Patent ID: 8909688
Filing Date: 2014-12-09
Classification: G06F

Abstract:
1. A method of seeking semianalytical solutions to multispecies transport equations coupled with sequential first-order network reactions under conditions in which a groundwater flow velocity and a dispersion coefficient vary spatially and temporally and boundary conditions vary temporally, by combining a similarity transformation method of Clement with a generalized integral-transform technique (GITT), in order to determine groundwater multispecies contaminant transport in applications to nuclear waste sites contaminated with radioactive materials and decayed daughter nuclides, and sites contaminated with chlorinated organic solvents and biodegradable byproducts thereof, the method being carried out by a computer comprising a processor programmed to carry out the steps of the method, which comprise: transforming, by the processor, first-order linearly coupled multispecies contaminant concentrations into independent concentrations depending on contamination species through forward linear transformation, using the following equation: wherein a transforming, by the processor, governing equations of independent transport equations depending on the contamination species transformed using the forward linear transformation, using the following equation: wherein a transforming, by the processor, initial conditions and boundary conditions for multiple contamination species into initial conditions and boundary conditions adapted for the independent transport equations depending on the contamination species, based on the forward linear transformation, using the following equations: wherein C determining, by the processor, analytical solutions depending on the contamination species transformed using the forward linear transformation under groundwater flow and dispersion coefficient varying with time and space, by means of GITT, using the following equation: wherein β transforming, by the processor, the analytical solutions independently obtained depending on the contamination species into analytical solutions of first-order linearly coupled multispecies transport equations through backward linear transformation, using the following equation, thereby determining analytical solutions for multispecies contaminant transport: wherein a utilizing the determined analytical solutions for multispecies contaminant transport to decontaminate the nuclear waste sites contaminated with radioactive materials and decayed daughter nuclides, and the sites contaminated with chlorinated organic solvents.