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

作者: Dimitris Papadopoulos , Michael Herty , Volker Rath , Marek Behr

DOI: 10.1007/S10596-011-9242-6

关键词: Representation (mathematics)Inverse problemHydrogeologyLevel set methodMathematicsActive shape modelAdjoint equationGeophysicsShape optimizationMathematical analysisFinite element method

摘要: A shape reconstruction method for geophys- ical objects by temperature measurements is presented which uses adjoint equations and a level set function approach. Temperature measured on subdomains, e.g., representing boreholes. This information used to reconstruct the of geophysical layers. For this purpose, optimization techniques are applied. The representation layers so-called function. evolution then determine optimal shape. "speed" computed using equations. Synthetic examples demonstrate use inverse its behavior in different configurations.