V.A. Malyshev – Dr.Sc.(Eng.), Professor,
Department of Common Military Discipline, MESC «Zhukovsky–Gagarin Air Force Academy» (Voronezh) E-mail: vamalyshev@list.ru
V.G. Mashkov – Ph.D.(Eng.), Associate Professor, Dr.Sc.Candidate,
Department of Operation of Radio Equipment (Flight Support), MESC «Zhukovsky–Gagarin Air Force Academy» (Voronezh) E-mail: mvgblaze@mail.ru
The accuracy of measuring the depth of snow and the thickness of the ice cover when landing a helicopter type aircraft (HTA) on an unprepared snow and the ice pad directly affects the level flight safety. Landing on the snow-covered pond with snow depth above the permissible or thickness the ice cover below the permissible may lead to falling through the snow, ice, or overturn HTA day and night in simple and adverse weather conditions (fog, haze, rain, snow, dust, or smoke the atmosphere), and also in conditions of raised snow rotating screw. The need for such a landing may be caused, for example, by the delivery goods, search and rescue operations, and the evacuation the wounded.
When measuring the depth snow and ice cover thickness using radar, its accuracy will depend on the accuracy measuring the time delay and the propagation speed the electromagnetic wave (EW) in a medium other than the EW propagation speed in a vacuum c 2,99792458 10 8 m/s, depending on its dielectric constant. A snow-ice surface is a three-component medium that is a mixture ice
with water and air inclusions. In turn, the dielectric constant the snow-ice underlying surface, depending on the density and proportion water content, will vary significantly. Since, for example, the actual part the static permittivity melt water mw s 87,9 , and dry dense ice (without air inclusions) di 3,200,02 .
The results calculations the electromagnetic wave propagation velocity in dry snow Vds 278,1...212,7 m/µs, dry firn
Vdf 212,7...189,0 m/µs and dry ice Vdi 189,0...167,9 m/µs showed a very noticeable change depending on the density, the percentage water content, the preferred orientation and the form ice and air inclusions in the snow.
The estimates the complex relative permittivity the medium that determines the speed EW propagation show a noticeable influence the density, the percentage water content, and structure of the underlying surface (snow, firn, and ice), which makes it possible to identify the layers the underlying surface in order to remotely determine the possibility landing the HTA on an unprepared site with snow and ice cover.
When the percentage water content in the medium Pw 0 , which is typical for negative temperatures, the rate EW propagation in the medium will depend only on the density the medium and the structure this medium, for dry ice in the small range 1 m/µs from the temperature Tdi 1...40C . In dry snow, vertical and horizontal elongated or spherical inclusions make a significant contribution to changing the EW propagation rate. At zero temperature, in the frequency range f 2...8 GHz , will play a decisive role in the rate EW propagation in the medium Vr the percentage water content in the medium Pw , the density r and structure the medium.
The purpose this article is determine the change ranges speed electromagnetic waves in a snow-icy the underlying surface depending on the density, structure, percentage water content to restore the structure the snow and ice according to radar sensing, a more accurate determination the depth snow and thickness ice cover used in the assessment the ability to perform a safe landing HTA on an unprepared ground with snow-ice cover.
Thus, the knowledge EW propagation velocity intervals for dry snow, firn, and ice and the availability remote measurement propagation velocity EW propagation speed in the medium Vr , the average density the medium r а , as well as the average percentage water content in the medium Pw а can be estimated, which will allow remote identification the medium (underlying surface), more accurately determine the depth the snow and the thickness the ice cover, in order to perform a safe landing the HTA on an unprepared site with snow and ice cover.
When the percentage water content in the medium Pw 0 , for medium temperature Tr 0C , which is typical, for example, for
Arctic territories, the task identifying the medium (underlying surface) is simplified, since the speed EW propagation in the medium Vr will depend only on the density the r and the structure these mediums.
- Pat. RF № 2707275. Sposob vybora ploshchadki dlya posadki vozdushnogo sudna vertoletnogo tipa. Mashkov V.G., Malyshev V.A. MPK G01S 13/94. Zayavitel i patentoobladatel VUNTs VVS «VVA» (g. Voronezh). № 2019100117; zayavl. 09.01.2019; opubl. 26.11.2019. Byul. № 33. 10 s. (in Russian)
- Kotlyakov V.M., Macheret Yu.Ya., Sosnovskii A.V., Glazovskii A.F. Skorost rasprostraneniya radiovoln v sukhom i vlazhnom snezhnom pokrove. Led i sneg (nauchno-prakticheskii zhurnal Instituta geografii RAN). 2017. T. 57. № 1. S. 45−56. (in Russian)
- Dowdeswell J.A., Evans S. Investigations of the form and flow of ice sheets and glaciers using radio-echo sounding. Reports on Progress in Physics. V. 67. 2004. P. 1821−1861.
- Macheret Yu.Ya. Radiozondirovanie lednikov. M.: Nauchnyi mir. 2006. 392 s. (in Russian)
- Glazovskii A.F., Macheret Yu.Ya. Voda v lednikakh. Metody i rezultaty geofizicheskikh i distantsionnykh issledovanii. M.: GEOS. 2014. 528 s. (in Russian)
- Bekhovykh L.A., Makarychev S.V., Shorina I.V. Osnovy gidrofiziki: Ucheb. posobie. Barnaul: Izd-vo AGAU. 2008. 172 s.
