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Two-dimensional ground-water flow modeling was used to predict the hydraulic performance of passive and actively controlled, straight or winged funnel-and-gate configurations over a range of hydrogeologic and ambient groundwater flow conditions.  The results of these analyses were used to construct generic correlation diagrams that relate expected upstream capture zone or gate through-put to barrier, gate, aquifer, and (for active systems) control well parameters.  These diagrams serve as convenient screening tools that may be used to (1) quantitatively estimate the capture zone of predetermined funnel-and-gate configurations, or (2) develop preliminary funnel-and-gate designs that will yield a desired capture zone, independent of aquifer characteristics.

The effects of variations in aquifer hydraulic conductivity, saturated thickness, and hydraulic gradient for all straight and winged funnel-and-gate configurations were considered during this study.  Sensitivity analyses revealed that the width of the upstream flow channel, or capture zone, intercepted by a given funnel-and-gate configuration and passing through the treatment zone is predominantly determined by the physical geometry and dimensions of the barrier walls and gate, and is effectively independent of both aquifer transmissivity and the magnitude of the ambient hydraulic gradient. 

The implications of these observations for effective treatment gate design are significant.  It must be emphasized that, because the width of the capture zone is fixed by funnel-and-gate geometry for a given angle of incident groundwater flow, the volumetric flow rate through the gate represented by this zone will vary with aquifer properties and the ambient hydraulic gradient in direct proportion to Darcy's law.  For example, if the saturated thickness or hydraulic gradient of a particular unconfined aquifer doubles, flow through the treatment zone would increase by a factor of two over base conditions.  If both saturated thickness and the ambient hydraulic gradient were doubled, flow through the treatment gate would increase four-fold.

In an attempt to characterize and quantify the effects of heterogeneity on funnel and gate system performance, a numerical modeling study of 15 simulated heterogeneous flow domains was conducted.  Each realization was tested to determine if the predicted capture width met the capture width expected for a homogeneous flow domain with the same bulk properties.  These numerical experiments revealed that the capture width of the funnel and gate system varied significantly with the level of heterogeneity of the aquifer. 

Two possible remedies were investigated for bringing systems with less than acceptable capture widths to acceptable levels of performance.    First, it was determined that enlarging the funnel and gate via a factor of safety applied to the design capture width could compensate for the capture width variation in the heterogeneous flow domains.  In addition, it was shown that the use of a pumping well downstream of the funnel and gate could compensate for the effects of aquifer heterogeneity on the funnel and gate capture width.  However, if a pumping well is placed downstream of the funnel and gate to control the hydraulic gradient through the gate, consideration should be given to the gate residence time in relation to the geochemistry of the contaminant removal or destruction process in the gate.

 

 

 


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