A Spatially Varying Scaling Method for InSAR Tropospheric Corrections Using a High‐Resolution Weather Model

Variation in tropospheric delay is a major limiting factor on the accuracy of interferometric synthetic aperture radar (InSAR) measurements. This is particularly the case when deformation and topography are correlated. To address limitations of previous InSAR tropospheric correction methods, here we present a new approach that combines the use of both external weather model data and the interferometric phase. We assume that vertical refractivity profiles calculated from a high‐resolution weather model data can generally describe the form of the relationship between tropospheric delay and height but that the magnitude can be incorrect. We estimate a magnitude correction by scaling the original delays to best match the interferometric phase. We validated our new method using simulated data and demonstrate that both coseismic and interseismic signals can be separated from strong tropospheric delays. We also applied our algorithm to the central portion of the Altyn Tagh Fault in northern Tibet, where deformation correlates strongly with topographic relief of 6,000 m, and show that the derived velocity field is more internally consistent and agrees better with independent Global Positioning System measurements.

[1]  Tim J. Wright,et al.  A spatially variable power law tropospheric correction technique for InSAR data , 2015 .

[2]  J. Elliott,et al.  Interseismic strain accumulation across the Manyi fault (Tibet) prior to the 1997 Mw 7.6 earthquake , 2011 .

[3]  Simo Puntanen,et al.  Two matrix-based proofs that the linear estimator Gy is the best linear unbiased estimator , 2000 .

[4]  Zhong Lu,et al.  Magmatic activity beneath the quiescent Three Sisters volcanic center, central Oregon Cascade Range, USA , 2002 .

[5]  Howard A. Zebker,et al.  Correction for interferometric synthetic aperture radar atmospheric phase artifacts using time series of zenith wet delay observations from a GPS network , 2006 .

[6]  Marie-Pierre Doin,et al.  Improving InSAR geodesy using Global Atmospheric Models , 2014 .

[7]  David T. Sandwell,et al.  Optimal combination of InSAR and GPS for measuring interseismic crustal deformation , 2010 .

[8]  Andrew Hooper,et al.  A multi‐temporal InSAR method incorporating both persistent scatterer and small baseline approaches , 2008 .

[9]  J. Thepaut,et al.  The ERA‐Interim reanalysis: configuration and performance of the data assimilation system , 2011 .

[10]  Franz J. Meyer,et al.  Temporal Filtering of InSAR Data Using Statistical Parameters From NWP Models , 2015, IEEE Transactions on Geoscience and Remote Sensing.

[11]  Zhong Lu,et al.  Systematic assessment of atmospheric uncertainties for InSAR data at volcanic arcs using large-scale atmospheric models: Application to the Cascade volcanoes, United States , 2015 .

[12]  Jean Chery,et al.  Nailing down the slip rate of the Altyn Tagh fault , 2013 .

[13]  J. Elliott,et al.  of Geophysical Research : Solid Earth Blind Thrusting , Surface Folding , and the Development of Geological Structure in the Mw 6 . 3 2015 Pishan ( China ) Earthquake , 2017 .

[14]  J. Muller,et al.  Interferometric synthetic aperture radar atmospheric correction: GPS topography‐dependent turbulence model , 2006 .

[15]  Yueping Yin,et al.  Integration of GPS with InSAR to monitoring of the Jiaju landslide in Sichuan, China , 2010 .

[16]  Tim J. Wright,et al.  Post-seismic motion following the 1997 Manyi (Tibet) earthquake: InSAR observations and modelling , 2007 .

[17]  T. Wright,et al.  Statistical comparison of InSAR tropospheric correction techniques , 2015 .

[18]  P. Rosen,et al.  Atmospheric effects in interferometric synthetic aperture radar surface deformation and topographic maps , 1997 .

[19]  Thomas Fournier,et al.  Accounting for Atmospheric Delays in InSAR Data in a Search for Long-Wavelength Deformation in South America , 2011, IEEE Transactions on Geoscience and Remote Sensing.

[20]  A. Hooper A Statistical-Cost Approach to Unwrapping the Phase of InSAR Time Series , 2010 .

[21]  Henriette Sudhaus,et al.  Strain Partitioning and Present‐Day Fault Kinematics in NW Tibet From Envisat SAR Interferometry , 2018 .

[22]  Rene Preusker,et al.  Advanced InSAR atmospheric correction: MERIS/MODIS combination and stacked water vapour models , 2009 .

[23]  M. Simons,et al.  A multiscale approach to estimating topographically correlated propagation delays in radar interferograms , 2010 .

[24]  Ernest K. Smith,et al.  The Constants in the Equation for Atmospheric Refractive Index at Radio Frequencies , 1953, Proceedings of the IRE.

[25]  Three-dimensional mechanical modeling of the GPS velocity field around the northeastern Tibetan plateau and surrounding regions , 2013 .

[26]  Zhong Lu,et al.  The utility of atmospheric analyses for the mitigation of artifacts in InSAR , 2013 .

[27]  Remko Scharroo,et al.  Generic Mapping Tools: Improved Version Released , 2013 .

