Effect of Unmodelled Reference Frame Motion on InSAR Deformation Estimates

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Effect of Unmodelled Reference Frame Motion on InSAR Deformation Estimates Hermann Bähr 1, Sami Samiei-Esfahany 2 and Ramon Hanssen 2 1 Karlsruhe Institute of Technology, Germany 2 Delft University of Technology, The Netherlands FRINGE 2011 Workshop 19-23 September 2011 ESA-ESRIN Frascati (Rome) Italy

Reference Phase Computation Tectonic plate motion SAR pixel size Required DEM accuracy ~ cm/a ~ m ~ m insignificant for reference phase? BUT: Required orbit accuracy ~ cm

Outline The Reference Frame Effect Global Prediction Correction Approach and Application

Effect of Orbit Errors on Interferograms * Numerical values apply to ERS/ENVISAT. * Numerical values apply to ERS/ENVISAT. Interferograms are almost insensitive to errors in. Errors in induce one fringe per 26 cm (ERS/ENVISAT).

The International Terrestrial Reference Frame (ITRF) precise realisation of WGS84 defined by positions and linear velocities of >900 reference points on the surface: Satellite orbit data are given w. r. t. the ITRF. Tectonic plates move w. r. t. the ITRF.

InSAR Acquisition Geometry The surface is moving w. r. t. the coordinate frame. This motion has to be taken into account for the reference phase.

Acquisition Geometry observed from a fixed Surface The surface is considered motionless for InSAR processing. Neglecting surface motion yields a baseline bias:

Possible Causes of a Phase Ramp in Range *ERS/ENVISAT

Outline The Reference Frame Effect Global Prediction Correction Approach and Application

Prediction Approach Consider the motion of a nearby ITRF-station as representative. Compute the baseline bias:

Global Prediction for ERS/ENVISAT 10 cm/a at ITRF2008 stations ascending orbit descending orbit

Example Hawaii 4.3 years (descending orbit) induces one fringe in range (ERS/ENVISAT). After years the error signal accumulates to one fringe.

Example Hawaii 8.6 years (descending orbit) induces one fringe in range (ERS/ENVISAT). After After years the error signal accumulates to one fringe. years the error signal accumulates to two fringes.

Example Hawaii PSI velocities are cumulatively affected by reference frame motion. Maximum bias of the displacement rate for Hawaii: 6.6 mm/a The relative displacement bias depends on: baseline error rate (~ ) separation of two points in time separation of two points in range

The Reference Frame Effect at Selected Locations Plate Region [cm/a] Max. Displacement Rate Bias [mm/a] PCFC Hawaii -5.0 6.1 5.4-6.6 INDI India 4.6-3.0-5.0 3.2 AUST West Australia 4.8-2.5-5.2 2.7 ARAB Arabia 3.6-2.3-3.9 2.4 EURA Europe 2.1-1.0-2.2 1.1 AFRC South Africa 2.0-1.2-2.2 1.3 NOAM North America -1.5 1.3 1.6-1.4 SOAM South America -0.1 0.6 0.1-0.6 (asc./desc.)

Outline The Reference Frame Effect Global Prediction Correction Approach and Application

Correction approach Consider the motion of a nearby ITRF-station as representative. Shift the slave orbit data to compute an unbiased reference phase.

PSI Analysis in Groningen (The Netherlands) ENVISAT time series of 68 images spanning 6.7 years without correction mm/a with correction mm/a 10 10 0 0 ITRF Station Trend in range: 13.8 mm/a -10 Trend in range: 12.5 mm/a -10 Predicted bias: 1.4 mm/a The effect of the correction matches the predicted bias. The major part of the trend in range cannot be explained by the reference frame effect. difference Trend in range: 1.3 mm/a mm/a 1 0-1

Conclusions The reference frame effect is systematic and significant and should be included in all standard InSAR and PS-InSAR processing chains. It is not separable from deformation signals by correlation properties. A correction is feasible a priori or a posteriori. Limitations ITRF velocities are only available for discrete points. A correction is also feasible with velocities from a plate kinematic model. More sophisticated correction approaches are required in deforming zones, e. g., at plate boundaries for long track data processing