The Library
Binary recovery via phase field regularization for first-arrival traveltime tomography
Tools
Dunbar, Oliver and Elliott, Charles M. (2019) Binary recovery via phase field regularization for first-arrival traveltime tomography. Inverse Problems, 35 (9). 095004. doi:10.1088/1361-6420/ab1c6c ISSN 0266-5611.
|
PDF
WRAP-binary-recovery-phase-field-regularization-first-arrival-traveltime-tomography-Dunbar-2019.pdf - Accepted Version - Requires a PDF viewer. Available under License Creative Commons Attribution Non-commercial No Derivatives. Download (1816Kb) | Preview |
Official URL: https://doi.org/10.1088/1361-6420/ab1c6c
Abstract
We propose a double obstacle phase field methodology for binary recovery of the slowness function of an Eikonal equation found in first-arrival traveltime tomography. We treat the inverse problem as an optimization problem with quadratic misfit functional added to a phase field relaxation of the perimeter penalization functional. Our approach yields solutions as we account for well posedness of the forward problem by choosing regular priors. We obtain a convergent finite difference and mixed finite element based discretization and a well defined descent scheme by accounting for the non-differentiability of the forward problem. We validate the phase field technique with a Γ – convergence result and numerically by conducting parameter studies for the scheme, and by applying it to a variety of test problems with different geometries, boundary conditions, and source – receiver locations.
Item Type: | Journal Article | ||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Subjects: | Q Science > QA Mathematics | ||||||||||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||||||
Library of Congress Subject Headings (LCSH): | Binary system (Mathematics), Eikonal equation, Geometric tomography, Seismic tomography, Seismic traveltime inversion | ||||||||||||
Journal or Publication Title: | Inverse Problems | ||||||||||||
Publisher: | Institute of Physics Publishing Ltd. | ||||||||||||
ISSN: | 0266-5611 | ||||||||||||
Official Date: | 20 August 2019 | ||||||||||||
Dates: |
|
||||||||||||
Volume: | 35 | ||||||||||||
Number: | 9 | ||||||||||||
Article Number: | 095004 | ||||||||||||
DOI: | 10.1088/1361-6420/ab1c6c | ||||||||||||
Status: | Peer Reviewed | ||||||||||||
Publication Status: | Published | ||||||||||||
Access rights to Published version: | Restricted or Subscription Access | ||||||||||||
Date of first compliant deposit: | 29 April 2019 | ||||||||||||
Date of first compliant Open Access: | 25 April 2020 | ||||||||||||
RIOXX Funder/Project Grant: |
|
||||||||||||
Related URLs: |
Request changes or add full text files to a record
Repository staff actions (login required)
View Item |
Downloads
Downloads per month over past year