Monte Carlo simulation and analysis of diffuse attenuation of downwelling irradiance in Meiliang Bay of Taihu Lake

  • role: First author第一作者
  • Affiliation:

    Acadamy of Geography and Remote Sensing, Nanjing University of Information Science and Technology, Nanjing 210044, China

  • Email:nuist309@163.com
  • Introduction:姜勃(1990— ),男,硕士研究生,研究方向为水体辐射传输及遥感应用。E-mail:nuist309@163.com
JIANG Bo1,  
  • role: Corresponding author通信作者
  • Affiliation:

    Acadamy of Hydrometeorology, Nanjing University of Information Science and Technology, Nanjing 210044, China

  • Email:qhzhao@nuist.edu.cn
  • Introduction:赵巧华(1972— ),男,教授,研究方向为水光学、大气光学及环境遥感。E-mail:qhzhao@nuist.edu.cn
ZHAO Qiaohua2*

реферат

The diffuse attenuation coefficient (Kd) is an important property related to the penetration and availability of light underwater, which is of fundamental interest in studies of primary production, physical and biological process. The remote sensing estimation of diffuse attenuation coefficient can reveal the change of underwater light field, which is one of the main ways to obtain the diffuse attenuation coefficient. Models developed in the recent decades were mainly based on theoretical and numerical(radiative transfer)simulations. In this paper, a Monte Carlo calculation procedure has been developed for modeling of the penetration of light into turbid inland waters found at Meiliang Bay of Taihu Lake. We assume the water optical homogeneously, inherent optical properties (IOPs) do not change with depth, the water surface as a mirror, We can use the Monte Carlo method to simulate the movement process of photons in the water, energy distribution statistics of a large number of photons at different depths, calculate the downward diffuse attenuation coefficient value. We use several phase function with different backscatter fraction and overall shape as comparison. The results indicate that in the same condition of sun zenith angle and absorb coefficient (a)、scatter coefficient (b), simulated Kd values appear quite different when choose different scattering phase function. Simulated Kd values based on phase function applied to ocean or slightly turbid waters are less than the measured values. Within 450 nm, 550 nm, 650 nm band, the relative error between simulated Kd value with phase function that have a backscatter fraction of 0.03 and measured Kd value is the minimum. The phase function that have a backscatter fraction of 0.03 is more appropriate to develop a semi-analytical model based on inland turbid lake water than particular normalized phase function used in ocean water. We use the MC model to discuss the relationship between variation of sun zenith angle and phase function and Kd value. It turns out under the condition of high values of b/a, phase function become the main factor to effect the change of Kd value. When b/a values are greater than 9, the incident zenith angle changes from 10° to 80°, the rate of change in Kd values is less than 10%, so the impact of the variation of the sun zenith angle on the change of Kd value is negligible. Using a single wavelength scattering phase function to simulate Kd values at different wavelength. It’s found that in more turbid water, when the wavelength are less than 550 nm, simulated values are greater than measured values, in contrast, when the wavelength are greater than 550 nm, simulated values are less than measured values, which indicate that with the increase of wavelength, the scattering properties of particulate matter in water appear a variation trend that it’s weaken in the forward scattering and heighten in the backward scattering. When we develop the remote sensing model of Kd value for inland lake water type. We should consider the difference of scattering properties of water. Under different concentration of suspended matter and different wavelength, we should consider the spectral variation of the phase functions and use the phase function with the correct backscatter fraction.

ключеви́че слова́

Monte Carlo;numerical simulation;diffuse attenuation coefficient;zenith angle;scattering phase function

