Analytical solution and its application of modeling nuclide transport model in single fractured media

Abstract:

To know the law of nuclide transport in fractured media,the basic differential equations of nuclide transport in fracture and matrix were obtained,which were coupled at the interface between the fracture and matrix,and the general analytic solutions of nuclide transport in single fractured media with exponential attenuation source in fracture were deduced by Laplace transform.Moreover,the transport of Th-229,Cs-135 and Se-79 were simulated with the analytic solutions,and the relative concentration of these nuclide in fracture and matrix were predicted.These simulation results show that the analytic solutions can be used to solve the problems of nuclide transport,groundwater contamination in fractured media,etc.