1. A method to compress input multidimensional sonic data, the method comprising: decorrelating, with a processor, the input multidimensional sonic data to determine decorrelated multidimensional sonic data, the input multidimensional sonic data having a plurality of dimensions corresponding to a respective plurality of azimuthal directions from which the input multidimensional sonic data was obtained, the decorrelated multidimensional sonic data being decorrelated among the plurality of dimensions of the input multidimensional sonic data; and processing, with the processor, the decorrelated multidimensional sonic data to determine compressed data representative of the input multidimensional sonic data.