It is important to choose the appropriate type of local model to reduce the model error for a spatially distributed system (SDS) under large uncertainties. In this paper, a new local modeling approach is proposed to estimate the spatial dynamics of SDS based on input output data. The interval type-2 T-S fuzzy model is developed to the local dynamics in consideration of the mutual influence of neighbor regions. The parameters and the proper fuzzy rules of the local models are obtained by using interval type-2 fuzzy satisfactory clustering algorithm. Then the global models can be determined by constructing the local models by smooth interpolation. The accuracies of the modeling methodologies are tested in the shell and tube heat exchanger.