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Euradwaste '08 - EU Bookshop - Europa

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Figure 1 depicts stress strain curves in relation to deformation induced changes of the volumetric<br />

strain and permeability from the various strength tests on Opalinus clay with different loading directions.<br />

Despite the limited number of tests the rock-mechanical test results clearly document that<br />

the strength of Opalinus Clay is sensitive to minimal stress and the stress direction related to the<br />

bedding. In this context it has to be mentioned that detection of initial micro crack-opening in indurated<br />

clay under lab conditions depends mainly on the sensitivity of the measured physical parameter<br />

because during triaxial loading an overall matrix compaction of the clay rock occurs.<br />

Under deviatoric conditions local initial crack opening at 50 – 60% of the failure stress is only indicated<br />

by velocity decrease of radially measured p-waves or s-waves (oscillation direction to crack<br />

planes, compare [2]). Primary at around 90% of the failure stress an increase of volumetric strain<br />

was observed associated with a permeability increase. In consequence, two pronounced stress<br />

boundaries have to be considered representing different stages of damage:<br />

initial damage � 0.5 - 0.6 * peak , respectively dilatancy 0.8 - 0.9 * peak<br />

Rock matrix<br />

(Visco-)elasto-plastic model<br />

it describes as a function of elasto/plastic strain :<br />

60<br />

• hardening<br />

⎛ σMax − σ ⎞ D<br />

50<br />

σ1= σD+<br />

⎜<br />

⎜1<br />

+<br />

⎟ σ 3<br />

σ ϕ + σ ⎟<br />

⎝<br />

3 ⎠<br />

• softening / failure<br />

40<br />

• dilatancy<br />

⋅<br />

(Visco-)elasto-plastic model<br />

it describes as a function of elasto/plastic strain :<br />

60<br />

• hardening<br />

⎛ σMax − σ ⎞ D<br />

50<br />

σ1= σD+<br />

⎜<br />

⎜1<br />

+<br />

⎟ σ 3<br />

σ ϕ + σ ⎟<br />

⎝<br />

3 ⎠<br />

• softening / failure<br />

40<br />

• dilatancy<br />

⋅<br />

Axial stress σ 1 ( MPa )<br />

Volumetric strain V/V ( % )<br />

30<br />

0% plast. strain<br />

0,04% plast. strain<br />

0,1% plast. strain<br />

0,24 plast. strain<br />

20<br />

0,4% plast strain<br />

ε p ( % ) 0,00 0,04 0,10 0,24 0,40<br />

10<br />

σ D ( MPa )<br />

σ φ ( MPa MPa )<br />

10,5<br />

5,0<br />

8,6<br />

5,0<br />

6,0<br />

5,0<br />

2,0<br />

5,0<br />

0,0<br />

5,0<br />

0<br />

σ Max ( MPa ) 55,0 48,0 43,0 38,0 35,0<br />

0 5 10 15 20<br />

2,5<br />

2,0<br />

1,5<br />

1,0<br />

0,5<br />

Confining pressure σ 3 ( MPa MPa )<br />

εp εp ( % ) 0,00 0,04 0,10 0,24 0,4<br />

σ ψ ( MPa ) 3,2 3,1 2,9 2,5 2,0<br />

tan β° 0,15 0,3 0,5 1,0 2,0<br />

0% plast. strain<br />

0,04% plast. strain<br />

0,1% plast. strain<br />

0,24 plast. strain<br />

0,4% plast strain<br />

0,0<br />

0 5 10 15 20<br />

Confining pressure σ 3 ( MPa )<br />

Bedding plane properties<br />

Extended Minkley shear model<br />

it describes the behaviour of weakeness planes<br />

on the basis of: μ K = kinetic friction<br />

Δμ = adhesive friction<br />

τ adhesion = μ K ( 1 + Δ μ ) ⋅ σ N + c<br />

c = cohesion<br />

Numerical modeling of clay rocks as<br />

„discrete material“ using UDEC: The<br />

bedding planes are treated as discontinuities<br />

between blocks (matrix)<br />

479<br />

τ<br />

Shear stress ( MPa )<br />

σ N<br />

Normal stress<br />

σ Ν = 10 MPa<br />

Shear displacement ( mm )<br />

Medium 1<br />

Medium 2<br />

Figure 2. The new modelling approach based on matrix and bedding plane properties. (centre) the<br />

reference case: a specific drift situation at the Mont Terri site with the relevant deformation styles,<br />

i.e. extensional failure and bedding plane slip in the roof respectively brittle failure in the wall. (left<br />

side) the MINKLEY-elasto-plastic constitutive model for the rock matrix (parameter curves of the experimental<br />

data); (right side) the new developed MINKLEY-shear model for describing bedding<br />

plane properties. The inset shows the numerical simulation of a shear test. For details of the used<br />

models see [1].<br />

3.2 Modelling of the EDZ around a specific drift situation at Mont Terri<br />

With respect of a prognosis of the EDZ a new modelling approach has been developed based on the<br />

obtained experimental results (Fig. 2). It consists of two parts, i.e. of the MINKLEY-(visco-)elastoplastic<br />

constitutive model comprising the hardening/softening behaviour and dilatancy effects of the<br />

rock mass and a specific shear friction model, which describes displacement- and velocity-

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