This paper presents the theoretical background for the Model Based Underdetermined Source Separation presented in [5]. We show that for a given frequency band, in contrast to customary assumption, the observed Short-Time Fourier Transform (STFT) ratio coming from one source is not constant in time, but is a random variable whose distribution we have obtained. Using this distribution and the TimeFrequency (TF) “disjoint” assumption of sources, we are able to obtain promising results in separating four audio sources from two microphones in a real reverberant room.