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F Rocca Dipartimento di Elettronica e Informazione  Politecnico di Milano SAR interferometry for sub millimeter land motion studies
ERS -1 - 1991  35 days revisit cycle
Terrain Deformation Monitoring: The ERS – Envisat era
Decennial  Etna motion: vertical
Decennial Etna motion:  E-W
Piton de la Fournaise (Isle de la Reunion) Piton de la Fournaise Madagascar LA REUNION
Differential Interferograms: examples (1) S2 Ascending T84 π - π 15 -74 radians Master : 20031130; Slave: 20030921  Bt=70 [days]  Bn=29 [m] wrapped unwrapped wrapped unwrapped wrapped unwrapped
S2 Ascending T84  Velocity Field
S4 Ascending T127  Velocity Field
S2 Ascending T84  Time Series: examples (1) 1 2 3 1 2 3 master master master
S4 Ascending T127  Time Series: examples (1) 1 2 3 1 2 3 master master master
Vulcano, Eolie Islands (Italy) Descending track 494 30 scenes Envisat S2 Ascending track 129 37 scenes Envisat S2
Velocity field, along LOS
Velocity field, along LOS
Decomposition in East and Vertical velocities Vertical velocity field Easting velocity field east west up down Ascending and descending results both cover the crater area and other  parts of the island: wherever the two data are simultaneously available, a decomposition from ascending and descending displacement to easting and  vertical components is possible, on a grid of 100x100 meters resolution
Displacement Time Series,   examples
Displacement Time Series,   examples
Landslides detection and monitoring Identifying landslides: Piedmont Piedmont landslides
 
 
 
 
Sentinel 1 A/B  22 years later  12 days revisit cycle
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Densifying the set of reference targets  (Persistent Scatterers)
Covariance matrices of multipass SAR Rows and columns correspond to progressive times Examples for: Persistent Scatterers (that terminate) Progressive decorrelation Seasonal effects
 
SqueeSAR uses nearly all interferograms, weighted with their coherence (see above).  Phase linking  is then carried out, estimating the sequence of the N-1 phases using the N(N-1)/2 interferograms. seasonal Markov
 
PS
Squeezing all the information: Squeesar
An example: the InSalah Case (Algeria) ,[object Object],[object Object],PSInSAR estimated volume and pressure changes, and finally the permeability within the reservoir.
 
Elastic Model Definition ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Inversion results UD component Measures Model
Inversion results EW component Measures Model
 
