An Analysis of the Variation of Ocean Floor Bathymetry and Heat Flow with Age

Journal of Geophysical Research (1896-1977)Volume 82, Issue 5 p. 803-827 An analysis of the variation of ocean floor bathymetry and heat flow with age Barry Parsons, Barry ParsonsSearch for more papers by this authorJohn G. Sclater, John G. SclaterSearch for more papers by this author Barry Parsons, Barry ParsonsSearch for more papers by this authorJohn G. Sclater, John G. SclaterSearch for more papers by this author First published: 10 February 1977 https://doi.org/10.1029/JB082i005p00803Citations: 2,260AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onEmailFacebookTwitterLinkedInRedditWechat Abstract Two models, a simple cooling model and the plate model, have been advanced to account for the variation in depth and heat flow with increasing age of the ocean floor. The simple cooling model predicts a linear relation between depth and t½, and heat flow and 1/t½, where t is the age of the ocean floor. We show that the same t½ dependence is implicit in the solutions for the plate model for sufficiently young ocean floor. For larger ages these relations break down, and depth and heat flow decay exponentially to constant values. The two forms of the solution are developed to provide a simple method of inverting the data to give the model parameters. The empirical depth versus age relation for the North Pacific and North Atlantic has been extended out to 160 m.y. B.P. The depth initially increases as t½, but between 60 and 80 m.y. B.P. the variation of depth with age departs from this simple relation. For older ocean floor the depth decays exponentially with age toward a constant asymptotic value. Such characteristics would be produced by a thermal structure close to that of the plate model. Inverting the data gives a plate thickness of 125±10 km, a bottom boundary temperature of 1350°±275°C, and a thermal expansion coefficient of (3.2±1.1) × 10−5°C−1. Between 0 and 70 m.y. B.P. the depth can be represented by the relation d(t) = 2500 + 350t½ m, with t in m.y. B.P., and for regions older than 20 m.y. B.P. by the relation d(t) = 6400 - 3200 exp (−t/62.8) m. The heat flow data were treated in a similar, but less extensive manner. Although the data are compatible with the same model that accounts for the topography, their scatter prevents their use in the same quantitative fashion. Our analysis shows that the heat flow only responds to the bottom boundary at approximately twice the age at which the depth does. Within the scatter of the data, from 0 to 120 m.y. B.P., the heat flow pan be represented by the relation q(t) = 11.3/t½ μcal cm−2s−1. The previously accepted view that the heat flow observations approach a constant asymptotic value in the old ocean basins needs to be tested more stringently. The above results imply that a mechanism is required to supply heat at the base of the plate. References , Handbook of Mathematical Functions M. Abramovitz, I. A. Stegun, 298, Dover, New York, 1965. Anderson, R. N., E. E. Davis, A topographic interpretation of the mathematician ridge, Clipperton Ridge, East Pacific Rise System, Nature, 241, 191–193, 1973. Anderson, R. N., J. G. Sclater, Topography and evolution of the East Pacific Rise between 5°S and 20°S, Earth Planet. Sci. Lett., 14, 433–441, 1972. Berggren, W. A., D. P. McKenzie, J. G. Sclater, J. E. vanHinte, World-wide correlation of Mesozoic magnetic anomalies and its implications: Discussion, Geol. Soc. Amer. Bull., 86, 267–269, 1975. 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