Analytical study of the post-closure behaviour of a deep tunnel in a porous creeping rock mass

Frédéric Deleruyelle; Tuan Anh Bui; Henry Wong; Nathalie Dufour; Duc Kien Tran; X.S. Zhang

doi:10.1016/j.crme.2016.05.003

Analytical study of the post-closure behaviour of a deep tunnel in a porous creeping rock mass

Frédéric Deleruyelle ¹ ; Tuan Anh Bui ² ; Henry Wong ² ; Nathalie Dufour ³ ; Duc Kien Tran ⁴ ; X.S. Zhang ⁵

¹ IRSN/PRP-DGE/SEDRAN/B4S, Fontenay-aux-Roses, France
² Université de Lyon, ENTPE/LGCB and LTDS UMR CNRS 5513, Vaulx-en-Velin, France
³ CEREMA – DTerMed, Aix-en-Provence, France
⁴ Université de Lyon, ECL/LTDS UMR CNRS 5513, Écully, France
⁵ Institute of Resources and Environment, North China University of Water Resources and Electric Power, Zhengzhou, China

Comptes Rendus. Mécanique, Volume 344 (2016) no. 9, pp. 649-660.

Résumé

The deferred behaviour of underground cavities is often encountered in geotechnical engineering. This paper presents an analytical approach for the post-closure behaviour of a deep tunnel inside a rock mass considering both creep and hydromechanical couplings. Creep, supposed slower than hydraulic flow, is described by a linear Norton–Hoff law in the particular case of an elastically incompressible rock mass (i.e. Poisson's ratio $ν = 0.5$ ). The resolution uses Laplace transform and Stehfest's algorithm. Numerical examples are carried out to enlighten the hydromechanical responses around the tunnel and to show the consistency of the solution.

Reçu le : 2015-12-15
Accepté le : 2016-05-19
Publié le : 2016-06-07

DOI : 10.1016/j.crme.2016.05.003

Mots-clés : Viscoplastic creep, Hydromechanical coupling, Analytical approach, Deep tunnel, Laplace transform, Stehfest's inversion

Affiliations des auteurs :

Frédéric Deleruyelle ¹ ; Tuan Anh Bui ² ; Henry Wong ² ; Nathalie Dufour ³ ; Duc Kien Tran ⁴ ; X.S. Zhang ⁵

¹ IRSN/PRP-DGE/SEDRAN/B4S, Fontenay-aux-Roses, France
² Université de Lyon, ENTPE/LGCB and LTDS UMR CNRS 5513, Vaulx-en-Velin, France
³ CEREMA – DTerMed, Aix-en-Provence, France
⁴ Université de Lyon, ECL/LTDS UMR CNRS 5513, Écully, France
⁵ Institute of Resources and Environment, North China University of Water Resources and Electric Power, Zhengzhou, China

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     author = {Fr\'ed\'eric Deleruyelle and Tuan Anh Bui and Henry Wong and Nathalie Dufour and Duc Kien Tran and X.S. Zhang},
     title = {Analytical study of the post-closure behaviour of a deep tunnel in a porous creeping rock mass},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {649--660},
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     doi = {10.1016/j.crme.2016.05.003},
     language = {en},
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Frédéric Deleruyelle; Tuan Anh Bui; Henry Wong; Nathalie Dufour; Duc Kien Tran; X.S. Zhang. Analytical study of the post-closure behaviour of a deep tunnel in a porous creeping rock mass. Comptes Rendus. Mécanique, Volume 344 (2016) no. 9, pp. 649-660. doi : 10.1016/j.crme.2016.05.003. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2016.05.003/

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