Abstract
The traditional hyperbolic Radon transform suffers from the major problem of how to both obtain a high resolution and preserve the amplitude variation with offset (AVO). In the Radon domain, high resolution (sparseness) is a valid criterion. However, if a sparse model is obtained in the Radon domain due to averaging along the offset direction, then it is not possible to preserve the AVO in the inversion data. In addition, hyperbolic Radon transform has a time-variant kernel based on a traditional iterative algorithm, the conjugate gradient (CG), which requires significant computation time. To solve these problems, we propose a Radon transform based on waveform that contains both cycle and amplitude characteristics of seismic waves. The new transform entails creating an upper envelope for the seismic data and computing a preliminary forward Radon transform in the time domain. The forward Radon transform incorporates a priori information by measuring the energy of each slowness (p) trace to obtain the high-resolution result of the Radon domain. For AVO preserving, the proposed method uses polynomials to describe the AVO characteristics in the inverse Radon transform based on the least-squares inversion. Besides amplitude preserving and high resolution, the proposed method avoids using CG and greatly reduces the cost of computing hyperbolic Radon transform in the time domain. In applications to both synthetic and field data, waveform Radon transform (WRT) has a better performance than the conjugate gradient Radon transform (CGRT).
Highlights
Over the past two decades, Radon transform has been widely used in seismic data processing, especially in multiple attenuation and seismic data interpolation [1,2,3,4,5,6,7]
In this paper, we proposed a waveform Radon transform (WRT) method considering both wave shape characteristics and energy characteristics of seismic data, which can preserve amplitude variation with offset (AVO)
We proposed a waveform Radon transform (WRT) method considering both wave shape characteristics and energy characteristics of seismic data, which can preserve AVO
Summary
Over the past two decades, Radon transform has been widely used in seismic data processing, especially in multiple attenuation and seismic data interpolation [1,2,3,4,5,6,7]. Thorson et al [8] proposed a time-domain hyperbolic least-squares method, which led to the high-resolution transform at the expense of a very large matrix computation. Wang [15] (2014) split the seismic gather into two Radon gathers, which reduced the amplitude distortion and preserved the AVO phenomena compared with the classical sparse Radon transform. Another problem of high-resolution Radon transform is the large computation time. This approach combines the high resolution of the time-domain Radon transform and the computational efficiency of the frequency-domain Radon transform This technique cannot implement the hyperbolic Radon Transform, which is time-variant. Compared with CGRT, the proposed method has a high computation efficiency
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