We show that dominant aspects of contaminant (particle) transport in r
andom fracture networks-non-Gaussian propagation-result from subtle fe
atures of the steady flow-field distribution through the network. This
is an outcome of a new theory, based on a continuous time random walk
formalism, structured to retain the key space-time correlations of co
ntaminants as they are advected across each fracture segment. Particle
tracking simulations on these networks exhibit the same non-Gaussian
profiles, demonstrating quantitative agreement with the theory.