Abstract: Starting from a barotropic model equations including large-scale orography, friction and heat factor, by means of scale analysis and small parameter method, then a barotropic quasi-geostrophic model with large-scale orography, friction and heating is obtained. It is shown that this equation is a basic one which is used to study the influence of the Tibetan Plateau on the large-scale flow in the atmosphere. If the dynamic effect, friction and heat effect of large-scale orography are disregarded, this model will degenerate to the general barotropic quasi-geostrophic one.

Key words: scale analysis, small parameter method, linearization, barotropic quasi-geostrophic model

摘要： 从包含大地形、摩擦及加热作用的正压模式方程组出发，通过尺度分析、小参数展开和线性化等方法，导出一个含大地形、摩擦及加热作用的准地转正压模式。该模式是我们今后研究青藏高原的基本出发方程。如果不考虑地形的动力作用、摩擦及加热作用，该模式就退化为通常的准地转正压模式。

关键词: 尺度分析, 小参数展开, 线性化, 准地转正压模式