Nearby events observed at the same station share most of their propagation path, so common model and station errors cancel in differential arrival times. Waveform cross-correlation can also determine their relative timing more precisely than separate onset picks. Double-difference earthquake relocation fitsalong with the difference in origin times. The relative cluster geometry can be precise while the entire cluster remains displaced. Absolute anchoring still needs a well-calibrated velocity model or a source of known position.[ref]
A Double-difference Earthquake Location Algorithm: Method and Application to the Northern Hayward Fault, California by F. Waldhauser and W. Ellsworth. 2000, method and common-path rationale
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