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本文在二维频率空间F-XY域预测技术基础上提出了三维频率空间F-XYZ域预测去噪方法。其基本假设仍然是F－XYZ域的地震数据中有效信号具有可预测性，而随机噪声无此特性。该方法首先把地震数据变换到F－XYZ域，利用最小平方原理求取预测算子；然后将此预测算子应用到地震数据中，实现压制随机噪声的目的；最后把地震数据变换到时空域得到最终结果。理论模型试算与实际资料处理均表明，三维频率空间F－XYZ域预测去噪技术是压制三维叠前地震数据中随机噪声的一种行之有效的处理方法。
Based on the F-XY domain prediction technique in two-dimensional frequency space, this paper proposes a F-XYZ domain prediction de-noising method in three-dimensional frequency space. The basic assumption is still that the effective signal in the seismic data of the F-XYZ domain is predictable, while random noise does not. The method first transforms the seismic data into the F-XYZ domain and uses the least square principle to obtain the prediction operator. Then, the prediction operator is applied to the seismic data to suppress the random noise. Finally, the seismic data is transformed into the space-time domain Get the final result. Theoretical model trial and actual data processing both show that the F-XYZ domain prediction de-noising technique in 3D frequency space is an effective method to suppress stochastic noise in 3D prestack seismic data.