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Research note / Note de recherche
Time series analysis of subsidence at Tauharaand Ohaaki geothermal fields, New Zealand,
observed by ALOS PALSAR interferometry during2007–2009
Sergey Samsonov and Kristy Tiampo
Abstract. We present a modification of the Small Baseline Subset (SBAS) technique and apply it to L-band ALOS
PALSAR data for time series analysis of subsidence at Tauhara and Ohaaki geothermal fields in the Taupo Volcanic
Zone, North Island, New Zealand. We noticed that residual topographic noise presented in most ALOS PALSAR
interferograms that have been acquired with large perpendicular baselines is a significant limiting factor that
complicates their interpretation. We modified the original SBAS technique in such a way that the residual topographic
contribution is accurately estimated and removed. For testing purposes we acquired 12 ALOS PALSAR images between
13 January 2007 and 18 January 2009 and created 33 differential interferograms for use in SBAS processing. The calculated
time series of deformation at both geothermal fields show steady subsidence with rates of 5–6 cm/year that is clearly
mapped with the proposed technique. A comparison of results calculated with the proposed technique and with the original
SBAS algorithm shows that the proposed approach is more accurate and produces results of higher quality. The technique
presented in this paper can be used for time series analysis of any SAR data; however, it is most appropriate for L-band
ALOS PALSAR that acquires coherent images with large spatial baselines that also correlate with the time of acquisition.
Resume. On presente une modification de la technique SBAS (« Small Baseline Subset ») et on applique celle-ci aux donnees
ALOS PALSAR en bande L pour fin d’analyse des series chronologiques de la subsidence des champs geothermiques de
Tauhara et d’Ohaaki dans la zone volcanique de Taupo, North Island, Nouvelle-Zelande. On a observe que le bruit
topographique residuel present dans la plupart des interferogrammes de donnees ALOS PALSAR acquises avec des lignes
de reference perpendiculaires larges est un facteur limitatif important qui complique leur interpretation. On a modifie la
technique SBAS originale de maniere a ce que la contribution topographique residuelle soit estimee precisement et eliminee.
A titre d’essai, 12 images ALOS PALSAR ont ete acquises entre le 13 janvier 2007 et le 18 janvier 2009 et 33 interferogrammes
differentiels ont ete crees pour utilisation dans le traitement SBAS. Les series chronologiques calculees des deformations pour
les deux champs geothermiques montrent une subsidence constante avec des taux de 5–6 cm/annee qui peut etre clairement
cartographiee a l’aide de la technique proposee. Une comparaison des resultats calcules a l’aide de la technique proposee et avec
l’algorithme SBAS original montre que l’approche proposee est plus precise et produit des resultats d’une plus haute qualite. La
technique presentee dans cet article peut etre utilisee pour l’analyse des series chronologiques de tout type de donnees RSO;
toutefois, la technique est particulierement appropriee pour les donnees ALOS PALSAR en bande L qui acquierent des images
coherentes avec des lignes de reference spatiales larges qui sont aussi correlees avec le temps d’acquisition.
[Traduit par la Redaction]
Introduction
Synthetic aperture radar interferometry (InSAR) (Mas-
sonnet and Feigl, 1998; Rosen et al., 2000) is a valuable tool
for measuring ground deformation with high spatial resolu-
tion and high accuracy. It has been successfully used for
mapping of seismic (Massonnet et al., 1993; Wyss, 2001;
Jacobs et al., 2002) and volcanic (Massonnet et al., 1995;
Lu et al., 2000; 2002) deformation as well as anthropogenic
deformation caused by mining, oil, and groundwater extrac-
tion (Shmidt and Burgmann, 2003; Hole et al., 2007). The
standard interferometric processing steps include image
coregistration, interferogram formation, removal of earth
curvature and topographic phases, filtering, and phase
Received 14 October 2009. Accepted 21 April 2010. Published on the Web at http://pubservices.nrc-cnrc.ca/cjrs on 21 January 2011.
Sergey Samsonov.1 European Center for Geodynamics and Seismology, 19 Rue Josy Welter, L-7256 Walferdange, Luxembourg; and GNSScience, 1 Fairway Drive, Lower Hutt, New Zealand.Kristy Tiampo. Department of Earth Sciences, University of Western Ontario, London, ON N6A5B7, Canada.1Corresponding author (e-mail: [email protected]).
