Relationship between the Scavenging Coefficient for Pollutants in Precipitation and the Radar Reflectivity Factor. Part I: Derivation

Kirsti Jylhä Department of Meteorology, University of Helsinki, Helsinki, Finland

Search for other papers by Kirsti Jylhä in
Current site
Google Scholar
PubMed
Close
Restricted access

Abstract

The relation between the scavenging coefficient Λ (s−1) for air pollutants in precipitation and the radar reflectivity factor Z (mm6 m−3) is based on the fact that they are both functions of the hydrometeor size distribution. In this paper, which combines the fields of air pollution physics, cloud physics, and radar meteorology, Λ–Z relationships are derived analytically for below-cloud gaseous and particulate pollutants and, with certain restrictions, for pollutants incorporated into cloud droplets. For the types of precipitation and pollutant considered, it can be shown that Λ ≈ aZb, where the coefficient a has an order of magnitude of 10−7–10−6 for submicron aerosol particles, 10−6–10−5 for highly soluble gases, and 10−5 for pollutants in cloud droplets. In stratiform rain the exponent b ranges between about 0.4 and 0.6, so that an increase of Z by a factor of 10 approximately corresponds to a twofold to fourfold increase in Λ. In snowfall, mainly due to the diversity of solid hydrometeors, the value of b may vary more considerably but probably is somewhat smaller than in rain. Because weather radar estimates the spatial distribution of Z essentially in real time, Λ–Z relationships can be used to monitor and nowcast those areas most significantly exposed to wet deposition.

Current affiliation: Finnish Meteorological Institute, Helsinki, Finland.

Corresponding author address: Dr. Kirsti Jylhä, Finnish Meteorological Institute, P.O. Box 503 (Vuorikatu 19), Helsinki FIN-00101, Finland.

Abstract

The relation between the scavenging coefficient Λ (s−1) for air pollutants in precipitation and the radar reflectivity factor Z (mm6 m−3) is based on the fact that they are both functions of the hydrometeor size distribution. In this paper, which combines the fields of air pollution physics, cloud physics, and radar meteorology, Λ–Z relationships are derived analytically for below-cloud gaseous and particulate pollutants and, with certain restrictions, for pollutants incorporated into cloud droplets. For the types of precipitation and pollutant considered, it can be shown that Λ ≈ aZb, where the coefficient a has an order of magnitude of 10−7–10−6 for submicron aerosol particles, 10−6–10−5 for highly soluble gases, and 10−5 for pollutants in cloud droplets. In stratiform rain the exponent b ranges between about 0.4 and 0.6, so that an increase of Z by a factor of 10 approximately corresponds to a twofold to fourfold increase in Λ. In snowfall, mainly due to the diversity of solid hydrometeors, the value of b may vary more considerably but probably is somewhat smaller than in rain. Because weather radar estimates the spatial distribution of Z essentially in real time, Λ–Z relationships can be used to monitor and nowcast those areas most significantly exposed to wet deposition.

Current affiliation: Finnish Meteorological Institute, Helsinki, Finland.

Corresponding author address: Dr. Kirsti Jylhä, Finnish Meteorological Institute, P.O. Box 503 (Vuorikatu 19), Helsinki FIN-00101, Finland.

Save
  • Alheit, R. R., A. I. Flossmann, and H. R. Pruppacher, 1990: A theoretical study of the wet removal of atmospheric pollutants. Part IV: The uptake and redistribution of aerosol particles through nucleation and impaction scavenging by growing cloud drops and ice particles. J. Atmos. Sci.,47, 870–878.

  • Asman, W. A. H., 1995: Parameterization of below-cloud scavenging of highly soluble gases under convective conditions. Atmos. Environ.,29, 1359–1368.

  • Atlas, D., and C. W. Ulbrich, 1977: Path- and area-integrated rainfall measurement by microwave attenuation in the 1–3 cm band. J. Appl. Meteor.,16, 1322–1331.

  • Baltensperger, U., H. W. Gäggeler, D. T. Jost, B. Zinder, and P. Haller, 1987: Chernobyl radioactivity in size-fractionated aerosols. J. Aerosol Sci.,6, 685–688.

  • Barlow, A. K., and J. Latham, 1983: A laboratory study of the scavenging of submicron aerosol by charged raindrops. Quart. J. Roy. Meteor. Soc.,109, 763–770.

