Two-Member Decay Chain in Fracture-Matrix System

We will use the analytical solution to verify the numerical solution given first by Sudicky and Frind (1984) and later corrected by Cormenza (2000). This example illustrates the migration of two-member decay chain in fracture-matrix system. Both member, parent and daughter, of the decay chain have the same properties except that the half-lives are different. Since the evaluation of the analytical solution given by Sudicky and Frind (1984) was incorrect, we can confirm the correct solution given by Cormenzana (2000). 

The physical system consists of a single fracture located in a saturated porous rock (Fig. 6.7). The properties of the fracture and the porous matrix and the radionuclide properties are listed in Tables 6.7 and 6.8. 

Note that no sorption reactions have been assumed, so all retardation factors are equal to imity. A contaminant source containing radionuclides is released instantaneously at the origin of the fracture at time t = 0 (a first-type Dirac delta inlet condition). To get a more detailed description of the physical system see Sudicky and Frind (1984) or Cormenzana (2000). 

6 Two-Member Decay Chain in Fracture-Matrix System 

Example 6 Extented Cormenzana (2000) (Equilibrium/Nonequilibrium model) 

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New Geochemical Simulator Roclrflow-RTM Development and Benchmarking 6.5.5 Two-Member Decay Chain in Fracture-Matrix System... 

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