Skip to main content
Log in

The scattering mechanism of squall lines with C-Band dual polarization radar. Part II: the mechanism of an abnormal ZDR echo in clear air based on the parameterization of turbulence deformation

  • Research Article
  • Published:
Frontiers of Earth Science Aims and scope Submit manuscript

Abstract

In part I, the clear air echo in front of the squall line is caused by turbulence diffraction, which makes the ZDR echo characteristics different from particle scattering. To study the turbulence deformation phenomenon that is affected by environmental wind, the turbulence-related method is used to analyze the characteristics of three-dimensional turbulence energy spectrum density, and the parametric model of turbulence integral length scale and environmental wind speed is established. The results show that the horizontal scale of turbulence is generally larger than the vertical scale. The turbulence is nearly isotropic in the horizontal direction, presenting a flat ellipsoid with the vertical orientation of the rotation axis when there is no horizontal wind or the horizontal velocity is small. When horizontal wind exists, the turbulence scale increases along the dominant wind direction. The turbulence scale is positively correlated with the wind speed. The power function is used to fit the relationships of turbulence integral length scale and horizontal wind speed, which obtains the best fitting effect, and the goodness of fit (GF) is above 0.99 in each direction. The deforming turbulence can cause 8–9 dB ZDR anomalies in the echo of dual polarization radar, which the ratio of scales in the dominant wind and the vertical direction of deforming turbulence (Lu/Lw) is around 4.3. The variation in ZDR depends on the turbulence shape, orientation and the relative position between turbulence and radar. The shape of turbulence derived from radar detection results is consistent with that of the parametric model, which can provide a parametric scheme for turbulence research. The results reveal the mechanism of abnormal ZDR echo caused by deforming turbulence.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • Bian J, Qiao J, Lv D (2002). Reanalysis of the turbulent spectra in the atmospheric surface layer. Chin J Atmos Sci, 26(4): 474–480

    Google Scholar 

  • Bragg W L (1913). The structure of some crystals as indicated by their diffraction of X-rays. Proc R Soc Lond, 89(610): 248–277

    Google Scholar 

  • Businger J A, Wyngaard J C, Izumi Y, Bradley E F (1971). Flux-profile relationships in the atmospheric surface layer. J Atmos Sci, 28(2): 181–189

    Article  Google Scholar 

  • Doviak R J, Zrnic D S, Schotland R M (1994). Doppler Radar and weather observations. Appl Opt, 33(21): 4531

    Google Scholar 

  • Du M, Liu L, Hu Z, Yu R (2012). Quality control of differential propagation phase shift for dual linear polarization radar. Journal of Applied Meteorological Science, 23(6): 710–720

    Google Scholar 

  • Frank J M, Massman W J, Ewers B E (2013). Underestimates of sensible heat flux due to vertical velocity measurement errors in nonorthogonal sonic anemometers. Agric Meteorol, 171–172: 72–81

    Article  Google Scholar 

  • Guo J, Bian L, Dai Y (2007). Measured CO2 concentration and flux at 16 m height during corn growing period on the North China Plain. Chin J Atmos Sci, 31(4): 695–707

    Google Scholar 

  • Hu Z, Liu L, Chu R, Jin R (2008). Comparison of different attenuation correction methods and their effects on estimated rainfall using X-band dual linear polarimetric radar. Acta Meteorol Sin, 66(2): 251–261

    Google Scholar 

  • Huang Q, Wei M, Hu H, Abro M I (2018). Analysis of atmospheric wind, temperature and humidity structure and dual-polarization radar parameters of clear air echo. Meteorological monthly, 44(4): 526–537

    Google Scholar 

  • Kaimal J C, Finnigan J J (1994). Atmospheric Boundary Layer Flows: Their Structure and Measurement. New York: Oxford University Press

    Book  Google Scholar 

  • Kanda M, Inagaki A, Letzel M O, Raasch S, Watanabe T (2004). LES study of the energy imbalance problem with eddy covariance fluxes. Boundary-Layer Meteorol, 110(3): 381–404

    Article  Google Scholar 

  • Knight C A, Miller L J (1993). First radar echoes from cumulus clouds. Bull Am Meteorol Soc, 74(2): 179–188

    Article  Google Scholar 

  • Kolmogorov A N (1962). A refinement of previous hypotheses concerning the local structure of turbulence in a viscous incompressible fluid at high reynolds number. J Fluid Mech, 13(1): 82–85

    Article  Google Scholar 

  • Kolmogorov A N (1941a). Energy dissipation in locally isotropic turbulence. Proceedings of the Royal Society a Mathematical Physical & Engineering Sciences, 434(1890): 16–18

    Google Scholar 

  • Kolmogorov A N (1941b). The local structure of turbulence in incompressible viscous fluid for very large reynolds numbers. Sov Phys Usp, 30(4): 301–305

    Google Scholar 

  • Liao S, Jiang D (2003). Method to extract turbulent characteristic parameters based on wavelet analysis. Journal of Combustion Science and Technology, 9(1): 21–28

