Shape Optimization in Full Waveform Inversion with Sparse Blocky Model Representations
نویسندگان
چکیده
Abstract. We present a variational framework for shape optimization and shape reconstruction problems in seismic domains based full waveform inversion. We discuss general shape functionals in this framework, along with applications to shape optimization using the Helmholtz equation and image domain segmentation. We study the shape derivative in each case to express the variation of energy with respect to the geometric boundary deformations. Moreover, we present some numerical experiments of the problem of salt body recovery for seismic full waveform inversion in the frequency domain. The level set method is implemented to track the dynamic evolution of shape changes, with the descent direction derived from the shape derivative.
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