- Osnovy izmereniya dielektricheskikh svoistv materialov. Zametki po primeneniyu. M.: Rossiiskoe predstavitelstvo Agilent Technologies. 2010. 32 s. (in Russian)
- Rekomendatsiya MSE-R P.527-4. Elektricheskie kharakteristiki zemnoi poverkhnosti. Seriya R. Rasprostranenie radiovoln. M.: Mezhdunarodnyi soyuz elektrosvyazi. 2017. 19 s. (in Russian)
- Mosin O.V. Dielektricheskie svoistva vody i lda. http://www.o8ode.ru/article/krie/Dielectric_properties_of_water_and_ice. Data obrashcheniya 13.06.2018. (in Russian)
- Plotnost vody, teploprovodnost i fizicheskie svoistva H2O. http://thermalinfo.ru/svojstva-zhidkostej/voda-i-rastvory/teploprovodnost-iplotnost-vody-teplofizicheskie-svojstva-vody-h2o. Data obrashcheniya 28.01.2020. (in Russian)
- Arabadzhi V.S. Elektrizatsiya snega v metelyakh. Zagadki prostoi vody. http://class-fizika.narod.ru/w23.htm. Data obrashcheniya 23.12.2019. (in Russian)
- Frolov A.D., Macheret Yu.Ya. Otsenka soderzhaniya vody v subpolyarnykh i teplykh lednikakh po dannym izmerenii skorosti rasprostraneniya radiovoln. MGI. 1998. № 84. S. 148−154. (in Russian)
- Frolov A.D., Macheret Yu.Ya. On dielectric properties of dry and wet snow. Hydrological processes. 1999. V. 13. P. 1755−1760.
- Denoth A. On the calculation of the dielectric constant of snow. Rencontre internationale sur la neige et les avalanches. Association nationale pour 1’etude de la neige et des avalanches. 1978. P. 61−70.
- Denoth A. Effect of grain geometry on electrical properties of snow at frequencies up to 100 MHz. Journ. of Applied Physics. 1982. V. 53. Part 1. № 11. P. 7496−7501.
- Denoth A. Snow dielectric measurements. Advance Space Research. 1989. V. 9. № 1. P. 233−243.
- Denoth A., Schittelkopf N. Mixing formulas for deter mining the free water content of wet snow from mea surements of the dielectric constant. Zeitschrift fur letscherkunde und Glazialgeologie. 1978. Bd. 14. Nt. 1. P. 73−80.
- Matzler C. Microwave permittivity of dry snow. IEEE Transactions on Geoscience and Remote Sensing. 1996. V. 34. № 2. P. 573−581.
- Stiles W.H., Ulaby F.T. Dielectric properties of snow. Proc. of the Workshop on the Properties of Snow. Snowbird (Utah). 8−10 April 1981. U.S. Army Cold Regions Research and Engineering Laboratory. Special report № 82−18. P. 91−103.
- Bogoroditskii V.V., Pasynkov V.P. Materialy v radioelektronike. M.-L.: Mosenergoizdat. 1961. 352 s. (in Russian)
- Looyenga H. Dielectric constants of heterogeneous mixture. Physica. 1965. V. 31. № 3. P. 401−406.
- Macheret Yu.Ya. Otsenka soderzhaniya vody v lednikakh po giperbolicheskim otrazheniyam. Materialy glyatsiologicheskikh issledovanii (Institut geografii RAN). 2000. № 89. S. 3−10. (in Russian)
- Robin G. de Q. Velocity of radio waves in ice by means of interferometric technique. Journ. of Glaciology. 1975. V. 15. № 73. P. 151−159.
- Tiuri M., Sihvola A., Nyfors E., Hillikainen M. The complex dielectric constant of snow using microwave techniques. IEEE Journ. of Oceanic Engineering. 1984. V. OE-9. № 5. P. 377−382.
- Kovacs A., Gow A., Morey R.M. A reassessment of the in-situ dielectric constant of polar firn. CREEL Report 93-26. 1993. P. 1−29.
- Macheret Yu.Ya. Estimation of absolute water content in Spitsbergen glaciers. Polar Research. 2000. V. 19. № 2. P. 205−216.
- Bradford J.H., Nichols J., Mikesell D., Harper J. Continuous profiles of electromagnetic velocity and water content in glaciers: an example from Bench glacier. Alaska. USA. Annals of Glaciology. 2009. V. 50 (51). P. 1−9.
- Giordano S. Order and disorder of heterogeneous material microstructure: electric and elastic characterization of dispersions of pseudo–oriented spheroids. Intern. Journ. of Engineering Science. 2005. V. 43. P. 1033−1058.
- Bradford J.H., Nichols J., Harper J.T., Meirbachtol T. Compressional and EM velocity anisotropy in a temperate glacier due to basal crevasses, and implications for water content estimation. Annals of Glaciology. 2013. V. 54 (64). P. 168−178.