Source-receiver two-way wave extrapolation for prestack exploding-reflector modelling and migration

Handle URI:
http://hdl.handle.net/10754/563792
Title:
Source-receiver two-way wave extrapolation for prestack exploding-reflector modelling and migration
Authors:
Alkhalifah, Tariq Ali ( 0000-0002-9363-9799 ) ; Fomel, Sergey; Wu, Zedong
Abstract:
Most modern seismic imaging methods separate input data into parts (shot gathers). We develop a formulation that is able to incorporate all available data at once while numerically propagating the recorded multidimensional wavefield forward or backward in time. This approach has the potential for generating accurate images free of artiefacts associated with conventional approaches. We derive novel high-order partial differential equations in the source-receiver time domain. The fourth-order nature of the extrapolation in time leads to four solutions, two of which correspond to the incoming and outgoing P-waves and reduce to the zero-offset exploding-reflector solutions when the source coincides with the receiver. A challenge for implementing two-way time extrapolation is an essential singularity for horizontally travelling waves. This singularity can be avoided by limiting the range of wavenumbers treated in a spectral-based extrapolation. Using spectral methods based on the low-rank approximation of the propagation symbol, we extrapolate only the desired solutions in an accurate and efficient manner with reduced dispersion artiefacts. Applications to synthetic data demonstrate the accuracy of the new prestack modelling and migration approach.
KAUST Department:
Physical Sciences and Engineering (PSE) Division; Earth Science and Engineering Program; Environmental Science and Engineering Program
Publisher:
Wiley-Blackwell
Journal:
Geophysical Prospecting
Issue Date:
8-Oct-2014
DOI:
10.1111/1365-2478.12162
Type:
Article
ISSN:
00168025
Sponsors:
We are grateful to Anton Duchkov, Maarten de Hoop, Lexing Ying and Yu Zhang for many stimulating discussions on the subject. We thank the associate editor and two anonymous reviewers for their helpful suggestions and comments. We thank KAUST and specifically the KAUST-UT AEA Round 2 project for its support.
Appears in Collections:
Articles; Environmental Science and Engineering Program; Physical Sciences and Engineering (PSE) Division; Earth Science and Engineering Program

Full metadata record

DC FieldValue Language
dc.contributor.authorAlkhalifah, Tariq Alien
dc.contributor.authorFomel, Sergeyen
dc.contributor.authorWu, Zedongen
dc.date.accessioned2015-08-03T12:10:16Zen
dc.date.available2015-08-03T12:10:16Zen
dc.date.issued2014-10-08en
dc.identifier.issn00168025en
dc.identifier.doi10.1111/1365-2478.12162en
dc.identifier.urihttp://hdl.handle.net/10754/563792en
dc.description.abstractMost modern seismic imaging methods separate input data into parts (shot gathers). We develop a formulation that is able to incorporate all available data at once while numerically propagating the recorded multidimensional wavefield forward or backward in time. This approach has the potential for generating accurate images free of artiefacts associated with conventional approaches. We derive novel high-order partial differential equations in the source-receiver time domain. The fourth-order nature of the extrapolation in time leads to four solutions, two of which correspond to the incoming and outgoing P-waves and reduce to the zero-offset exploding-reflector solutions when the source coincides with the receiver. A challenge for implementing two-way time extrapolation is an essential singularity for horizontally travelling waves. This singularity can be avoided by limiting the range of wavenumbers treated in a spectral-based extrapolation. Using spectral methods based on the low-rank approximation of the propagation symbol, we extrapolate only the desired solutions in an accurate and efficient manner with reduced dispersion artiefacts. Applications to synthetic data demonstrate the accuracy of the new prestack modelling and migration approach.en
dc.description.sponsorshipWe are grateful to Anton Duchkov, Maarten de Hoop, Lexing Ying and Yu Zhang for many stimulating discussions on the subject. We thank the associate editor and two anonymous reviewers for their helpful suggestions and comments. We thank KAUST and specifically the KAUST-UT AEA Round 2 project for its support.en
dc.publisherWiley-Blackwellen
dc.titleSource-receiver two-way wave extrapolation for prestack exploding-reflector modelling and migrationen
dc.typeArticleen
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.contributor.departmentEarth Science and Engineering Programen
dc.contributor.departmentEnvironmental Science and Engineering Programen
dc.identifier.journalGeophysical Prospectingen
dc.contributor.institutionBureau of Economic Geology Jackson School of Geosciences, The University of Texas, Austin University Station, Box XAustin, TX, United Statesen
kaust.authorAlkhalifah, Tariq Alien
kaust.authorWu, Zedongen
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