PSI - Issue 32

ScienceDirect Available online at www.sciencedirect.com ScienceDir ct Structural Integrity Procedia 00 (2021) 000–000 Available online at www.sciencedirect.com ScienceDirect Structural Integrity Procedia 00 (2021) 000–000 Available online at www.sciencedirect.com

www.elsevier.com/locate/procedia www.elsevier.com/locate/procedia

Procedia Structural Integrity 32 (2021) 238–245

© 2021 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of the scientific committee of the XXIIth Winter School on Continuous Media Mechanics” Abstract In the study a thermo-hydro-mechanical model of freezing of saturated soil is presented, with focus on numerical simulation of artificial ground freezing (AGF). Artificial freezing of saturated soils induces such process in the soils as water migration, frost heave and consolidation which can have an effect on the freezing process and surrounding areas. To take into account the important from geotechnical point of view processes the thermo-hydro-mechanical model was developed. The model is based on the fundamental balance equations of continuum media mechanics. The Clausius-Clapeyron equation and constitutive relations of poromechanics are used for describing a relationship between pore pressure, temperature, stress and strain fields. Also an inelastic strain is included accounting for an effect of frost heave. The equations of the model were implemented in Comsol Multiphysics® software and solved using the finite element method relative to variables of porosity temperature and displacement. Numerical simulation of artificial freezing of a soil stratum for a vertical shaft sinking was carried out. A mesh convergence of numerical solution was analyzed. Results of the simulation have shown the model enables to describe a frozen wall formation with a coupled change of porosity, water pore pressure, volumetric strain and mean stress. © 2021 The Authors. Published by ELSEVIER B.V. This is an open access article under the CC BY-NC-ND license ( https://creativecommons.org/licenses/by-nc-nd/4.0 ) Peer-review under responsibility of the scientific committee of the XXIIth Winter School on Continuous Media Mechanics” Keywords: AGF; vertical shaft sinking; frost heave; THM modelling 1. Introduction A research of artificial freezing of saturated soils is largely caused by interests of underground engineering. To construct tunnels and mine shafts under hard hydrogeological conditions some activities for soil reinforcement have XXIIth Winter School on Continuous Media Mechanics Numerical simulation of artificial freezing of soils accounting for thermo-hydro-mechanical effects M. Zhelnin, A. Kostina, O. Plekhov* Institute of continuous media mechanics of the Ural branch of Russian academy of science, Ac.Koroleva st.,1, Perm, 614013, Russia Abstract In the study a thermo-hydro-mechanical model of freezing of saturated soil is presented, with focus on numerical simulation of artificial ground f eezing (AGF). Artificial fr ezing of saturated soils induces such process in the soils as water migration, frost heave nd c nsolidatio which can have an eff ct on the freezing pr cess and surrounding areas. To take into account the importan from geotechnical p i t of view processes the thermo-hydro-mechanical model was developed. The model is based on the undam ntal bal nce equations of continuum media ec anics. The Clausius-Clapeyron equation and constitutive relati s of poromechanics are us d for de cribing a relationship betwee pore pr ssure, temperature, stress and strain fields. Also an inelastic strain is included accounting for an effect of fr st eav . The equation of the odel were implemented Com ol Multiphysics® oftware and solved using the finit element met od relative to variables of p rosity t mperatur an displacement. Numerical imul tion of artificial freezing of a soil stratum f r a vertical shaft sinking was carried out. A mesh converg nc of n olution was analyzed. R sults of the imulation have shown the model enables to describe a frozen wall formation with a coupled change of porosit , water pore pressure, volumetric strain a d mean stress. © 2021 The Authors. Publish d by ELSEVIER B.V. This is an open access article under the CC BY-NC-ND license ( https://creativecommons.org/licenses/by-nc-nd/4.0 ) Peer-review under re ponsibility of scientific committe of the XXIIth Winter School on Continuous Media Mechanics” Keywords: AGF; vertical shaft sinking; frost heave; THM odelling 1. Introduction A research of artificial freezing of saturated soils is largely caused by interests of underground engineering. To const uct tunnels nd mine shafts under ha d hydrogeologica conditions som ac ivities for soil reinforcement have XXIIth Winter School on Continuous Media Mechanics Numerical simulation of artificial freezing of soils accounting for thermo-hydro-mechanical effects M. Zhelnin, A. Kostina, O. Plekhov* Institute of continuous media mechanics of the Ural branch of Russian academy of science, Ac.Koroleva st.,1, Perm, 614013, Russia

* Corresponding author. Tel.: +7-342-237-8317; fax: +7-342-237-8487. E-mail address: poa@icmm.ru * Corresponding author. Tel.: +7-342-237-8317; fax: +7-342-237-8487. E-mail address: poa@icmm.ru

2452-3216 © 2021 The Authors. Published by ELSEVIER B.V. This is an open access article under the CC BY-NC-ND license ( https://creativecommons.org/licenses/by-nc-nd/4.0 ) Peer-review under responsibility of the scientific committee of the XXIIth Winter School on Continuous Media Mechanics” 2452-3216 © 2021 The Authors. Published by ELSEVIER B.V. This is an open access article under the CC BY-NC-ND license ( https://creativecommons.org/licenses/by-nc-nd/4.0 ) Peer-review under responsibility of the scientific committee of the XXIIth Winter School on Continuous Media Mechanics”

2452-3216 © 2021 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of the scientific committee of the XXIIth Winter School on Continuous Media Mechanics” 10.1016/j.prostr.2021.09.034

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