Title
Source estimation for wave equations with uncertain parameters
Abstract
Source estimation is a fundamental ingredient of Full Waveform Inversion (FWI). In such seismic inversion methods wavelet intensity and phase spectra are usually estimated statistically although for the FWI formulation as a nonlinear least-squares optimization problem it can naturally be incorporated to the workflow. Modern approaches for source estimation consider robust misfit functions leading to the well known robust FWI method. The present work uses synthetic data generated from a high order spectral element forward solver to produce observed data which in turn are used to estimate the intensity and the location of the point seismic source term of the original elastic wave PDE. A min-max filter approach is used to convert the original source estimation problem into a state problem conditioned to the observations and a non-standard uncertainty description. The resulting numerical scheme uses an implicit midpoint method to solve, in parallel, the chosen 2D and 3D numerical examples running on an IBM Blue Gene/Q using a grid defined by approximately sixteen thousand 5 <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">th</sup> order elements, resulting in a total of approximately 6.5 million degrees of freedom.
Year
DOI
Venue
2015
10.1109/ECC.2015.7330555
2015 European Control Conference (ECC)
Keywords
Field
DocType
IBM Blue Gene-Q,min-max filter approach,elastic wave PDE,seismic source,nonlinear least-squares optimization,FWI formulation,phase spectra,wavelet intensity,seismic inversion method,full waveform inversion,wave equation,source estimation
Seismic inversion,Mathematical optimization,Nonlinear system,Waveform,Algorithm,Midpoint method,Synthetic data,Solver,Optimization problem,Mathematics,Wavelet
Conference
Citations 
PageRank 
References 
0
0.34
3
Authors
8