Microseismic Monitoring and Geomechanical Modelling of CO2 - bris
Microseismic Monitoring and Geomechanical Modelling of CO2 - bris
Microseismic Monitoring and Geomechanical Modelling of CO2 - bris
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CHAPTER 6.<br />
GENERATING ANISOTROPIC SEISMIC MODELS BASED ON GEOMECHANICAL SIMULATION<br />
6.6 Summary<br />
• A calibrated rock physics model is required to compute the effects <strong>of</strong> stress <strong>and</strong>/or strain on<br />
seismic velocities. This model should include empirically observed effects such as nonlinear<br />
elasticity <strong>and</strong> stress induced anisotropy, but should not be unduly complex or require excessive<br />
numbers <strong>of</strong> parameters that are difficult to constrain.<br />
• I develop a micro-structural model that fulfils these requirements, treating grain boundaries<br />
<strong>and</strong> microcracks as displacement discontinuities, the number density <strong>of</strong> which changes with the<br />
applied stress. The overall compliance <strong>of</strong> the medium can be given as the sum <strong>of</strong> its parts - the<br />
background matrix <strong>and</strong> the additional compliance introduced by the presence <strong>of</strong> the discontinuities.<br />
• I have developed an inversion procedure that computes the 2nd <strong>and</strong> 4th order additional compliance<br />
tensors based on ultrasonic velocity measurements. Unlike previous inversion approaches,<br />
this procedure does not make any a priori assumptions about the relative magnitudes <strong>of</strong> the 2nd<br />
<strong>and</strong> 4th order tensors.<br />
• The change in number <strong>of</strong> displacement discontinuities can be computed by treating them as<br />
penny-shaped features. The number density at a given triaxial stress is calculated using an<br />
initial crack density <strong>and</strong> crack aspect ratio at a reference stress state. These parameters can be<br />
computed from empirical observations <strong>of</strong> ultrasonic velocity changes with stress.<br />
• I find that the model provides a good match with observation for many core samples, <strong>and</strong> does a<br />
good job <strong>of</strong> incorporating anisotropy both inherent in a sample <strong>and</strong> induced by non-hydrostatic<br />
stress changes.<br />
• Over 200 datasets from the literature have been used to calibrate these crack density <strong>and</strong> aspect<br />
ratio parameters. I find a remarkable consistency in the aspect ratio term, while crack density<br />
appears to correspond to the degree <strong>of</strong> damage <strong>and</strong> the amount <strong>of</strong> stress sensitivity <strong>of</strong> the sample.<br />
By providing rules <strong>of</strong> thumb <strong>and</strong> typical parameter ranges, the calibration results can be used<br />
as a tool to facilitate model population.<br />
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