Investigation of the stress state of layered medium with liquid inclusion

Authors

  • Pavlova A.V. Kuban State University, Krasnodar, Российская Федерация
  • Rubtsov S.E. Kuban State University, Krasnodar, Российская Федерация
  • Telyatnikov I.S. Southern Scientific Center, Russian Academy of Science, Rostov-on-Don, Российская Федерация
  • Zaretskaya M.V. Kuban State University, Krasnodar, Российская Федерация

UDC

539.422.3

Abstract

In the process of studying regional seismicity and development of methods for assessing the induced or technogenic seismicity, there may arise problems of geomechanics, geophysics, hydrogeology, engineering geology, resulting in the need of constructing mathematical models of structurally inhomogeneous mediums, and study of different dynamic effects in the contacting liquid and elastic mediums on their basis. Expediency of consideration of the piecewise heterogeneous mediums can be justified by the structure of real objects as well as by the convenience of the respective discretization of inhomogeneous medium. In this paper, we consider a model of the geological environment, consisting of two elastic mediums (layer and half-space) with liquid layer between them. Water-filled cavities in the rock formations after pumping out hydrocarbon raw materials and geological medium containing interstratal non-pressure waters can be modeled by similar structures. Movement of fluid outlets, described by the velocity potential, satisfies the wave equation. The interaction of the liquid and elastic mediums is defined by the equality of vertical components of fluid outlets velocity and the elastic medium in the contact zone. The shear stresses at the interface of liquid and elastic medium are absent. Displacements of elastic mediums satisfy the equations of Lame. Displacement amplitudes satisfy the conditions of the principle of limiting absorption. The proposed algorithm allows to determine the contact stresses at the interface between the liquid and elastic mediums and to investigate the properties of generated displacement field.

Keywords:

geomechanics, stress-strain state, fault-block structure, heterogeneity, heterogeneous inclusions

Acknowledgement

Работа выполнена при финансовой поддержке РФФИ (16-08-00191_а, 16-41-230184).

Author Infos

Alla V. Pavlova

д-р физ.-мат. наук, профессор кафедры математического моделирования Кубанского государственного университета

e-mail: pavlova@math.kubsu.ru

Sergey E. Rubtsov

канд. физ.-мат. наук, доцент кафедры математического моделирования Кубанского государственного университета

e-mail: kmm@fpm.kubsu.ru

Ilya S. Telyatnikov

канд. физ.-мат. наук, младший научный сотрудник Южного научного центра РАН

e-mail: ilux_t@list.ru

Marina V. Zaretskaya

д-р физ.-мат. наук, профессор кафедры интеллектуальных информационных систем Кубанского государственного университета

e-mail: zarmv@mail.ru

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Issue

2016. No. 1

Pages

71-78

Submitted

2016-02-26

Published

2016-03-22

How to Cite

Pavlova A.V., Rubtsov S.E., Telyatnikov I.S., Zaretskaya M.V. Investigation of the stress state of layered medium with liquid inclusion. Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation, 2016, no. 1, pp. 71-78. (In Russian)

Copyright (c) 2016 Pavlova A.V., Rubtsov S.E., Telyatnikov I.S., Zaretskaya M.V.

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