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Architecture and management of a geological repository - Andra

Architecture and management of a geological repository - Andra

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5 – Repository ModulesGeotechnical hypotheses adoptedThe instantaneous behaviour <strong>of</strong> argillites can be modelled using an elastoplastic law with theappearance <strong>of</strong> irreversible plastic deformation before rupture. Dimensioning calculations do notrequire taking this complex behaviour into account; simplifications according to st<strong>and</strong>ard engineeringpractice are accepted for these. Argillites in particular are treated as being elastic until peak resistance,then as behaving in a perfectly plastic way after rupture. The adopted characteristics, deduced fromlaboratory tests by adopting the lower limits <strong>of</strong> the results obtained (20% quartile) are as follows:- Simple compressive strength <strong>of</strong> the rock mass (Rc): 12 MPa- Cohesion: 4.5 MPa- Internal angle <strong>of</strong> friction: 25°- Young’s modulus: 3,800 MPaThe choice <strong>of</strong> this behaviour model (elastic - perfect plastic) with minimum properties, leads to amaximizing evaluation <strong>of</strong> the stresses on the ground support <strong>and</strong> lining.The deferred behaviour <strong>of</strong> the argillites subject to an anisotropic stress is <strong>of</strong> the viscoplastic type,which means that the rock is deformed slowly when subjected to this stress. In order to beconservative, no minimum stress value that might halt this deferred deformation has been introduced:the rock is therefore assumed to deform until it reaches an isotropic stress state. The viscoplastic lawadopted is <strong>of</strong> the Lemaître type. The characteristics assigned to this law, resulting from theconservative extrapolation <strong>of</strong> laboratory tests, lead to predicting relatively high deferred deformationsfor this kind <strong>of</strong> rock (<strong>of</strong> the order <strong>of</strong> 1.2% deferred convergence for an unlined tunnel over 100 years).The favourable effect <strong>of</strong> the desaturation <strong>of</strong> the rock in the vicinity <strong>of</strong> the cell, which slows down thedeferred deformations <strong>and</strong> improves the mechanical characteristics <strong>of</strong> the rock, was not taken intoaccount, whereas this phenomenon could emerge not only before the closure <strong>of</strong> the cell, but also overseveral centuries after 71 .The initial stresses are assumed to be isotropic in the plane perpendicular to the cells, with a naturalstress in situ <strong>of</strong> 12 MPa at 500 m depth.Calculation principle <strong>and</strong> dimensioning criteriaIn order to take into account the uncertainties in estimating the stresses to which the structure issubject <strong>and</strong> regarding the characteristics <strong>of</strong> the materials employed, the method used is thatrecommended by regulations such as the Eurocode [45].. This method uses safety factors for takinginto account the uncertainties in estimating the stresses exerted on the structure to be dimensioned <strong>and</strong>regarding the characteristics <strong>of</strong> the materials used.Two kinds <strong>of</strong> numerical calculations were performed: finite element calculations, which can be used totake into account the detailed geometry <strong>of</strong> the structure, <strong>and</strong>, as a check <strong>and</strong> for sensitivity studies,calculations by the conventional convergence-confinement method 72 , which is a simplified approachapplicable to a structure <strong>of</strong> circular cross-section.The concrete strengths taken into account were chosen cautiously, taking the ageing <strong>of</strong> the concreteinto consideration, as is normally done, through the use <strong>of</strong> safety factors defined by st<strong>and</strong>ardengineering practice. In fact, the concrete <strong>of</strong> a cell is subject to a physical <strong>and</strong> chemical environmentmore favourable than the concretes considered in establishing st<strong>and</strong>ard practice, which are subject tobad weather conditions <strong>and</strong> seasonal variations <strong>of</strong> temperature.7172The rock is desaturated for several tens <strong>of</strong> centimetres under the effect <strong>of</strong> ventilation. Resaturation occurs after ventilation stops. Thisresaturation is very slow due to the very low permeability <strong>of</strong> the argillite.The convergence-confinement method uses the force-deformation curves <strong>of</strong> the lining (or <strong>of</strong> the ground support) <strong>and</strong> the terrain. Theequilibrium <strong>of</strong> the lining-terrain system is found at the intersection <strong>of</strong> these two curves.DOSSIER 2005 ARGILE -ARCHITECTURE AND MANAGEMENT OF A GEOLOGICAL DISPOSAL SYSTEM178/495

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