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unwrapping. The last step, interferometric phase unwrap-
ping, can be complicated or even impossible if the level of
coherence is low. The decorrelation effect or loss of coher-
ence between two SAR images depends on land cover, tem-
poral and spatial baselines, and SAR wavelength.
Until recently most interferometric studies were based on
C-band data from the European Remote-Sensing satellites
1 and 2 (ERS-1 and ERS-2), the Environmental Satellite
(Envisat), and RADARSAT-1 and were limited to sparsely
vegetated regions. For densely vegetated environments, C-
band interferometry produced limited results due to decorr-
elation (Hole et al., 2007). Advanced processing techniques
have been developed to reduce noise and to improve spatial
coverage. A stacking algorithm (Sandwell and Price, 1998;
Lyons and Sandwell, 2003; Wright et al., 2004) that can be
used for calculation of constant deformation rates reduces
atmospheric and topographic noise but at the same time
removes temporal characteristics of a signal. This is a signifi-
cant limitation in case of the nonlinear deformation that is
often observed in volcanic regions (Lu et al., 2000; 2002).
The Permanent Scatterer (PS) approach (Ferretti et al.,
2001; 2004) limits the processing only to those pixels that
behave consistently over a prolonged period of time by set-
ting a threshold on amplitude dispersion. This technique
largely depends on the ability to select a dense network of
permanent scatterers to reduce errors in phase unwrapping
and at the same time assumes a linear model of deformation.
The Small Baseline Subset (SBAS) technique (Berardino
et al., 2002; Usai, 2003; Lanari et al., 2004) selects interfer-
ograms with small spatial and temporal baselines that are
substantially coherent. Such interferograms are easy to
unwrap, and it is possible to perform time series analysis
for pixels that are coherent above a selected threshold on
all interferograms. A nonlinear PS modification and a com-
bination of PS and SBAS techniques were also recently pro-
posed (Ferretti et al., 2000; Hooper, 2008).
The recent launch of the Advanced Land Observation Sat-
ellite (ALOS) phased array type L-band synthetic aperture
radar (PALSAR) sensor (Rosenqvist et al., 2007), a successor
of the Japanese Earth Resources Satellite 1 (JERS-1) (1992–
1998), has expanded the applicability of InSAR to vegetated
regions. Since L-band interferometry is significantly more
coherent than C-band interferometry over vegetated surfaces,
phase unwrapping is usually simplified for a variety of land-
cover conditions and also for pairs with large spatial and
temporal baselines. Thus, for time series analysis it is reas-
onable to employ the SBAS technique that utilizes un-
wrapped data, rather than the PS technique that works
with wrapped interferograms or stacking that produces only
mean deformation rates. In this work we show that the SBAS
technique applied to ALOS PALSAR data produces excel-
lent results; however, some modifications are required to the
processing scheme to improve the accuracy of the results.
In this paper we present a methodology for removing
the residual topographic noise from the ALOS PALSAR
stacking and SBAS processing. A detailed description of the
technique is presented in the next section and followed by an
example. We produced a time series analysis of subsidence at
Ohaaki and Tauhara geothermal fields located in the central
Taupo Volcanic Zone (TVZ), North Island, New Zealand.
The detailed analysis of subsidence at these geothermal fields
for the time period prior to 2005 is presented in Allis et al.
(2009) based on ground leveling results. In Hole et al. (2007),
ground subsidence during 1996–2005 at these geothermal
fields was also observed; however, the spatial coverage of
C-band InSAR was limited to urban areas because of the
signal decorelation.
Modified Small Baseline Subset algorithm
Highly coherent interferograms can be successfully un-
wrapped and used in time series analysis based on the SBAS
approach. However, these interferograms are still contami-
nated with noise from various sources. This is atmospheric
noise that can be subdivided into tropospheric and iono-
spheric components and topographic noise caused by errors
or lack of resolution in the digital elevation model (DEM)
that was used for removal of the topographic phase. If a
large number of interferograms is used in the analysis, the
atmospheric contribution is minimized with SBAS proces-
sing since it is unbiased and uncorrelated in time. On the
other hand, residual topographic noise can be reduced or
amplified depending on the satellite acquisition parameters
and their variation over time.
