Geodetic Network Design for InSAR

Ground deformation can be monitored with subcentimetric precision from space, using interferometric synthetic aperture radar (InSAR). This technique can sometimes be limited by a low density of naturally occurring phase-coherent radar targets. Measurement densification may be achieved through improvements in processing algorithms and new satellites with better revisit times, but there can still exist areas where very few coherent targets are detected, e.g., in vegetated nonurbanized areas. For third-party end users of InSAR survey results, there is currently no systematic method to determine a priori whether these coherent targets have adequate spatial distribution to estimate the parameters of their interest. We propose such a method, along with a practical solution for measurement densification, i.e., deployment of coherent target devices such as corner reflectors or transponders. We propose a generic network design methodology that does the following: 1) determines whether the naturally occurring InSAR measurements are adequate; 2) finds the minimum number of additional devices (if required); and 3) finds their optimal ground locations. The method digests, as inputs, the expected locations and quality of existing coherent targets, the quality of the devices being deployed, and, if available, any prior knowledge of the deformation signal. At the core of the method is a comparison of different covariance matrices of the final parameters of interest with a criterion matrix (i.e., the desired idealized covariance matrix), using a predefined metric. The resulting network is optimized with respect to precision, reliability, and cost criteria. Simulated data sets and a subsidence case study in the Netherlands are used to demonstrate this method.

[1]  C. Meisina,et al.  Models To Predict Persistent Scatterers Data Distribution And Their Capacity To Register Movement Along The Slope , 2012 .

[2]  A. A. Seemkooei Comparison of reliability and geometrical strength criteria in geodetic networks , 2001 .

[3]  Petra Kaufmann,et al.  Two Dimensional Phase Unwrapping Theory Algorithms And Software , 2016 .

[4]  Curtis W. Chen Statistical-cost network-flow approaches to two-dimensional phase unwrapping for radar interferometry , 2001 .

[5]  Helmut Moritz,et al.  Optimization and design of geodetic networks , 1987 .

[6]  Howard A. Zebker,et al.  Decorrelation in interferometric radar echoes , 1992, IEEE Trans. Geosci. Remote. Sens..

[7]  R. Hanssen Radar Interferometry: Data Interpretation and Error Analysis , 2001 .

[8]  Huadong Guo,et al.  Landslide monitoring by corner reflectors differential interferometry SAR , 2010 .

[9]  Claudio Prati,et al.  A New Algorithm for Processing Interferometric Data-Stacks: SqueeSAR , 2011, IEEE Transactions on Geoscience and Remote Sensing.

[10]  H. Kaufmann,et al.  Landslide Monitoring in the Three Gorges Area Using D-INSAR and Corner Reflectors , 2004 .

[11]  Stefano Tebaldini,et al.  On the Exploitation of Target Statistics for SAR Interferometry Applications , 2008, IEEE Transactions on Geoscience and Remote Sensing.

[12]  Yuxiao Qin,et al.  The Design and Experiments on Corner Reflectors for Urban Ground Deformation Monitoring in Hong Kong , 2013 .

[13]  Fabio Rocca,et al.  Submillimeter Accuracy of InSAR Time Series: Experimental Validation , 2007, IEEE Transactions on Geoscience and Remote Sensing.

[14]  Karl-Rudolf Koch,et al.  Parameter estimation and hypothesis testing in linear models , 1988 .

[15]  Simon Plank,et al.  Assessment of number and distribution of persistent scatterers prior to radar acquisition using open access land cover and topographical data , 2013 .

[16]  Richard Bamler,et al.  Coherent stacking with TerraSAR-X imagery in urban areas , 2009, 2009 Joint Urban Remote Sensing Event.

[17]  Fabio Rocca,et al.  Permanent scatterers in SAR interferometry , 1999, Remote Sensing.

[18]  Ramon F. Hanssen,et al.  A New Method for Temporal Phase Unwrapping of Persistent Scatterers InSAR Time Series , 2011, IEEE Transactions on Geoscience and Remote Sensing.

[19]  Alberto Refice,et al.  Using corner reflectors and X-band SAR interferometry for slope instability monitoring , 2012, 2012 Tyrrhenian Workshop on Advances in Radar and Remote Sensing (TyWRRS).

[20]  Irena Hajnsek,et al.  Detection of coherent scatterers in SAR data: application for urban environments , 2014 .

[21]  E. Peters,et al.  Inversion of surface subsidence data to quantify reservoir compartmentalization: A field study , 2012 .

[22]  Alberto Refice,et al.  Spaceborne InSAR monitoring of terrain instabilities in Apulia, Italy: outcomes of a National project , 2013 .

[23]  S. Plank,et al.  Pre-survey suitability analysis of the differential and persistent scatterer synthetic aperture radar interferometry method for deformation monitoring of mass movements and subsidence , 2012 .

[24]  Ramon F. Hanssen Stochastic modeling of time series radar interferometry , 2004, IGARSS 2004. 2004 IEEE International Geoscience and Remote Sensing Symposium.

