An approximate method for the acoustic attenuating orthorhombic eikonal equation
KAUST DepartmentEarth Science and Engineering Program
Physical Science and Engineering (PSE) Division
Seismic Wave Analysis Group
Online Publication Date2018-08-27
Print Publication Date2018-08-27
Permanent link to this recordhttp://hdl.handle.net/10754/631483
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AbstractSolving the eikonal equation is used widely in traveltime calculation, tomography, Kirchhoff migration etc. The complex eikonal equation governs the traveltimes in an attenuating medium, where the real and imaginary parts of the traveltimes are associated with the phase and energy-absorption, respectively. Attenuating orthorhombic anisotropy can be used to explain the azimuthal variation of velocity- and attenuation-anisotropy measured from surface seismic data. We present an approximate method to solve the acoustic eikonal equation for an attenuating orthorhombic medium. We combine perturbation theory and Shanks transform in different ways to derive the analytic solutions in the case of homogeneous media. We design a fast marching scheme to solve the acoustic eikonal equation numerically. We share some numerical examples to demonstrate the effectiveness of the complex eikonal equation in predicting attenuation.
CitationHao Q, Alkhalifah T (2018) An approximate method for the acoustic attenuating orthorhombic eikonal equation. SEG Technical Program Expanded Abstracts 2018. Available: http://dx.doi.org/10.1190/segam2018-2992033.1.
PublisherSociety of Exploration Geophysicists
Conference/Event name88th Society of Exploration Geophysicists International Exposition and Annual Meeting, SEG 2018