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Vol 163
Pages:
164-167
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On one method of calculating the stressed state of the rock massif during the development of reservoir deposits

Authors:
A. P. Gospodarikov1
V. V. Ivakin2
O. E. Karpukhina3
M. A. Kereichuk4
About authors
  • 1 — G.V. Plekhanov Saint Petersburg Mining Institute
  • 2 — G.V. Plekhanov Saint Petersburg Mining Institute
  • 3 — G.V. Plekhanov Saint Petersburg Mining Institute
  • 4 — G.V. Plekhanov Saint Petersburg Mining Institute
Date submitted:
2004-10-29
Date accepted:
2004-11-03
Date published:
2005-05-01

Abstract

A numerical and analytical method for solving nonlinear geomechanics problems has been developed. This method is based on the combination of the Vlasov variational method, the Newton-Kantorovich linearization method and the method of general iterative process. The physical nonlinearity of the rock deformation process is considered in the framework of the main hypotheses of small elastic and plastic deformation Genki-Ilyushin.

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References

  1. Власов В.З. Балки, плиты и оболочки на упругом основании / В.З.Власов, Н.Н.Леонтьев. М.: Физматгиз, 1960. 491 с.
  2. Господариков А.П. Метод расчета нелинейных задач механики горных пород при подземной разработке пластовых месторождений / Санкт-Петербургский горный ин-т. СПб, 1999. 127 с.
  3. Ильюшин А.А. Пластичность. М.: Гостехиздат, 1948. 376 с.
  4. Красносельский М.А. Приближенное решение операторных уравнений. М.: Наука, 1969. 456 с.
  5. Сборник статей «Теория пластичности». М., Л., 1948. 452 с.

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