Arrival time and Trajectories ,[object Object],[object Object],[object Object],[object Object],Arrival time Trajectories
The reject across the fault
Cosmo Skymed data: Total change: 1.8mm   28kt/mm
We can map surface deformations into permeability changes; the InSalah story is condensed in 1 cm surface motion 1 mm sensitivity is achieved today with reduced resolution, but can improve with numerical atmospheric models. The revisit time is paramount
[object Object],[object Object],[object Object],[object Object]
MAI: Multiple Aperture Interferometry ,[object Object],With say 1500 looks (4500m 2 ), the dispersion of the ground motion estimates along the NS direction could be of the order of 1 cm.  Multiple Aperture Interferometry proposes to use wide Doppler ranges to achieve a very high equivalent azimuth resolution, even if not completely filling the entire Doppler band (pass band speckle correlation [1]).  [1]   De Zan F., 2011,  Coherent Shift Estimation for Stacks of SAR Images, GRSL to appear
We still have to solve efficiently the problem of the Atmospheric Phase Screen that  biases the outcomes
APS estimation procedure Model Parameters DEM
Mathematical modeling of the APS Characterized by  a variogram K,A,B,C   LMS from the data  Z   from a DEM 4-parameter model
Typical example of atmospheric data
APS from Ground Based RADAR GBSAR measures APS fluctuations from ms to months (range = 4 km). The t a  power law (Kolmogorov) has been verified on variograms from t > 1 s APS has considerably less power  during night time APS in short time APS in long time σ φ =1 rad 2hours  ~  40km mm 2 mm 2
K values: synoptic view Ascending Descending
6am
6pm
What we can do today with good control of the Atmospheric Phase Screen
The CESI experiment Estimated displacement (Radarsat 1 data) Vertical displacement (ground truth) Vertical displacement (estimated)  Horizontal displacement (ground truth) Horizontal displacement (estimated)  Rmse = 0.58mm (h!); 0.75mm (v)
A Ground Based SAR at the XX dam The future: UAV, geosynchronous, both? IBIS-L
Corner 2 Corner 1 Corner 4 Corner 3
Permanent Scatterers analysis : displacement series
Permanent Scatterers analysis : displacement series
Conclusions for the Ground Based SAR (15 h. observation) The data show coherence > 0.8 The atmospheric effect is very low for the good meteorological conditions The rms noise is of the order of  0.1mm
What happens if we are far away from PS?  we have to estimate the APS from other sources:   ,[object Object],[object Object],[object Object]
InSAR vs NWP T351, desce, 10UTC 30 images 10 std IWV maps T172, asce, 21UTC 41 images 20 std IWV maps The Rome dataset
InSAR vs NWP Spectral decorrelation Long spatial wavelengths have a few hours correlation, short spatial wavelengths decorrelate in less than 1 hour
InSAR vs NWP Analysis and separation of the stationary (layered) delay Layered delay Differential delay
MM5 vs InSAR, Rome  T172  9pm asce Prediction of the change with height
InSAR vs NWP MM5: Positive in retrieving the change with height Very low correlation of turbulent terms Strong dependence on the starting time WRF performs better than MM5
Meris vs InSAR Cloud coverage can be a problem Rome T351, morning passes
Meris vs InSAR T351, Meris vs APS power spectra Similar frequency content after removing the stationary component
Meris vs InSAR And the accuracy is not enough… Meris IWV [mm] InSAR IWV [mm]
[object Object],[object Object],[object Object],Meris vs InSAR
GPS vs InSAR The Como test-site 480 descending, 10am (28 images) 487 ascending, 9pm (38 images)
GPS vs InSAR Delay, Como experiment, descending track Different ways for estimating the stationary term,  for different stations (color)
GPS vs InSAR Best performances, ~ 50% success Ascending  Descending  GPS std InSAR std diff std corr coeff GPS std InSAR std diff std corr coeff   3.69 3.37 3.43 0.53 3.43 1.72 2.85 0.56   2.34 4.27 4.27 0.28 2.73 5.26 3.52 0.79   3.61 5.00 1.98 0.95 0.63 3.35 3.03 0.59   2.94 3.36 1.06 0.95 5.36 6.07 2.79 0.89   2.18 1.15 1.27 0.89 1.67 1.83 2.05 0.32  
Closer to any PS, the estimate of the APS improves: in a circle of PS with diameter  D  (m),  the mean square APS reduces q times,  q  is lower than  D q max q
In the case of interferogram chaining, if there is a limited coherence  γ  from one take to the next, the measured phase is: L  = number of looks (> 4);  N = number of takes in the observation time σ atm = dispersion of the APS; w1, w2 noises with unit variance Signal and noise grow with the number of takes  Even if  γ  =0.3,  just 6 looks are equivalent to a PS, as the coherence is limited only by APS and not by decorrelation.
MM5 has a strong “random” component and a more stable stratification estimation. WRF performs better, further work is needed. Meris has shown positive results in flat deserted areas, but not in our case studies. GPS has a success rate of 50%. The connection between InSAR and the other methodologies lies in the stationary term estimation. Permanent Scatterers (or interferogram chaining) are still the best way to accurately estimate the APS.
The competition: Optical and GPS levelling: Approximate  results
A recent survey comparison for an accelerator design in Japan
 
 
 
