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The optimal shape design method applied to modelling thermal thinning of the oceanic lithosphere near hot spots

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Прuменяя меmо¶rt; оnmuмaльного nоuскa облaсmu, коmорыŭ в общuх черmaх оnuсывaеmся, u ¶rt;aнные о mеnловом nоmоке, вычuсленa формa лumосферы u ее mеnловое nоле в верmuкaльноŭ nлоскосmu, naрaллельноŭ скоросmu лumосферы оmносumельно uсmочнuкaгорячеŭ mочкu u у¶rt;aленноŭ nрuблuзumельно 250 км оm лuнuuгaвaŭского aрхunелaгa. Резульmamы срaвнены с вычuсленuямu, основaннымu нa u¶rt;еu Крaфa (Crough), кaсaющuмuся mеnлового уmоненuя океaнuческоŭ лumосферы нa¶rt; uсmочнuкомгорячеŭ mочкu. Еслu nре¶rt;nоложumь, чmо лamерaльное nоnеречное сеченuе лumосферuческого ¶rt;нa оnuсывaеmся крuвоŭ Гaуссa Δh=Δh0 exp (−y2/2σ2), mо nолучumся Δh0 ≦35 кмuσ ≧130 км,г¶rt;е Δh—лumосферuческое уmоненuе u у—лamерaльнaя коор¶rt;uнama. Сле¶rt;овamельно, σ=130 км являеmся нuжным nре¶rt;елом лamерaльного рaзмерaгaвaŭскоŭ aномaлuu.

Summary

Using the optimal shape design method, which is generally described, and von Herzen's et al. measurements of the heat flow, the shape of the lithosphere and its thermal field is computed in the vertical plane parallel to the hot spot source versus the plate velocity at a distance of about 250 km from the axis of the Hawaiian Island chain. The results are compared with the computations based on Crough's idea of thermal rejuvenation of the oceanic lithosphere above a hot spot source. If we assume that the lateral cross-section of the lithospheric bottom is described by the Gaussian curve Δh=Δh0 exp (−y2/2σ2), we obtain Δh0≦35 km and σ≧130 km, where Δh is the value of lithospheric thinning and y the lateral coordinate. We thus obtain the lower limit of the lateral dimension of the Hawaiian anomaly.

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  1. Department of Geophysics and Meteorology, Faculty of Mathematics and Physics, Charles University, Prague

    Ctirad Matyska

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Matyska, C. The optimal shape design method applied to modelling thermal thinning of the oceanic lithosphere near hot spots. Stud Geophys Geod 30, 356–375 (1986). https://doi.org/10.1007/BF01646380

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