[28]  J. Avouac,et al.  Tropospheric phase delay in interferometric synthetic aperture radar estimated from meteorological model and multispectral imagery , 2007 .

[29]  Zhenhong Li,et al.  Rapid strain accumulation on the Ashkabad fault (Turkmenistan) from atmosphere‐corrected InSAR , 2013 .

[30]  Marie-Pierre Doin,et al.  Corrections of stratified tropospheric delays in SAR interferometry: Validation with global atmospheric models , 2009 .

[31]  Teng Wang,et al.  Time-Series InSAR Applications Over Urban Areas in China , 2011, IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing.

[32]  Ye Yun,et al.  Mitigating atmospheric effects in InSAR measurements through high-resolution data assimilation and numerical simulations with a weather prediction model , 2015 .

[33]  Romain Jolivet,et al.  Thin‐plate modeling of interseismic deformation and asymmetry across the Altyn Tagh fault zone , 2008 .

[34]  S. Hensley,et al.  Radar interferometry , 2008, 2008 IEEE Radar Conference.

[35]  T.J. Wright,et al.  The role of space-based observation in understanding and responding to active tectonics and earthquakes , 2016, Nature Communications.

[36]  Caijun Xu,et al.  Coseismic deformation and slip distribution of the 1997 Mw7.5 Manyi, Tibet, earthquake from InSAR measurements , 2007 .

[37]  E. Chaussard,et al.  Land subsidence in central Mexico detected by ALOS InSAR time-series , 2014 .

[38]  G. Peltzer,et al.  Current slip rates on conjugate strike‐slip faults in central Tibet using synthetic aperture radar interferometry , 2006 .

[39]  Christophe Delacourt,et al.  Tropospheric corrections of SAR interferograms with strong topography. Application to Etna , 1998 .

[40]  Sun-Lin Chung,et al.  Crustal–lithospheric structure and continental extrusion of Tibet , 2011, Journal of the Geological Society.

[41]  Virginie Pinel,et al.  The challenging retrieval of the displacement field from InSAR data for andesitic stratovolcanoes: Case study of Popocatepetl and Colima Volcano, Mexico , 2011 .

[42]  Paul F. Gentle,et al.  Complex multifault rupture during the 2016 Mw 7.8 Kaikōura earthquake, New Zealand , 2017, Science.

[43]  David A. Seal,et al.  The Shuttle Radar Topography Mission , 2007 .

[44]  Bertrand Meyer,et al.  Oblique Stepwise Rise and Growth of the Tibet Plateau , 2001, Science.

[45]  Freysteinn Sigmundsson,et al.  Segmented lateral dyke growth in a rifting event at Bárðarbunga volcanic system, Iceland , 2014, Nature.

[46]  J. Nocquet,et al.  Slip distribution of the February 27, 2010 Mw = 8.8 Maule Earthquake, central Chile, from static and high‐rate GPS, InSAR, and broadband teleseismic data , 2010 .

[47]  Marie-Pierre Doin,et al.  Large‐scale InSAR monitoring of permafrost freeze‐thaw cycles on the Tibetan Plateau , 2017 .

[48]  J. N. Lima,et al.  Seasonal tropospheric influence on SAR interferograms near the ITCZ - The case of Fogo Volcano and Mount Cameroon , 2010 .

[49]  Jan-Peter Muller,et al.  Evaluating sub-pixel offset techniques as an alternative to D-InSAR for monitoring episodic landslide movements in vegetated terrain , 2014 .

[50]  J. C. Savage,et al.  Geodetic determination of relative plate motion in central California , 1973 .

[51]  Tim J. Wright,et al.  Interseismic strain accumulation across the central North Anatolian Fault from iteratively unwrapped InSAR measurements , 2016 .

[52]  Tim J. Wright,et al.  InSAR slip rate determination on the Altyn Tagh Fault, northern Tibet, in the presence of topographically correlated atmospheric delays , 2008 .

[53]  A. Hooper,et al.  Recent advances in SAR interferometry time series analysis for measuring crustal deformation , 2012 .

[54]  Yuri Fialko,et al.  Interseismic strain accumulation and the earthquake potential on the southern San Andreas fault system , 2006, Nature.

[55]  Daniele Perissin,et al.  On the accuracy of integrated water vapor observations and the potential for mitigating electromagnetic path delay error in InSAR , 2012 .

[56]  Tim J. Wright,et al.  Fault slip in the 1997 Manyi, Tibet earthquake from linear elastic modelling of InSAR displacements , 2007 .

[57]  W. Gan,et al.  Three‐dimensional velocity field of present‐day crustal motion of the Tibetan Plateau derived from GPS measurements , 2013 .

[58]  M. Kenward,et al.  An Introduction to the Bootstrap , 2007 .

[59]  Masanobu Shimada,et al.  Line‐of‐sight displacement from ALOS‐2 interferometry: Mw 7.8 Gorkha Earthquake and Mw 7.3 aftershock , 2015 .

[60]  Zhenhong Li,et al.  Generation of real‐time mode high‐resolution water vapor fields from GPS observations , 2017 .