An efficient hybrid pseudospectral/finite-difference scheme for solving the TTI pure P-wave equation

Handle URI:
http://hdl.handle.net/10754/562656
Title:
An efficient hybrid pseudospectral/finite-difference scheme for solving the TTI pure P-wave equation
Authors:
Zhan, Ge; Pestana, Reynam C.; Stoffa, Paul L.
Abstract:
The pure P-wave equation for modelling and migration in tilted transversely isotropic (TTI) media has attracted more and more attention in imaging seismic data with anisotropy. The desirable feature is that it is absolutely free of shear-wave artefacts and the consequent alleviation of numerical instabilities generally suffered by some systems of coupled equations. However, due to several forward-backward Fourier transforms in wavefield updating at each time step, the computational cost is significant, and thereby hampers its prevalence. We propose to use a hybrid pseudospectral (PS) and finite-difference (FD) scheme to solve the pure P-wave equation. In the hybrid solution, most of the cost-consuming wavenumber terms in the equation are replaced by inexpensive FD operators, which in turn accelerates the computation and reduces the computational cost. To demonstrate the benefit in cost saving of the new scheme, 2D and 3D reverse-time migration (RTM) examples using the hybrid solution to the pure P-wave equation are carried out, and respective runtimes are listed and compared. Numerical results show that the hybrid strategy demands less computation time and is faster than using the PS method alone. Furthermore, this new TTI RTM algorithm with the hybrid method is computationally less expensive than that with the FD solution to conventional TTI coupled equations. © 2013 Sinopec Geophysical Research Institute.
KAUST Department:
Earth Science and Engineering Program; Earth Sciences and Engineering Program
Publisher:
IOP Publishing
Journal:
Journal of Geophysics and Engineering
Issue Date:
19-Feb-2013
DOI:
10.1088/1742-2132/10/2/025004
Type:
Article
ISSN:
17422132
Appears in Collections:
Articles; Earth Science and Engineering Program

Full metadata record

DC FieldValue Language
dc.contributor.authorZhan, Geen
dc.contributor.authorPestana, Reynam C.en
dc.contributor.authorStoffa, Paul L.en
dc.date.accessioned2015-08-03T11:00:02Zen
dc.date.available2015-08-03T11:00:02Zen
dc.date.issued2013-02-19en
dc.identifier.issn17422132en
dc.identifier.doi10.1088/1742-2132/10/2/025004en
dc.identifier.urihttp://hdl.handle.net/10754/562656en
dc.description.abstractThe pure P-wave equation for modelling and migration in tilted transversely isotropic (TTI) media has attracted more and more attention in imaging seismic data with anisotropy. The desirable feature is that it is absolutely free of shear-wave artefacts and the consequent alleviation of numerical instabilities generally suffered by some systems of coupled equations. However, due to several forward-backward Fourier transforms in wavefield updating at each time step, the computational cost is significant, and thereby hampers its prevalence. We propose to use a hybrid pseudospectral (PS) and finite-difference (FD) scheme to solve the pure P-wave equation. In the hybrid solution, most of the cost-consuming wavenumber terms in the equation are replaced by inexpensive FD operators, which in turn accelerates the computation and reduces the computational cost. To demonstrate the benefit in cost saving of the new scheme, 2D and 3D reverse-time migration (RTM) examples using the hybrid solution to the pure P-wave equation are carried out, and respective runtimes are listed and compared. Numerical results show that the hybrid strategy demands less computation time and is faster than using the PS method alone. Furthermore, this new TTI RTM algorithm with the hybrid method is computationally less expensive than that with the FD solution to conventional TTI coupled equations. © 2013 Sinopec Geophysical Research Institute.en
dc.publisherIOP Publishingen
dc.subjecthybrid solutionen
dc.subjectTTI wave equationen
dc.titleAn efficient hybrid pseudospectral/finite-difference scheme for solving the TTI pure P-wave equationen
dc.typeArticleen
dc.contributor.departmentEarth Science and Engineering Programen
dc.contributor.departmentEarth Sciences and Engineering Programen
dc.identifier.journalJournal of Geophysics and Engineeringen
dc.contributor.institutionGeophysics, Federal University of Bahia (UFBA), Rua Barao de Geremoabo, Bahia 40110-060, Salvador, Brazilen
dc.contributor.institutionInstitute for Geophysics, University of Texas at Austin, Austin, TX 78713-8924, United Statesen
kaust.authorZhan, Geen
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