We have observed that ALOS PALSAR acquisition para-
meters, such as spatial baselines, are correlated in time. A
similar pattern is observed for at least some paths of the
RADARSAT-2 satellite. The absolute value of perpendic-
ular baseline increases with time almost linearly, reaching
a maximum and then resetting, repeating the same pat-
tern (Figure 1). As a result, the topographic error, which is
Figure 1. ALOS orbital drift for ascending path 325 and descend-
ing path 628 over New Zealand relative to first acquisition. It is
clear that orbital pattern, and therefore topographic noise, are
correlated with time of acquisition.
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proportional to perpendicular baseline, also behaves linearly
with time. In the example presented in this paper, the sum of
perpendicular baselines of 33 interferograms used in SBAS
processing is close to 227 000 m, which causes significant
residual topographic noise that contaminates the results
and complicates their interpretation. To correct the topo-
graphic error, we apply an algorithm that separates deforma-
tion and topographic components and uses the latter for
estimation of DEM error. This general processing scheme
consists of the following steps:
(1) Standard DInSAR analysis is performed and inter-
ferograms are unwrapped. Orbital errors are estimated
and corrected, and interferograms are shifted against
chosen reference region(s).
(2) Further processing is performed only on pixels that are
coherent on all interferograms above a chosen thresh-
old. For each pixel of each interferogram the spatial
average in a neighboring window is calculated and
removed. The removed signal is assumed to be close to
the true deformation signal contaminated with the
spatially correlated atmospheric noise, and the residual
signal is a spatially uncorrelated topographic noise.
(3) For each pixel a linear regression of residual phase
versus perpendicular baseline is performed to estimate
DEM error, and an estimated topographic error is then
removed from the original interferograms. It is possible
to run steps 2–3 recursively on the same or varying size
window until conversion is achieved (DEM error
converges to zero).
(4) SVD decomposition is applied to the corrected data and
velocities are produced. The total deformation phase is
reconstructed by integration as in Kwoun et al. (2006).
The adjustment of the interferogram against one or more
chosen reference regions, as recommended in step 1, is neces-
sary for L-band data because of its sensitivity to atmospheric
and, in particular, to long wave-length ionospheric perturba-
tions. In practice this procedure is easy to perform assuming
that deformation far away from the region of interest is close
to zero. The separation of deformation and atmospheric and
topographic components before the regression analysis is
necessary because of the time dependence of the perpendic-
ular baseline. The size of the spatial window should be larger
than correlated topographic features. We noticed that spa-
tially uncorrelated topographic noise caused by random
errors in the DEM is almost completely removed using a
small (e.g., 4 6 4 pixels) spatial window, but correlated noise
(e.g., forested or agricultural areas) requires a larger spatial
window (e.g., 32 6 32 pixels or larger).
Table 1. ALOS PALSAR images (path 325 frame 6390, FBS and
FBD, HH polarization) used in this study and perpendicular base-
line and time span calculated from first acquisition.
Image No. Date acquireda BH (m) t (days)
1 20070113 0 0
2 20070228 826 46
3 20070716 224 184
4 20070831 181 230
5 20071016 2397 276
6 20071201 2820 322
7 20080116 21066 368
8 20080302 21536 414
9 20080417 21816 460
10 20080902 3100 598
11 20081018 3217 644
12 20090118 2456 736
aDates are in year–month–day format.
Figure 2. Original (a) and corrected (b) linear deformation rates calculated from SBAS time series, and estimated residual topographic error
(c). Tauhara (bottom left) and Ohaaki (center) geothermal fields are outlined with black rectangles. Residual topographic noise is clearly
observed in (a).
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Results
We used our proposed modification of the SBAS tech-
nique to map subsidence at Tauhara and Ohaaki, the two
largest geothermal fields in the TVZ (Allis, 2000; Kissling
and Weir, 2005) that are extensively exploited for power
generation. Results of the C-band interferometric studies
were presented in Hole et al. (2007), and the most recent
results of ground leveling were presented in Allis et al.
(2009).
