A method is disclosed for modeling a pore structure of a porous material. The method includes generating an initial model of the porous material. The initial model includes an interconnected network of passages including a first geometric shape and a second geometric shape. At least one petrophysical property is calculated from the initial model. At least one geometric parameter in at least one passage of the first geometric shape is adjusted. The at least one petrophysical property is recalculated, and the adjusting and recalculating are repeated until a difference between the calculated petrophysical property and a measured petrophysical property reaches a minimum. In some embodiments, the adjusting and recalculating are repeated until an indeterminacy condition is satisfied.