The vertical wave displacement, generated by a Martian crater, propagating upward from a lower atmospheric layer into an upper layer is investigated in this paper. An examination is made of the leakage of this displacement into the upper Martian atmosphere (?20 km) for conditions where the atmospheric interface between the two layers is the level at which a discontinuity occurs, either in the stability profile or in the velocity profile. A comparison is made with the atmospheric conditions which exist when the stability and velocity profiles are continuous at all levels. Observed lee wave phenomena are compared with those predicted by this model. It is found that airflow in the upper layer depends critically on the atmospheric stability in the lower layer, the 'ship-wake' pattern predominates for a decrease in stability with height.