Abstract
A mathematical model is presented for mass transport in fracture networks. The model is based on particle tracking method and is capable of simulating interactions between rock matrix and fractures. An analytical solution of advective transport equation considering matrix diffusion is used as a probability density function to determine the travel time of particles in each fracture element. By applying the model to some test problems and comparing results with an analytical solution and a solution by finite element method, the proposed model is found to have enough accuracy and reliability. In order to examine the effect of matrix diffusion on mass transport, fracture networks are generated stochastically. The result shows that matrix diffusion has less retardation effect as the distribution of fracture apertures becomes wider.
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