Improving wave-equation fidelity of Gaussian beams by solving the complex eikonal equation
نویسنده
چکیده
Gaussian beams are a well-known high-frequency wavefield approximation. A more accurate representation can be obtained by the complex eikonal equation. We propose a constructive algorithm for solving the complex eikonal equation. By re-writing the complex traveltime as background real and imaginary parts and their respective perturbations, we arrive at an update scheme that aims at solving the complex eikonal equation iteratively. The initial prior may come from the Gaussian beam approximation computed by dynamic ray tracing. Proper boundary conditions can ensure correct update directions. The result embraces complete details of the velocity model and therefore can help enhancing accuracy of Gaussianbeam migration and other related applications.
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