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How much would rising sea levels depress the Earths crust with the additional weight of water?

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How much would rising sea levels depress the Earths crust with the additional weight of water?

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The answer to this problem is quite complex. The computation involves computing depressions of distributed loads of a certain size. For example, for a 1 metre load of water over discs of different radii, the vertical displacements at the centre are:- 1 km radius -0.3mm 10 km radius -2mm 100 km radius -11mm Thus, the depression just due to the weight of water in the local area that is flooded is probably only a few tenths of a mm. For the crustal displacement due to an increase in sea level over a whole sea area (such as the North Sea), a larger mass is involved. For example, our work on storm surge loading shows that a storm surge of about 2 metres in the southern North Sea depresses the crust by 20 to 30 mm in near coastal areas.

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