Математичне моделювання розподілу корисних копалин між системою нерегулярно розміщених похилих свердловин методами глобальної інтерлінації функцій
Abstract
Building methods of three-demensional minerals distribution model on the base of minerals distribution at the every value of given system of inclined boreholes information and three variable functions interlineations methods are proposed in the article. Building methods of three variable functions interlineations formulae with using of Donald Shepard and Oleg N. Litvin global interpolation formulae generalization are presented. Properties of built math models and perspectives of their using for mineral exploration are investigated. This building method of math models of three-dimensional distribution of minerals between inclined boreholes allows, after appropriate generalization, build math models of earth crust structure with using of all core components of inclined boreholes, which will lead to effective mineral exploration and prospecting methods creation. Using information for such math modeling type is more accessible and easy in comparison with information getting by seismic tomography methods. At the same time it allows present mineral distribution at deposit place in the form of three variable single functions. It open ups possibilities for exploration of new prospecting methods.
References
Litvin O. M., Litvin O. О., Shtepa N. І., Chorna O. S., 2011. «Math modeling of minerals distribution between inclined boreholes by method of polynomial splay-interlineations of functions ». Work materіal of ІІ Ukrainian scientific and practical conference “Informatics and system sciences” ІSN-2011. Poltava: RVV PUЄT, March 17-19, p. 355 (in ukrainian)
Litvin O. M., Litvin O. О., Shtepa N.І., Chorna O. S., 2012. «Math modeling of space earth crust minerals distribution with a help of information from core holes and surface distribution information». Work materіal of ІІI Ukrainian scientific and practical conference “Informatics and system sciences” ІSN-2012, Poltava: RVV PUЄT March 1-3, p.179-181 (in ukrainian)
Litvin O. M., Litvin O. О., Shtepa N.І., Chorna O. S., 2011. «Math modeling of minerals distribution between inclined boreholes by method of polynomial interlineations of functions». Work materials of International youth mathematical school «Optimizing computing questions (POO-XXXVII)», Kyїv: Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine, p- 94. (in ukrainian)
Korneichuk N.P., 1984. Spline in approximation theory. – M.:Science,. – p. 352 (in russian)
Litvin O. M. 2011Math modeling of minerals distribution by method of interlineations of functions and interflatation of functions / N. І. Shtepa, O. O. Litvin. – Kyiv.: Scientific thought,. – 228p. (in ukrainian)
Lytvyn O. M., Nella I. Shtepa, 2009. Mathematical modeling of minerals distribution with the help of functions of three variables”, Proceedings of the international Symposium on computing optimization (vet-XXXV): Crimea, Alushta. Katsiveli, 24-29 September 2009. Part 2; Kiev, p. 20-24. (in ukrainian)
Lytvyn O. N., 1988. Interpolation of functions: Tutorial. Kyiv: UMК VО, p. 31. (in russian)
Oleg M. Lytvyn, 2002. Interlineation of the functions and some of its applications. Kharkiv: Osnova, p. 544. (in ukrainian)
Litvin O.M., 2005. Computing methods. Additional sections. Kyiv: Science thought, p. 331 (in ukrainian)
Litvin O.O., Shtepa N.І., Kulik C. І., Chorna O. S. 2013. «Math modeling of minerals distribution between system of irregularly placed inclined boreholes by method of splayinterlineations of functions», Kharkіv: Magazine “Engineering problems”. Vol. 16, # 1. p. 61-63 (in ukrainian)
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