Based on the assumption that some particles in porous media are unrestrictedly overlapped and hence of different configurations, this paper presents three three-dimensional geometry models for tortuosity of streamlines in porous media with spherical, cubic and plate-like particles, respectively. The proposed models are expressed as a function of porosity with no empirical constant, and they are helpful for understanding the physical mechanism for tortuosity of flow paths in three-dimensional porous media. The model predictions are compared with those from the available correlations obtained by experimental data, and good agreement is found between them.