Considered are simplified model concepts allowing the use of the AMSU microwave radiometer measurement data and the maps of scattering index (SI) compiled by them for estimating the variability of the thickness of thin and young ice as well as for obtaining principally new satellite information about the areas of the possible hummocking of ice cover. Demonstrated is the essential influence of deep cyclones on the ice thickness reduction due to the ice thawing from below in the areas where waves are driven under the ice from the warmer, not frozen part of the water area. Carried out is a comparative analysis of sea ice properties identified from SI maps and the traditional maps of ice condition analysis. Noted is a possibility of the useful application of all-weather SI maps for monitoring sea ice properties in the areas of their rapid variability formed during the periods of a deep cyclone passage.