This work deals with fractured rock as a host for deposits of hazardous waste. A literature review of modelling approaches and methods for field investigations concerning flow and migration in fractured rock is given. The literature study on field observations shows that the water flow in fractured rock is unevenly distributed, which contradicts the porous medium approach. Some idealized examples are given to investigate where to find low hydraulic gradients. The ability of a laminar pipe-flow model to reproduce the hydrodynamic transport of contaminated groundwater in fractured rock is investigated. It is assumed that the cross-section areas in an ensemble of tubes have a gamma distribution. The model is applied to field tracer experiments at two sites. An attempt is made to model a fracture with irregular aperture as a two-dimensional stochastic process with known correlation structure. It is assumed that the fracture aperture is lognormally distributed, and that the flow is laminar. A particle following algorithm is applied. A comparison with the porous medium approach, and with the laminar pipe flow model is made. 135 refs, 41 figs, 4 tabs.