An iterative, fast-sweeping-based eikonal solver for 3D tilted anisotropic media

Handle URI:
http://hdl.handle.net/10754/348526
Title:
An iterative, fast-sweeping-based eikonal solver for 3D tilted anisotropic media
Authors:
Waheed, Umair bin ( 0000-0002-5189-0694 ) ; Yarman, Can Evren; Flagg, Garret
Abstract:
Computation of first-arrival traveltimes for quasi-P waves in the presence of anisotropy is important for high-end near-surface modeling, microseismic-source localization, and fractured-reservoir characterization - and it requires solving an anisotropic eikonal equation. Anisotropy deviating from elliptical anisotropy introduces higher order nonlinearity into the eikonal equation, which makes solving the eikonal equation a challenge. We addressed this challenge by iteratively solving a sequence of simpler tilted elliptically anisotropic eikonal equations. At each iteration, the source function was updated to capture the effects of the higher order nonlinear terms. We used Aitken's extrapolation to speed up convergence rate of the iterative algorithm. The result is an algorithm for computing first-arrival traveltimes in tilted anisotropic media. We evaluated the applicability and usefulness of our method on tilted transversely isotropic media and tilted orthorhombic media. Our numerical tests determined that the proposed method matches the first arrivals obtained by wavefield extrapolation, even for strongly anisotropic and highly complex subsurface structures. Thus, for the cases where two-point ray tracing fails, our method can be a potential substitute for computing traveltimes. The approach presented here can be easily extended to compute first-arrival traveltimes for anisotropic media with lower symmetries, such as monoclinic or even the triclinic media.
KAUST Department:
Physical Sciences and Engineering (PSE) Division
Citation:
An iterative, fast-sweeping-based eikonal solver for 3D tilted anisotropic media 2015, 80 (3):C49 GEOPHYSICS
Publisher:
Society of Exploration Geophysicists
Journal:
GEOPHYSICS
Issue Date:
30-Mar-2015
DOI:
10.1190/geo2014-0375.1
Type:
Article
ISSN:
0016-8033; 1942-2156
Additional Links:
http://library.seg.org/doi/abs/10.1190/geo2014-0375.1
Appears in Collections:
Articles; Physical Sciences and Engineering (PSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorWaheed, Umair binen
dc.contributor.authorYarman, Can Evrenen
dc.contributor.authorFlagg, Garreten
dc.date.accessioned2015-04-05T07:49:16Zen
dc.date.available2015-04-05T07:49:16Zen
dc.date.issued2015-03-30en
dc.identifier.citationAn iterative, fast-sweeping-based eikonal solver for 3D tilted anisotropic media 2015, 80 (3):C49 GEOPHYSICSen
dc.identifier.issn0016-8033en
dc.identifier.issn1942-2156en
dc.identifier.doi10.1190/geo2014-0375.1en
dc.identifier.urihttp://hdl.handle.net/10754/348526en
dc.description.abstractComputation of first-arrival traveltimes for quasi-P waves in the presence of anisotropy is important for high-end near-surface modeling, microseismic-source localization, and fractured-reservoir characterization - and it requires solving an anisotropic eikonal equation. Anisotropy deviating from elliptical anisotropy introduces higher order nonlinearity into the eikonal equation, which makes solving the eikonal equation a challenge. We addressed this challenge by iteratively solving a sequence of simpler tilted elliptically anisotropic eikonal equations. At each iteration, the source function was updated to capture the effects of the higher order nonlinear terms. We used Aitken's extrapolation to speed up convergence rate of the iterative algorithm. The result is an algorithm for computing first-arrival traveltimes in tilted anisotropic media. We evaluated the applicability and usefulness of our method on tilted transversely isotropic media and tilted orthorhombic media. Our numerical tests determined that the proposed method matches the first arrivals obtained by wavefield extrapolation, even for strongly anisotropic and highly complex subsurface structures. Thus, for the cases where two-point ray tracing fails, our method can be a potential substitute for computing traveltimes. The approach presented here can be easily extended to compute first-arrival traveltimes for anisotropic media with lower symmetries, such as monoclinic or even the triclinic media.en
dc.publisherSociety of Exploration Geophysicistsen
dc.relation.urlhttp://library.seg.org/doi/abs/10.1190/geo2014-0375.1en
dc.rightsArchived with thanks to GEOPHYSICSen
dc.titleAn iterative, fast-sweeping-based eikonal solver for 3D tilted anisotropic mediaen
dc.typeArticleen
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.identifier.journalGEOPHYSICSen
dc.eprint.versionPublisher's Version/PDFen
dc.contributor.institutionSchlumberger, Cambridge, UKen
dc.contributor.institutionSchlumberger, Houston, Texas, USAen
kaust.authorWaheed, Umair binen
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