[25]  Annick Loschetter,et al.  On the use of persistent scatterers interferometry (PSI) in highly vegetated/agricultural areas for long term CO2 storage monitoring , 2014, 2014 IEEE Geoscience and Remote Sensing Symposium.

[26]  C. Werner,et al.  Satellite radar interferometry: Two-dimensional phase unwrapping , 1988 .

[27]  Robert A. Schowengerdt,et al.  Remote sensing, models, and methods for image processing , 1997 .

[28]  Ramon F. Hanssen,et al.  New algorithm for InSAR stack phase triangulation using integer least squares estimation , 2013, 2013 IEEE International Geoscience and Remote Sensing Symposium - IGARSS.

[29]  Paul Segall,et al.  Earthquake and Volcano Deformation , 2010 .

[30]  Ryszard Hejmanowski,et al.  SUBSIDENCE PREDICTION CAUSED BY THE OIL AND GAS DEVELOPMENT , 2006 .

[31]  Colm Jordan,et al.  Simulating SAR geometric distortions and predicting Persistent Scatterer densities for ERS-1/2 and ENVISAT C-band SAR and InSAR applications: Nationwide feasibility assessment to monitor the landmass of Great Britain with SAR imagery , 2014 .

[32]  Hans Wackernagel,et al.  Multivariate Geostatistics: An Introduction with Applications , 1996 .

[33]  Ryszard Hejmanowski,et al.  Evaluation of reliability of subsidence prediction based on spatial statistical analysis , 2009 .

[34]  F. V. Leijen,et al.  Persistent Scatterer Interferometry based on geodetic estimation theory , 2014 .

[35]  Fabio Rocca,et al.  Modeling Interferogram Stacks , 2007, IEEE Transactions on Geoscience and Remote Sensing.

[36]  W. Caspary Concepts of network and deformation analysis , 1987 .

[37]  W. Förstner,et al.  A Metric for Covariance Matrices , 2003 .

[38]  S. Liu,et al.  Satellite radar interferometry: Estimation of atmospheric delay , 2012 .

[39]  Jérémy Rohmer,et al.  On the applicability of Persistent Scatterers Interferometry (PSI) analysis for long term CO2 storage monitoring , 2012 .

[40]  Stefano Tebaldini,et al.  Sentinel-1 Radar Interferometry Applications , 2008 .

[41]  W. Föstner Reliability analysis of parameter estimation in linear models with application to mensuration problems in computer vision , 1987 .

[42]  Ye Xia CR-Based SAR-Interferometry for Landslide Monitoring , 2008, IGARSS 2008 - 2008 IEEE International Geoscience and Remote Sensing Symposium.

[43]  Wolfgang Förstner Reliability analysis of parameter estimation in linear models with applications to mensuration problems in computer vision , 1987, Comput. Vis. Graph. Image Process..

[44]  Ramon F. Hanssen,et al.  On the Use of Transponders as Coherent Radar Targets for SAR Interferometry , 2014, IEEE Transactions on Geoscience and Remote Sensing.

[45]  Peter Teunissen,et al.  Least-squares prediction in linear models with integer unknowns , 2007 .

[46]  Gianfranco Fornaro,et al.  A new algorithm for surface deformation monitoring based on small baseline differential SAR interferograms , 2002, IEEE Trans. Geosci. Remote. Sens..

[47]  R. Hanssen,et al.  INSAR QUALITY CONTROL: ANALYSIS OF FIVE YEARS OF CORNER REFLECTOR TIME SERIES , 2008 .

[48]  Jordi Corominas,et al.  Interferometric SAR monitoring of the Vallcebre landslide (Spain) using corner reflectors , 2013 .

[49]  W. Baarda,et al.  A testing procedure for use in geodetic networks. , 1968 .

[50]  Dennis C. Ghiglia,et al.  Two-Dimensional Phase Unwrapping: Theory, Algorithms, and Software , 1998 .

[51]  B. Kampes Displacement parameter estimation using permanent scatterer interferometry , 2005 .

[52]  Ing H. Kratzsch Mining subsidence engineering , 1983 .

[53]  C.C.J.M. Tiberius,et al.  Probability and Observation Theory. , 2004 .

[54]  P. González,et al.  Error estimation in multitemporal InSAR deformation time series, with application to Lanzarote, Canary Islands , 2011 .

[55]  K. Mogi Relations between the Eruptions of Various Volcanoes and the Deformations of the Ground Surfaces around them , 1958 .

[56]  Fabiana Calò,et al.  How second generation SAR systems are impacting the analysis of ground deformation , 2014, Int. J. Appl. Earth Obs. Geoinformation.

[57]  C. Eling,et al.  Automatic optimization of height network configurations for detection of surface deformations , 2013 .

[58]  Mario Costantini,et al.  A novel phase unwrapping method based on network programming , 1998, IEEE Trans. Geosci. Remote. Sens..