Snow property extraction based on polarimetry and differential SAR interferometry

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Snow property extraction based on polarimetry and differential SAR interferometry S. Leinß, I. Hajnsek Earth Observation and Remote Sensing, Institute of Enviromental Science, ETH Zürich

TerraSAR X and TanDEM X A fantastic playground with many options. TanDEM X VV HH polarimetic phase difference SAR: Synthetic Aperture Radar 0 e i Single Look Complex (SLC) 1 2 Interferometry t+11d t multi pass interferometry 1,t 2,t TerraSAR X single pass interferometry 0 : backscatter signal (microwave), single, dual, quad pol (VV, HH, VH, HV) D InSAR (change detection) DEMs X Band: = 9.65 GHz, = 3 cm, Resolution: 3 m, Repeat cycle: 11 days Monostatic multi pass Interferometry: t = 11 days Bistatic single pass Interferometry: t = 0 2

Why Radar techniques for Snow? Snow is a thin volume layer which is mostly transparent for microwave (T 0 C). High frequency required to get interaction and to avoid total penetration: 5 20 GHz. How can we characterize snow by means of the complex interferometric coherence? What causes polarimetric phase differences and temporal decorrelation? Under which conditions can we characterize snow? Snow fall, melting, temperature change and wind drift cause high temporal variations! Which parameters do we get? Snow / no snow? Snow depth? Snow water equivalent? Water content? Stratigraphy? Soil information? 3

Sodankylae Google Earth view forest Wetland / bog forest forest Photos from NOSREX III ground campaign, Courtesy to ARC FMI 4 4

Sodankylae 2012: Repeat pass coherence ( t = 11 d) May Oct. 01 Oct. 12 Oct. 23 Nov. 03 Nov. 14 Nov. 25 Dec. 06 Dec 17 Dec. 28 Jan. 08 Jan. 19 30th +3 C, no snow Accumulating snow........... 10.. 30 C accumulation wet / melting Meadows and frozen wetland: low coherence snowing or melting. Further interpretation (RVoG, etc. ) difficult due to temp. 30th stable weather Feb. 10 Feb. 21 Mar. 03 Mar. 14 Mar. 25 Apr. 05 Apr. 16 Apr. 27 May 08 May 19 30th +20 cm snow +10 cm snow +10 cm snow cold stable weather, snow depth: 80 cm Setting.......... Melting........... No snow left, +10 C 5

Polarimetric Phase Difference (PPD) c = VV HH (co polar) What about this: c =??? Is there any signature of snow? Snow as a layered structure? c = 0 c = <0> c = ±180 c = X c = w 1 X + w 2 180 rough surface: distribution around zero. (dihedral reflection, HH VV ) X: random, uniform distribution (random volume) (mixture) 6

Snow is structures as layers. Microwaves reflections at layers are confirmed by the Swiss Institute for Snow and Avalanche Research (SLF). =??? c 60 cm 7 Ice layers in a block of wind compressed snow

co polar PPD over the winter 20 10 0 average PPD c > Ground campaigns: Ground campaign TSX / TDX dual pol data (HH, VV): c = VV HH (co polar) Nov 04 Jan 03 Jan 03 Jan 09 Jan 14 Jan 14 Jan 25 Feb 16 March 26 April 28 May 20 8

Ground truth vs. PPD c 1) Measure snow depth in the field. 2) Classification: no Forest / Forest. 3) Calculate PPD: c = VV HH 4) Compare PPD with snow depth. 5) Plot correlations for acquisitions. 0.5 normalized intensity 9

Acquisition date: 03 Jan 2012, orbit 32 Ground data takes: 9th + 10th Jan, 2012 Correlation between snow height and Polarimetric phase difference VV HH for forested and not forested areas. backscatter and snow tracks 10

Acquisition date: 03 Jan 2012, orbit 39 Ground data takes: 9th + 10th Jan, 2012 Correlation between snow height and Polarimetric phase difference VV HH for forested and not forested areas. backscatter and snow tracks 11

Correlation between snow depth and PPD VV HH. Acquisition date: 09 Jan 2012, orbit 130 aoi = 32.7 Ground data takes: 9th + 10th Jan, 2012 backscatter and snow tracks 12

Correlation between snow depth and PPD VV HH. Acquisition date: 14 Jan 2012, orbit 39 aoi = 39.7 Ground data takes: 9th + 10th Jan, 2012 backscatter and snow tracks 13

Correlation between snow depth and PPD VV HH. Acquisition date: 14 Jan 2012, orbit 32 aoi = 41.5 Ground data takes: 9th + 10th Jan, 2012 backscatter and snow tracks 14

Correlation between snow depth and PPD VV HH. Acquisition date: 25 Jan 2012, orbit 32 aoi = 41.5 Ground data takes: 23 th + 24 th Jan, 2012 backscatter and snow tracks 15

