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Jiang Mingshun,Fang Xinhua. 1999. The multifractal characters of temperature finestructures in the equatorial western Pacific Ocean. Acta Oceanologica Sinica, (3):293-310
The multifractal characters of temperature finestructures in the equatorial western Pacific Ocean
The multifractal characters of temperature finestructures in the equatorial western Pacific Ocean
Received:July 28, 1998  Revised:December 30, 1998
DOI:
Key words:Multifractal characters  ocean finestructures  equatorial western Pacific Ocean
中文关键词:  Multifractal characters  ocean finestructures  equatorial western Pacific Ocean
基金项目:The study was supported by the National Natural Science Foundation of China under contracts No. 49376257, No. 4950/6071 and No. 49676275, and the Research Fund for Doctorial Program of Higher Education under contracts No. 9542309 and No.98042306.
Author NameAffiliation
Jiang Mingshun Institute of Abopheric Physics, Beijing 100029, China 
Fang Xinhua Physical Oceanography institute, clean University of Qingdao, Qingdao 266003, China 
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Abstract:
      By using part of CTD data collected at 2°S,155°E during the fall cruise of TOGA project in 1992,the multifractal characters of temperature finestructures are investigated.The absolute temperature gradients are supposed to be multifractal and their moments are computed by conventional box-counting method.It is found that these momeets have power dependence on the box size.This power dependence has two different scaling regimes,called S regime and I-regime respectively,with different scaling exponents.This is consistent with the combined effects of internal waves and mixing.Accordingly,the generalized fractal dimensions (Renyi dimension) of temperature gradients are derived.A nonlinear curve of the scaling exponents suggest a possible multifractal apptnach of the temperature shear.In fact,both regimes can be approximated by Besicovitch-Cantor model,respectively,by suitably chosen model parameters.A phenomenological model is developed on the basis of this two-regime mechanism.The model is compared with field data and Qood agreement is achieved.
中文摘要:
      By using part of CTD data collected at 2°S,155°E during the fall cruise of TOGA project in 1992,the multifractal characters of temperature finestructures are investigated.The absolute temperature gradients are supposed to be multifractal and their moments are computed by conventional box-counting method.It is found that these momeets have power dependence on the box size.This power dependence has two different scaling regimes,called S regime and I-regime respectively,with different scaling exponents.This is consistent with the combined effects of internal waves and mixing.Accordingly,the generalized fractal dimensions (Renyi dimension) of temperature gradients are derived.A nonlinear curve of the scaling exponents suggest a possible multifractal apptnach of the temperature shear.In fact,both regimes can be approximated by Besicovitch-Cantor model,respectively,by suitably chosen model parameters.A phenomenological model is developed on the basis of this two-regime mechanism.The model is compared with field data and Qood agreement is achieved.
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