下行漫衰减系数K_d(z)分析求解

Analysis Solving of Downwelling Diffuse Attenuation Coefficient K(z)

漫衰减系数K(z)是湖泊光学研究中的重要光学参数,而其中下行漫衰减系数Kd(z)目前的计算方法主要是经验算法,而这些方法对于理解Kd(z)以及影响Kd(z)计算不确定性的分析是远远不够的,本文通过求解辐射传输方程得到K(z)的解析模型,分析固有光学属性bab((zz))以及表观光学属性ud(1z)和uu(1z)对计算K(z)时误差引入的敏感度,根据其敏感度为0的分界点,推演出Kd(z)在bab((zz))1和bab((zz))1条件下的综合分段模型,预测值与Hydrolight模拟值方差为1.002 3,标准差为1.001 1.

Diffuse attenuation coefficient K（z） is an important optical parameter in the research of lake optical property, the current calculation methods of downwelling diffuse attenuation coefficient Kd （z） is mainly experience algorithm, and all of these methods for understanding Kd （z） and the uncertainty effects of the Kd （z） analysis are far from enough. By resolving the radiation transfer equation, we got the analytical model of Kd （z）, by analysing of the sensitivity degree of bb（z）/a（z） the inherent optical properties and the apparent optical properties 1/ud（z）·1/uu（z） to the introducing error when cal- culate Kd （z）, we deduced the Ka （z）＇s Sub-integrated model under the condition of bb（z）/a（z）≤1 and bb（z）/a（z）≥1 according to the zero sensitivity boundaries points, the variance and standard deviation between the Hydrolight simulation and predictive value of model is 1. 002 3 and 1. 001 1 respectively.