Precipitable
Water Vapor (PWV) in the atmosphere can
be estimated from GPS data by determining
the travel time delay of GPS radio signals
through the troposphere
Atmospheric
water vapour estimation from the GPS data, surface
total pressure and the mean tropospheric temperature
is the most cost effective method which gives
all weather good spatio-temporal coverage. Precipitable
Water Vapor (PWV) in the atmosphere can be estimated
from GPS data by determining the travel time delay
of GPS radio signals through the troposphere.
Water vapour is already identified as an important
scientific input needed at various sites for atmospheric
and space related studies: improving short term
cloud and precipitation forecasts, sharpening
images of mesospheric and stratospheric phenomena,
to name a few. Its systematic estimation at and
around GPS sites would, in turn, considerably
enhance the vertical precision of site coordinates,
thereby making it a valuable tool in monitoring
and modelling of the vertical deformation of environmentally
stressed sites.
Radio signals transmitted by GPS satellites are
refracted by the earth’s atmosphere and
the ionosphere, thereby resulting in their delayed
arrival at a receiving station, relative to their
vacuum path. The delay caused by the ionosphere
depends on the total electron content along the
path and the signal frequency. Signals monitored
at two frequencies using dual frequency GPS receivers,
therefore, provide a tractable means of estimating
the time delay contributed by the ionosphere,
and this quantity can be subsequently used to
estimate the distribution of TEC (Total Electronic
Content) in the regional ionosphere. The troposphere,
on the other hand, is non-dispersive.The path
delay caused by it is not dependent on frequency
but on the constituents of the atmosphere that
are a mixture of dry gases and water vapour. The
signal delays introduced by these components,
when vertically scaled, represent the Zenith Total
Delay (ZTD). The Signal delay (Bevis et al., 1992)
is measured by a GPS receiver from all satellites
in view, when mapped to the vertical using the
cosec function (elevation angle of the satellite)
and added, yield the zenith total delay (ZTD).
Saastamoinen (1972) showed that the ZTD can be
expressed as the sum of Zenith Hydrostatic Delay
(ZHD) and Zenith Wet Delay (ZWD). At sea level,
ZTD has a magnitude of ~230 cm, of which, the
hydrostatic and wet components contribute about
~90% and ~10% respectively, corresponding approximately
to the ratio of the total mass of dry air to water
vapor in the atmosphere (Cucurull et al., 2002).
PWV
from GPS data
ZTD at a GPS site is estimated
from analysis of the GPS data generated at the
site along with those at a network of widely
spaced IGS (International GPS service) monitoring
sites. After accounting for all the errors due
to ionospheric refraction, orbital accuracy,
antenna phase center modeling, signal mutli-path
and scattering by the neighbourhood environment
of the receiver, the residual quantity is modelled
as being the contribution of the neutral atmosphere.
The ZHD is modelled from the surface pressure
data at the site, applying a mapping function.
ZWD is then obtained by subtracting ZHD from
ZTD. The Zenith wet delay thus obtained, is
related to the PWV directly above the GPS antenna
through a factor proportional to the mean temperature
of the atmosphere (Sridevi Jade et al., 2005).
C-MMACS scientists, in collaboration with scientists
of the various academic host Institutions have
established 14 permanent GPS stations in different
parts of the country: Bangalore, Kodaikanal,
Bhopal, Almora (UP), Leh and Hanle in Ladakh,
and eight others in northeastern India. These
stations form part of the national network of
GPS stations sponsored by the Department of
Science and Technology for earthquake hazard
assessment studies. All these stations are slated
to be equipped with meteorological packages
within the next one year so that water vapour
estimations at these sites can be routinely
made for research and development of potentially
operational frameworks for real-time assimilation
in meteorological data for numerical weather
prediction.
At present, contemporaneous meteorological data
for such estimations are available only at four
sites: Bangalore (13.02° N, 77.57º
E), Kodaikanal (10.23° N, 77.47º E),
Hanle (32.78° N, 78.97º E), and Shillong
(25.57° N, 91.86º E). Accordingly,
available daily mean data at these sites for
the years 2001, 2002 and 2003, have been used
to study the variability of water vapour across
a wide region from the temperate Bangalore (
MSL ht 929.32m) to the high altitude desert
site at Hanle (MSL ht 4324.41m) .
