account the properties of anisotropy and macropustability of the geological environment, basic relations were obtained for the electrical resistance tensor. Based on the obtained relationships and using the geoelectrical method of geodynamic control, the transfer function of the geoelectric profile was constructed, consisting of a set of discrete electrical circuits. A geoelectric model of the local geodynamic section in the form of a near-surface inhomogeneity was developed and its connection graph was constructed. The proposed model of a geoelectric section allows one to take into account the conditions of the multicomponent and macropacity of rocks, which is especially important when studying the effects of induced anisotropy when sharing seismoacoustic and electromagnetic methods of geodynamic control. The near-surface inhomogeneity is modeled as an additional grounding source that simulates a fictitious source of the anomalous geoelectric field based on the principle of reciprocity. When changing the position of the source of the electromagnetic field and the registration point relative to the geoelectric section being studied, the actual coefficients of the transfer function will change, without changing the order used in the approximation function. To test the adequacy of the developed mathematical model, a series of experiments was carried out on a full-scale model simulating the conduct of geodynamic control of near-surface inhomogeneities using a two-phase geoelectric installation. Experimental data confirm the fact that the result of numerical simulation adequately describes the characteristics of a real control object, presented as a model of a soil foundation, examined for near-surface inhomogeneities using a two-phase geoelectric installation. Thus, the analysis of changes in the coefficients in the transfer function of the geoelectric section of the developed geoelectric model made it possible to simplify the process of obtaining a geodynamic estimate of variations of local zones.


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