Identification of uncertainties in the shape of geophysical objects with level sets and the adjoint method

被引：12
|
作者：
Papadopoulos, Dimitris [1 ]
Herty, Michael
Rath, Volker [2 ]
Behr, Marek [1 ]
机构：
[1] Rhein Westfal TH Aachen, Chair Computat Anal Tech Syst, CCES, D-52056 Aachen, Germany
[2] Univ Complutense, Dpto Astrofis & CC Atmosfera, Fac CC Fis, E-28040 Madrid, Spain
来源：
COMPUTATIONAL GEOSCIENCES | 2011年 / 15卷 / 04期
关键词：
Inverse problems; Shape optimization; Finite element method; Level set method; CONTROLLED EVOLUTION; INVERSE PROBLEMS; RECONSTRUCTION; OPTIMIZATION; FLOW; SENSITIVITY; PARAMETER; STATE;
D O I：
10.1007/s10596-011-9242-6
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
A shape reconstruction method for geophysical objects by temperature measurements is presented which uses adjoint equations and a level set function approach. Temperature is measured on subdomains, e.g., representing boreholes. This information is used to reconstruct the shape of the geophysical layers. For this purpose, shape optimization techniques are applied. The method uses a representation of the layers by a so-called level set function. The evolution of this level set function is then used to determine the optimal shape. The "speed" of the evolution is computed using adjoint equations. Synthetic examples demonstrate the use of the inverse method and its behavior in different configurations.
引用
收藏
页码：737 / 753
页数：17
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