Desert seismic events are disturbed and contaminated by strong random noise, which complicates the subsequent processing, inversion, and interpretation of the data. Thus, noise suppression is an important task. The complex characteristics of random noise in desert seismic records differ completely from those of Gaussian white noise such that they are non-stationary, non-Gaussian, non-linear and low frequency. In addition, desert seismic signals and strong random noise generally share the same frequency bands. Such factors bring great difficulties in the processing and interpretation of desert seismic data. To obtain high-quality data in desert seismic exploration, we have developed an effective denoising method for desert seismic data, which performs energy spectrum analysis in the empirical curvelet transform (ECT) domain. The empirical curvelet coefficients are divided into two different groups according to their energy spectrum distributions. In the first group, which contains fewer effective signals, a large threshold is selected to remove lots of random noise; the second group, with more effective signals, a coherence-enhancing diffusion filter (CEDF) is used to eliminate the noise. Unlike traditional curvelet transforms, ECT not only has the multi-scale, multi-direction, and anisotropy properties of conventional curvelet transform, but also provides adaptability to separate the effective signals from the random noise. We examine synthetic and field desert seismic data. The denoising results demonstrate that the proposed method can be used for preserving effective signals and removing random noise.

沙漠地震事件受到强烈的随机噪声的干扰和污染，这使随后的数据处理，反演和解释变得复杂。因此，噪声抑制是重要的任务。沙漠地震记录中随机噪声的复杂特征与高斯白噪声完全不同，因此它们是非平稳，非高斯，非线性和低频的。此外，沙漠地震信号和强烈的随机噪声通常共享相同的频带。这些因素给沙漠地震数据的处理和解释带来了很大的困难。为了获得沙漠地震勘探中的高质量数据，我们开发了一种有效的沙漠地震数据去噪方法，该方法在经验曲线波变换（ECT）领域中进行能量谱分析。经验曲线波系数根据其能谱分布分为两个不同的组。在包含较少有效信号的第一组中，选择一个较大的阈值以消除大量随机噪声。第二组使用更有效的信号，使用相干增强扩散滤波器（CEDF）消除噪声。与传统的Curvelet变换不同，ECT不仅具有常规Curvelet变换的多尺度，多方向和各向异性特性，而且还提供了将有效信号与随机噪声分离的适应性。我们检查了合成和野外沙漠地震数据。去噪结果表明，该方法可用于保留有效信号和消除随机噪声。