 
Photon-counting detector with an accuracy of 20 ps (3.3 mm two way)  Max point rate ~ 1000 pts/sec.  Low atmospheric effects Photon counting devices
[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],Remarks
GEO synchronous  S AR for  A tmosphere and  T errain observation Prof. A . Broquetas – UPC Univesitat Politècnica de Catalunya,  Electromagnetic and Photonic Eng. Group  Dr. D. D’Aria - ARESYS Prof. N. Casagli, G. Righini  –  Università degli studi di Firenze,  Dept.  of Earth Sciences Prof. S . Hobbs – Cranfield University, Cranfield Space Research Centre Prof. A. Monti Guarnieri, Prof. F. Rocca  –  Politecnico di Milano,  Dept.  of Electronic and Inf. Science Prof.sa R. Ferretti – University of L’Aquila,  CETEMPS Prof. M. Nazzareno Pierdicca  –  Sapienza University of Roma, Dept. of Electronic Engineering     Prof. G. Wadge – University of Reading,  Environmental Systems Science Centre Prof. Dr. H Rott – University of Innsbruck Dr. C. Svara, Dr. A. Torre – Thales Alenia Space Italia Earth Explorer EE8 proposal:  COM3/EE8/32 GEOSAT
Geosynchronous satellite ,[object Object],[object Object],[object Object],[object Object],[object Object]
The problem: water vapor fluctuations ,[object Object],[object Object]
GEOSAR for Atmosphere Medi terranean Hurric ane ECMWF medium-scale maps ,[object Object],[object Object],[object Object]
GEOSAT: The Wide Beam GEOSAT may be a  guest payload  on Italian Space Agency (ASI) SIGMA missions,  placed appox 9 o  longitude . Look direction would then be close to  SN  for Europe.  Backgound mission  wide beam over central Europe  (2000 km). NESZ = -19 dB, 0.5x 0.5km resolution,  20’ revisit. Fine resolution 10 x 10 m (twice daily revisit). Applications: WV maps, glaciers, urban.
GEOSAT coverage: the SPOT beam Geoseismic risk in Europe Number of Lanslides in Europe ,[object Object],[object Object],[object Object],[object Object]
Any TV antenna becomes a good reflector 80 cm antenna   SNR = 21 dB (12 hours); SNR=2 dB (10 mins) 47 Millions of users parabolas in Europe (2002) Number of home satellite antennas 1999  millions 2002  millions 1999-2002 Increase  % total population % millions % millions and Pacific 19.5 17.5 -11 -2.1 1 1 and US 13.7 20.1 47 6.4 4 6 EUROPE 33.8 43.6 26 8.7 4 5 Latin America and the  1.6 2.7 62 1.0 0 1 North Africa and the  8.9 11.9 29 2.6 3 4 0.0 0.0 177 0.0 0.0 0 Sub Saharan  0.4 1.2 83 0.3 0 0 World 77.9 96.8 22 16.8 1 2
 
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object]

