Application of perturbation theory to a P-wave eikonal equation in orthorhombic media
KAUST DepartmentEarth Science and Engineering Program
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AbstractThe P-wave eikonal equation for orthorhombic (ORT) anisotropic media is a highly nonlinear partial differential equation requiring the solution of a sixth-order polynomial to obtain traveltimes, resulting in complex and time-consuming numerical solutions. To alleviate this complexity, we approximate the solution of this equation by applying a multiparametric perturbation approach. We also investigated the sensitivity of traveltime surfaces inORT mediawith respect to three anelliptic parameters. As a result, a simple and accurate P-wave traveltime approximation valid for ORT media was derived. Two different possible anelliptic parameterizations were compared. One of the parameterizations includes anelliptic parameters defined at zero offset: η1, η2, and ηxy. Another parameterization includes anelliptic parameters defined for all symmetry planes: η1, η2, and η3. The azimuthal behavior of sensitivity coefficients with different parameterizations was used to analyze the crosstalk between anelliptic parameters. © 2016 Society of Exploration Geophysicists.
CitationStovas A, Masmoudi N, Alkhalifah T (2016) Application of perturbation theory to a P-wave eikonal equation in orthorhombic media. GEOPHYSICS 81: C309–C317. Available: http://dx.doi.org/10.1190/GEO2016-0097.1.
SponsorsA. Stovas would like to acknowledge the ROSE Project for financial support. N. Masmoudi and T. Alkhalifah would like to thank KAUST for financial support.
PublisherSociety of Exploration Geophysicists