Full-waveform inversion with Mumford-Shah regularization

TitleFull-waveform inversion with Mumford-Shah regularization
Publication TypeConference
Year of Publication2018
AuthorsAjinkya Kadu, Rajiv Kumar, Tristan van Leeuwen
Conference NameSEG Technical Program Expanded Abstracts
Page1258-1262
Month10
KeywordsFWI, Mumford-Shah, regularization, SEG
Abstract

Full-waveform inversion (FWI) is a non-linear procedure to es- timate subsurface rock parameters from surface measurements of induced seismic waves. This procedure is ill-posed in nature and hence, requires regularization to enhance some structure depending on the prior information. Recently, Total-variation (TV) regularization has gained popularity due to its ability to produce blocky structures. Contrary to this, the earth behave more like a piecewise smooth function. TV regularization fails to enforce this prior information into FWI. We propose a Mumford-Shah functional to incorporate the piecewise smooth spatial structure in the FWI procedure. The resulting opti- mization problem is solved by a splitting method. We show the improvement in results against TV regularization on two synthetic camembert examples.

Notes

(SEG, Anaheim)

URLhttps://slim.gatech.edu/Publications/Public/Conferences/SEG/2018/kadu2018SEGMSFWI/kadu2018SEGMSFWI.pdf
DOI10.1190/segam2018-2997224.1
Citation Keykadu2018SEGMSFWI