• Economic and Environmental Geology
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• v.30 no.6
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• pp.637-644
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• 1997

Active young back-arc basin such as Mariana, Havre, Lau, Manus, East Scotia basins have asymmetric topography of two types in respect to the spreading axis. The arc-trench wing of Mariana Trough, Lau basin and Havre Trough are shallower toward the active arc, whereas those Manus and East Scotia basins are nearly symmetric to the opposite wings. The other asymmetry which shows the spreading axis deviated from the geographic axis toward the active arc is observed in each basin. Active young back-arc basins show a large variety of asymmetry rates ranging from the lowest East Scotia Basin to the highest Mariana Trough. The asymmetric topography of these young back-arc basins seems to be caused by the rollback rate of downgoing slab under the basin. As the rollback rate increases, the asymmetry rate systematically decreases.

• KSCE Journal of Civil and Environmental Engineering Research
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• v.28 no.4B
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• pp.413-419
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• 2008

In this study, we develop analytical solutions for long waves propagating over several types of axis-symmetric topographies where the water depth varies in an arbitrary power of radial distance. The first type is a cylindrical island mounted on a shoal. The second type is a circular island. To get the solution, the methods of separation of variables, Taylor series expansion and Frobenius series are used. Developed analytical solutions are validated by comparing with previously developed analytical solutions. We also investigate various cases with different incident wave periods, radii of the shoal, and the powers of radial distance.