A two-dimensional capillary network model for gas migration through a
water-saturated medium is presented. The model is an extension of prev
iously developed capillary bundle models and provides a discrete alter
native to classical continuum Darcy models. The need for such an alter
native has become apparent from recent experimental results that sugge
st gas migrates through low-permeability water-saturated media via a s
mall number of preferential pathways. The capillary network model dire
ctly simulates this mode of gas migration, including the dynamics of g
as/water interface motion, and as a consequence exhibits time-dependen
t behavior, such as intermittency of output gas flux and hysteresis ef
fects, that has been observed in experiments but are not reproduced in
continuum Darcy models.