The Effect of the Pseudo-Spherical Wave to the Reflectivity
Y. Tao, S. Wang
Abstract
Y. Tao, S. Wang
Abstract
Summary In real seismic surveys, seismic wave propagates in the form of spherical wave and plane wave is the approximations of spherical wave in the far-field and for high frequencies. The traditional seismic processing and interpretation methods based on the plane wave theory are not exact. Studying the characteristics of reflected spherical wave can develop more accurate wave theory. In this paper, a two-layer model with a high-velocity upper layer is built to analyze the characteristics of spherical reflected wave. Tests show when the incident angle reaches a certain level, there will be an irregular wave, the pseudo-spherical wave. This irregular wave is always comes after the reflected spherical wave and has a great influence on the reflectivity. This discovery is firstly proposed by our work and has enriched our understanding of wave propagation theory and will have important guiding significance for further study on wave phenomena.
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Summary In real seismic surveys, seismic wave propagates in the form of spherical wave and plane wave is the approximations of spherical wave in the far-field and for high frequencies. The traditional seismic processing and interpretation methods based on the plane wave theory are not exact. Studying the characteristics of reflected spherical wave can develop more accurate wave theory. In this paper, a two-layer model with a high-velocity upper layer is built to analyze the characteristics of spherical reflected wave. Tests show when the incident angle reaches a certain level, there will be an irregular wave, the pseudo-spherical wave. This irregular wave is always comes after the reflected spherical wave and has a great influence on the reflectivity. This discovery is firstly proposed by our work and has enriched our understanding of wave propagation theory and will have important guiding significance for further study on wave phenomena.
Key concepts: Spherical wave, Plane wave, Surface wave, Wave propagation, Stokes wave, Wave shoaling, Field (mathematics), Plane (geometry)