Seismic Data Regularization with Anti-Leakage Fourier Transform

D. Pham, S. Xu
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引用次数: 18

Abstract

D032 Seismic Data Regularization with Anti-leakage Fourier Transform SHENG XU and DON PHAM Abstract 1 Veritas DCG Inc. Town Park Drive Houston Tx 77072 USA In the theory of Fourier reconstruction from discrete seismic data it aims to estimate the spatial frequency content on an irregularly sampled grid. After obtaining the Fourier coefficients the data can be reconstructed on any desired grid. For this type of transform difficulties arise from the non-orthogonality of the global basis functions on an irregular grid. As a consequence energy from one Fourier coefficient leaks onto other coefficients. This well-known phenomenon is called “spectral leakage”.
基于抗泄漏傅里叶变换的地震数据正则化
基于反泄漏傅里叶变换的地震数据正则化在离散地震数据的傅里叶重建理论中,其目的是估计不规则采样网格上的空间频率内容。得到傅里叶系数后,数据可以在任意网格上重构。这种变换的难点在于全局基函数在不规则网格上的非正交性。结果,一个傅立叶系数的能量泄漏到其他系数上。这种众所周知的现象被称为“光谱泄漏”。
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