变分伴随方法应用于大气化学初值和参数反演研究Retrievalofthe.PDF

30 2 Vo.l 30 N o. 2 2007 4 Journal ofN anjing Institute ofM eteorology A pr. 2007 , 2 3 2 2 方涵先 ,王廷芳,黄思训 ,杜华栋 ( ., 2 0044; 2. , 2 0 ; 3. , 6 004 ) : 将结合正则化思想的变分伴随方法应用于大气平流层中臭氧破坏催化反应过 的浓度初始 值和反应速率参数的反演问题, 推导了在整体资料和末端时刻局部资料反演的伴随模式和泛函梯 度, 并进行了一组理想数值试验试验结果表明了变分伴随方法运用于大气化学过 的反演研究 的有效性, 特别是局部资料联合反演中可以运用正则化思想克服反演的不适定性 : 大气化学参数反演; 变分伴随方法; 正则化思想 : P42 : A : 000-2022( 2007) 02-02 6-08 Retrievalof the InitialValuesandParameters inAtmosphericChemistry by theVariationalAdjoint ethod , 2 3 2 2 FANG H an-xian , WANG T ing-fang, HUANG Si-xun , DU Hua-dong ( . Jiangsu Key Laboratory ofM eteorologicalD isaster, NU IST, Nanjing 2 0044, China; 2. Institute ofM eteorology, PLA University of Science and Technology, Nanjing 2 0 , China; 3. Chengdu M eteorological Center of A ir force, Chengdu 6 004 , China) Abstract:The variational adjoint method in comb ination w ith T ikhonov regularization principle is applied to retrieve the initial gas concentrations and reaction rates in chem ical reactions about ozone destroying in the stratosphere. The adjointmodels and functional grad ients are deduced for the complete and incomplete ( term inal tmi e) observations of the gases. concentrations, respectively. Finally, a series of ideal numerical expermi ents are preform ed to show the validity of the variational adjointmethod. Especially, T ikhonov reg- u larization principle can be used to overcome the i