References

  1. 1.
    Aas E, Høkedal J and Sørensen K. 2005. Spectral backscattering coefficient in coastal waters. International Journal of Remote Sensing, 26(2): 331–343
  2. 2.
    Bricaud A, Morel A and Prieur L. 1981. Absorption by dissolved organic matter of the sea (yellow substance) in the UV and visible domains. Limnology and Oceanography, 26(1): 43–53
  3. 3.
    Clevel J S and Weidemann A D. 1993. Quantifying absorption by aquatic particles: a multiple scattering correction for glass-fiber filters. Limnology and Oceanography, 38(6): 1321–1327
  4. 4.
    Darecki M and Stramski D. 2004. An evaluation of MODIS and SeaWiFS bio-optical algorithms in the Baltic Sea. Remote Sensing of Environment, 89(3): 326–350
  5. 5.
    Fournier G R and Forand J L. 1994. Analytic phase function for ocean water//Proceedings of SPIE 2258, Ocean Optics XII. Bergen, Norway: SPIE: 194–201 [DOI: 10.1117/12.190063]
  6. 6.
    Gordon H R and McCluney W R. 1975. Estimation of the depth of sunlight penetration in the sea for remote sensing. Applied Optics, 14(2): 413–416
  7. 7.
    Gordon H R. 1989. Can the Lambert-Beer law be applied to the diffuse attenuation coefficient of ocean water?. Limnology and Oceanography, 34(8): 1389–1409
  8. 8.
    Gordon H R. 1992. Monte Carlo simulations for interpretation of irradiance measurements from moored instruments: preliminary results//Proceedings of SPIE 1750, Ocean Optics XI. San Diego, CA: SPIE: 366–370 [DOI: 10.1117/12.140663]
  9. 9.
    Green S A and Blough N V. 1994. Optical absorption and fluorescence properties of chromophoric dissolved organic matter in natural waters. Limnology and Oceanography, 39(8): 1903–1916
  10. 10.
    Haltrin V I. 1999a. Two-term Henyey-Greenstein light scattering phase function for seawater//Proceedings of IEEE 1999 International Geoscience and Remote Sensing Symposium. Hamburg: IEEE, 2: 1423–1425
  11. 11.
    Haltrin V I. 1999b. Light scattering coefficient of seawater for arbitrary concentrations of hydrosols//Proceedings of 1997 IEEE International Geoscience and Remote Sensing. Singapore: IEEE, 1: 299–301 [DOI: 10.1109/IGARSS.1999.774652]
  12. 12.
    Haltrin V I. 1997. Light scattering coefficient of seawater for arbitrary concentrations of hydrosols// Geoscience and Remote Sensing, IGARSS’97. Remote Sensing-A Scientific Vision for Sustainable Development. IEEE International. IEEE, 1999:299–301
  13. 13.
    Huang C C, Li Y M, Le C F, Sun D Y, Wu L, Wang L Z and Wang X. 2009. Seasonal characteristics of the diffuse attenuation coefficient of Meiliang Bay waters and its primary contributors. Acta Ecologica Sinica, 29(6): 3295–3306
  14. 14.
    Jerlov N G. 1976.Marine Optics.New York:Elsevier Scientific Publishing Company
  15. 15.
    Kirk J T O. 1981. Monte Carlo study of the nature of the underwater light field in, and the relationships between optical properties of, turbid yellow waters. Marine and Freshwater Research, 32(4): 517–532
  16. 16.
    Kirk J T O. 1984. Dependence of relationship between inherent and apparent optical properties of water on solar altitude. Limnology and Oceanography, 29(2): 350–356
  17. 17.
    Kirk J T O. 1991. Volume scattering function, average cosines, and the underwater light field. Limnology and Oceanography, 36(3): 455–467
  18. 18.
    Kirk J T O. 1994. Light and Photosynthesis in Aquatic Ecosystems. Cambridge: Cambridge University Press
  19. 19.
    Le C F, Li Y M, Zha Y, Sun D Y and Lv H. 2009. Simulation of backscattering properties of Taihu Lake. Advances in Water Science, 20(5): 707–713
  20. 20.
    Leathers R A and Mobley C D. 2004. Monte Carlo Radiative Transfer Simulations for Ocean Optics: A Practical Guide. NRL/MR/5660-04-8819. Washington, DC: Naval Research Laboratory
  21. 21.
    Lee M E, Haltrin V I, Shybanov E B, Weidemann A D. 2003. Light scattering phase functions of turbid coastal waters measured in LEO-15 experiment in 2000// Oceans. IEEE, 2003:P2835-P2841 Vol.5.[DOI: 10.1109/OCEANS.2003.178358]
  22. 22.
    Lee Z P, Du K P and Arnone R. 2005. A model for the diffuse attenuation coefficient of downwelling irradiance. Journal of Geophysical Research: Oceans, 110(C2): C02016
  23. 23.