  • Beard, K. V., 1974: Rain scavenging of particles by electrostatic-inertial impaction and Brownian diffusion. Precip. Scavenging Proc. Symp. 1974,41, 183–194.

  • ——, and H. T. Ochs, 1984: Collection and coalescence efficiencies for accretion. J. Geophys. Res.,89, 7165–7169.

  • ——, and ——, 1995: Collision between small precipitation drops. Part II: Formulas for coalescence, temporary coalescence, and satellites. J. Atmos. Sci.,52, 3977–3996.

  • Bell, D. A., and C. P. R. Saunders, 1991: The scavenging of high altitude aerosol by small ice crystals. Atmos. Environ.,25A, 801–808.

  • Berge, E., 1993: Coupling of wet scavenging of sulphur to clouds in a numerical weather prediction model. Tellus,45B, 1–22.

  • Böhm, J. P., 1994: Theoretical collision efficiencies for timing and aerosol impaction. Atmos. Res.,32, 171–187.

  • Byrne, M. A., and S. G. Jennings, 1993: Scavenging of sub-micrometre aerosol particles by water drops. Atmos. Environ.,27A, 2099–2105.

  • Chang, T. Y., 1984: Rain and snow scavenging of HNO3 vapor in the atmosphere. Atmos. Environ.,18, 191–197.

  • ——, 1986: Estimates of nitrate formation in rain and snow systems. J. Geophys. Res.,91, 2805–2818.

  • Collett, J. L., Jr., A. S. H. Prevot, J. Staehelin, and A. Waldvogel, 1991: Physical factors influencing winter precipitation chemistry. Environ. Sci. Technol.,25, 782–788.

  • Devulapalli, S. S. N., and J. L. Collett Jr., 1994: The influence of riming and frontal dynamics on winter precipitation chemistry in level terrain. Atmos. Res.,32, 203–213.

  • Diehl, K., S. K. Mitra, and H. R. Pruppacher, 1995: A laboratory study of the uptake of HNO3 and HCl vapor by snow crystals and ice spheres at temperatures between 0 and −40°C. Atmos. Environ.,29, 975–981.

  • Engelmann, R. J., 1968: The calculation of precipitation scavenging. Meteorology and Atomic Energy 1968, D. H. Slade, Ed., U.S. Atomic Energy Commission, 208–221.

  • Feingold, G., and Z. Levin, 1986: Lognormal fit to raindrop spectra from frontal convective clouds in Israel. J. Climate Appl. Meteor.,25, 1346–1363.

  • Foote, G. B., and P. S. du Toit, 1969: Terminal velocity of raindrops aloft. J. Appl. Meteor.,8, 249–253.

  • Grover, S. N., H. R. Pruppacher, and A. E. Hamielec, 1977: A numerical determination of the efficiency with which spherical aerosol particles collide with spherical water drops due to inertial impaction and phoretic and electrical forces. J. Atmos. Sci.,34, 1655–1663.

  • Gunn, K. L. S., and J. S. Marshall, 1958: The distribution with size of aggregate snowflakes. J. Meteor.,15, 452–461.

  • Gunn, R., and G. D. Kinzer, 1949: The terminal velocity of fall for water droplets in stagnant air. J. Meteor.,6, 243–248.

  • Hegg, D. A., S. A. Rutledge, and P. V. Hobbs, 1984: A numerical model for sulfur chemistry in warm-frontal rainbands. J. Geophys. Res.,89, 7133–7147.

  • Houghton, H. G., 1985: Physical Meteorology. The MIT Press, 442 pp.

  • Huggel, A., W. Schmid, and A. Waldvogel, 1996: Raindrop size distributions and the radar bright band. J. Appl. Meteor.,35, 1688–1701.

  • Iribarne, J. V., and H. R. Cho, 1989: Models of cloud chemistry. Tellus,41B, 2–23.

  • Jylhä, K., 1991: Empirical scavenging coefficients of radioactive substances released from Chernobyl. Atmos. Environ.,25A, 263–270.

  • ——, 1999: Relationship between the scavenging coefficient for pollutants in precipitation and the radar reflectivity factor. Part II: Applications. J. Appl. Meteor.,38, 1435–1447.

