Abstract: In order to improve the situation of ignoring the wave number in the traditional coal logging interpretation, and increase utilization of the logging information, this paper presents identifying the different formations by studying the Choi-Williams distribution rules of bilateral logging, neutron logging, acoustic logging, density logging and natural gamma-ray logging. The result indicates that for the tight formation, the dry formation, the water formation and the coal formation, the contour lines of above logging will shows different patterns. By these rules, the different formations can be identified, and the exploitation value of the coal formation can also be initial determined.