中文摘要：

讨论了叠前地震记录中随机噪声的模拟方法，采用定性分析与Monte Carlo仿真相结合的方法，研究了在物理小波为基本小波的变换域该类随机噪声局部小波功率谱的统计特性，得出：其局部小波功率谱服从X2^2分布．在此基础上，利用假设检验给出了在给定置信度下确定有效信号在小波变换域内能量分布空间的方法，通过在有效信号能量分布空间重建信号来压制噪声．给出了模型及实际地震资料算例，证明了本文提出的方法的有效性．

英文摘要：

The modeling of the random noise in prestack seismic data is discussed. The statistic character of the local wavelet power spectrum of the random noise is studied by qualitative analysis and Monte Carlo simulation using physical wavelet. A conclusion is drawn that the distribution of the local wavelet power spectrum of the noise is X2^2 On the basis of the conclusion, a method of determing the area of the useful signal energy distribution in wavelet domain is given and the noise is restrained by reconstruction of the signal from the area. The validity of the method is proved by calculations of a model and real seismic data.