Multi-Parameter Estimation for Orthorhombic Media

Type
Article

Authors
Masmoudi, Nabil
Alkhalifah, Tariq Ali

KAUST Department
Earth Science and Engineering Program
Physical Science and Engineering (PSE) Division
Seismic Wave Analysis Group

Online Publication Date
2015-08-19

Print Publication Date
2015-08-19

Date
2015-08-19

Abstract
Building reliable anisotropy models is crucial in seismic modeling, imaging and full waveform inversion. However, estimating anisotropy parameters is often hampered by the trade off between inhomogeneity and anisotropy. For instance, one way to estimate the anisotropy parameters is to relate them analytically to traveltimes, which is challenging in inhomogeneous media. Using perturbation theory, we develop travel-time approximations for orthorhombic media as explicit functions of the anellipticity parameters η1, η2 and a parameter Δγ in inhomogeneous background media. Specifically, our expansion assumes inhomogeneous ellipsoidal anisotropic background model, which can be obtained from well information and stacking velocity analysis. This approach has two main advantages: in one hand, it provides a computationally efficient tool to solve the orthorhombic eikonal equation, on the other hand, it provides a mechanism to scan for the best fitting anisotropy parameters without the need for repetitive modeling of traveltimes, because the coefficients of the traveltime expansion are independent of the perturbed parameters. Furthermore, the coefficients of the traveltime expansion provide insights on the sensitivity of the traveltime with respect to the perturbed parameters. We show the accuracy of the traveltime approximations as well as an approach for multi-parameter scanning in orthorhombic media.

Citation
Nabil Masmoudi* and Tariq Alkhalifah (2015) Multi-Parameter Estimation for Orthorhombic Media. SEG Technical Program Expanded Abstracts 2015: pp. 504-508. doi: 10.1190/segam2015-5836248.1

Publisher
Society of Exploration Geophysicists

Journal
SEG Technical Program Expanded Abstracts 2015

DOI
10.1190/segam2015-5836248.1

Additional Links
http://library.seg.org/doi/10.1190/segam2015-5836248.1

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