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大气科学  2011 

气溶胶粒子反演的约束优化方法

DOI: 10.3878/j.issn.1006-9895.2011.05.16

Keywords: 地球环境反问题病态反演计算方法

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Abstract:

气溶胶粒子大小分布是地球环境科学研究中最重要的方向之一。由数学物理模型来估计气溶胶的粒子分布是一个不适定的反问题,反演的目的就是用适定的问题来代替不适定问题,并获得原问题解的近似。本文研究气溶胶粒子分布的约束优化反演方法。首先探讨了问题的病态性,接着基于对待反演参数施加先验约束给出了正则化模型。在正则化的具体实现上,研究了带线搜索技巧的BFGS算法。数值试验表明了本文的算法可以用来稳定地求解气溶胶粒子分布的反演问题,基于正则化模型的BFGS方法可以很好地反演气溶胶粒子分布函数。

References

[1]  Twomey S Comparison of constrained linear inversion and an iterative nonlinear algorithm applied to the indirect estimation of particle size distributions [J] 1975 doi:10.1016/0021-9991(75)90028-5
[2]  Tikhnnov A N;Arsenin V Y,Solutions of Ill-Posed Problems,New York:John Wiley and Sons,Inc,1977.
[3]  Ramachandran G;Leith D;Todd L,Extraction of spatial aerosol distribution from multispectral light extinction measurements with computed tomography,J Opt Soc Am (A,1994.
[4]  Davies C N,Size distribution of atmospheric particles,Journal of Aerosol Science,1974.
[5]  袁亚湘,非线性规划数值方法,上海:上海科学技术出版社,1993.
[6]  肖庭延;于慎根;王彦飞,反问题的数值解法,北京:科学出版社,2003.
[7]  王彦飞;斯捷潘诺娃;提塔连科,地球物理数值反演问题,北京:高等教育出版社,2011.
[8]  Wang Y F,An efficient gradient method for maximum entro py regularizing retrieval of atmospheric aerosol particle size distri bution function,Journal of Aerosol Science,2008.
[9]  Wang Y F;Ma Q H,A gradient method for regularizing retrieval of aerosol particle size distribution function,Journal of Industrial and Management Optimization,2009.
[10]  Wang Y F;Ma S Q;Yang H,On the effective inversion by imposing a priori information for retrieval of land surface parameters,Science in China (Ser D,2009.
[11]  Bohren G F;Huffman D R,Absorption and Scattering of Light by Small Particles,New York:John Wiley and Sons,Inc,1983.
[12]  Wang Y F;Fan S F;Feng X,Retrieval of the aerosol particle size distribution function by incorporating a priori information,Journal of Aerosol Science,2007.
[13]  王彦飞,反演问题的计算方法及其应用,北京:高等教育出版社,2007.
[14]  Wang Y F;Fan S F;Feng F,Regularized inversion method for retrieval of aerosol particle size distribution function in W1,2 space,Applied Optics,2006.

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