Abstract
The 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.
| Original language | English (US) |
|---|---|
| Pages (from-to) | C309-C317 |
| Number of pages | 1 |
| Journal | GEOPHYSICS |
| Volume | 81 |
| Issue number | 6 |
| DOIs | |
| State | Published - Oct 12 2016 |
Bibliographical note
KAUST Repository Item: Exported on 2020-10-01Acknowledgements: A. Stovas would like to acknowledge the ROSE Project for financial support. N. Masmoudi and T. Alkhalifah would like to thank KAUST for financial support.