Investigation of Physical Processes in Development of Hydrostatic Imbalance

The hydrostatic equilibrium addresses the approximate balance between the positive force of the vertical pressure gradient and the negative gravity force and has been widely assumed for atmospheric applications. The hydrostatic imbalance of the mean atmospheric state for the acceleration of vertical motions  in the vertical momentum balance is investigated using tower, the Global Positioning System radiosonde, and Doppler Lidar and Radar observations throughout the diurnally varying atmospheric boundary layer (ABL) under clear sky conditions. The imbalance is found to be mainly due to the vertical turbulent transport of changing air density as a result of thermal expansion/contraction in response to air temperature changes following surface temperature changes. In contrast, any pressure change associated with air temperature changes is small, and the positive vertical-pressure-gradient force is strongly influenced by its background value. The imbalance is found to be mainly responsible for the vertical advection of vertical turbulent motions, which is the vertical variation of the turbulent velocity variance. The vertical variation of the turbulent velocity variance from its vertical increase in the lower convective boundary layer (CBL) to its vertical decrease in the upper CBL is observed to be associated with the sign change of the imbalance from positive to negative due to the vertical decrease of the positive vertical-pressure-gradient force and the relative increase of the negative gravity force as a result of the decreasing upward transport of the low-density air. The imbalance is reduced significantly at night but does not steadily approaches to zero. Understanding the development of hydrostatic imbalance has important implications for understanding large-scale atmosphere especially for cloud development.