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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Sea level equation ： ウィキペディア英語版 Sea level equation The sea level equation (SLE) is the linear, integral equation that describes the sea-level variations associated with the Glacial Isostatic Adjustement (GIA). The basic idea of the SLE dates back to 1888, when Woodward published his pioneering work on the form and position of mean sea level,〔Woodward, R. S., 1988. On the form and position of mean sea level. United States Geol. Survey Bull., 48, 87170.〕 and only later has been refined by Platzman 〔Platzman , G. W., 1971. Ocean tides. In Lectures in Applied Mathematics, 14, part 2, pp. 239292, American Mathematical Society, Providence, RI.〕 and Farrell 〔Farrell, W. E., 1973. Earth tides, ocean tides and tidal loading. Phil. Trans. R. Soc. Lond. A, 274, 253259.〕 in the context of the study of the ocean tides. In the words of Wu and Peltier,〔Wu, P., and W. R. Peltier. Glacial isostatic adjustment and the free–air gravity anomaly as a constraint on deep mantle viscosity. Geophys. J. R. Astron. Soc., 74, 377449, 1983.〕 the solution of the SLE yields the space– and time–dependent change of ocean bathymetry which is required to keep the gravitational potential of the sea surface constant for a specific deglaciation chronology and viscoelastic earth model. The SLE theory was then developed by other authors as Mitrovica & Peltier,〔Mitrovica, J. X. & Peltier, W. R., 1991. On postglacial geoid subsidence over the equatorial ocean. J. geophys. Res., 96, 20,05320,071.〕 Mitrovica et al.〔Mitrovica, J. X., Davis, J. L. & Shapiro, I. I., 1994. A spectral formal- ism for computing three–dimensional deformations due to surface loads. J. geophys. Res., 99, 70577073.〕 and Spada & Stocchi.〔Spada G. & Stocchi, P., 2006. The Sea Level Equation, Theory and Numerical Examples. ISBN 88-548-0384-7, 96 pp., Aracne, Roma.〕 In its simplest form, the SLE reads :$S=N-U,$ where $S$ is the sea–level change, $N$ is the sea surface variation as seen from Earth's center of mass, and $U$ is vertical displacement. In a more explicit form the SLE can be written as follow: : $S\; (\backslash theta,\; \backslash lambda,\; t)\; =\; \backslash frac\; G\_s\; \backslash otimes\_i\; I\; +\; \backslash frac\; G\_s\; \backslash otimes\_o\; S\; +\; S^E\; -\; \backslash frac\backslash overline\; -\; \backslash frac\backslash overline,$ where $\backslash theta$ is colatitude and $\backslash lambda$ is longitude, $t$ is time, $\backslash rho\_i$ and $\backslash rho\_w$ are the densities of ice and water, respectively, $\backslash gamma$ is the reference surface gravity, $G\_s=G\_s(h,k)$ is the sea–level Green’s function (dependent upon the $h$ and $k$ viscoelastic load–deformation coefficients - LDCs), $I=\; I(\backslash theta,\; \backslash lambda,\; t)$ is the ice thickness variation, $S^E=S^E(t)$ represents the eustatic term (i.e. the ocean–averaged value of $S$), $\backslash otimes\_i$ and $\backslash otimes\_o$ denote spatio–temporal convolutions over the ice– and ocean–covered regions, and the overbar indicates an average over the surface of the oceans that ensures mass conservation. ==References== 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Sea level equation」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.