In oil and gas exploration,multiples are usually regarded as the coherent noise that affects the processing and interpretation accuracy of seismic data.Therefore,the study of multiple suppression methods has always been an important research direction in the field of geophysical prospecting.Given that the surface-related multiples are the most developed multiples in seismic exploration,especially in marine seismic exploration,it is necessary to conduct a deep study on the suppression methods of surface-related multiples.At present,the surface-related multiple suppression method that enjoys high accuracy and is widely applied at home and abroad is the feedback iteration method based on the wave equation.This method takes the original seismic data as the predictive factor and requires no other prior conditions and allows for high-precision suppression of surface-related multiples driven by data.A series of more advanced methods have been developed based on the theory of this method in recent years.This paper briefly introduces the theoretical basis of the feedback iteration method(i.e.,the feedback iteration model) firstly and then describes the surface-related multiple suppression mechanisms of the four methods developed based on the feedback iterative model, namely SRME,the inverse data domain method,EPSI,and Cl-SRME.Finally,it compares the advantages and disadvantages of these four methods and proposes the research prospects of multiple suppression methods based on the feedback iteration model.