Data analysis
Zenith
Total atmospheric delay at the above sites was
obtained from the analysis of GPS data using GAMIT/
GLOBK 10.05 data processing software along with
the IGS (International GPS Service) sites. These
have been compared (Figure 1) with the Zenith
total delay at the IGS sites hosted on the SOPAC/CSRC
archive (http:// garner.ucsd.edu/pub/troposphere/)
and the difference between the expected and observed
values fall within the band of ± 0.03m.
The Zenith Total atmospheric delay obtained from
these analyses for the four GPS sites were used
to derive the Zenith wet delay and Precipitable
Water vapour (PW) in mm and IWV in kg/m2 using
the surface temperature and pressure values to
constrain the atmospheric model. The ratio of
derived values of PW/ZWD is found to be 0.165
at Bangalore, 0.163 at Shillong, 0.140 at Hanle
and 0.157 for Kodaikanal which compare well with
the value of 0.15 ± 20% given by Bevis
et al. (1994).
GPS derived IWV values presented here, are the
first such determination over the Indian subcontinent.
GPS derived integrated water vapour estimation
at four GPS sites geographically spread across
the Indian subcontinent (Figures 2 to 4) show
the variability of water vapour across the sites
with Bangalore having the highest value, Hanle
the lowest, Shillong and Kodaikanal having intermediate
values, each corresponding well with its geographical
location. The Inter- annual variability of IWV
(Figure 3 and 4) over the 3 years roughly corresponds
to the Indian monsoon intensity with 2002 being
the lean one. Water vapour variations (Figure
4) over the year for all the 3 years roughly correspond
to the Indian monsoon period with December
to March being the dry season and June to October
the peak monsoon period, and the intervening months
marking a transitional period. IWV estimated from
GPS data (Figure 4) is virtually inphase with
the ground humidity values.
Future
Whilst
these results are still far from providing the
vertical profile of water vapour in the atmosphere,
that needs further developments and modelling
to make water vapour tomography possible, currently
available approaches as demonstrated above can
yield accurate and reliable estimates of vertically
integrated IWV above a GPS antenna site using,
all weather, inexpensive GPS receivers capable
of being deployed widely. 4-dimensional assimilation
of IWV estimates when available from widely spread
GPS stations, into a meso-scale model, have the
potential of greatly offsetting the uncertainties
of meteorological forecasts by creating continually
updated initial state models. This, however, necessitates
real time or near real-time availability of IWV
estimates which, in turn, require installation
of meteorological sensors at all the GPS sites
to measure the surface pressure and temperature
to desirable accuracy. With consistent data analysis
in terms of methods and models, ground-based GPS
will, as the length of the time series grows,
become an independent data source in climate monitoring.
Meanwhile, simulation experiments designed to
assess the quality improvement of forecasts when
GPS derived IWV data are incorporated, may generate
insightful ideas as to how best may one fruitfully
exploit the potential possibilities.
Acknowledgements
We acknowledge
the scientific support from Drs S K Srivastav,
S K Subramanian and SC Sahu of IMD. We would also
like to acknowledge the help rendered by Dr Tushar
Prabhu, BC Bhatt and Dr SS Gupta of Indian Institute
of Astrophysics.
References
Bevis,
M., Businger, S., Herring, T.A., Rocken, C., Anthes,
R.A., Ware, R.H., 1992. GPS Meteorology: remote
sensing of atmospheric water vapor using the global
positioning system. Journal of Geophysical Research,
97(D14), 15787-15801.
Bevis M., Businger, S., Chiswell, S., 1994. GPS
meteorology: mapping zenith wet delays on to precipitable
water. Journal of Applied Meteorology, 33, 379-386.
Cucurull, L., Sedo, P., Behrend, D., Cardellah,
E., and Rius, A., 2002. Integrating NWP products
into the analysis of GPS observables. Physics
and Chemistry of the Earth, 27, 377-383.
Saastamoinen, J., 1972. Atmospheric correction
for the troposphere and stratosphere in radio
ranging of satellites. In: Henriksen, S.W., et
al. (Ed.), Geophysical Monograph Series, vol.15,
American Geophysical Union, pp.245-251.
Sridevi, J., Vijayan, M.S.M., Gaur, V.K., Prabhu,
T.P., Sahu, S.C., 2005. Estimates of Precipitable
Water Vapour from GPS data over the Indian subcontinent.
Journal of Atmospheric and Solar- Terrestrial
Physics, 67, 623-635.
Sridevi
Jade and MSM Vijayan
Center for Mathematical Modelling and Computer
Simulation, Bangalore, India sridevi@cmmacs.ernet.in