Abstract: Multiple is a coherent noise and exists in most seismic data. The residual moveout of multiples of common midpoint (CMP) following partial dynamic correction is more close to hyperbola. This paper presents the principle of multiple attenuation by time invariant hyperbolic Radon transform (TIHRT) in frequency-space domain and the TIHRT formula and the discrete sampling algorithm. The TIHRT approach is equivalent to parabolic Radon transform (PRT) in terms of computational efficiency because of the decoupling for any temporal frequency, but it is more accurate in separating multiples from primary sections than PRT. The multiple attenuation of horizontal layer media shows that TIPRT approach can attenuate multiples effectively in prestack of seismic data. The multiple attenuation of complex SMAART model indicates the validity and practicability of TIHRT approach.

Key words: multiple reflection, attenuation, transform, model, algorithm