  An initial study of the extremely high energy (EHE) physics capabilityof the
IceCube neutrino observatory is demonstrated by considering a GZK mechanism
neutrino production model, which is a guaranteed source for EHE neutrinos. We
study EHE event properties in the energy range $10^{5}$ $<$ E $<$ $10^{11}$ GeV
observed by IceCube using detailed Monte Carlo simulation. Results of a
simulation study show that about 0.7 EHE neutrino events per year is expected
with the full IceCube configuration over a 0.03 atmospheric muon background
which passed an EHE event criteria. It is also shown that with the present
partial IceCube detector with the same criteria is capable of studying EHE
physics and the sensitivity improves with the number of deployed strings in the
ice.
