Finding temporal variations of tectonic uplift rate through inversion of long profiles of rivers: Formulation, algorithm, and application to tilted blocks in the western Basi... Academic Article uri icon

abstract

  • A major forcing agent responsible for the evolution of fluvial landscapes is the rate of tectonic uplift. Recently, a growing body of evidence has shown that temporal changes in uplift rate affect the longitudinal profiles of rivers by introducing variations of river steepness and migrating knickpoints. An important and challenging question is thus whether and how the inverse problem may be solved, ie can tectonic uplift rates, U, be extracted reliably from the longitudinal profiles of rivers? A well-established formulation relates the change of landscape elevation through time to tectonic uplift rate and to erosion rate, which is described as a power law function of the upstream drainage area, Am, and the local slope, Sn, where m and n are positive exponents. In this work, we present a close form integral solution to the above formulation for the linear case, where n= 1. The integral solution is …

publication date

  • December 1, 2012