Mathematical model of mine vertical opening stability

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Authors:

V.P. Rachkovsky, Cand. Sci. (Tech.), Private Higher Educational Institution «European University», Senior Lecturerof the Department of Mathematical Sciences and Information Systems, Rivne, Ukraine

Abstract:

Purpose. To calculate the resistance of the massif around the mine working during development of diamond deposits.

Methodology. By the method of mathematical modeling we have determined the stability of the equilibrium state of the bottom of stope in vertical opening located in kimberlite rock taking into account the equilibrium of the infinite space of the cavity under the load at a depth of 1000 meters.

Findings. We have created themodel of the cylindrical vertical opening stability and determined appearance of local critical pressure in the surrounding massif during its deformation. The system of diamond deposits mining with ore shrinkage in mined-out spaces.

Originality. We have created a combination of axisymmetric computational model blocks of stress state of the cylindrical stope with axial compression and external pressure determining the stability of the kimberlite rock.

Practical value. We have developed the methodology of substantiation of geotechnology parameters of mining of Ukrainian kimberlite deposits and guidelines for assessment of technologic parameters of stopes in kimberlite pipes.

 

References:

1. Рачковський В.П. Спосіб розробки родовищ корисних копалин з використанням свердловин великого діаметру [Текст] /В.П. Рачковський // Науковий вісник НГУ. – 2009. – №3. – С. 6–11.

Rachkovsky, V.P. (2009), “Methodof development of mineral deposits using large diameter wells”, Naukovyi visnyk Natsionalnoho hirnychoho universytetu, no.3, pp. 6–11.

2. Особливості розподілу важких металів у техногенних розсипах / С.Р. Боблях, В.П. Рачковський [та ін.] // Зб. наук. пр. Вісник НУВГП. – 2006. – № 1(37). – С. 232–237.

Boblyakh, S.R. and Rachkovsky, V.P. (2006), “Distribution of heavy metals in technogenic placers”, Visnyk of NUVGP, no.1(37), pp. 232–237.

3. Шашенко А.Н. Деформованість та міцність масивів гірських порід / Шашенко А.Н., Сдвижкова Е.А., Гапеев С.Н.; монографія. – Дніпропетровськ: Національний гірничий університет, 2008. – 224 с. – Рос. мовою.

Shashenko, A.N, Sdvizhkova, Ye.A. and Hapeiev, S.N.(2008), Deformovanist ta mitsnist masyviv hirskyh porid [Deformability and Strength of Rocks], Monograph, National Mining University, Dnipropetrovsk, Ukraine.

4. Соболев В.В. Фізика гірських порід: Навчальний посібник для вузів / Соболев В.В., Скобенко О.В., Іванчишин С.Я.– Дніпропетровськ: 2003. – 255 с.

Sobolev, V.V., Skobenko, O.V. and Ivanchyshyn, S.Ya. (2003), Fizyka hirskykh porid [Physics of Rocks] Textbook, Dnepropetrovsk, Ukraine.

5. Королев В.А. Термодинамика грунтов / Королев В.А. – М.: Изд-во МГУ, 1997. – 236 с.

Korolev, V.A. (1997), Termodinamika gruntov [Thermodynamics of Soil], Izdatelstvo MGU, Moscow, Russia.

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ISSN (print) 2071-2227,
ISSN (online) 2223-2362.
Journal was registered by Ministry of Justice of Ukraine.
Registration number КВ No.17742-6592PR dated April 27, 2011.

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