    Google Scholar 

  • Ma Z (1986). Information and Principle of Weather Radar Echo. Beijing: Science Press (in Chinese)

    Google Scholar 

  • Melnikov V M, Doviak R J, Zrnic D S, Stensrud D J (2013). Structures of bragg scatter observed with the polarimetric WSR-88D. J Atmos Ocean Technol, 30(7): 1253–1258

    Article  Google Scholar 

  • Monin A S, Obukhov A M (1954). Basic laws of turbulent mixing in the surface layer of the atmosphere. Trudy Geofizicheskogo Instituta. Akademiya Nauk SSSR, 24(151): 163–187

    Google Scholar 

  • Richardson L M, Cunningham J G, Zittel W D, Lee R R, Ice R L, Melnikov V M, Hoban N P, Gebauer J (2017). Bragg scatter detection by the WSR-88D. Part I: algorithm development. J Atmos Ocean Technol, 34(3): 465–478

    Article  Google Scholar 

  • Sheng P, Mao J, Li J, Zhang A, Sang J, Pan N (2003). Atmospheric Physics. Beijing: Peking University Press (in Chinese)

    Google Scholar 

  • Tang Y (2014). The scattering mechanism and analysis of clear-air echo. Dissertation for Master’s Degree. Nanjing: Nanjing University of Information Science & Technology (in Chinese)

    Google Scholar 

  • Tatarski V I (1971). The effects of the turbulent atmosphere on wave propagation. National Technical Information, TT-68-50464

  • Tatarski V I, Silverman R A, Chako N (1961). Wave propagation in a turbulent medium. Phys Today, 14(12): 46–51

    Article  Google Scholar 

  • Taylor G I (1938). The Spectrum of turbulence. Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences, 919: 476–490

    Google Scholar 

  • Vickers D, Mahrt L (1997). Quality control and flux sampling problems for tower and aircraft data. J Atmos Ocean Technol, 14(3): 512–526

    Article  Google Scholar 

  • Wang J, Wang W, Ao Y, Sun F, Shu G (2007). Turbulence flux measurements under complicated conditions. Advances in Earth Science, 22(8): 791–797 (in Chinese)

    Google Scholar 

  • Wang J, Wang W, Liu S, Ma M, Li X (2009). The problems of surface energy balance closure—an overview and case study. Advances in Earth Science, 24(7): 705–713 (in Chinese)

    Google Scholar 

  • Wang Y, Chandrasekar V (2009). Algorithm for estimation of the specific differential phase. J Atmos Ocean Technol, 26(12): 2565–2578

    Article  Google Scholar 

  • Wilczak J M, Oncley S P, Stage S A (2001). Sonic anemometer tilt correction algorithms. Boundary-Layer Meteorol, 99(1): 127–150

    Article  Google Scholar 

  • Wilson J W, Weckwerth T M, Vivekanandan J, Wakimoto R M, Russell R W (1994). Boundary layer clear-air radar echoes: origin of echoes and accuracy of derived winds. J Atmos Ocean Technol, 11(5): 1184–1206

    Article  Google Scholar 

  • Wu B, Zhang H, Wang Z, Zhu H, Xie Y (2011). Study on turbulent structures and energy transfer during an advective fog period. Acta Scientiarum Naturalium Universitatis Pekinensis, 47(2): 295–301

    Google Scholar 

  • Wyngaard J C (1990). Scalar fluxes in the planetary boundary layer—theory, modeling and measurement. Boundary-Layer Meteorol, 50(1–4): 49–75

    Article  Google Scholar 

  • Xu Z, Liu S, Gong L, Wang J, Li X (2008). A study on the data processing and quality assessment of the eddy covariance system. Advances in Earth Science, 23(4): 357–370

    Google Scholar 

  • Yao X (2016). Data quality control and echo characteristics analysis of NUIST-C Band dual linear polarimetric doppler radar. Dissertation for Master’s Degree. Nanjing: Nanjing University of Information Science & Technology (in Chinese)

    Google Scholar 

Download references

Acknowledgements

Prof. Lv Jingjing, in School of Atmospheric Physics, Nanjing University of Information Science & Technology, assisted in field observation and data acquisition. This work was supported by the National Natural Science Foundation of China (Grant No. 41675029), the Natural Science Foundation of Shandong Province (Nos. ZR2020MD052 and ZR2020MD053), and the Shanghai Aerospace Science and Technology Innovation Fund Project (No. SAST2019-097).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Ming Wei.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Zhu, J., Wei, M., Gao, S. et al. The scattering mechanism of squall lines with C-Band dual polarization radar. Part II: the mechanism of an abnormal ZDR echo in clear air based on the parameterization of turbulence deformation. Front. Earth Sci. 16, 236–247 (2022). https://doi.org/10.1007/s11707-021-0870-4

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11707-021-0870-4

Keywords

Navigation