An iterative fast sweeping based eikonal solver for tilted orthorhombic media
Type
Conference PaperKAUST Department
Earth Science and Engineering ProgramKAUST Solar Center (KSC)
Physical Science and Engineering (PSE) Division
Date
2014-08-05Online Publication Date
2014-08-05Print Publication Date
2014-08-05Permanent link to this record
http://hdl.handle.net/10754/333044
Metadata
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Computing first-arrival traveltimes of quasi-P waves in the presence of anisotropy is important for high-end near-surface modeling, microseismic-source localization, and fractured-reservoir characterization, and requires solving an anisotropic eikonal equation. Anisotropy deviating from elliptical anisotropy introduces higher-order nonlinearity into the eikonal equation, which makes solving the eikonal equation a challenge. We address this challenge by iteratively solving a sequence of simpler tilted elliptically anisotropic eikonal equations. At each iteration, the source function is updated to capture the effects of the higher order nonlinear terms. We use Aitken extrapolation to speed up the convergence rate of the iterative algorithm. The result is an algorithm for first-arrival traveltime computations in tilted anisotropic media. We demonstrate our method on tilted transversely isotropic media and tilted orthorhombic media. Our numerical tests demonstrate that the proposed method can match the first arrivals obtained by wavefield extrapolation, even for strong anisotropy and complex structures. Therefore, for the cases where oneor two-point ray tracing fails, our method may be a potential substitute for computing traveltimes. Our approach can be extended to anisotropic media with lower symmetries, such as monoclinic or even triclinic media.Citation
Waheed*, U. bin, Yarman, C. E., & Flagg, G. (2014). An iterative fast sweeping based eikonal solver for tilted orthorhombic media. SEG Technical Program Expanded Abstracts 2014. doi:10.1190/segam2014-0846.1Publisher
Society of Exploration GeophysicistsConference/Event name
SEG Technical Program Expanded Abstracts 2014ae974a485f413a2113503eed53cd6c53
10.1190/segam2014-0846.1