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

Geodynamics and gas release from mined-out space in the Vorkuta coal mines
2001 Yu. V. Shuvalov, I. A. Pavlova, V. N. Bobrovnikov, M. M. Popov, A. P. Veselov
Causes of rock deformations on the contours of mine workings under the action of blast waves
2001 A. G. Protosenya, V. V. Karpenko, Yu. N. Ogorodnikov, O. V. Kolosova
Improvement of prospective technologies for mineral deposit mining
2001 V. P. Zubov, Yu. D. Dyadkin, O. V. Kovalev, N. I. Slyusarev, S. V. Vasilev
A new approach to the processing of seismic materials by the refracted wave method
2001 A. N. Telegin
Development of technology for preparation of water-coal suspensions for combustion in furnaces of steam boilers and combustion chambers of gas-turbine plants
2001 V. I. Aleksandrov
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