Model-based approaches to handle additive and convolutional noise have been extensively investigated and used. However, the application of these approaches to handling reverberant noise has received less attention. This paper examines the extension of two standard adaptation/compensation approaches to handling reverberant noise. The first is an extension of vector Taylor series (VTS) compensation, reverberant VTS, where a mismatch function representing reverberant noise is used. The second scheme modifies constrained MLLR to allow a wide-span of frames to be taken into account and "projected" into the required dimensionality. To allow additive noise to be handled, both these schemes are combined with standard VTS. The approaches are evaluated and compared on two tasks, MC-WSJ-AV, and a reverberant simulated version of AURORA-4.