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This paper presents an effective decomposition method for multicomponent seismic wavefields. It is assumed in this method that the changes of amplitude and phase for seismic wavefields in adjacent traces are small. In this case the vertical and the horizontal components for both longitudinal and shear waves are determined by their different polarization and slowness during propagation. Under the least square constraint, the polarization and slowness for each wave can be estimated from the input multicomponent data. Therefore, the longitudinal and the converted waves can be reconstructed and then separated. This method is accurate. Not only the multicomoponent wavefields of primaries can be decomposed effectively with this method, but also the many times reflected longitudinal and converted waves can be decomposed as well. Strigraphical information such as velocity is not needed in this method and therefore the effect of human errors is reduced. The example of synthetic data confirms that this method is feasible and correct.

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