Integration of Transverse Isotropy in the Instantaneous Behaviour of Geomaterials with Application to Numerical Modellin
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ORIGINAL PAPER
Integration of Transverse Isotropy in the Instantaneous Behaviour of Geomaterials with Application to Numerical Modelling of Underground Structures Ine`s Djouadi . Richard Giot . Simon Raude . Sam Cuvilliez . Franc¸ois Laigle . Rome´o Fernandes
Received: 22 September 2019 / Accepted: 30 April 2020 Springer Nature Switzerland AG 2020
Abstract The paper deals with the integration of structural anisotropy in a pre-existing constitutive law for rocks, dedicated to the numerical modelling of underground structures. On the basis of bibliographic study, two approaches were selected and applied to a simple constitutive law to begin with, namely the Drucker–Prager model. The two appraoches considered are the fabric tensor approach and the weakness plane approach. Both approaches are described, the equations are provided and the resulting anisotropic models are implemented in the open source finite element software (Code_Aster in EDF R&D code ge´ne´ral pour l’e´tude du comportement me´canique des structures diffuse´ sous licence GNU GPL, 2017). The models are then applied to the simplified numerical modelling of an underground facility and the main results are provided. The main advantages and drawbacks of both approaches are highlighted. The main findings of this work is that the fabric tensor approach is the most fitted for the material considered for the
I. Djouadi S. Raude S. Cuvilliez R. Fernandes EDF R&D, IMSIA, Palaiseau, France e-mail: [email protected] R. Giot (&) IC2MP, UMR 7285, CNRS, ENSI Poitiers, Universite´ de Poitiers, Poitiers, France e-mail: [email protected] F. Laigle EDF CIH, Le Bourget-du-Lac, France
future prospects. The future prospects are the integration of anisotropy in a much more complex isotropic model being developed by EDF research team for application to geomaterials. Keywords Numerical modelling Transverse isotropy Geomaterial Fabric tensor Weakness plane
1 Introduction Within the framework of CIGEO project (French Industrial Center of Geological Storage) and the radioactive waste management in France, the deep geological storage has been chosen as a long term solution. Indeed, the waste packages will be buried into an argillaceous layer located around 420 m and 550 m deep, in the East of France between Meuse and Haute-Marne (Armand et al. 2017a). This Callovo– Oxfordian (COx) claystone has been chosen for its ability to contain radionuclides. Thus, to be able to engineer and optimize an underground facility that would last a significant time while ensuring its integrity, it is essential to understand and control the rock behaviour. To that end, an underground research laboratory has been built since 2000 and allows in-situ experiments. It has been demonstrated (Niandou et al. 1997) that claystone has an anisotropic behaviour due to its geological formation. This anisotropy is
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Geotech Geol Eng
characterised by bedding planes which lead to loading direction dependencies. More specifically, se
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