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In seismic exploration using multiple long streamers in the deep sea��the multiples damages the deep effective reflection and is difficult to remove the multiples�� The authors introduce a high-resolution anisotropic ��adon transform�� This method brings in one more parameter of non-ellipticity eta into the traditional ��adon transform��and changes the integral of two parameters (slowness and offset) to three parameters (slowness��offset distance and nonellipticity)��which enables better capacity to characterize of the time difference in non-hyperbolic reflection under long-offset conditions�� Satisfactory results are obtained through suppressing the multiples in field data of multi-cable long-offset seismic waves�� The processed data are conducive to the subsequent imaging of deep structure��