In the setting of steady wind-driven oceanic currents in a non-equatorial two-layer ocean with constant eddy viscosity in the lower layer and a general continuous eddy viscosity profile in the upper layer, we derive a formula for the change of the surface deflection angle due to a perturbation (in the upper layer) of a given eddy viscosity profile for which the solution to the problem is known. This extends and generalizes previous results for perturbations of a constant eddy viscosity. The perturbation analysis is performed using a recent reformulation of the linear second-order governing equations for Ekman-type flows as a nonlinear first-order Riccati-type equation.

在非赤道两层海洋中具有稳定的风动力洋流的情况下，下层的涡流粘度恒定，而上层的涡流粘度曲线通常是连续的，我们推导了表面挠度变化的公式由于给定涡流粘度分布的扰动（在上层）而产生的夹角，对此问题的解决方案是已知的。这扩展并归纳了恒定涡流粘度扰动的先前结果。使用最近对Ekman型流的线性二阶控制方程作为非线性一阶Riccati型方程的重新公式化来进行扰动分析。