  • Kalina, M. F., and H. Puxbaum, 1994: A study of the influence of riming of ice crystals on snow chemistry during different seasons in precipitating continental clouds. Atmos. Environ.,28, 3311–3328.

  • Kauppinen, E. I., R. E. Hillamo, S. H. Aaltonen, and K. T. S. Sinkko, 1986: Radioactivity size distributions of ambient aerosols in Helsinki, Finland, during May 1986 after the Chernobyl accident: Preliminary report. Environ. Sci. Technol.,20, 1257–1259.

  • Lai, K., N. Dayan, and M. Kerker, 1978: Scavenging of aerosol particles by a falling water drop. J. Atmos. Sci.,35, 674–682.

  • Locatelli, J. D., and P. V. Hobbs, 1974: Fall speeds and masses of solid precipitation particles. J. Geophys. Res.,79, 2185–2197.

  • Marshall, J. S., and W. McK. Palmer, 1948: The distribution of raindrops with size. J. Meteor.,5, 165–166.

  • Martin, J. J., P. K. Wang, and H. R. Pruppacher, 1980: A theoretical determination of the efficiency with which aerosol particles are collected by simple ice crystal plates. J. Atmos. Sci.,37, 1628–1663.

  • McGann, B. T., and S. G. Jennings, 1991: The efficiency with which drizzle and precipitation sized drops collide with aerosol particles. Atmos. Environ.,25A, 791–799.

  • McMahon, T. A., and P. J. Denison, 1979: Empirical atmospheric deposition parameters.—A survey. Atmos. Environ.,13, 571–585.

  • Miller, N. L., 1990: A model for the determination of the scavenging rates of submicron aerosols by snow crystals. Atmos. Res.,25, 317–330.

  • ——, and P. K. Wang, 1989: Theoretical determination of the efficiency of aerosol particle collection by falling columnar ice crystals. J. Atmos. Sci.,46, 1656–1663.

  • Mitchell, D. L., 1988: Evolution of snow-size spectra in cyclonic storms. Part I: Snow growth by vapor deposition and aggregation. J. Atmos. Sci.,45, 3431–3451.

  • ——, 1996: Use of mass- and area-dimensional power laws for determining precipitation particle terminal velocities. J. Atmos. Sci.,53, 1710–1723.

  • Mitra, S. K., U. Barth, and H. R. Pruppacher, 1990a: A laboratory study of the efficiency with which aerosol particles are scavenged by snow flakes. Atmos. Environ.,24A, 1247–1254.

  • ——, ——, and ——, 1990b: A laboratory study on the scavenging of SO2 by snow crystals. Atmos. Environ.,24A, 2307–2312.

  • Mosimann, L., 1995: An improved method for determining the degree of snow crystal riming by vertical Doppler radar. Atmos. Res.,37, 305–323.

  • ——, M. Steiner, J. L. Collett, W. Henrich, W. Schmid, and A. Waldvogel, 1993: Ice crystal observations and the degree of riming in winter precipitation. Water, Air, Soil Pollut.,68, 29–42.

  • Murakami, M., T. Kimura, C. Magono, and K. Kikuchi, 1983: Observations of precipitation scavenging for water-soluble particles. J. Meteor. Soc. Japan,61, 346–358.

  • ——, K. Kikuchi, and C. Magono, 1985a: Experiments on aerosol scavenging by natural snow crystals. Part I: Collection efficiency of uncharged snow crystals for micron and submicron particles. J. Meteor. Soc. Japan,63, 119–129.

  • ——, C. Magono, and K. Kikuchi, 1985b: Experiments on aerosol scavenging by natural snow crystals. Part III: The effect of snow crystal charge on collection efficiency. J. Meteor. Soc. Japan,63, 1127–1137.

  • Okita, T., H. Hara, and N. Fukuzaki, 1996: Measurements of atmospheric SO2 and SO2− 4, and determination of the wet scavenging coefficient of sulfate aerosols for the winter monsoon season over the Sea of Japan. Atmos. Environ.,30, 3733–3739.

  • Pruppacher, H. R., and J. D. Klett, 1978: Microphysics of Clouds and Precipitation. D. Reidel, 714 pp.

