TDRW

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Two numerical particle transport tests were performed to verify the implementation of the TDRW method into UDEC, that is, particle transports in a single fracture and in a simple facture network.
The analytical solution is to be used later to verify the numerical results obtained with combination of DEM and TDRW. For simplicity, the analytical solution for advection-dispersion transport equation with constant concentration injection is adopted, which can be written as follows:
The corresponding numerical solution was obtained using the TDRW method implemented into UDEC, which is compared in Figure 5 with the analytical solution.
In general, the results from UDEC with the TDRW method implemented agreed well with the analytical solution.
From the comparisons shown in Figures 5 and 7, it is concluded that the numerical solution obtained using the TDRW method implemented into UDEC was close to the analytical solution.
Aiming at solving these problems, the time-domain random-walk (TDRW) method was firstly implemented into the discrete element method (DEM) in this study.
(1) The implementation of the TDRW method into UDEC could well simulate the nuclide transport with underground water in fractured rock masses.
Bodin, "From analytical solutions of solute transport equations to multidimensional time-domain random walk (TDRW) algorithms," Water Resources Research, vol.