中文摘要：

讨论了旋转层化二维海洋垂直切变基本流中海洋内部波动扰动连续谱临界层出现的情况和可分性问题。当存在垂直切变基本流时，横波型扰动表现为3类波动：一对重力惯性波和一支涡旋波，这3类波动均存在连续谱和临界层；当扰动波长大于该临界波长的1／2而小于临界波长时，则涡旋波的连续谱与重力惯性波的连续谱两波可发生重叠，但临界层不相重叠。在扰动尺度和地转参数小而基本流切变大的条件下，扰动波长小于临界波长的1／2时，这3类波动的连续谱会发生重叠，在重叠区会出现涡旋-重力惯性混合波，临界层可能发生重叠。

英文摘要：

The distribution of continuous spectrum critical-layer and the separability of continuous spectrum in the vertical shear basic flow of a rotational-stratification two-dimension ocean are studied. There are three kinds of waves in transverse disturbance when vertical shear basic flow exists. They are a pair of inertial-gravitational waves and a vortex wave, which all have continuous spectrum and critical-layer. The continuous spectra of vortex wave and inertial-gravitational waves can overlap while the disturbance wave length is between a half of the critical wave length and the critical wave length. However, the critical-layers of continuous spectra of all kinds of waves do not overlap each other. When the disturbance length and geostrophic parameter are smaller and the vertical shear basic flow is stronger, the continuous spectra of the three kinds of waves can overlap while the disturbance wave length is smaller than a half of the critical wave length. The mixed waves will appear and the critical-layer may overlap in the area where a vortex wave and two kinds of inertial-gravitational waves overlap.