This talk is about modelling the X-ray emission from black hole accretion discs. In particular, we discuss the standard model for these discs, and how this model needs to be modified in order to explain the observational data, in particular from super-Eddington discs and X-ray binaries. The standard model is a simple black body, but in general the data requires more complexity: both optically thin and optically thick coronae need to be added to the model.