For this study 12 fine beam single (FBS) and fine beam
dual (FBD) polarization ALOS PALSAR images from path
325, frame 6390 (Table 1) were collected and processed from
raw format, and then FBD images were resampled to the
resolution of FBS images. Interferometric pairs with perpen-
dicular baseline less than 1000 m were selected, and standard
interferometric processing was performed that consisted of
coarse and then fine image coregistration to a single master,
interferogram formation, removal of earth curvature and
topographic phases using the 90 m Shuttle Radar Topography
Mission (SRTM) DEM, filtering, phase unwrapping, and
residual orbital correction using ground control points data.
The final resolution of produced differential interferograms is
approximately 30 m 6 30 m (multilooking 5 6 10), which is
significantly higher than the resolution of the DEM (90 m).
Higher resolution DEMs are available for New Zealand; how-
ever, their accuracy has not been validated, whereas the accu-
racy of the SRTM DEM is known to be about 7 m (Farr and
Kobrick, 2000).
Time series were calculated with the proposed modification
of the SBAS technique and linear deformation rates were esti-
mated for a 40 km 6 40 km subregion of the central TVZ. The
standard SBAS technique, without any topographic correction
(Lanari et al., 2004), and the modified SBAS technique pro-
posed in this paper were tested. Linear deformation rates cal-
culated with the standard SBAS are shown in Figure 2a and
with the modified SBAS in Figure 2b. The presence of topo-
graphic noise is clearly observed on the left image, such as
long linear features in the center of the image, and also spa-
tially correlated topographic noise caused by the growth of
vegetation in the bottom-right corner. The spatially uncorre-
lated noise is successfully removed in Figure 2b. It is also
possible to remove spatially correlated noise by choosing a
larger window (e.g. 64 6 64 pixels). The residual topographic
noise was calculated and presented in Figure 2c; its standard
deviation was estimated to be about 5 m. For a stable region
within this image we also estimated the standard deviation
for linear deformation rates calculated by fitting a linear
trend to the SBAS time series and for mean deformation rates
calculated by stacking before and after topographic correc-
tion was applied (Table 2). However, these calculations have
to be approached carefully because in a region such as the
TVZ, the selection of a stable region may not be accurate.
Table 2. Standard deviation estimated
for linear deformation rates calculated
by fitting linear trend to SBAS time series
and for mean deformation rates calcu-
lated by stacking before and after topo-
graphic correction applied.
SD (cm/year)
Linear rate 1.12
Corrected linear rate 0.66
Stack 0.90
Corrected stack 0.80
Figure 3. Time series analysis of Tauhara geothermal field deformation using modified SBAS technique applied to ascending images from
path 325. Subsidence is calculated between 20070113 (in year–month–day format), and date provided on images is caused by extraction of
groundwater. Each image is approximately 2.4 km 6 2.4 km.
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The 2D time series of subsidence observed by the pro-
posed technique at the Tauhara and Ohaaki geothermal
fields are presented in Figures 3 and 5. These images, with
an approximate spatial extent of 2.4 km 6 2.4 km, show
ground deformation occurring between 20070113 (master
image; date is in year–month–day format) and the date
shown. The maximum value of deformation is approxi-
mately 14 cm, which corresponds to about a 5–6 cm/year
rate of subsidence. For comparison purposes, time series
for the Tauhara geothermal fields were calculated by apply-
ing the proposed modification of the SBAS technique to a set
of descending ALOS PALSAR images from path 628, frame
4400 (Figure 4). The magnitude of ground deformation is
approximately similar for the ascending and descending set
of images, but their shape is different, which is due to the
presence of a large horizontal component. Unfortunately,
descending images from path 628 do not provide coverage
of the Ohaaki geothermal field.
Figure 4. Time series analysis of Tauhara geothermal field deformation using modified SBAS technique applied to descending images from
path 628. Subsidence is calculated between 20070715 (in year–month–day format), and date provided on images is caused by extraction of
groundwater. Each image is approximately 2.4 km 6 2.4 km.
Figure 5. Time series analysis of Ohaaki geothermal field deformation using modified SBAS technique applied to ascending images from
path 325. Subsidence is calculated between 20070113 (in year–month–day format), and date provided on images is caused by extraction of
groundwater. Each image is approximately 2.4 km 6 2.4 km.
