Calculation of a Radial Inhomogeneous Rock Mass with a Spherical Cavity under the Influence of Thermal Field

DOI

10.2991/iceesd-18.2018.87How to use a DOI?

Keywords

radial inhomogeneity, thermal field, rock mass, spherical cavity, numerical analytic solution.

Abstract

The problem considered is that of calculating the stress-strain behavior of a rock mass in the vicinity of a spherical cavity, taking into account the radial inhomogeneity of the rock mass material. The solution takes into account the technological inhomogeneity of the soil and the inhomogeneity caused by the influence of the thermal field. The axially symmetric problem of determining the stresses and displacements was solved with a joint action of an asymmetric load (ground reaction) and hyper-thermal fields on the rock mass. Similar problems tend to arise during the creation of underground cavities and their exploitation for storing various self-heating products. To solve the initial simultaneous equations in displacements, the Fourier series of Legendre polynomials were used. Then by the separation of variables the problem was reduced to 2 ordinary differential simultaneous equations with variable coefficients, which can be solved numerically.

Copyright

© 2018, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Irina I. Frolova
PY  - 2018/05
DA  - 2018/05
TI  - Calculation of a Radial Inhomogeneous Rock Mass with a Spherical Cavity under the Influence of Thermal Field
BT  - Proceedings of the 2018 7th International Conference on Energy, Environment and Sustainable Development (ICEESD 2018)
PB  - Atlantis Press
SP  - 482
EP  - 486
SN  - 2352-5401
UR  - https://doi.org/10.2991/iceesd-18.2018.87
DO  - 10.2991/iceesd-18.2018.87
ID  - Frolova2018/05
ER  -