The computing core of an information and computing software package based on a dedicated software framework for carrying out scientific research related to statistical processing and analysis of spatial geophysical data archives obtained both from observations and modelling is presented. In its development, accumulated experience in the development of information-computational web GISs for processing of large amounts of spatial data has been used. The basic components of the computing core are represented by modules for searching, selecting, and processing spatial data arrays and by a core manager governing the processing and data flows. Its modular structure provides a possibility to operatively expand the functionality of the software complex using various procedures for mathematical and statistical analysis, processing and graphical representation of the results in the form of graphs, diagrams, and fields on a map of the territory under consideration.