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The 1D time series are also presented for the regions of
fastest subsidence at the Tauhara (ascending and descend-
ing) and Ohaaki geothermal fields (Figures 6a and 6b) and
for a randomly chosen region with a large residual topo-
graphic error (Figure 6c). The time series were calculated
using standard SBAS technique without applying any topo-
graphic correction (marked as uncorrected), and applying
standard regression (marked as regression) and proposed
topographic correction (marked as 32 6 32).
For the Tauhara geothermal field, both ascending and
descending set of images show approximately steady subsid-
ence with similar rate (slope). Application of a standard
topographic correction significantly distorts the time series.
In particular, for a descending set the corrected time series
are clearly distorted. The shape of distortion resembles the
temporal pattern of the perpendicular baseline observed in
Figure 1. At the same time, the time series calculated by
applying the proposed topographic correction are not dis-
torted. Another type of distortion is observed for the Ohaaki
geothermal field. Here standard regression produces time
series with underestimated rate, which is caused by the
correlation of the perpendicular baseline with the time of
acquisition.
Discussion and conclusions
The technique presented in this paper is a modification of
the Small Baseline Subset (SBAS) method applied to time
series analysis of ALOS PALSAR interferograms. It success-
fully estimates and removes residual topographic noise from
a set of intreferograms by performing a linear regression of
the residual phase versus perpendicular baseline. The resid-
ual phase is calculated for each coherent pixel as a difference
of the observed phase and its spatial average. The average
value is calculated in the spatial window and contains the
deformation signal contaminated with atmospheric noise.
Since the residual phase contains only the residual topo-
graphic component, the accuracy of the proposed topo-
graphic correction is higher than if it was calculated from
the observed phase alone.
Figure 6. Time series of ground deformation for Tauhara (a) and Ohaaki (b) geothermal fields and for region with large residual
topographic error (c).
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The proposed technique can be successfully applied
to a dataset from any satellite, but it is more relevant for
L band because the technique is coherent in densely vege-
tated environments even for interferometric pairs with a
large perpendicular baseline. In particular, this technique
is found to be useful for ALOS PALSAR time series analy-
sis because PALSAR images are acquired with large perpen-
dicular baselines whose lengths correlate with the time of
acquisition.
In this paper we used the technique for measuring sub-
sidence at the two largest geothermal fields, Tauhara and
Ohaaki, located in the central Taupo Volcanic Zone
(TVZ), New Zealand, using 12 ALOS PALSAR images
acquired between 13 January 2007 and 18 January 2009.
Steady subsidence with rates of 5–6 cm/year is clearly visible
on the presented time series for both geothermal fields, and
location and spatial extent of the subsidence is in agreement
with previous studies based on C-band interferometry and
ground leveling.
We also performed a comparison of the proposed tech-
nique with the standard SBAS technique. The residual topo-
graphic noise observed on the image calculated with the
original SBAS was successfully removed on the image calcu-
lated with our modified SBAS technique, simplifying its
interpretation. We have shown that L-band interferometry
can be successfully used for time series analysis, in spite of its
large wavelength and high sensitivity to residual topographic
noise, for mapping of ground deformation in densely vege-
tated regions where standard C-band sensors produced only
limited results. The nature of residual topographic noise is
not absolutely clear at this time and needs to be studied
further. We identified noise produced by vegetation. This
could be caused by either changes in land cover since the
time of acquisition of C-band SRTM data that was used
for DEM generation or different wave propagation and
interaction of C- and L-band SAR with vegetation and soil.
We also identified a few regions of a large residual topo-
graphic noise around Taupo as anthropogenic.
Acknowledgments
This work was supported by GNS Science and the
Foundation for Research, Science and Technology, New
Zealand. We thank John Beavan for reviewing the manu-
script. The ALOS PALSAR data was used in this work with
the permission of the Japan Aerospace Exploration Agency
(JAXA), the Ministry of Economy, Trade and Industry
of Japan (METI), and the Commonwealth of Australia
(Geoscience Australia) (‘‘the Commonwealth’’). JAXA,
METI, and the Commonwealth have not evaluated the data
as altered and incorporated within this work and therefore
give no warranty regarding its accuracy, completeness, cur-
rency, or suitability for any particular purpose. The work of
Sergey Samsonov was in part supported by the Luxembourg
National Research Fund (FNR). The images were plotted
with GMT software, and SRTM DEM data was provided by
the U.S. Geological Survey (USGS).
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