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Microseismic Monitoring and Geomechanical Modelling of CO2 - bris

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CHAPTER 6.<br />

GENERATING ANISOTROPIC SEISMIC MODELS BASED ON GEOMECHANICAL SIMULATION<br />

Define S r (from EBSD or high pressure behaviour)<br />

⇓<br />

For each velocity measurement at specified pressure:<br />

Define C obs from velocities<br />

⇓<br />

Loop over B N /B T values<br />

Initialise crack density tensor<br />

α kk = 0<br />

⇓<br />

Loop over number <strong>of</strong> iterations<br />

Define C model = f(S r , α kk , B N /B T )<br />

(equations 6.22 – 6.24)<br />

⇓<br />

Define model misfit:<br />

δb = C obs − C model<br />

⇓<br />

Define Jacobean: J = δC<br />

δα<br />

⇓<br />

Invert δb = Jδm<br />

⇓<br />

Update model: α kk = α kk + δm<br />

End iteration loop<br />

⇓<br />

Back calculate velocities using final value <strong>of</strong> C model<br />

⇓<br />

Compute misfit between modelled <strong>and</strong> observed velocities<br />

δV = (V obs −V model ) 2<br />

V obs<br />

End B N /B T grid-search<br />

⇓<br />

Select the value <strong>of</strong> B N /B T that minimises δV<br />

⇓<br />

Select the values <strong>of</strong> α kk computed with this B N /B T value<br />

⇓<br />

Move on to next pressure measurement<br />

Figure 6.3: Workflow for inverting velocity measurements for B N /B T <strong>and</strong> the crack density tensor.<br />

Modified from Hall et al. (2008).<br />

116

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