In the denoising process of seismic prospecting, random noise is often assumed to be stationary. However, this is not always appropriate for real seismic data. Here, using the passive noise records collected according to the requirements of the actual seismic prospecting, we use the statistical testing methods to investigate the stationarity of land-seismic-prospecting random noise. The results show that the noise can not be considered as a stationary stochastic process. By analyzing the behaviors of the dataset, we obtain that the non-stationary noise always have more energy in high frequency bands, and the energy distributions of the non-stationary noise are disordered in high frequencies. Thus, the stationarity 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. The findings have implications for future noise reduction and signal detection algorithms.


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