Print Email Facebook Twitter An auxiliary bump functional to overcome cycle skipping in waveform inversion Title An auxiliary bump functional to overcome cycle skipping in waveform inversion Author Pisupati, P.B. Mulder, W.A. Drijkoningen, G.G. Faculty Civil Engineering and Geosciences Department Geoscience & Engineering Date 2015-06-01 Abstract To overcome the local minima problem in FWI, we propose to use an auxiliary data-domain objective function during inversion. It reduces the data to a simpler form by squaring, followed by blurring to ensure that events that are too far apart can still interact during the inversion. As it effectively replaces seismic arrivals by bumps, we call it the bump functional. This objective function is less sensitive to cycle skipping. Its rôle is to guide the inversion towards the global minimum by pulling the trapped solution out of the local minima associated with the least-squares functional whenever necessary. Waveform inversion cannot be performed with only the auxiliary objective function because it is insensitive to the polarity of the arrivals and the source signature. Therefore, we alternate between minimization with this and the classic least-squares functional. We confirm the validity of the approach using a simple numerical example with reflection data. To reference this document use: http://resolver.tudelft.nl/uuid:f78ac8b1-a9b1-4ad3-b862-5f7374a50f8c Publisher EAGE Source 77th EAGE Conference and Exhibition 2015, Madrid, Spain, 1-4 June 2015 Part of collection Institutional Repository Document type conference paper Rights (c) 2015 The Author(s) Files PDF 317648.pdf 520.03 KB Close viewer /islandora/object/uuid:f78ac8b1-a9b1-4ad3-b862-5f7374a50f8c/datastream/OBJ/view