Построение подсистемы АСУ "Страж" по обнаружению эволюционирующих пустот в условиях карьера
Journal Title: Математичне моделювання - Year 2016, Vol 1, Issue 2
Abstract
BUILDING AUTOMATION SUBSYSTEM "GUARDIAN" TO DETECT EVOLVING VOIDS IN A CAREER Smolyan P.S., Kozikova T.C. Abstract Search void of technogenic and natural character is an urgent task of geophysics. Linked to this is an increasing danger of a catastrophic collapse of the intensive mining both underground and open pit, especially near the abandoned or existing mine workings or quarries. The most significant risk in this case the voids are evolving, that is voids, which change their position in space and size over time. Unfortunately, at the present stage of development of geophysics there is no simple and reliable way to solve the problem of diagnosing the presence and location in space evolving voids. One promising solution to this problem is gravimetric methods. Gravimetric methods are based on the theory of inverse ill-posed problems. These problems usually can be reduced to the solution of integral equations of the first kind with respect to the physical characteristics of the object, in this case the density of the medium. Solution classical gravimetry problem leads to multidimensional integral equations of the first kind for the unknown density function of spatially distributed sources of gravitational anomalies. In turn, the solution of the integral equation for the density distribution with acceptable accuracy for practical purposes, even for a simplified environment is almost an impossible task for modern technology and gravimetric methods, except for special cases. Therefore, the paper proposes a simplified and adapted way to solve this kind of problem. The article gives examples of mathematical modeling of the subsystem "Guardian" to identify evolving voids. Conclusions. 1. Implementation of the subsystem "Guardian" will increase the probability of detecting the presence of voids evolving even in the early stages of their evolution, and to obtain the necessary information for the localization of voids, to determine their quantitative parameters with a high degree of reliability. 2. This information can be used effectively while minimizing the amount of expensive wells of diagnostic for detecting evolving voids. References [1] Sazonov VA Geophysical surveying in the case. / Sazonov VA, DI Sosikov – M .: Nedra, 1989. – 120 p. [2] Gravity. Directory geophysics / [ed. Mudretsova EA]. – M .: Nedra, 1990. – 608 p. [3] Tikhonov Methods for solving ill-posed problems / Tikhonov, AA Samara – M .: Nauka, 1986 – 288 p. [4] Verlan AF Integral equations: methods, algorithms, software / Verlan AF Sizikov VS – K .: Naukova Dumka, 1986. – 544 p. [5] Kozikova ETC. An adaptive method for solving the inverse gravity problem for a two-component medium / Kozikova TP, PS Smolyanskii – Math modeling. – 2013. №1 (28). With 35–39. [6] PS Smolyanskii A study of mathematical methods for solving the gravity problem to locate voids / Smolyanskii PS, TP Kozikova –Vіsnik Kremenchutskogo natsіonalnogo unіversitetu. – 2013. – №4 (81) .– With 69–75. [7] Starostenko VI Robust numerical methods in problems of gravimetry / Starostenko VI – K .: Naukova Dumka, 1978. – 228 p. [8] FP Vasilyev Numerical methods for solving extreme problems / FP Vasilyev – M .: Nauka, 1980 – 520 p. [9] Malovichko AK, Kostitsyn VI Gravity // Malovichko AK, Kostitsyn V.I.– M .: Nedra, 1992. – 357 p. [10] Kozikova ETC. Numerical methods for evolving localization of voids / – Kozikova TP, PS Smolyanskii News Kremenchutskogo natsіonalnogo unіversitetu, 2015. – 1 Key infrastructure (90). – Part 1. – S. 43–50.
Authors and Affiliations
П. С. Смолянский, Т. П. Козикова
Keywords
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