High Velocity Rain: The Terminal Velocity of Model of Galactic Infall
  A model is proposed for determining the distances to falling interstellar clouds in the galactic halo by measuring the cloud velocity and column density and assuming a model for the vertical density distribution of the Galactic interstellar medium. It is shown that falling clouds with $N(H I) < \sim 10^{19} cm^{-2}$ may be decelerated to a terminal velocity which increases with increasing height above the Galactic plane. This terminal velocity model correctly predicts the distance to high velocity cloud Complex M and several other interstellar structures of previously determined distance. It is demonstrated how interstellar absorption spectra alone may be used to predict the distances of the clouds producing the absorption. If the distances to the clouds are already known, we demonstrate how the model may be used to determine the vertical density structure of the ISM. The derived density distribution is consistent with the expected density distribution of the warm ionized medium, characterized by Reynolds. There is also evidence that for $z >\sim 0.4 kpc$ one or more of the following occurs: (1) the neutral fraction of the cloud decreases to $\sim 31 \pm 14%$, (2) the density drops off faster than characterized by Reynolds, or (3) there is a systematic decrease in drag coefficient with increasing z. 
Robert A. Benjamin, Laura Danly