Quantifying Tectonic and Geomorphic Interpretations of Thermochronometer Data with Inverse Problem Theory  

作　　者：G.Bao Y.Dou T.A.Ehlers P.Li Y.Wang Z.Xu 

机构地区：[1]Department of Mathematics,Michigan State University,East Lansing,MI 48824,USA [2]Institut fuer Geowissenschaften,Universitat Tuebingen,Germany [3]Department of Mathematics,Purdue University,West Lafayette,IN 47907,USA [4]Department of Mathematics,Fudan University,Shanghai,China [5]Department of Mathematics,Harbin Institute of Technology,Harbin,China

出　　处：《Communications in Computational Physics》2011年第1期129-146,共18页计算物理通讯（英文）

基　　金：The research of G.Bao,Y.Wang,and Z.Xu was supported in part by the NSF CMG grant EAR-0724527;NSF grant EAR-0724656 to T.Ehlers and P.Li.

摘　　要：Thermochronometer data offer a powerful tool for quantifying a wide range of geologic processes,such as the deformation and erosion of mountain ranges,topographic evolution,and hydrocarbon maturation.With increasing interest to quantify a wider range of complicated geologic processes,more sophisticated techniques are needed.This paper is concerned with an inverse problem method for interpreting the thermochronometer data quantitatively.Two novel models are proposed to simulate the crustal thermal fields and paleo mountain topography as a function of tectonic and surface processes.One is a heat transport model that describes the change of temperature of rocks;while the other is surface process model which explains the change of mountain topography.New computational algorithms are presented for solving the inverse problem of the coupled system of these two models.The model successfully provides a new tool for reconstructing the kinematic and the topographic history of mountains.

关 键 词：THERMOCHRONOLOGY heat equations inverse problem variational method iterative method surface processes 

分 类 号：P61[天文地球—矿床学]