How can I describe the fossils from the drilling cuttings?

Answer 1

I am not positive that I understand your question.
What kiddo said is right, if your problem is to graphically represent the fossils in the core log.
Perhaps your question is different - you want to know how to study fossils from a drill core. Well, you cannot study or identify a fossil, even a macrofossil, without breaking the core. You have to use a core splitter to cut the particular portion of the core hosting the fossils. Then you have to carefully separate the fossils with the help of fine chisels and other tools - which needs time, patience and delicacy.

Answer 2

If you are looking at drill cores, most companies have special symbols they use to indicate different kinds of fossils when they do core logging. Otherwise just pick up a fossil guidebook or paleo textbook-assuming you don't need a lot of detail- and do the basics. Prothero has a good paleo textbook for general fossil information.