Abstract:Parabolic Radon transform is one of the effective methods for removing multiple abroad,but unfortunately is less used at home. One of the important reasons is lack of enough knowledge about the key problems such as physical meaning of parabolic Radon transform,its adaptive conditions,algorithm and selection of parameters etc. On the basis of model study and through theoretical model test,the paper separately discussed the characters and existed problems of Radon transform in time domain,different realizing ways and applied effects of Radon transform in frequency domain, alias of Radon domain,solution of complex coefficient matrix equation and selection of white coefficient,mute and truncation effects of multiple in Radon domain and self-adaptive filtering mute etc.,acquired some useful conclusions:1.PRT in time-domain can't be directly used;2.the least-square method of forward transform in frequency domain is of benefit to removing multiple;3.the parameter values in Radon domain should meet the sampling theorem;4.the selected white coefficient of solving complex coefficient equation is in a region of 0.1-1.0;5.to add a gain function similar to Butterworth filter can realize self-adaptive filtering of multiple. Using the method presented in the paper for practical data processing achieved a good applied results.