Satellite SAR provides ocean surface wind fields at 10 m above sea level. The objective is to investigate the capability of Synthetic Aperture Radar (SAR) satellite StriX observations for mapping offshore wind farm wakes. The focus is on the conditions under which an apparent wind speed surplus is generated, measured in 48% of the 67 images available. The results compare well to Sentinel-1 observations, showing a 34% surplus rate during several years based on 1171 images. Three wind speed surplus cases have been studied in detail using the mesoscale Weather, Research, and Forecasting model (WRF) model with two wind farm parametrizations. The SAR-based observations and WRF model compare for most cases, though only when Turbulent Kinetic Energy (TKE) is included in the wind farm parametrization. The TKE mixes higher momentum downwards in a stable atmosphere, causing surface wind speed surplus near the surface.