DIAGNOSTICS OF THE SHAPE AND ORIENTATION OF A ROCK FAILURE ZONE BASED ON ELECTRICAL MEASUREMENTS AS AN INVERSE PROBLEM OF GEOPHYSICS
D.Yu. Sirota, V.V. Ivanov
T.F. Gorbachev Kuzbass State Technical University, ul. Vesennyaya 28, Kemerovo, 650000, Russia
Keywords: Exploration geophysics, diagnostic problem, interpretation of geophysical data, rock burst, integral equation of the first kind, inverse ill-posed problem, Tikhonov regularization method
Abstract
Exploration geophysics is concerned with the development of methods and techniques for remote search for mineral deposits, solution of various engineering and geological problems, mining monitoring, and diagnostics of zones of rock bursts and natural and technogenic tectonic earthquakes. In this paper we consider the diagnostic problem of exploration geophysics related to the determination of the shape and inclination angle of a plane source of the natural geoelectric field, which, under certain conditions, simulates a rock failure zone, e.g., during the preparation of rock bursts at the sites of developed mineral deposits. This approach may also be useful in determining the shape and size of ore shoots by electrical measurements on the ground surface. Evaluation of the parameters of a rock failure zone is required in the case of accumulation of multiple fractures having charges of the same sign before a catastrophic failure. This problem is formulated as a Fredholm-Urysohn integral equation of the first kind. The solution of the integral equation is sought using the Tikhonov regularization method of the second order.
|