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Rocca.ppt

  • 1. F Rocca Dipartimento di Elettronica e Informazione Politecnico di Milano SAR interferometry for sub millimeter land motion studies
  • 2. ERS -1 - 1991 35 days revisit cycle
  • 3. Terrain Deformation Monitoring: The ERS – Envisat era
  • 4. Decennial Etna motion: vertical
  • 6. Piton de la Fournaise (Isle de la Reunion) Piton de la Fournaise Madagascar LA REUNION
  • 7. Differential Interferograms: examples (1) S2 Ascending T84 π - π 15 -74 radians Master : 20031130; Slave: 20030921 Bt=70 [days] Bn=29 [m] wrapped unwrapped wrapped unwrapped wrapped unwrapped
  • 8. S2 Ascending T84 Velocity Field
  • 9. S4 Ascending T127 Velocity Field
  • 10. S2 Ascending T84 Time Series: examples (1) 1 2 3 1 2 3 master master master
  • 11. S4 Ascending T127 Time Series: examples (1) 1 2 3 1 2 3 master master master
  • 12. Vulcano, Eolie Islands (Italy) Descending track 494 30 scenes Envisat S2 Ascending track 129 37 scenes Envisat S2
  • 15. Decomposition in East and Vertical velocities Vertical velocity field Easting velocity field east west up down Ascending and descending results both cover the crater area and other parts of the island: wherever the two data are simultaneously available, a decomposition from ascending and descending displacement to easting and vertical components is possible, on a grid of 100x100 meters resolution
  • 18. Landslides detection and monitoring Identifying landslides: Piedmont Piedmont landslides
  • 19.  
  • 20.  
  • 21.  
  • 22.  
  • 23. Sentinel 1 A/B 22 years later 12 days revisit cycle
  • 24.
  • 25. Densifying the set of reference targets (Persistent Scatterers)
  • 26. Covariance matrices of multipass SAR Rows and columns correspond to progressive times Examples for: Persistent Scatterers (that terminate) Progressive decorrelation Seasonal effects
  • 27.  
  • 28. SqueeSAR uses nearly all interferograms, weighted with their coherence (see above). Phase linking is then carried out, estimating the sequence of the N-1 phases using the N(N-1)/2 interferograms. seasonal Markov
  • 29.  
  • 30. PS
  • 31. Squeezing all the information: Squeesar
  • 32.
  • 33.  
  • 34.
  • 35. Inversion results UD component Measures Model
  • 36. Inversion results EW component Measures Model
  • 37.  
  • 38.
  • 39. The reject across the fault
  • 40. Cosmo Skymed data: Total change: 1.8mm 28kt/mm
  • 41. We can map surface deformations into permeability changes; the InSalah story is condensed in 1 cm surface motion 1 mm sensitivity is achieved today with reduced resolution, but can improve with numerical atmospheric models. The revisit time is paramount
  • 42.
  • 43.
  • 44. We still have to solve efficiently the problem of the Atmospheric Phase Screen that biases the outcomes
  • 45. APS estimation procedure Model Parameters DEM
  • 46. Mathematical modeling of the APS Characterized by a variogram K,A,B,C LMS from the data Z from a DEM 4-parameter model
  • 47. Typical example of atmospheric data
  • 48. APS from Ground Based RADAR GBSAR measures APS fluctuations from ms to months (range = 4 km). The t a power law (Kolmogorov) has been verified on variograms from t > 1 s APS has considerably less power during night time APS in short time APS in long time σ φ =1 rad 2hours ~ 40km mm 2 mm 2
  • 49. K values: synoptic view Ascending Descending
  • 50. 6am
  • 51. 6pm
  • 52. What we can do today with good control of the Atmospheric Phase Screen
  • 53. The CESI experiment Estimated displacement (Radarsat 1 data) Vertical displacement (ground truth) Vertical displacement (estimated) Horizontal displacement (ground truth) Horizontal displacement (estimated) Rmse = 0.58mm (h!); 0.75mm (v)
  • 54. A Ground Based SAR at the XX dam The future: UAV, geosynchronous, both? IBIS-L
  • 55. Corner 2 Corner 1 Corner 4 Corner 3
  • 56. Permanent Scatterers analysis : displacement series
  • 57. Permanent Scatterers analysis : displacement series
  • 58. Conclusions for the Ground Based SAR (15 h. observation) The data show coherence > 0.8 The atmospheric effect is very low for the good meteorological conditions The rms noise is of the order of 0.1mm
  • 59.
  • 60. InSAR vs NWP T351, desce, 10UTC 30 images 10 std IWV maps T172, asce, 21UTC 41 images 20 std IWV maps The Rome dataset
  • 61. InSAR vs NWP Spectral decorrelation Long spatial wavelengths have a few hours correlation, short spatial wavelengths decorrelate in less than 1 hour
  • 62. InSAR vs NWP Analysis and separation of the stationary (layered) delay Layered delay Differential delay
