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621.369.9
Numerical-analytical model of backscattering coefficient of pure lake ice in C-band
K.
V. Muzalevskiy 1, I. N. Yeltsov 2,
A. N. Faguet 2, L. V. Tsibizov 2, D. E. Ayunov 2
1 Kirensky Institute of
Physics, Federal Research Center KSC Siberian Branch Russian Academy of
Sciences, Akademgorodok 50, bld. 38, Krasnoyarsk, Russia
2 Trofimuk Institute of Petroleum
Geology and Geophysics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk,
Russia, Koptug ave. 3, Novosibirsk, Russia
The paper is received
on November 11, 2019
Abstract. In
this paper, we propose a numerical-analytical model for diffuse scattering
waves in C-band by a random layered-inhomogeneous medium of the pure lake ice
cover, taking into account the reflection of the wave from the plane ice-water
boundary. The created model allows calculating the scattering coefficient from
the ice cover depending on the correlation length and the average volumetric
value of air bubbles in ice. It was assumed that the average volumetric content
of air bubbles does not depend on the thickness of the ice. Testing of the
proposed model was performed for one of the lakes located in the Lena River
Delta, using Sentinel-1 satellite backscattering data on HH-pol and surface air
temperature data from September 2017 to June 2018. Surface air temperature data
were used to estimate the ice thickness based on the Lebedev's empirical model
describing the relationship between the ice thickness and the sum of the
absolute values of the negative air temperatures, taking into account the
thickness of the snow cover. The proposed model with RMSE = 0.2dB and the R2
= 0.960 describes the Sentinel-1 measured temporal dependences of the
backscattering coefficient during of increasing of the ice thickness (0-2m) in
the test site of the lake. In addition, the created model allows predicting the
ice thickness with the error of RMSE = 17.6 cm and R2 = 0.811,
determining both the total value and the absolute values of the surface air
temperature from the moment of ice formation on the lake from Sentinel-1 radar
data with an error of RMSE = 158,9°C days (R2 = 0.984) and RMSE =
6.0°C (R2 = 0.59), respectively. The proposed method does not take
into account the effect of vertical heterogeneity of the porosity and ice
structure, roughness of the air-ice, ice-water, and interlayer boundaries in
ice. An a priori knowledge of the value of mean porosity of the sensing ice
with an error of about 1% is essential. This information can be obtained from a
statistical analysis of ground-based measurements. The proposed methodology
needs further verification on a larger number of test tundra lake sites.
Key words: radio-location,
fresh lake ice, radar scattering model, ice thickness, air temperature.
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For citation:
Muzalevskiy K.V., Yeltsov I.N., Faguet A.N.,
Tsibizov L.V., Ayunov D.E. Numerical-analytical model of backscattering coefficient of pure lake ice in C-band. Zhurnal
Radioelektroniki - Journal of Radio Electronics. 2019. No. 12. Available at http://jre.cplire.ru/jre/dec19/8/text.pdf
DOI 10.30898/1684-1719.2019.12.8