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Improved Plane Wave Destruction for Iterative Local Slope Estimation
- Publisher: European Association of Geoscientists & Engineers
- Source: Conference Proceedings, 76th EAGE Conference and Exhibition 2014, Jun 2014, Volume 2014, p.1 - 5
Abstract
The estimation of local slopes has been an important topic for numerous seismic processing applications. Many local slope algorithms are based on the plane wave destruction approach, using the time derivative of the seismic trace along with a horizontal gradient trace to generate estimates of the dip. Differentiation increases high frequencies in the data, limiting the accuracy of these dip estimates. Alternatively, the plane wave destruction equation may be recast in terms of integration. In this case the original seismic trace is used along with the causal integration of the horizontal gradient trace. Since there is no differentiation to boost high frequency noise, and since numerical integration is itself a smoothing process, this approach leads to better-behaved dip estimates. In both cases, the finite difference approximation of the gradient leads to a biased estimate. However, as long as the local event slopes are not aliased, the dip estimates will be of the correct sign, and an iterative application of the algorithm will lead to accurate local slopes.