When designing systems to operate in regions through which icebergs tr
avel, one of the first inputs of interest is the expected numbers of e
ncounters with icebergs. In this paper, geometric solutions are presen
ted for a cylindrical gravity-based structure, a floating production v
essel, and a cargo vessel. The required inputs are the average areal d
ensity of icebergs, the average iceberg water line length, and the ave
rage iceberg drift velocity. Example calculations are presented for th
e Grand Banks region off Canada's east coast.