  • Radke, L. F., P. V. Hobbs, and M. W. Eltgroth, 1980: Scavenging of aerosol particles by precipitation. J. Appl. Meteor.,19, 715–722.

  • Rogers, R. R., and M. K. Yau, 1989: A Short Course in Cloud Physics. 3d ed. Pergamon, 293 pp.

  • Sauter, D. P., and P. K. Wang, 1989: An experimental study of the scavenging of aerosol particles by natural snow crystals. J. Atmos. Sci.,46, 1650–1655.

  • Sauvageot, H., 1992: Radar Meteorology. Artech House, 366 pp.

  • ——, 1994: Rainfall measurement by radar: A review. Atmos. Res.,35, 27–54.

  • Schumann, T., 1989: Large discrepancies between theoretical and field determined scavenging coefficients. J. Aerosol Sci.,20, 1159–1162.

  • ——, 1991: Aerosol and hydrometeor concentrations and their chemical composition during winter precipitation along a mountain slope—III. Size-differentiated in-cloud scavenging efficiencies. Atmos. Environ.,25A, 809–824.

  • Scott, B. C., 1982: Theoretical estimates of the scavenging coefficient for soluble aerosol particles as a function of precipitation type, rate and altitude. Atmos. Environ.,16, 1753–1762.

  • Seinfeld, J. H., 1986: Atmospheric Chemistry and Physics of Air Pollution. John Wiley and Sons, 738 pp.

  • Sekhon, R. S., and R. C. Srivastava, 1970: Snow size spectra and radar reflectivity. J. Atmos. Sci.,27, 299–307.

  • ——, and ——, 1971: Doppler radar observations of drop-size distributions in a thunderstorm. J. Atmos. Sci.,28, 983–994.

  • Seliga, T. A., H. Direskeneli, and K. Aydin, 1989: Potential role of differential reflectivity to estimate scavenging of aerosols. Preprints, 24th Conf. on Radar Meteorology, Tallahassee, FL, Amer. Meteor. Soc., 363–366.

  • Sheppard, B. E., and P. I. Joe, 1994: Comparison of raindrop size distribution measurements by a Joss–Waldvogel disdrometer, a PMS 2DG spectrometer, and a POSS Doppler radar. J. Atmos. Oceanic Technol.,11, 874–887.

  • Smith, P. L., 1984: Equivalent radar reflectivity factors for snow and ice particles. J. Climate Appl. Meteor.,23, 1258–1260.

  • Sparmacher, H., K. Fulber, and H. Bonka, 1993: Below-cloud scavenging of aerosol particles: Particle-bound radionuclides—Experimental. Atmos. Environ.,27A, 605–618.

  • Tremblay, A., and H. Leighton, 1986: A three-dimensional cloud chemistry model. J. Climate Appl. Meteor.,25, 652–671.

  • Tzivion, S., G. Feingold, and Z. Levin, 1989: The evolution of raindrop spectra. Part II: Collisional collection/breakup and evaporation in a rainshaft. J. Atmos. Sci.,46, 3312–3327.

  • Ulbrich, C. W., 1983: Natural variations in the analytical form of the raindrop size distribution. J. Climate Appl. Meteor.,22, 1764–1775.

  • Valdez, M. P., G. A. Dawson, and R. C. Bales, 1989: Sulfur dioxide incorporation into ice depositing from the vapor. J. Geophys. Res.,94, 1095–1103.

  • Volken, M., and T. Schumann, 1993: A critical review of below-cloud aerosol scavenging results on Mt. Rigi. Water, Air, Soil Pollut.,68, 15–28.

  • Wang, P. K., and H. R. Pruppacher, 1977: An experimental determination of the efficiency with which aerosol particles are collected by water drops in subsaturated air. J. Atmos. Sci.,34, 1664–1669.

  • ——, and H. Lin, 1995: Comparison of model results of collection efficiency of aerosol particles by individual water droplets and ice crystals in a subsaturated atmosphere. Atmos. Res.,38, 381–390.

  • ——, S. N. Grover, and H. R. Pruppacher, 1978: On the effect of electric charges on the scavenging of aerosol particles by clouds and small raindrops. J. Atmos. Sci.,35, 1664–1669.

All Time Past Year Past 30 Days
Abstract Views 0 0 0
Full Text Views 960 448 56
PDF Downloads 458 113 5