The time-dependent physics of ice sublimation through thin layers of till i
s considered, to determine whether sublimation could be sufficiently slow t
o permit the preservation of ice for 8 Ma in the Dry Valleys, Antarctica. T
his could only happen if the ice had been very thick, bur other evidence (c
rystal size, dating of other ice-cored moraines) is not consistent with thi
s possibility. Steady-state models suggest that sublimation is rare-control
led by vapor transport. A rime-dependent model coupling vapor concentration
,air pressure, temperature and ice concentration is formulated, and the res
ulting equations solved non-linearly. No transient coupling between vapor c
oncentration, air temperature and pressure that substantially slows down su
blimation was found in the numerical experiments. This means either that va
por transport is being slowed down by some unconsidered physical process or
that the ice is much younger than 8 Ma.