A daisy chain method to quickly determine lithosphere, asthenosphere and mantle properties from the loading history of an area

Abstract

SUMMARY The lithosphere and asthenosphere are fundamental to plate tectonics and many other earth processes. Vertical motions can be measured quickly and accurately by the satellite Global Positioning System, GPS and other methods. This paper describes a new analytic method for inferring the elastic and viscous properties of the lithosphere and upper mantle from the uplift rate and history of an area that has been subjected to past surface load changes. The viscous response time of the centre of loading is determined from the dimensions of the load, a loading history comprised of linear segments, an estimate of the flexural rigidity of the lithosphere and a single constraint such as the current central uplift rate. The response time is then interpreted in terms of the elastic properties of the lithosphere, and the elastic and viscous depth profiles of the underlying mantle. The method is described mathematically and then illustrated through analysis of the isostatic adjustment observed in nine areas affected by Little Ice Age glaciation. The method replicates published conclusions, extracts insights from an extensive literature, provides new ways to separate the impacts of the lithosphere and asthenosphere on uplift rates and emergence, and indicates the widespread geographic distribution of a thin asthenosphere.