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时频分析方法是地震数据处理和解释领域的一个重要工具.本文基于最小二乘原理和正则化方法,提出了约束最小二乘时频分析方法.该方法是在有限支撑、非正交基函数空间下,通过迭代整形正则化方法求取信号傅里叶系数的一种时频分析方法.该方法是短时傅里叶变换时频分析方法的延伸和发展,具有较高的时频分析精度,能较准确地识别信号的频谱特征.理论分析和实际资料应用表明,该方法能够较精确的刻画储层的位置和边界,能够进一步提高储层预测的精度.
Time-frequency analysis method is an important tool in the field of seismic data processing and interpretation.This paper proposes a constrained least-squares time-frequency analysis method based on the principle of least squares and regularization method.This method is based on the finite support, non-orthogonal basis function Space, a time-frequency analysis method of signal Fourier coefficients is obtained by iterative shaping regularization method. This method is an extension and development of the short-time Fourier transform time-frequency analysis method with high precision of time-frequency analysis Can accurately identify the spectral characteristics of the signal.The theoretical analysis and practical application show that the method can accurately depict the location and boundary of the reservoir and further improve the accuracy of reservoir prediction.