HR: 0800h
AN: G31A-0786 [Abstracts]
TI: On the Applicability of Taylor's ``Frozen-Flow'' Hypothesis to Spatial and Temporal Observations of
Atmosphere Path Delay From InSAR and GPS
AU: * Onn, F
EM: phae@stanford.edu
AF: Department of Electrical Engineering, Stanford University, Stanford, CA 94305
United States
AU: Zebker, H A
EM: zebker@stanford.edu
AF: Department of Electrical Engineering, Stanford University, Stanford, CA 94305
United States
AB:
Turbulent mixing of water vapor in the lower troposphere produces fluctuations of the spatio-temporal distribution of neutral
atmosphere refractive index at microwave frequencies. These variations cause phase shifts in Interferometric Synthetic
Aperture Radar (InSAR) images and Global Positioning System (GPS) signals. Here, we compare spatial observations of
atmospheric phase shifts from a radar
interferogram of Southern California with temporal measurements of atmospheric delay obtained from a network of continuous
GPS receivers operating in the imaged area. We translate temporal observations to equivalent spatial samples of delay through
Taylor's ``frozen-flow'' hypothesis. We use the ``frozen-flow'' hypothesis in conjuction with Kolmogorov turbulence theory
to derive theoretical expressions for
temporal and spatial power spectra and structure functions of
atmosphere delay. We show that temporal and spatial power spectra and structure functions have similar theoretical forms and
parameters. Further, the theoretical expressions for temporal power spectra and structure functions require knowledge of the
magnitude and direction of wind about each GPS receiver, which we estimate from the timeseries of delays at each site. These
wind estimates and the theoretical expressions are fit to computed power spectra and structure functions of delay derived
from the GPS and InSAR data. The
parameters derived from the least-squares fitting of temporal power spectra and structure functions from GPS are used to
infer spatial models of power spectra and structure functions of interferometric phase. Comparison of these inferred models
with computed spatial power spectra and structure functions from the InSAR phase residuals demonstrate the validity of
applying Taylor's hypothesis to GPS and InSAR atmospheric delay measurements. This correspondence between measurements of
atmosphere delay from the two datasets suggests that
full timeseries of atmosphere path delay from GPS, as opposed to delay observations taken at the radar acquisition times
only, can be used to mitigate atmospheric effects in radar interferograms.
DE: 1229 Reference systems
DE: 1243 Space geodetic surveys
DE: 1244 Standards and absolute measurements
DE: 1294 Instruments and techniques
DE: 1299 General or miscellaneous
SC: Geodesy [G]
MN: 2004 AGU Fall Meeting