Influence of bedding planes to EDZ-evolution and the ... - Andra
Influence of bedding planes to EDZ-evolution and the ... - Andra
Influence of bedding planes to EDZ-evolution and the ... - Andra
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P/<strong>EDZ</strong>/1<br />
Rock matrix<br />
(Visco-)elas<strong>to</strong>-plastic material model<br />
it describes as afunction <strong>of</strong> <strong>the</strong> plastic strain :<br />
Axial stress σ 1 (MPa )<br />
Volumetric strain V/V (%)<br />
60,0<br />
40,0<br />
30,0<br />
20,0<br />
10,0<br />
St<strong>of</strong>fansatz :<br />
Minkley, W.; Menzel, W.; Konietzky, H.;<br />
te Kamp, L.(2001)<br />
Figure 1: Our modelling approach <strong>to</strong> describe <strong>the</strong> mechanical <strong>evolution</strong> <strong>of</strong> <strong>the</strong> <strong>EDZ</strong> for aspecific drift<br />
situation at <strong>the</strong> Mont Terri site.<br />
damage) <strong>and</strong> hydraulical properties seems unlikely. Gas-transport is controlled by two-phase flow. In<br />
addition, aunique permeability /porosity relationship is not available.<br />
Finally, asshown inFigure 1,anew modelling approach ispresented consisting <strong>of</strong> two parts, i.e. <strong>of</strong> a<br />
(visco-)elas<strong>to</strong>-plastic constitutive model, comprising <strong>the</strong> hardening/s<strong>of</strong>tening behaviour <strong>and</strong> dilatancy<br />
effects <strong>of</strong> <strong>the</strong> rock mass, <strong>and</strong> aspecific friction model, which described displacement- <strong>and</strong> velocitydependent<br />
shear strength s<strong>of</strong>tening for <strong>the</strong> <strong>bedding</strong> <strong>planes</strong> (Minkley &Mühlbauer, 2007). Using our sitespecific<br />
material parameters, <strong>EDZ</strong> phenomena for alocal drift situation in <strong>the</strong> Mont Terri lab could be<br />
nicely simulated.<br />
However, literature results reveal alarge scattering <strong>of</strong> mechanical strength date <strong>of</strong>indurated clay, e.g. from<br />
<strong>the</strong> Mont Terri Site, which isattributed besides o<strong>the</strong>rs mainly <strong>to</strong><strong>the</strong> possible influence <strong>of</strong>pore pressures<br />
or de-saturation. From <strong>the</strong> experimental point <strong>of</strong> view <strong>the</strong> knowledge regarding coupling between<br />
mechanical (e.g. damage) <strong>and</strong> hydraulical properties is not sufficient i.e. <strong>the</strong> effective Biot-coefficient is<br />
unknown. Preliminary tests with application <strong>of</strong> pore pressures demonstrate <strong>the</strong> difficulty ensuring stable<br />
conditions in short term tests due <strong>to</strong> <strong>the</strong> low rock permeability. This implies that more experimental work<br />
is necessary <strong>to</strong> quantify <strong>the</strong> respective parameters <strong>and</strong> processes.<br />
References:<br />
Popp, T.&Salzer, K., 2006. Anisotropy <strong>of</strong> seismic <strong>and</strong> mechanical properties <strong>of</strong> Opalinus clay during<br />
triaxial deformation in amulti-anvil apparatus. Proceedings International Symposium: "Using Natural<br />
<strong>and</strong> Engineered Clay-based Barriers for <strong>the</strong> Containment <strong>of</strong> Radioactive Waste ",Tours, 14-18 March<br />
2005. Physics <strong>and</strong> Chemistry <strong>of</strong> <strong>the</strong> Earth, Parts A/B/C, available online 6Oc<strong>to</strong>ber 2006.<br />
Minkley, W.&Mühlbauer, J., 2007. Constitutive models <strong>to</strong>describe <strong>the</strong> mechanical behavior <strong>of</strong> salt rocks<br />
<strong>and</strong> <strong>the</strong> imbedded weakness <strong>planes</strong>. In Proc. 6th Conference on<strong>the</strong> Mechanical Behaviour <strong>of</strong> Salt,<br />
Hannover, 22-25 May 2007, in press. Rotterdam: Balkema.<br />
Page 522<br />
⎛<br />
50,0<br />
σ Max − σ ⎞ D<br />
σ1= σ D + ⎜ 1 +<br />
⎟ σ 3<br />
⎝ σ ϕ + σ<br />
⎟<br />
3 ⎠<br />
⋅<br />
⎛<br />
50,0<br />
σ Max − σ ⎞ D<br />
σ1= σ D + ⎜ 1 +<br />
⎟ σ 3<br />
⎝ σ ϕ + σ<br />
⎟<br />
3 ⎠<br />
⋅<br />
⎛<br />
50,0<br />
σ Max − σ ⎞ D<br />
σ1= σ D + ⎜ 1 +<br />
⎟ σ 3<br />
⎝ σ ϕ + σ<br />
⎟<br />
3 ⎠<br />
⋅<br />
0% plast. Verformung<br />
0,04% plast. Verformung<br />
0,1% plast. Verformung<br />
0,24 plast. Verformung<br />
0,4% plast Verformung<br />
ε p (%) 0,00 0,04 0,10 0,24 0,40<br />
σ D (MPa ) 10,5 8,6 6,0 2,0 0,0<br />
σ φ (MPa (MPa (MPa ) 5,0 5,0 5,0 5,0 5,0<br />
σ Max (MPa ) 55,0 48,0 43,0 38,0 35,0<br />
0,0<br />
0 2 4 6 8 10 12 14 16 18 20<br />
2,5<br />
2,0<br />
1,5<br />
1,0<br />
0,5<br />
Confining stress σ 3 (MPa )<br />
ε p (%) 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 2 4 6 8 10 12 14 16 18 20<br />
Confining pressure σ 3 (MPa )<br />
• hardening<br />
• s<strong>of</strong>tening<br />
• dilatancy<br />
⇒ Implementation<br />
<strong>of</strong> pore pressures ?<br />
(Konietzky, 2001)<br />
Bedding plane properties<br />
Newdeveloped shear model<br />
<strong>to</strong> describe <strong>the</strong> behaviour <strong>of</strong>weakeness <strong>planes</strong><br />
on <strong>the</strong> basis <strong>of</strong>:<br />
τ = μ 1 + Δ μ ⋅ σ +<br />
μ K<br />
adhesion<br />
=kinetic friction<br />
Δμ =adhesive friction<br />
c =cohesion<br />
K<br />
( ) c<br />
τ<br />
Shear stress (MPa )<br />
INTERNATIONAL MEETING, SEPTEMBER 17...>...18, 2007, LILLE, FRANCE<br />
CLAYS IN NATURAL &ENGINEERED BARRIERS<br />
FOR RADIOACTIVE WASTE CONFINEMENT<br />
N<br />
σ N<br />
Normal Normal stress<br />
stress<br />
σ σ Ν Ν = = 10 10 MPa<br />
MPa<br />
Shear displacement (mm)<br />
Medium Medium 1<br />
1<br />
Medium Medium 2<br />
2