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Rock Mechanics and Rock Engineering

, Volume 52, Issue 10, pp 3889–3907 | Cite as

Thermo-Hydro-Mechanical Modeling of Artificial Ground Freezing: Application in Mining Engineering

  • H. TounsiEmail author
  • A. Rouabhi
  • M. Tijani
  • F. Guérin
Original Paper
  • 390 Downloads

Abstract

For decades, artificial ground freezing (AGF) has been used as a temporary soil stabilization and waterproofing technique in multiple geotechnical engineering applications. Experience gained from AGF experiments indicates that the pore water expansion during freezing and the resulting pressure have the potential to induce ground movements in adjacent nonfrozen areas. This process was investigated in this paper using a comprehensive set of in situ temperature and displacement monitoring data collected in the Cigar Lake underground mine, Canada. The data set allowed to investigate the mechanical impact of freezing on a mine tunnel and prompted the need to derive a fully coupled thermo-hydro-mechanical model to predict ground temperature and displacements. Thermodynamically consistent, the model developed for this study is based on a macroscopic continuum approach and uses simplifying assumptions to overcome the computational difficulties associated with the modeling of complex mining environments over a long period of time. This model was used to perform three-dimensional finite-element simulations of the ground freezing and excavation activities in the Cigar Lake mine, showing good agreement with field measurements.

Keywords

Artificial ground freezing In situ measurements THM modeling 3D finite-element simulations 

List of Symbols

\(\rho ^{\!\!\;\alpha }\)

Apparent density of phase \(\alpha\)

\(\rho _{\!\!\;\alpha }\)

Density of phase \(\alpha\)

\(\nu _{\!\!\;\alpha }\)

Specific volume of phase \(\alpha\)

\(C_{p\alpha }\)

Heat capacity at constant pressure of phase \(\alpha\)

\(\rho C_{p}\)

Volumetric heat capacity

\({\varLambda }_{\!\!\;\alpha }\)

Thermal conductivity of phase \(\alpha\)

\(\varDelta h\)

Latent heat of phase change

\(L_ {\lambda \gamma }\)

Latent heat of phase change on the coexistence curve

\(\varLambda\)

Thermal conductivity

\(k_0\)

Intrinsic permeability

\(k_{\text {r}}\)

Relative permeability of phase \(\lambda\)

\({\varvec{V}}\)

Filtration velocity of phase \(\lambda\)

\({\varvec{\psi }}\)

Conductive heat flux vector

\(h_{\!\!\;\alpha }\)

Specific enthalpy of phase \(\alpha\)

\(g_{\!\!\;\alpha }\)

Specific Gibbs free energy of phase \(\alpha\)

n

Porosity

\(n_{\!\!\;\alpha }\)

Volume fraction of phase \(\alpha\)

\(S_{\lambda }\)

Liquid saturation degree

T

Temperature

\(T_ {\lambda \gamma }\)

Temperature at thermodynamic equilibrium between \(\lambda\) and \(\gamma\)

\(T_0\)

Coexistence temperature at reference pressure

\(p_0\)

Reference pressure

\(p_{\!\!\;\alpha }\)

Pressure of phase \(\alpha\)

\(p_ {\lambda \gamma }\)

Pressure at thermodynamic equilibrium between \(\lambda\) and \(\gamma\)

\(p_{\text {c}}\)

Capillary pressure

p

Equivalent pore pressure

\({\varvec{1}}\)

Second-order unit tensor

\({\varvec{\sigma }}\)

Stress tensor

\({\varvec{\varepsilon }}\)

Strain tensor

\({\varvec{u}}\)

Displacement vector

\(\varepsilon _{\text {v}}\)

Volumetric strain

K

Drained bulk modulus

\(K_{\!\!\;\sigma }\)

Bulk modulus of solid phase \(\sigma\)

E

Young’s modulus

\(E_0\)

Young’s modulus of the material in the nonfrozen state

\(E_{\text {f}}\)

Young’s modulus of the material in the fully frozen state

\(\nu\)

Poisson coefficient

Subscripts or superscripts (\(\alpha\))

\(\sigma\)

Solid phase

\(\lambda\)

Liquid water

\(\gamma\)

Ice

Notes

Acknowledgements

This research was financially supported by Orano. The authors thank the Cameco Corporation for providing information on the use of artificial ground freezing in the Cigar Lake uranium ore deposit and for allowing this paper to be published.

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Copyright information

© Springer-Verlag GmbH Austria, part of Springer Nature 2019

Authors and Affiliations

  1. 1.MINES ParisTech, PSL Research University, Centre de GéosciencesFontainebleauFrance
  2. 2.ORANOCourbevoieFrance

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