Image Wave Equation in underground seismic analysis
DOI:
https://doi.org/10.22481/intermaths.v2i1.8565Keywords:
Remigration, Image Wave, Finite Difference, Numerical AnalysisAbstract
In this work, we study the image wave equation and its use for the depth remigration problem through numerical methods. The problem is to reconstruct an image of the underground geological layers from an initial image migrated with a velocity model. The main objective is the investigation of possible numerical methods for the solution of the image wave equation and, for that, theoretical investigation and numerical analysis were performed. Numerical tests show that the finite difference method with centered approximations is the most efficient. In addition, the implementations show physical and analytical similarity to the classical wave equation. Such similarity is useful because we can consider known and extensively studied methods for the classical wave equation, and apply them to investigations of the image wave equation for in-depth remigration problems.
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