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The paper considers common methodological primitives for phased construction of data visualization models, which will help to create new graphical models of data security visualization, or will help to show advantages and disadvantages of existing models. The paper also considers examples of graphical models and additional tools, which allow to work with these models. The purpose of the paper is to form a comprehensive vision to create data security visualization models. The primitives classification and communication between them are suggested. On the base of identified primitives, graphical models and additional tools to work with graphical models, a methodology for constructing data security visualization models is provided. This methodology can be used for improving efficiency of existing models and for evaluating their effectiveness. The paper also considers a new visualization model for network security which was developed based on the proposed visualization process.