    Liu C C, Carder K L, Miller R L and Ivey J E. 2002. Fast and accurate model of underwater scalar irradiance. Applied Optics, 41(24): 4962–4974
  24. 24.
    Ma R H, Song Q J, Li G Y and Pan D L. 2008. Estimation of backscattering probability of Lake Taihu waters. Journal of Lake Sciences, 20(3): 375–379
  25. 25.
    Marra J, Langdon C and Knudson C A. 1995. Primary production, water column changes, and the demise of a Phaeocystis bloom at the Marine Light-Mixed Layers site (59°N, 21°W) in the northeast Atlantic Ocean. Journal of Geophysical Research: Oceans, 100(C4): 6633–6643
  26. 26.
    Morel A and Ahn Y H. 1990.Optical efficiency factors of free-living marine bacteria: Influence of bacterioplankton upon the optical properties and particulate organic carbon in oceanic waters. Journal of Marine Research 1990. Optical efficiency factors of free-living marine bacteria: Influence of bacterioplankton upon the optical properties and particulate organic carbon in oceanic waters. Journal of Marine Research, 48(1): 145–175
  27. 27.
    Mitchell B G. 1990. Algorithms for determining the absorption coefficient for aquatic particulates using the Quantitative Filter Technique//Proceedings of SPIE 1302, Ocean Optics X. Orlando, FL: SPIE: 137 [DOI: 10.1117/12.21440]
  28. 28.
    Mobley C D, Gentili B, Gordon H R, Jin Z H, Kattawar G W, Morel A, Reinersman P, Stamnes K, Stavn R H. 1993. Comparison of numerical models for computing underwater light fields. Applied Optics, 32(36): 7484–7504
  29. 29.
    Mobley C D. 1994. Light and Water: Radiative Transfer in Natural Waters. New York: Academic Press
  30. 30.
    Mobley C D, Sundman L K and Boss E. 2002. Phase function effects on oceanic light fields. Applied Optics, 41(6): 1035–1050
  31. 31.
    Pan X J and Zimmerman R C. 2010. Modeling the vertical distributions of downwelling plane irradiance and diffuse attenuation coefficient in optically deep waters. Journal of Geophysical Research: Oceans, 115(C8): C08016
  32. 32.
    Petzold T J. 1972. Volume Scattering Functions for Selected Ocean Waters. Scripps Institution of ceanography.San Diego, CA, Tech. Rep.
  33. 33.
    Platt T, Sathyendranath S, Caverhill C M and Lewis M R. 1988. Ocean primary production and available light: further algorithms for remote sensing. Deep Sea Research Part A. Oceanographic Research Papers, 35(6): 855–879
  34. 34.
    Pope R M and Fry E S. 1997. Absorption spectrum (380-700 nm) of pure water. II. Integrating cavity measurements. Applied Optics, 36(33): 8710–8723
  35. 35.
    Sathyendranath S, Prieur L and Morel A. 1989. A three-component model of ocean colour and its application to remote sensing of phytoplankton pigments in coastal waters. International Journal of Remote Sensing, 10(8): 1373–1394
  36. 36.
    Smith R C and Baker K S. 1981. Optical properties of the clearest natural waters (200-800 nm). Applied Optics, 20(2): 177
  37. 37.
    Snyder W A, Arnone R A, Davis C O, Goode W, Gould R W, Ladner S, Lamela G, Rhea W J, Stavn R, Sydor M and Weidemann A. 2008. Optical scattering and backscattering by organic and inorganic particulates in U. S. coastal waters. Applied Optics, 47(5): 666–677
  38. 38.
    Sokolov A, Chami M, Dmitriev E and Khomenko G. 2010. Parameterization of volume scattering function of coastal waters based on the statistical approach. Optics Express, 18(5): 4615–4636
  39. 39.
    Stramska M and Frye D. 1997. Dependence of apparent optical properties on solar altitude: experimental results based on mooring data collected in the Sargasso Sea. Journal of Geophysical Research: Oceans, 102(C7): 15679–15691
  40. 40.
    Sun D Y, Li Y M, Wang Q, Le C F, Huang C C and Wu L. 2008. The scattering characteristics of Lake Taihu waters. Journal of Lake Sciences, 20(3): 389–395
  41. 41.
    Wang M H, Son S and Harding Jr L W. 2009. Retrieval of diffuse attenuation coefficient in the Chesapeake Bay and turbid ocean regions for satellite ocean color applications. Journal of Geophysical Research: Oceans, 114(C10): C10011
  42. 42.
    Zhang Y L, Qin B Q, Chen W M, Yang D T and Ji J. 2003. Analysis on distribution and variation of beam attenuation coefficient of Taihu Lake’s water. Advances in Water Science, 14(4): 447–453

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