2012
DOI: 10.1111/j.1745-6584.2011.00905.x
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Improvements and Corrections to AT123D Code

Abstract: Although based on exact analytical solutions, semi-analytical solute transport models can have significant numerical error in applications with high frequency oscillatory source terms and when parameter value combinations cause series solution approximations to converge slowly. Methods for correcting these numerical errors are presented and implemented in the AT123D code, which employs Green's functions to represent point, linear, and rectangular prismatic source zones. In order to increase its computational a… Show more

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Cited by 8 publications
(4 citation statements)
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“…Additional multispecies analytical solutions may be developed using CTRW spatial and temporal Green's functions for various initial and boundary conditions in a similar manner as presented in Burnell et al (2017) for a single species. Spatial Green's functions can be convolved spatially against an initial solute distribution for various source geometries (e.g., Burnell et al 2012b) in order to determine the resident or flux concentration at any desired location. For arbitrary concentration history boundary conditions, temporal-pulse semi-infinite solutions can be used with the Laguerre expansion method (e.g., Hansen and Kueper 2009).…”
Section: Mim Mass Exchangementioning
confidence: 99%
“…Additional multispecies analytical solutions may be developed using CTRW spatial and temporal Green's functions for various initial and boundary conditions in a similar manner as presented in Burnell et al (2017) for a single species. Spatial Green's functions can be convolved spatially against an initial solute distribution for various source geometries (e.g., Burnell et al 2012b) in order to determine the resident or flux concentration at any desired location. For arbitrary concentration history boundary conditions, temporal-pulse semi-infinite solutions can be used with the Laguerre expansion method (e.g., Hansen and Kueper 2009).…”
Section: Mim Mass Exchangementioning
confidence: 99%
“…The modified AT123D code, AT123D‐AT [ Burnell et al . ] was used to evaluate the model subject to the appropriate initial and boundary conditions, as well as source function. Using parameter values given in Tables and while setting Df, α, λw, λs to zero, and using the values for q0 and tp given in Table (assuming the source function takes the form of slug mass loading as described by equation (5)), the model solution would be simplified to represent transport in a three‐dimensional aquifer with finite thickness and uniform groundwater velocity.…”
Section: Evaluation Of Model Solutionsmentioning
confidence: 99%
“…As expected, the semiinfinite first‐type parent solution concentration values are slightly higher. The infinite domain ADRE analytical solution for a continuous source was developed by integrating a one‐dimensional Green's function [e.g., Bear , ; Yeh , ; Burnell et al ., ] in order to examine particles that disperse and degrade upgradient of the source. The volume‐averaged concentration of this analytical solution (Table ) was transformed to flux‐averaged concentration using C1f=C1vDxvC1vx [ Kreft and Zuber , ], and is presented in Figure a.…”
Section: Application Of 1‐d Stochastic Monte Carlo Ctrw Models Of Tramentioning
confidence: 99%