This paper analyzes the diurnal evolution of temperature inside and in the
vicinity of a small scale trench in the martian soil. Although the work pre
sented was motivated by the artificial trench to be dug during the Mars Pol
ar Lander (MPL) mission, the results are also applicable to natural structu
res, The models are calculated for conditions of region close to the south
pole, matching those of the landing site for the MPL. Two trench geometries
are considered. One has a rectangular cross section which could be achieve
d under the ideal condition of no material falling back during digging and
the other has a trapezoidal cross section with the side walls inclined at 4
5 degrees. Both trenches have flat bottoms and are assumed to be long enoug
h to allow a 2D treatment of the heat conduction in the soil. In the case o
f a rectangular trench it is found that the water frost accumulation is exp
ected on a significant part of the inner surfaces of the trench irrespectiv
e of the season. Some condensation of carbon dioxide could also proceed if
the thermal diffusivity of the soil is close to the lowest available estima
tes. Frost formation in a trench with inclined walls is also possible depen
ding on the assumed value of thermal diffusivity. The amount of frost shoul
d be large enough to allow the imaging of its accumulation with the Robotic
Arm Cam era of the Mars Volatile and Climate Surveyor experiment payload o
n the MPL. (C) 2000 Academic Press.