Nearfield hydroisostasy: the implementation of a revised sealevel equation
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Abstract 
We describe how the existing sealevel equation incorrectly predicts the change in sea level (and thus the ocean load) in icecovered, subgeoidal geographic regions during periods of deglaciation. We go on to present a new sealevel equation that overcomes this problem and we describe how this equation can be solved in a gravitationally selfconsistent manner by employing a wellknown spectral technique. Application of the new theory to predict relative sealevel (rsl) histories and presentday, 3D, solid surface deformation rates in northeastern Canada (based on a single earth model characterized by a lithospheric thickness of 100 km and upper and lower mantle viscosities of 5 x 1020 and 5 x 1021 Pa s, respectively) demonstrates that a significant error is introduced when the original theory is employed to predict the oceanic component of the surface load. Predictions of rsl curves show a discrepancy of ~ 40 per cent at sites where data have been obtained and employed to constrain models of earth viscosity structure and icesheet histories. This error will significantly bias estimates of mantle viscosity structure and ice thicknesses that are based on the original theory. In addition, predictions of 3D deformation rates differ by up to 25 per cent in some regions and so future applications that employ these data to constrain models of the glacial isostatic adjustment process should adopt the improved sealevel theory. In contrast, estimates of inverse decay times from the predicted rsl curves are insensitive (to within the observational error) to the improvement in the surface load introduced by the new theory. Thus, viscosity structure inferences based on this parametrization and the original sealevel equation are unaffected by the error in the ocean load. Finally, the new theory predicts a eustatic (i.e. globally uniform) rise in sea level over the postglacial period that is ~ 11 m lower than that determined via the original theory. Therefore, estimates of the global ice budget at the last glacial maximum based on farfield rsl data and the original sealevel theory will be too small by ~ 10 per cent.

Year of Publication 
1999

Journal 
Geophysical Journal International

Volume 
139

Number of Pages 
464482

Date Published 
11/1999

URL 
http://adsabs.harvard.edu/abs/1999GeoJI.139..464M

DOI 
10.1046/j.1365246x.1999.00971.x

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