Reflection FWI in MBTT formulation: Macro velocity reconstruction

V. Tcheverda, K. Gadylshin, G. Chavent, C. Shin, J. Shin

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

Abstract

Unfortunately we have to admit that after decades of development there are still no reliable techniques of full waveform inversion which guarantee reliable reconstruction of both macrovelocity model and reflectors reconstruction for reasonable acquisitions and frequency ranges. As reasonable we mean realistic offsets (about one-two depths of target objects) and temporal frequency above 5-7 Hz. The paper is devoted to the so-called Migration Based Travel Times (MBTT) formulation of the data misfit functional. This approach relies on the decomposition of a velocity model onto two subspaces - smooth propagator and rough depth reflectors. On this base the modified data misfit functional is introduced and compared with standard least squares formulation. Numerical Singular Value Decomposition proves that these two formulations produce functionals which have almost orthogonal stable subspaces. As is well known the classical formulation leads to stable subspaces mainly made of fast oscillating functions (reflectors). At the same time we prove that MBTT modification ensures appearance of the propagator in these stable subspaces. Numerical experiments prove the feasibility of full inversion for reflected waves in this modified reformulation for the well known Gullfaks velocity model.

Original languageEnglish
Title of host publication7th EAGE Saint Petersburg International Conference and Exhibition
Subtitle of host publicationUnderstanding the Harmony of the Earth's Resources Through Integration of Geosciences
PublisherEuropean Association of Geoscientists and Engineers, EAGE
Pages69-73
Number of pages5
ISBN (Electronic)9781510822498
DOIs
Publication statusPublished - 2016
Externally publishedYes
Event7th EAGE Saint Petersburg International Conference and Exhibition: Understanding the Harmony of the Earth's Resources Through Integration of Geosciences - Saint Petersburg, Russian Federation
Duration: 11 Apr 201614 Apr 2016

Publication series

Name7th EAGE Saint Petersburg International Conference and Exhibition: Understanding the Harmony of the Earth's Resources Through Integration of Geosciences

Conference

Conference7th EAGE Saint Petersburg International Conference and Exhibition: Understanding the Harmony of the Earth's Resources Through Integration of Geosciences
CountryRussian Federation
CitySaint Petersburg
Period11.04.201614.04.2016

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