Linearity Analysis of the Random Noise in Land Seismic Prospecting

The existence of the random noise is one of the main obstacles for getting higher-accuracy seismic records. The investigation of the seismic random noise properties is the pathway for improving the performance of noise attenuation algorithms. Here, we use the statistical testing methods to investigate the linearity of land-seismic-prospecting random noise, whereas the linearity, to some extent, can reflect the complexity of the generating process of the noise. The results show that the noise cannot be considered as a linear stochastic process. By analyzing the behaviors of the dataset, we obtain that the non-linear noise always have more energy in high frequency bands, and the energy distributions of the non-linear noise are disordered in high frequencies. Thus, the linearity of the random noise should be improved by attenuating the energy in high frequencies. We use an experiment to prove the correctness of our results. Based on the generating mechanism of the random noise, we also give a reasonable explanation for the results of our study. The findings have implications for future noise reduction and signal detection algorithms.