Abstract:The inverse Qfiltering is a useful method for the compensation of stratigraphic absorption. However,the instability of the amplitude compensation restricts the application of this method in seismic data processing for medium-and deep-seated strata.In the paper,we propose a stable inverse Qfiltering using the iterative filtering method.Firstly,the high frequency components can be suppressed effectively by a low-pass filter multiplying the spectrum of seismic records.Then we obtain the recursive formula of the iterative method. The successive approximation of iterative method can make up the instability of the amplitude compensation in the low and medium frequency components in inverse Qfiltering.The general formula of the iterative filtering method is obtained after the proved convergence.Model test and comparative analyses on the filter characteristics of the amplitude compensation operator indicate that the iterative filtering method shows a better performance in noise immunity and amplitude compensation in deep-seated strata seismic data in comparison than the common inverse Qfiltering methods.The proposed method is applied to the field seismic data. The attenuated seismic amplitude is compensated stably and effectively,and seismic data S/N ratio and resolution of the medium-and deep-seated strata are improved.