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Inverting geodetic time series with a principal component analysis-based inversion method

Kositsky, A. P. and Avouac, J.-P. (2010) Inverting geodetic time series with a principal component analysis-based inversion method. Journal of Geophysical Research B, 115 (B3). B03401. ISSN 0148-0227.

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The Global Positioning System (GPS) system now makes it possible to monitor deformation of the Earth's surface along plate boundaries with unprecedented accuracy. In theory, the spatiotemporal evolution of slip on the plate boundary at depth, associated with either seismic or aseismic slip, can be inferred from these measurements through some inversion procedure based on the theory of dislocations in an elastic half-space. We describe and test a principal component analysis-based inversion method (PCAIM), an inversion strategy that relies on principal component analysis of the surface displacement time series. We prove that the fault slip history can be recovered from the inversion of each principal component. Because PCAIM does not require externally imposed temporal filtering, it can deal with any kind of time variation of fault slip. We test the approach by applying the technique to synthetic geodetic time series to show that a complicated slip history combining coseismic, postseismic, and nonstationary interseismic slip can be retrieved from this approach. PCAIM produces slip models comparable to those obtained from standard inversion techniques with less computational complexity. We also compare an afterslip model derived from the PCAIM inversion of postseismic displacements following the 2005 8.6 Nias earthquake with another solution obtained from the extended network inversion filter (ENIF). We introduce several extensions of the algorithm to allow statistically rigorous integration of multiple data sources (e.g., both GPS and interferometric synthetic aperture radar time series) over multiple timescales. PCAIM can be generalized to any linear inversion algorithm.

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Avouac, J.-P.0000-0002-3060-8442
Additional Information:© 2010 by the American Geophysical Union. Received 13 April 2009; revised 24 August 2009; accepted 16 September 2009; published 3 March 2010. We thank Mohamed Chlieh, Hugo Perfettini, Ya-ju Hsu, Tapio Schneider, Malcolm Sambridge, Mark Simons, and A. Ozgun Konca for useful discussions. This study was partly funded by the Gordon and Betty Moore Foundation and NSF grant EAR 0838495. Andrew Kositsky thanks the Caltech Summer Undergraduate Research Fellowship (SURF) program. This is Caltech Tectonics Observatory contribution 125.
Group:Caltech Tectonics Observatory, Seismological Laboratory
Funding AgencyGrant Number
Gordon and Betty Moore FoundationUNSPECIFIED
NSFEAR 0838495
Summer Undergraduate Research Fellowship (SURF)UNSPECIFIED
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Other Numbering System NameOther Numbering System ID
Caltech Tectonics Observatory125
Issue or Number:B3
Record Number:CaltechAUTHORS:20100405-095913118
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Official Citation:Kositsky, A. P., and J.-P. Avouac (2010), Inverting geodetic time series with a principal component analysis-based inversion method, J. Geophys. Res., 115, B03401, doi:10.1029/2009JB006535.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:17850
Deposited By: Tony Diaz
Deposited On:14 Apr 2010 18:47
Last Modified:09 Mar 2020 13:18

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