Risk Methodology for Geologic Disposal of Radioactive Waste: The Distributed Velocity Method of Solving the Convective-Dispersion Equation

摘要

A new method is proposed for treating convective-dispersive transport. The motivation for developing this technique arises from the demands of performing a risk assessment for a nuclear waste repository. These demands include computational efficiency over a relatively large range of Peclet numbers and the ability to handle chains of decaying radionuclides with rather extreme contrasts in both solution velocities and half lives. To the extent it has been tested to date, the Distributed Velocity Method (DVM) appears to satisfy these demands. Included in this paper are the mathematical theory, numerical implementation, and error analysis employing statistical sampling and regression analysis techniques, and comparisons of DVM with other methods for convective-dispersive transport.