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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*

Resümee

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.

Schlüsselwort

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

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