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One dimensional analytical porosity-weighted solutions of the dual-porositymodel are derived, providing insights on how to relate exchange and storagecoefficients to the volumetric density of the high-permeability medium. It isshown that porosity-weighted storage and exchange coefficients are needed whenhandling highly heterogeneous systems - such as karstic aquifers - usingequivalent dual-porosity models. The sensitivity of these coefficients isillustrated by means of numerical experiments with theoretical karst systems.The presented 1-D dual-porosity analytical model is used to reproduce thehydraulic responses of reference 3-D karst aquifers, modelled by a discretesingle-continuum approach. Under various stress conditions, simulation resultsshow the relations between the dual-porosity model coefficients and thestructural features of the discrete single-continuum model. The calibration ofthe equivalent 1-D analytical dual-porosity model on reference hydraulicresponses confirms the dependence of the exchange coefficient with the karsticnetwork density. The use of the analytical model could also point out somefundamental structural properties of the karstic network that rule the shape ofthe hydraulic responses, such as density and connectivity.

Analytical 1-D dual-porosity equivalent solutions to 3-D discrete single-continuum models. Application to karstic spring hydrograph modelling