  • 63. MM5 vs InSAR, Rome T172 9pm asce Prediction of the change with height
  • 64. InSAR vs NWP MM5: Positive in retrieving the change with height Very low correlation of turbulent terms Strong dependence on the starting time WRF performs better than MM5
  • 65. Meris vs InSAR Cloud coverage can be a problem Rome T351, morning passes
  • 66. Meris vs InSAR T351, Meris vs APS power spectra Similar frequency content after removing the stationary component
  • 67. Meris vs InSAR And the accuracy is not enough… Meris IWV [mm] InSAR IWV [mm]
  • 68.
  • 69. GPS vs InSAR The Como test-site 480 descending, 10am (28 images) 487 ascending, 9pm (38 images)
  • 70. GPS vs InSAR Delay, Como experiment, descending track Different ways for estimating the stationary term, for different stations (color)
  • 71. GPS vs InSAR Best performances, ~ 50% success Ascending Descending GPS std InSAR std diff std corr coeff GPS std InSAR std diff std corr coeff   3.69 3.37 3.43 0.53 3.43 1.72 2.85 0.56   2.34 4.27 4.27 0.28 2.73 5.26 3.52 0.79   3.61 5.00 1.98 0.95 0.63 3.35 3.03 0.59   2.94 3.36 1.06 0.95 5.36 6.07 2.79 0.89   2.18 1.15 1.27 0.89 1.67 1.83 2.05 0.32  
  • 72. Closer to any PS, the estimate of the APS improves: in a circle of PS with diameter D (m), the mean square APS reduces q times, q is lower than D q max q
  • 73. In the case of interferogram chaining, if there is a limited coherence γ from one take to the next, the measured phase is: L = number of looks (> 4); N = number of takes in the observation time σ atm = dispersion of the APS; w1, w2 noises with unit variance Signal and noise grow with the number of takes Even if γ =0.3, just 6 looks are equivalent to a PS, as the coherence is limited only by APS and not by decorrelation.
  • 74. MM5 has a strong “random” component and a more stable stratification estimation. WRF performs better, further work is needed. Meris has shown positive results in flat deserted areas, but not in our case studies. GPS has a success rate of 50%. The connection between InSAR and the other methodologies lies in the stationary term estimation. Permanent Scatterers (or interferogram chaining) are still the best way to accurately estimate the APS.
  • 75. The competition: Optical and GPS levelling: Approximate results
  • 76. A recent survey comparison for an accelerator design in Japan
  • 77.  
  • 78.  
  • 79.  
  • 80.  
  • 81. Photon-counting detector with an accuracy of 20 ps (3.3 mm two way) Max point rate ~ 1000 pts/sec. Low atmospheric effects Photon counting devices
  • 82.
  • 83.
  • 84.
  • 85. GEO synchronous S AR for A tmosphere and T errain observation Prof. A . Broquetas – UPC Univesitat Politècnica de Catalunya, Electromagnetic and Photonic Eng. Group Dr. D. D’Aria - ARESYS Prof. N. Casagli, G. Righini – Università degli studi di Firenze, Dept. of Earth Sciences Prof. S . Hobbs – Cranfield University, Cranfield Space Research Centre Prof. A. Monti Guarnieri, Prof. F. Rocca – Politecnico di Milano, Dept. of Electronic and Inf. Science Prof.sa R. Ferretti – University of L’Aquila, CETEMPS Prof. M. Nazzareno Pierdicca – Sapienza University of Roma, Dept. of Electronic Engineering   Prof. G. Wadge – University of Reading, Environmental Systems Science Centre Prof. Dr. H Rott – University of Innsbruck Dr. C. Svara, Dr. A. Torre – Thales Alenia Space Italia Earth Explorer EE8 proposal: COM3/EE8/32 GEOSAT
  • 86.
  • 87.
  • 88.
  • 89. GEOSAT: The Wide Beam GEOSAT may be a guest payload on Italian Space Agency (ASI) SIGMA missions, placed appox 9 o longitude . Look direction would then be close to SN for Europe. Backgound mission wide beam over central Europe (2000 km). NESZ = -19 dB, 0.5x 0.5km resolution, 20’ revisit. Fine resolution 10 x 10 m (twice daily revisit). Applications: WV maps, glaciers, urban.
  • 90.
  • 91. Any TV antenna becomes a good reflector 80 cm antenna  SNR = 21 dB (12 hours); SNR=2 dB (10 mins) 47 Millions of users parabolas in Europe (2002) Number of home satellite antennas 1999 millions 2002 millions 1999-2002 Increase % total population % millions % millions and Pacific 19.5 17.5 -11 -2.1 1 1 and US 13.7 20.1 47 6.4 4 6 EUROPE 33.8 43.6 26 8.7 4 5 Latin America and the 1.6 2.7 62 1.0 0 1 North Africa and the 8.9 11.9 29 2.6 3 4 0.0 0.0 177 0.0 0.0 0 Sub Saharan 0.4 1.2 83 0.3 0 0 World 77.9 96.8 22 16.8 1 2
  • 92.  
  • 93.
  • 94.

Notas do Editor

  1. PRIMA APPLICAZIONE DI QUESTA STATISTICA  INTERPOLO MEGLIO
  2. Si veda la dipendenza con topo (ETNA)