Traveltime approximations and parameter estimation for orthorhombic media

Handle URI:
http://hdl.handle.net/10754/614407
Title:
Traveltime approximations and parameter estimation for orthorhombic media
Authors:
Masmoudi, Nabil; Alkhalifah, Tariq Ali ( 0000-0002-9363-9799 )
Abstract:
Building anisotropy models is necessary for seismic modeling and imaging. However, anisotropy estimation is challenging due to the trade-off between inhomogeneity and anisotropy. Luckily, we can estimate the anisotropy parameters Building anisotropy models is necessary for seismic modeling and imaging. However, anisotropy estimation is challenging due to the trade-off between inhomogeneity and anisotropy. Luckily, we can estimate the anisotropy parameters if we relate them analytically to traveltimes. Using perturbation theory, we have developed traveltime approximations for orthorhombic media as explicit functions of the anellipticity parameters η1, η2, and Δχ in inhomogeneous background media. The parameter Δχ is related to Tsvankin-Thomsen notation and ensures easier computation of traveltimes in the background model. Specifically, our expansion assumes an inhomogeneous ellipsoidal anisotropic background model, which can be obtained from well information and stacking velocity analysis. We have used the Shanks transform to enhance the accuracy of the formulas. A homogeneous medium simplification of the traveltime expansion provided a nonhyperbolic moveout description of the traveltime that was more accurate than other derived approximations. Moreover, the formulation provides a computationally efficient tool to solve the eikonal equation of an orthorhombic medium, without any constraints on the background model complexity. Although, the expansion is based on the factorized representation of the perturbation parameters, smooth variations of these parameters (represented as effective values) provides reasonable results. Thus, this formulation provides a mechanism to estimate the three effective parameters η1, η2, and Δχ. We have derived Dix-type formulas for orthorhombic medium to convert the effective parameters to their interval values.
KAUST Department:
Physical Sciences and Engineering (PSE) Division
Citation:
Traveltime approximations and parameter estimation for orthorhombic media 2016, 81 (4):C127 GEOPHYSICS
Publisher:
Society of Exploration Geophysicists
Journal:
GEOPHYSICS
Issue Date:
30-May-2016
DOI:
10.1190/geo2015-0367.1
Type:
Article
ISSN:
0016-8033; 1942-2156
Sponsors:
We thank KAUST for financial support. We thank A. Stovas for many useful discussions. We also thank U. bin Waheed for his help in accessing his orthorhombic traveltime calculation. We are also grateful to I. Ravve, N. Belayouni, I. Pšenčík, and Y. Luo for their critical and helpful reviews of the paper.
Additional Links:
http://library.seg.org/doi/10.1190/geo2015-0367.1
Appears in Collections:
Articles

Full metadata record

DC FieldValue Language
dc.contributor.authorMasmoudi, Nabilen
dc.contributor.authorAlkhalifah, Tariq Alien
dc.date.accessioned2016-06-23T10:50:43Z-
dc.date.available2016-06-23T10:50:43Z-
dc.date.issued2016-05-30-
dc.identifier.citationTraveltime approximations and parameter estimation for orthorhombic media 2016, 81 (4):C127 GEOPHYSICSen
dc.identifier.issn0016-8033-
dc.identifier.issn1942-2156-
dc.identifier.doi10.1190/geo2015-0367.1-
dc.identifier.urihttp://hdl.handle.net/10754/614407-
dc.description.abstractBuilding anisotropy models is necessary for seismic modeling and imaging. However, anisotropy estimation is challenging due to the trade-off between inhomogeneity and anisotropy. Luckily, we can estimate the anisotropy parameters Building anisotropy models is necessary for seismic modeling and imaging. However, anisotropy estimation is challenging due to the trade-off between inhomogeneity and anisotropy. Luckily, we can estimate the anisotropy parameters if we relate them analytically to traveltimes. Using perturbation theory, we have developed traveltime approximations for orthorhombic media as explicit functions of the anellipticity parameters η1, η2, and Δχ in inhomogeneous background media. The parameter Δχ is related to Tsvankin-Thomsen notation and ensures easier computation of traveltimes in the background model. Specifically, our expansion assumes an inhomogeneous ellipsoidal anisotropic background model, which can be obtained from well information and stacking velocity analysis. We have used the Shanks transform to enhance the accuracy of the formulas. A homogeneous medium simplification of the traveltime expansion provided a nonhyperbolic moveout description of the traveltime that was more accurate than other derived approximations. Moreover, the formulation provides a computationally efficient tool to solve the eikonal equation of an orthorhombic medium, without any constraints on the background model complexity. Although, the expansion is based on the factorized representation of the perturbation parameters, smooth variations of these parameters (represented as effective values) provides reasonable results. Thus, this formulation provides a mechanism to estimate the three effective parameters η1, η2, and Δχ. We have derived Dix-type formulas for orthorhombic medium to convert the effective parameters to their interval values.en
dc.description.sponsorshipWe thank KAUST for financial support. We thank A. Stovas for many useful discussions. We also thank U. bin Waheed for his help in accessing his orthorhombic traveltime calculation. We are also grateful to I. Ravve, N. Belayouni, I. Pšenčík, and Y. Luo for their critical and helpful reviews of the paper.en
dc.language.isoenen
dc.publisherSociety of Exploration Geophysicistsen
dc.relation.urlhttp://library.seg.org/doi/10.1190/geo2015-0367.1en
dc.rightsArchived with thanks to GEOPHYSICSen
dc.subjectanisotropyen
dc.subjecteffectiveen
dc.subjectestimationen
dc.subjectmultiparameteren
dc.subjecttraveltimeen
dc.titleTraveltime approximations and parameter estimation for orthorhombic mediaen
dc.typeArticleen
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.identifier.journalGEOPHYSICSen
dc.eprint.versionPublisher's Version/PDFen
dc.contributor.affiliationKing Abdullah University of Science and Technology (KAUST)en
kaust.authorMasmoudi, Nabilen
kaust.authorAlkhalifah, Tariq Alien
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