A discontinuous Galerkin method for P-wave modeling in tilted TI media

Handle URI:
http://hdl.handle.net/10754/575766
Title:
A discontinuous Galerkin method for P-wave modeling in tilted TI media
Authors:
Amler, Thomas; Alkhalifah, Tariq Ali ( 0000-0002-9363-9799 ) ; Hoteit, Ibrahim ( 0000-0002-3751-4393 )
Abstract:
The acoustic approximation is an efficient alternative to the equations of elastodynamics for modeling Pwave propagation in weakly anisotropic media. We present a stable discontinuous Galerkin (DG) method for solving the acoustic approximation in tilted TI media (acoustic TI approximation). The acoustic TI approximation is considered as a modification of the equations of elastodynamics from which a modified energy is derived. The modified energy is obtained by eliminating the shear stress in the coordinates determined by the tilt angle and finding an energy for the remaining unknowns. This construction is valid if the medium is not elliptically anisotropic, a requirement frequently found in the literature. In the fully discrete setting, the modified energy is also conserved in time the presence of sharp contrasts in material parameters. By construction, the scheme can be coupled to the (fully) acoustic wave equation in the same way as the equations of elastodynamics. Hence, the number of unknowns can be reduced in acoustic regions. Our numerical examples confirm the conservation of energy in the discrete setting and the stability of the scheme.
KAUST Department:
Physical Sciences and Engineering (PSE) Division; Environmental Science and Engineering Program; Earth Fluid Modeling and Prediction Group; Earth Science and Engineering Program
Publisher:
EAGE Publications
Journal:
Proceedings 76th EAGE Conference and Exhibition 2014
Conference/Event name:
76th European Association of Geoscientists and Engineers Conference and Exhibition 2014: Experience the Energy - Incorporating SPE EUROPEC 2014
Issue Date:
2014
DOI:
10.3997/2214-4609.20141529
Type:
Conference Paper
ISBN:
9781632666949
Appears in Collections:
Conference Papers; Environmental Science and Engineering Program; Environmental Science and Engineering Program; Physical Sciences and Engineering (PSE) Division; Physical Sciences and Engineering (PSE) Division; Earth Science and Engineering Program; Earth Science and Engineering Program

Full metadata record

DC FieldValue Language
dc.contributor.authorAmler, Thomasen
dc.contributor.authorAlkhalifah, Tariq Alien
dc.contributor.authorHoteit, Ibrahimen
dc.date.accessioned2015-08-24T09:25:37Zen
dc.date.available2015-08-24T09:25:37Zen
dc.date.issued2014en
dc.identifier.isbn9781632666949en
dc.identifier.doi10.3997/2214-4609.20141529en
dc.identifier.urihttp://hdl.handle.net/10754/575766en
dc.description.abstractThe acoustic approximation is an efficient alternative to the equations of elastodynamics for modeling Pwave propagation in weakly anisotropic media. We present a stable discontinuous Galerkin (DG) method for solving the acoustic approximation in tilted TI media (acoustic TI approximation). The acoustic TI approximation is considered as a modification of the equations of elastodynamics from which a modified energy is derived. The modified energy is obtained by eliminating the shear stress in the coordinates determined by the tilt angle and finding an energy for the remaining unknowns. This construction is valid if the medium is not elliptically anisotropic, a requirement frequently found in the literature. In the fully discrete setting, the modified energy is also conserved in time the presence of sharp contrasts in material parameters. By construction, the scheme can be coupled to the (fully) acoustic wave equation in the same way as the equations of elastodynamics. Hence, the number of unknowns can be reduced in acoustic regions. Our numerical examples confirm the conservation of energy in the discrete setting and the stability of the scheme.en
dc.publisherEAGE Publicationsen
dc.titleA discontinuous Galerkin method for P-wave modeling in tilted TI mediaen
dc.typeConference Paperen
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.contributor.departmentEnvironmental Science and Engineering Programen
dc.contributor.departmentEarth Fluid Modeling and Prediction Groupen
dc.contributor.departmentEarth Science and Engineering Programen
dc.identifier.journalProceedings 76th EAGE Conference and Exhibition 2014en
dc.conference.date16 June 2014 through 19 June 2014en
dc.conference.name76th European Association of Geoscientists and Engineers Conference and Exhibition 2014: Experience the Energy - Incorporating SPE EUROPEC 2014en
dc.conference.locationAmsterdamen
kaust.authorAlkhalifah, Tariq Alien
kaust.authorHoteit, Ibrahimen
kaust.authorAmler, Thomasen
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