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A 3D Fast Radon transform algorithm based on deflecting ellipse model and its application on multiple attenuation

Ma Jitao

Acta Geophysica

2024

Vol. 72, no. 1

177--193

Three-dimensional seismic exploration has been widely used to produce subsurface images for oil and gas. As one of the most commonly used multiple attenuation methods, 2D Radon transform cannot describe the three-dimensional wave-fields in realistic subsurface conditions. Conventional 3D Radon transform assumes that the properties of the medium are the same, or approximately the same, in all directions. The time slice of seismic data will be a standard ellipse, and its focal points are located at survey lines. However, In the case of complex geology, the medium may have different property in different directions. And the time slice of acquired 3D seismic data becomes a deflected ellipse, and its focal points are no longer located on the survey lines. Conventional 3D Radon transform based on standard ellipse can no longer describe seismic data accurately. A rotating ellipse model parameter is introduced to 3D Radon transform to describe seismic data in complex areas. The three-parameter 3D Radon transform based on rotating ellipse model is derived in detail. However, the operator matrix in the new formula is huge due to the introduced variable, and it cannot be decomposed into small matrices, leading the computation cost to be considerably high. The frequency and curvature are merged into one new parameter to deal with the low computational efficiency problem. The corresponding fast algorithm is also derived. The application of synthetic and real data examples shows that the proposed method can describe complex seismic data more accurately, and the method can attenuate multiples in complex cases much better.