Apparently the logo, seen in its dynamic form here, the KOC logo of a falcon or hawk has an interesting origin. Some time ago, after oil was discovered in south Kuwait, some people were out hunting when they say a falcon hovering above a spot in the desert. They went to that spot and there was oil — the first oil find in North Kuwait. Believe it or not.
Since 2008 (and up to 2017) the latest official logo is the following: