Specialization: 010700/07 Physics of the Earth and planets Program: 10 Waves in elastic media Head of laboratory: Prof. B. Kashtan Earth’s physics department Scientific adviser: Prof. B. Kashtan Reviewer: Dr. Y. Kiselev Diffraction traveltime approximation for an anisotropic homogeneous elastic medium Pronevich Anna Diffraction play an important part of seismic processing since they provide the high-resolution seismic imaging. The aim of the study was to obtain a new approximation of the diffraction response for a homogeneous anisotropic medium. The new traveltime expression is formulated as a double-square-root that allows to accurately and reliably describe diffraction traveltimes. In the homogeneous anisotropic medium, the location of the diffraction apex might be shifted with respect to the diffractor location. The magnitude of the shift depends on the angle of emergence of the fastest ray emitted from the diffractor. In general, new approximation depends on four independent parameters: the emergence angle of the fastest ray, the ray velocity along this ray, and first and second-order derivatives of the ray velocity with respect to the ray angle. The effectiveness of new diffraction response approximation was evaluated by comparing the numerically computed traveltime with exact values for different models. The application of this method to synthetic data with different types of transverse anisotropy shows promising results. The list of the publication: 1. Pronevich A., S. Dell, Kashtan B. Diffraction traveltime approximation for an homogeneous anisotropic elastic medium // Problems of geophysics, accepted. 1 2. Anna Pronevich, Sergius Dell, Boris Kashtan and Dirk Gajewski Diffraction traveltime approximation for anisotropic media // Geophysics. To be published in 2013. Jule-August. 2