Earthquake Analysis by 3-D Affine Deformations

J.L. Farrell

Abstract:	Changes in coordinates at stations affected by earthquakes have been monitored successfully, for years, with precision using satellite navigation. Results of interest have then been produced in the past through processing the outcome by conventional means. Those methods can now be augmented by applying entirely different criteria: deformation states associated with affine transformations. In this first application of morphometrics to earthquakes, plot sequences are first provided for coordinate shifts, rotations, and uniform scaling on each separate day. In addition to those seven time histories from Procrustes representations, five more offer further insight: shape states (three shear and two nonuniform scaling). For those, classical (two-dimensional; "2-D") methods from anatomy had to be extended to 3-D. All were obtained fro landmark coordinate sets reported daily for four weeks before and after the 2011 Tohoku quake. Finding exhibit encouraging prospects for anticipation, in time and spatially. Data provided herein enables readers to verify sample results.
Published in:	Proceedings of the ION 2013 Pacific PNT Meeting April 23 - 25, 2013 Marriott Waikiki Beach Resort & Spa Honolulu, Hawaii
Pages:	41 - 51
Cite this article:	Farrell, J.L., "Earthquake Analysis by 3-D Affine Deformations," Proceedings of the ION 2013 Pacific PNT Meeting, Honolulu, Hawaii, April 2013, pp. 41-51.
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