Correlation between snow depth and PPD VV HH. Extrem increase of temperature. +20 cm of fresh humid snow. > no layers visible. (small penetration.) Acquisition date: 16 Feb 2012, orbit 39 aoi = 39.7 Ground data takes: 7th 9th Feb, 2012 22nd 26th Feb, 2012 (heavy snowfall between campaign and acquisition) backscatter and snow tracks 16

Correlation between snow depth and PPD VV HH. frequent humid snow fall, 0 C. only a few layers visible. penetration only in top layer. Acquisition date: 26 March 2012, orbit 130 aoi = 32.7 Ground data takes: 23rd March, 2012 backscatter and snow tracks 17

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Why is Snow depth proportional to ( VV HH )? Suggestions: 1. Propagation speed differs for HH and VV. 2. Different penetration depth for HH and VV. 3. Linear combination of phase jumps at different layers. #2 is supported by different Fresnel coefficients at snow layers for polarizations. n 0 n 1 R VV,1, R HH,1 HH E VV E VV HH n 2 n j R VV,2, R HH,2 Summ of all scattering components has a non zero phase difference: VV HH. 19

Conclusion Repeat pass InSAR: Snowfall and melting events cause strong decorrelation of repeat pass Interferometric coherence. > Microwave interaction with snow layer! Polarimetry: Clear evidence for correlation between PPD VV HH and snow over open area. (Volume scattering in forests destroys a clear phase signal). Model is under developement and ideas area welcome! Churchill: 2011/2012 Special thanks to FMI, Enveo, Gamma Remote Sensing, EC, NASA JPL, WSL SLF for ground campaigns. Distributed measurements make incomparably better validations possible than fixed stations.

21

Spatial comparison of snow depth along transect with PPD. Co polar phase difference c follows the snow depth along the transect. 22

Sodankylae Google Earth view TerraSAR X Dr. Chris Derksen (EC) Mark Dixon (NASA) Fotos from NOSREX III ground campaign, Backscatter signal 0 Courtesy to ARC FMI 23 Student participating in the campaign via FMI. 23

Change detection by coherence decay: 11 d 22 d 33 d 44 d Strong temporal decorrelation in X band caused by Snowfall, melting or strong wind drift. 0.26 For each point the coherences of at least 8 scenes of the same testsite were averaged. Decay time of coherence: t 1/2 = 4.2 days. Repeat times of a few days are favourable. 24

Decay of coherence for X band TSX data Decay time of Coherence: t 1/2 = 4.2 days > Very valuable if repeat times of a few days are possible. For each point 8 or more scenes of the same testsite were used and the coherences values calculated from each scene were averaged. The red line is a fitted exponential.

Differential InSAR: Local phase patterns due to freezing? Local phase pattern correlate with freezing structures on the ground. Up/down lift by freezing/thawing cycles? 26

InSAR: Random Volume over Ground Model ~ Vol f ( z) Expected volume coherence. e i z z o h v o f ( z) e f(z): Vertical reflectivity function = backscattered radiation per depth volume. h v o i z z f ( z)dz dz f(z) f(z) 2 Layer Scattering Model Random Volume Realistic reflectivity function / modelled reflectivity function for a snow pack. Z E 1 E 2 Ground Expected coherence for homogeneous snow layer over ground: Good sensitivity to snow volume can be archived for z = ~2...7 m -1 corresponding to baselines of Acq. 1 b = 5... 8 km -> terrasar-x (h = 514 km) b = 10 30 m -> airplane (h AGL =2.5 km) b = 15 25 m -> airplane ( h AGL =1.5 km)

Baseline overview for TanDEM X

DEM generation with TDX DEM Rottenbach, Tueringen Germany. (Thanks to Nicolas for the data) > gap filling algorithm 29

Generation of a DEM DEM Corrected DEM not corrected 30

TanDEM X Pol InSAR: DEM(VV) vs. DEM(HH) Coherence Interferometric HH VV phase difference (HH) (VV) 06 Oct 2011 17 Oct 2011 28 Oct 2011 08 Nov 2011 19 Nov 2011 11 Dec 2011 22 Dec 2011 02 Jan 2012 31

Polarimetry: Phase differences VV HH Values < 0.4 are masked and set to the average phase difference. Is there a relation between VV HH and snow? Validation not possible due to lack of ground data! Polarimetric Absolut Color: value Phase phase of coherence differences (VV,HH) (50 between x 30 px with smoothing HH a and 7 x 9 VV pxwindow) (50 window. x 30 px window). Brightness: Absolut value of coherence (7x9 px window).

TanDEM X: Double D InSAR Phase difference VV(t+11) HH(t+11) VV(t) HH(t) Coherence HH VV 06 Oct 2011 17 Oct 2011 28 Oct 2011 08 Nov 2011 19 Nov 2011 Differential complex coherence HH (t) VV(t+11) ** VV HH(t) 11 Dec 2011 22 Dec 2011 02 Jan 2012 33

Abs_coherence complex interferogram. ( interferogram) Interferometry data churchill 2010/2011 2011/2012 34