The application of percolation theory to porous media is closely tied
to network models. A network model is a detailed model of a porous med
ium, generally incorporating pore-scale descriptions of the medium and
the physics of pore-scale events. Network models and percolation theo
ry are complementary: while network models have yielded insight into b
ehavior at the pore scale, percolation theory has shed light, at the l
arger scale, on the nature and effects of randomness in porous media.
This review discusses some basic aspects of percolation theory and its
applications, and explores work that explicitly links percolation the
ory to porous media using network models. We then examine assumptions
behind percolation theory and discuss how network models can be adapte
d to capture the physics of water, air and solute movement in soils. F
inally, we look at some current work relating percolation theory and n
etwork models to soils.