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Microseismic Monitoring and Geomechanical Modelling of CO2 - bris

Microseismic Monitoring and Geomechanical Modelling of CO2 - bris

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6.3. A MICRO-STRUCTURAL MODEL FOR NONLINEAR ELASTICITY<br />

1.0<br />

1784<br />

5000<br />

1784<br />

1.0<br />

1788<br />

4000<br />

1788<br />

0.8<br />

4500<br />

0.8<br />

3500<br />

Normalized crack density<br />

0.6<br />

0.4<br />

0.2<br />

Velocity (m/s)<br />

4000<br />

3500<br />

3000<br />

Normalized crack density<br />

0.6<br />

0.4<br />

0.2<br />

Velocity (m/s)<br />

3000<br />

2500<br />

0.0<br />

2500<br />

0.0<br />

2000<br />

−0.2<br />

0 20 40<br />

Pressure (MPa)<br />

2000<br />

0 20 40<br />

Pressure (MPa)<br />

−0.2<br />

0 20 40<br />

Pressure (MPa)<br />

1500<br />

0 20 40<br />

Pressure (MPa)<br />

1.0<br />

1909<br />

4500<br />

1909<br />

1.0<br />

1950<br />

5500<br />

1950<br />

0.8<br />

4000<br />

0.8<br />

5000<br />

Normalized crack density<br />

0.6<br />

0.4<br />

0.2<br />

Velocity (m/s)<br />

3500<br />

3000<br />

Normalized crack density<br />

0.6<br />

0.4<br />

0.2<br />

Velocity (m/s)<br />

4500<br />

4000<br />

3500<br />

3000<br />

0.0<br />

2500<br />

0.0<br />

2500<br />

−0.2<br />

0 20 40<br />

Pressure (MPa)<br />

2000<br />

0 20 40<br />

Pressure (MPa)<br />

−0.2<br />

0 20 40<br />

Pressure (MPa)<br />

2000<br />

0 20 40<br />

Pressure (MPa)<br />

1.0<br />

2194<br />

4000<br />

2194<br />

0.8<br />

3500<br />

Normalized crack density<br />

0.6<br />

0.4<br />

0.2<br />

Velocity (m/s)<br />

3000<br />

2500<br />

0.0<br />

2000<br />

−0.2<br />

0 20 40<br />

Pressure (MPa)<br />

1500<br />

0 20 40<br />

Pressure (MPa)<br />

Figure 6.4: Inverted second <strong>and</strong> fourth order crack density tensor components <strong>and</strong> back-calculated<br />

velocities for the Clair samples: Left-h<strong>and</strong> panels show α <strong>and</strong> β as a function <strong>of</strong> pressure (red<br />

- α 11 , blue - α 22 , green - α 33 , black - β iiii , cyan - β iijj ). Right-h<strong>and</strong> panels show velocity data<br />

(symbols) <strong>and</strong> back calculated velocities (lines) corresponding to the calculated αs <strong>and</strong> βs (red -<br />

V P x, blue - V P y, green - V P z, black - V P 45, cyan - V Sxy, magenta - V Sxz, yellow - V Syz).<br />

117

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