Evaluation of analytical solute discharge moments using numerical modeling in absolute and relative dispersion frameworks
2002 (English)In: Water resources research, ISSN 0043-1397, E-ISSN 1944-7973, Vol. 38, no 2Article in journal (Refereed) Published
Two-dimensional numerical simulations are used to validate the analytical solutions for the solute discharge moments. In addition to the analysis of classical absolute dispersion we also consider relative dispersion whereby plume meandering (deviation from mean flow path caused by velocity variations at scales larger than plume size) is removed. The numerical simulations are used within a Monte Carlo framework to assess the accuracy and robustness of the analytical predictions of the solute discharge moments (mean and variance). Results show that the analytical predictions deviate from the numerical simulations as the log conductivity variance increases. Deviation occurs for the mean as well as the variance of the solute discharge. The absolute dispersion formulation, however, shows better agreement with the numerical simulations than does the relative dispersion for strong heterogeneity and vice versa for small variability. The relative dispersion results, however, depend on the prediction of the ensemble mean of the plume arrival time, which differs between simulations and analytical solution. Using the first-order analytical estimate for this parameter leads to a much better agreement between the numerical and the analytical results for solute discharge moments in the relative dispersion case.
Place, publisher, year, edition, pages
2002. Vol. 38, no 2
solute discharge, solute flux, numerical methods, analytical moments, heterogeneous porous-media, stochastic-analytical framework, waste repositories, safety assessment, flux approach, transport, aquifers, statistics, groundwater, arrival
IdentifiersURN: urn:nbn:se:kth:diva-21601DOI: 10.1029/2001wr000267ISI: 000176039800001OAI: oai:DiVA.org:kth-21601DiVA: diva2:340299
QC 201005252010-08-102010-08-10Bibliographically approved