Abstract. In this paper we address the calibration of a classical dual porosity, dual permeability model which accounts for differences in matrix and fracture parameters. Fine scale benchmark solutions are obtained and we perform a comparison between dual porosity, dual permeability model solutions corresponding to a variety of possible parameter values. In the process, we describe an efficient method for solving the dual model pressure equations. We discuss applicable calibrations used for matching the dual porosity, dual permeability model results with those from the fine model and present a number of numerical examples to illustrate their performance.