Submit an Article
Become a reviewer
Vol 147
Pages:
198-202
Download volume:
Research article
Without section

Mathematical modeling of physical processes in some problems of geomechanics

Authors:
A. P. Gospodarikov
V. V. Karpenko
G. A. Kolton
Date submitted:
2000-07-19
Date accepted:
2000-08-24
Date published:
2001-02-01

Abstract

Finite-difference and numerically analytical methods for solving dynamic and elastic-plastic problems of geomechanics are proposed. Using the finite difference method and on the basis of the principles of the mathematical modeling of physical processes the tensor components, which characterize the dynamic stress field in rocks around the vaulted excavation of the type under the oblique action of the stress wave on it, were determined. An iterative process, which allows calculating the components of the stress tensor and the velocity of the plastic flow of rocks around mine workings at great depths, is designed with the help of numerical analytical method. Reliability and validity of the method is confirmed by comparing the obtained calculations with the results of solutions found by other authors and experimental data.

Go to volume 147

References

  1. Боровиков В. А. Волны напряжений в обводненном трещиноватом массиве / В.А.Боровиков, И.Ф.Ванягин, М.Г.Менжулин, С.В.Цирель / СПГГИ. СПб, 1989.
  2. Годунов С. К. Численное решение многомерных задач газовой динамики / С.К.Годунов, А.В.Забродин и др. М.: Наука, 1976.
  3. Господариков А.П. Численно-аналитический метод моделирования напряженного состояния нелинейно-упругого неоднородного массива при разработке пологих пластовых месторождений // Наука в Санкт-Петербургском государственном горном институте (техническом университете): Научные сообщения / СПГГИ. СПб, 1999.
  4. Кочин Н.Е. Теоретическая гидромеханика / Н.Е.Кочин, И.А.Кибель, Н.В.Розе. М.: Физматгиз, 1963.4.1,2.
  5. Красносельский М.А. Приближенное решение операторных уравнений / М.А.Красносельский, Г.М.Вайникко, П.П.Забрейко и др. М. Наука, 1969.
  6. Новожилов В В. Теория упругости. Л. Судпромгиз, 1958.

Similar articles

Extraction of rare metals and radionuclides from lean raw materials and soils
2001 D. E. Chirkst, T. E. Litvinova, O. V. Cheremisina
Modeling of process equipment and process control systems of industrial furnaces for metal production
2001 A. A. Galnbek, I. N. Beloglazov, K. P. Vlasov, O. A. Dubovikov, O. V. Zaryanova, T. F. Vyrubova, A. Yu. Firsov, Z. M. Turinskii, E. A. Ivanov, E. D. Kadyrov, A. S. Anashkin, M. A. Lastochkina, I. Yu. Milovidova, V. O. Golubev, G. G. Klimentenok, A. M. Bondarchuk, A. A. Orishchuk, N. N. Maksimets, I. A. Spichak
Strategy and evaluation of the effectiveness of mineral complex enterprises in market conditions
2001 L. I. Iseeva
Utilization of carbon-bearing waste from the coal and timber industries
2001 Yu. V. Shuvalov, Yu. A. Nifontov, T. I. Nifontova, A. A. Benin
Improving the efficiency of safe operation of railway tunnels in severe climatic conditions
2001 S. G. Gendler, V. V. Smirnyakov, R. P. Terentev
Research and development in the field of complex processing of non-ferrous metal ores
2001 V. M. Sizyakov