Media noise is the dominant noise that severely degrades the channel detector's performance for high-density optical recording. In this paper, we first propose a simple but general channel model for rewritable optical recording systems with media noise. We further develop various detection approaches to combat media noise. In particular, two novel modifications to the channel detector are proposed: i) monic constrained minimum mean square error (MMSE) based equalization with media noise considerations, and ii) a modified Viterbi detector (VD) accounting for data-dependent noise variance. The proposed modifications provide significant performance gain over the conventional detection approaches that are designed for additive, white and Gaussi...