Analytic-Element Modeling of Supraregional Groundwater Flow: Concepts and Tools for Automated Model Configuration

Rabideau, Alan J.; Craig, James R.; Silavisesrith, Warit; Fredrick, K. C.; Flewelling, Douglas M.; Janković, I.; Becker, Matthew W.; Bandilla, Karl W.; Matott, L. Shawn

doi:10.1061/(asce)1084-0699(2007)12:1(83)

Cited by 9 publications

(5 citation statements)

References 40 publications

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“…Many transfer functions are placed in series to represent the varying velocity along the streamline. Residence time of each segment is calculated using a Runga‐Kutta particle tracking formulation, based upon a velocity field calculated using an analytic element solution of the flow equation [ Rabideau et al , 2007]. There is little computational cost in using multiple streamlines or transfer functions within streamlines because all calculations are performed in Laplace space.…”

Section: Methodsmentioning

confidence: 99%

Comparing flux‐averaged and resident concentration in a fractured bedrock using ground penetrating radar

Becker

Tsoflias

2010

Water Resources Research

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[1] Saline tracer transport experiments were performed to compare flux-averaged and resident concentration in a single subhorizontal fracture in sandstone bedrock. Tracer migration over a 14 m distance was monitored at an extraction well and imaged within the rock as it passed below a ground penetrating radar (GPR) positioned at the surface. Reflected radar amplitude was calibrated to tracer concentration by circulating saline fluid of known concentration through the fracture. Saline breakthrough curves measured at the well and within the rock were comparable but showed differences in both magnitude and shape. Transport differences were explored using flux-averaged and resident concentration first-passage-time models combined with streamline advective tracking. Application of the appropriate transport model to the two breakthrough curves produced identical estimates of dispersivity and similar estimates of effective fracture aperture. The tracer-derived fracture aperture also agreed reasonably well with hydraulic aperture derived from cross-hole pump tests. The availability of both flux and resident concentrations helped constrain the interpretation of the flow and transport behavior in the fracture. Flow appeared to be highly channelized with less than half the hydraulically swept area of the fracture contributing to efficient tracer transport.Citation: Becker, M. W., and G. P. Tsoflias (2010), Comparing flux-averaged and resident concentration in a fractured bedrock using ground penetrating radar, Water Resour. Res., 46, W09518,

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Section: Methodsmentioning

confidence: 99%

Comparing flux‐averaged and resident concentration in a fractured bedrock using ground penetrating radar

Becker

Tsoflias

2010

Water Resources Research

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“…The University at Buffalo Groundwater Group has created a geographic information system (GIS) based GUI for SPLIT called ArcAEM. ArcAEM utilizes ArcMap Ò , a widely used GIS software (Rabideau et al, 2007). ArcAEM is freely available from the University at Buffalo Groundwater Group website: http://groundwater.buffalo.…”

Section: Streamline Computationmentioning

confidence: 99%

“…These researchers used an alternative analytic element code GFLOW1 (Haitjema, 2003) to create a single-layer steady-state representation of the region surrounding the Lizzie Site. GFLOW1 and SPLIT produce nearly identical results when the precision of the SPLIT calculation (degrees of freedom in the analytic solver) is one (Rabideau et al, 2007). Kraemer et al (2003) calibrated a single transmissivity (74.5 m 2 /day) and variable recharge zones based upon trial and error fitting of piezometric data (0.231 mm/day in upland and 0.347 mm/day in alluvium).…”

Section: Lizzie Site Applicationmentioning

confidence: 99%

Flux-based contaminant transport in a GIS environment

Becker

Jiang

2007

Journal of Hydrology

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“…[27] It is not uncommon to include circular, elliptical, and curvilinear hydrologic features in AEM models [Strack, 1989;Janković and Barnes, 1999;Rabideau et al, 2006]. Curved elements introduce discontinuities at their borders that will not coincide with the edges of standard isoparametric three-node elements.…”

Section: Curved Elementsmentioning

confidence: 99%

Finite element transport modeling using analytic element flow solutions

Craig

Rabideau

2006

Water Resources Research

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[1] Finite element methods for solute transport simulation typically use a discrete representation of the flow domain obtained from a finite element solution of the associated groundwater flow problem. Velocity, saturated thickness, and components of the dispersion coefficient tensor are represented as a set of nodal and/or element-averaged values. In contrast, the analytic element method (AEM) provides continuous mesh-independent solutions for these variables. In this paper, a set of techniques for using two-dimensional AEM flow solutions as the basis of finite element solute transport models is introduced. First, a general AEM-based discretization approach is presented that addresses the existence of curved boundaries, singularities, and discontinuities in vertically averaged concentration. Second, residual integration methods that handle continuous parameters with internal and boundary singularities are developed and evaluated. Third, an approach is introduced for handling internal discontinuities in concentration across certain analytic elements. This new approach uses a nonstandard mesh topology and a new formulation for internal coupled boundary conditions. The AEM-based transport simulation methods introduced in this paper are demonstrated to be robust and accurate for a variety of test problems.

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Analytic-Element Modeling of Supraregional Groundwater Flow: Concepts and Tools for Automated Model Configuration

Cited by 9 publications

References 40 publications

Comparing flux‐averaged and resident concentration in a fractured bedrock using ground penetrating radar

Comparing flux‐averaged and resident concentration in a fractured bedrock using ground penetrating radar

Flux-based contaminant transport in a GIS environment

Finite element transport modeling using analytic element flow solutions

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