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Published February 28, 2018 | Published + Supplemental Material
Journal Article Open

A Multipixel Time Series Analysis Method Accounting for Ground Motion, Atmospheric Noise, and Orbital Errors

Abstract

Interferometric synthetic aperture radar time series methods aim to reconstruct time‐dependent ground displacements over large areas from sets of interferograms in order to detect transient, periodic, or small‐amplitude deformation. Because of computational limitations, most existing methods consider each pixel independently, ignoring important spatial covariances between observations. We describe a framework to reconstruct time series of ground deformation while considering all pixels simultaneously, allowing us to account for spatial covariances, imprecise orbits, and residual atmospheric perturbations. We describe spatial covariances by an exponential decay function dependent of pixel‐to‐pixel distance. We approximate the impact of imprecise orbit information and residual long‐wavelength atmosphere as a low‐order polynomial function. Tests on synthetic data illustrate the importance of incorporating full covariances between pixels in order to avoid biased parameter reconstruction. An example of application to the northern Chilean subduction zone highlights the potential of this method.

Additional Information

© 2018 American Geophysical Union. Received 24 NOV 2017; Accepted 5 FEB 2018; Accepted article online 9 FEB 2018; Published online 22 FEB 2018. We thank Angelyn Moore and Susan Owen for making the GPS time series available through the Aria project. We would like to thank N. Brantut for the fruitful discussions about inverse problems in general. M. S. was partially supported by NASA grant NNX16AK58G. This project has received funding from the European Research Council (ERC) under the European Union's Horizon 2020 research and innovation program (grant agreement 758210). This work was granted access to the HPC resources of MesoPSL financed by the Region Ile de France and the project Equip@Meso (reference ANR‐10‐EQPX‐29‐01) of the program Investissements d'Avenir supervised by the Agence Nationale pour la Recherche. Codes are available on our website with instructions for installation (https://www.geologie.ens.fr/~jolivet) along with examples. Envisat raw data have been obtained upon request via the EOLISA tool. We thank the European Space Agency for the acquisition and the distribution of these data. ERA‐Interim products are directly available for download at ECMWF (https://www.ecmwf.int/).

Attached Files

Published - Jolivet_et_al-2018-Geophysical_Research_Letters.pdf

Supplemental Material - 2017GL076533-sup-0001-Text_SI-S01_AA.pdf

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