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RANDOM ATMOSPHERIC PRESSURE AT THE FREE SURFACE AND MICROSEISMS IN DEEP OCEAN
作者单位:LE Jia-chun Shanghai Institute of Applied Mathematics and Mechanics,Shanghai University,Shanghai 200072,China
基金项目:Project supported by the National Natural Science Foundation of China (Grant No. 10372056), the Shanghai Leading Academic Discipline Project (Grant No. Y0103).
摘    要:A general stochastic model of the atmospheric pressure at the ocean surface was proposed, in which the pressure variation was represented by a spectral decomposition through a random process of orthogonal increments. From the basic equations of ideal and incompressible fluid a set of perturbation equations up to second order had been derived and solved. The pressure variation in the flow field had been calculated using the explicit solutions obtained, and which demonstrated a clear relation between the atmospheric pressure and the one at the bottom of deep ocean. It can be seen that there is a part of the pressure variation which is not attenuating with the depth. The result had been compared with those of Longuet-Higgins and Kadota et al. and all previous results are contained in the solution given in this artice. The restriction on the previous works with regard to the probability law has been removed, and all conclusions are deduced without specific assumptions. The flexibility of the proposed model allows for further generalization and extension in the physical aspects and statistical treatment.

关 键 词:水动力学  水力学  动力学特征  研究
收稿时间:28 March 2008

Random atmospheric pressure at the free surface and microseisms in deep ocean
Authors:Jia-chun  
Affiliation:Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China
Abstract:A general stochastic model of the atmospheric pressure at the ocean surface was proposed, in which the pressure variation was represented by a spectral decomposition through a random process of orthogonal increments. From the basic equations of ideal and incompressible fluid a set of perturbation equations up to second order had been derived and solved. The pressure variation in the flow field had been calculated using the explicit solutions obtained, and which demonstrated a clear relation between the atmospheric pressure and the one at the bottom of deep ocean. It can be seen that there is a part of the pressure variation which is not attenuating with the depth. The result had been compared with those of Longuet-Higgins and Kadota et al. and all previous results are contained in the solution given in this artice. The restriction on the previous works with regard to the probability law has been removed, and all conclusions are deduced without specific assumptions. The flexibility of the proposed model allows for further generalization and extension in the physical aspects and statistical treatment.
Keywords:random waves  water waves  nonlinear interaction  orthogonal increments  spectral decomposition  microseism
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