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Using a correlation length of 200 km, the recovered pattern was smeared throughout the whole studied region (Fig. 4f).
In the present study, we inverted for phase velocity maps using a correlation length of 100 km in the Society region and 200 km in the outer region.
Using a correlation length of 100 km, the input pattern was well recovered in the vicinity of the Society hotspot (latitudes 12° 25°S and longitudes 141° 153°W; herein called the "Society region") and in the vicinity of the Samoa hotspot, where seismic stations were densely distributed (Fig. 4b).
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Therefore, to optimize resolution in both the Society and outer regions, we use a correlation length of 100 km in the Society region and 200 km in the outer region.
The only noticeable difference is that the slow anomalies are more localized when a correlation length of 100 km is used.
This indicates the presence of a correlation length much larger than the pore length.
Flow architectures were defined using the correlation length, a statistical quantity giving the radii of the flow features observed (Ganguly et al., 2012).
To make the algorithm more practical for synchronization, the simplified algorithm in [12] uses the correlation length that is equivalent to twice the CP length, subsequently degrading the performance.
The background error covariance matrix is specified using ocean model data and the analysis uses correlation length scales of 10 km and 100 km.
We focus on the seismic anomalies in the Society region, where ray coverage allows us to use the smaller correlation length of 100 km. Figure 9 shows the shear wave velocity models in the region.
SAXS measurements on solvent swollen PDMS networks from short and long chain precursors were used to obtain correlation length of the networks at a higher length scale of a few nanometers.
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