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Microseismic Monitoring and Geomechanical Modelling of CO2 - bris

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3.4. SWS MEASUREMENTS AT WEYBURN<br />

the different parameters are. In the case with subhorizontal arrivals (Figure 3.5). Fracture strike <strong>and</strong><br />

γ are well constrained. However, from the elongation <strong>of</strong> the misfit contours along the δ axis, I infer<br />

that this parameter is not as well constrained. This is because splitting <strong>of</strong> subhorizontal shear waves is<br />

not significantly affected by the size <strong>of</strong> δ, <strong>and</strong> therefore it does not have an influence on the inversion.<br />

For the case with subvertical arrivals (Figure 3.6), there is a trade-<strong>of</strong>f in the inversion between δ<br />

<strong>and</strong> γ, meaning that neither is well constrained. Essentially, for a set <strong>of</strong> splitting measurements on<br />

subvertical S-waves, any modelled value <strong>of</strong> γ, with the appropriate value <strong>of</strong> δ, can produce splitting<br />

patterns that match well with the actual splitting.<br />

For the case with obliquely arriving waves (Figure 3.7) there is still some trade-<strong>of</strong>f between γ <strong>and</strong> δ,<br />

though both are better constrained than with the subvertical arrivals. In all the examples the fracture<br />

strike <strong>and</strong> density are both well imaged. This is because I use a full range <strong>of</strong> arrival azimuths from<br />

0 - 180 ◦ . Much as horizontal fabrics are most sensitive to the range <strong>of</strong> arrival inclinations, vertical<br />

fabrics (such as fractures) will be most sensitive to the range <strong>of</strong> azimuths available. As can be seen<br />

in Chapter 4, constraints on fracture strike <strong>and</strong> density will be dependent on the azimuthal range <strong>of</strong><br />

S-wave arrivals.<br />

This section does not intend to cover every possible source-receiver geometry, these will obviously<br />

be specific to the problem being investigated. However, I have outlined how synthetic modelling<br />

can guide the interpretation <strong>of</strong> SWS results, <strong>and</strong> highlight what real data is likely to identify, <strong>and</strong><br />

what it cannot. This capacity may well be <strong>of</strong> use to field engineers when selecting sites to place<br />

geophones because geophones sites can be selected to maximise the structures that SWS can constrain.<br />

In subsequent sections I will construct further synthetic models that are appropriate to the actual<br />

problems being investigated. However, before I do so I will first discuss the SWS measurements made<br />

at Weyburn.<br />

3.4 SWS measurements at Weyburn<br />

3.4.1 Method<br />

In order to analyse SWS, the seismograms must first be rotated into the ray frame coordinates. I do<br />

this using the P-wave particle motion orientation to indicate the direction <strong>of</strong> ray propagation, using<br />

the protate algorithm described by Al-Anboori (2006). Where the P-wave has not been picked, or<br />

where this does not produce a satisfactory rotation, the events are rotated using the azimuth <strong>of</strong> the<br />

located event from the receivers <strong>and</strong> the inclination assuming a straight source-receiver path.<br />

If SWS has occurred, the S-wave particle motion will be elliptical. However, a rotation <strong>of</strong> the<br />

components by ψ <strong>and</strong> a time-shift <strong>of</strong> δt will remove the effects <strong>of</strong> splitting <strong>and</strong> leave the particle<br />

motion linearised. I use the methodology <strong>of</strong> Silver <strong>and</strong> Chan (1991), performing a grid search over<br />

ψ <strong>and</strong> δt to find values that best linearise S-wave particle motion (indicated by a minimised second<br />

eigenvalue <strong>of</strong> the covariance matrix). To ensure a stable <strong>and</strong> reliable result, the analysis is conducted<br />

over a range <strong>of</strong> windows centred on the S-wave arrivals. This ensures that the result is not dependent<br />

on S-wave picking accuracy. 100 picked windows are automatically generated on which to perform the<br />

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