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Microseismic Monitoring and Geomechanical Modelling of CO2 - bris

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CHAPTER 5.<br />

GEOMECHANICAL SIMULATION OF CO 2 INJECTION<br />

2700<br />

6<br />

2700<br />

6<br />

2750<br />

4<br />

2750<br />

4<br />

2800<br />

2<br />

2800<br />

2<br />

2850<br />

0<br />

2850<br />

0<br />

Depth (m)<br />

2900<br />

2950<br />

3000<br />

−2<br />

−4<br />

−6<br />

Depth (m)<br />

2900<br />

2950<br />

3000<br />

−2<br />

−4<br />

−6<br />

3050<br />

3100<br />

−8<br />

3050<br />

3100<br />

−8<br />

3150<br />

−10<br />

3150<br />

−10<br />

0 100 200 300 400 500<br />

X (m)<br />

−12<br />

0 1000 2000 3000 4000 5000<br />

X (m)<br />

−12<br />

(a)<br />

(b)<br />

Figure 5.12: Cross sections through the centre <strong>of</strong> the reservoir showing the changes in vertical<br />

effective stress (σ ′ 3) at the end <strong>of</strong> injection for the short, s<strong>of</strong>t reservoir case (a) <strong>and</strong> for the stiff,<br />

extensive case (b). Contours are in MPa. The short, s<strong>of</strong>t case experiences stress arching as the<br />

sideburden <strong>and</strong> overburden support the load, while the stiff extensive case does not.<br />

is because a stiffer overburden will be better able to support the loads. A s<strong>of</strong>t overburden will not be<br />

able to support large loads. I have also found that arching is less likely to occur with the extensive<br />

reservoir. This is because the extensive case has a large amount <strong>of</strong> overburden to support. With<br />

smaller reservoirs, there is less overburden to be supported. I have already noted the similarity<br />

between results for the elongate <strong>and</strong> short cases. This suggests that so long as the reservoir is small in<br />

one dimension the stress arching can occur to the full extent. Finally, I have found that stress arching<br />

is more likely to occur at the edges <strong>of</strong> the reservoir. This is because the closer to the sideburden<br />

the better the mechanical connection, <strong>and</strong> so the greater load it can support. This interpretation is<br />

limited to the elastic case. The yield surface <strong>of</strong> the overburden will also control the amount <strong>of</strong> stress<br />

is can support - an overburden with low strength will fail as a response to deformation, <strong>and</strong> will be<br />

less capable <strong>of</strong> supporting stress arching.<br />

5.4.2 Fracture potential<br />

The likelihood <strong>of</strong> a material to experience brittle shear failure can be expressed in terms <strong>of</strong> a fracture<br />

potential, f p . The fracture potential describes how close the stress state is to crossing the Mohr-<br />

Coulomb envelope described in equation 5.6. In the shear regime f p is based on the ratio between the<br />

actual differential stress <strong>and</strong> the critical differential stress at failure,<br />

The critical differential stress is given as<br />

f p =<br />

q<br />

q crit<br />

. (5.20)<br />

q crit /2 = χ cos ϕ f + p sin ϕ f , (5.21)<br />

98

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