FEMFLOW3D; a finite-element program for the simulation of three-dimensional aquifers; version 1.0

Durbin, Timothy J.; Bond, Linda D.

doi:10.3133/ofr97810

Cited by 7 publications

(11 citation statements)

References 11 publications

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“…This conclusion was tested by simulating a three‐dimensional (3D) water table ground water system with phreatophyte discharges. The finite‐element modeling code FEMFLOW3D (Durbin and Bond 1998) was used. However, the code was modified to use Equation 26 as the phreatophyte relation.…”

Section: Flux Function For Phreatophyte Dischargementioning

confidence: 99%

Application of Superposition with Nonlinear Head‐Dependent Fluxes

Durbin¹,

Delemos²,

Rajagopal-Durbin³

2008

Groundwater

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While superposition is commonly used to address linear ground water problems, it can also be used to address certain nonlinear problems. In particular, it can be used to address problems with nonlinear head-dependent fluxes, where the problem can be separated conveniently into steady-state and transient-state components. Superposition can be used to simulate the transient-state head changes independently from the steady-state heads. The problems addressable by superposition include phreatophyte discharges, stream-aquifer interactions, spring discharges, and drain discharges. Each of these represents a nonlinear head-dependent flux, where the flux depends on the elevation of the land surface or some other feature. Superposition is applied by referencing elevations to the local steady-state water table and by imposing the negative of the steady-state flux on the transient-state problem.

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Section: Flux Function For Phreatophyte Dischargementioning

confidence: 99%

Application of Superposition with Nonlinear Head‐Dependent Fluxes

Durbin¹,

Delemos²,

Rajagopal-Durbin³

2008

Groundwater

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“…The ground water models were constructed using the program FEMFLOW3D, Version 2.0 (Southern Nevada Water Authority 2006), which is a finite-element program for the solution of 3D ground water flow problems. While FEMFLOW3D, Version 1.0 (Durbin and Bond 1998) uses simple Picard iterations for addressing the nonlinear head-dependent fluxes associated with drainage nodes, ground water use by phreatophytes, and stream-aquifer interactions, FEMFLOW3D, Version 2.0 (Southern Nevada Water Authority 2006) has been updated to implement Picard iterations with adaptive underrelaxation. Additionally, the Huyakorn method (Huyakorn et al 1986) was implemented in a special version of FEMFLOW3D for comparing the proposed approach with the Huyakorn approach.…”

Section: Comparison With Other Picard Schemesmentioning

confidence: 99%

“…FEMFLOW3D (Durbin and Bond 1998) is a program for the simulation of three‐dimensional (3D) ground water systems using the finite‐element method. Nonlinearities occur due to the deformation of the finite‐element mesh to track the water table position (Durbin and Berenbrock 1985).…”

Section: Introductionmentioning

confidence: 99%

“…Cooley (1983), Huyakorn et al (1986), and Mehl (2006) indicate that the effectiveness can be improved further by adapting the underrelaxation to the iterative progress. This note describes the implementation of adaptive underrelaxation within the ground water modeling program FEMFLOW3D (Durbin and Berenbrock 1985;Durbin and Bond 1998;Southern Nevada Water Authority 2006).…”

Section: Introductionmentioning

confidence: 99%

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Adaptive Underrelaxation of Picard Iterations in Ground Water Models

Durbin¹,

Delemos²

2007

Groundwater

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This methods note examines the use of adaptive underrelaxation of Picard iterations to accelerate the solution convergence for nonlinear ground water flow problems. Ground water problems are nonlinear when drains, phreatophytes, stream aquifer, and similar features are simulated. Typically, simple Picard iterations are used to address such nonlinear problems. Nevertheless, the convergence rate can be slow, or convergence cannot be obtained. However, convergence often can be accelerated using Picard iterations with adaptive underrelaxation, and convergence often can be obtained where it otherwise would not occur.

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“…Whether adaptive management strategies can be developed to minimize, this decoupling will be based on the rate of pumping, the location of pumping and the physiological limitations of greasewood (Or and Groeneveld, 1994;Steinwand et al, 2006). Modelling (such as the work of Durbin and Bond, 1998;Halford and Plume, 2011) will be needed to ascertain the impact on groundwater levels based on farming operations versus the impact of proposed pumping for export out of the Basin.…”

Section: Introductionmentioning

confidence: 99%

Changes in groundwater oscillations, soil water content and evapotranspiration as the water table declined in an area with deep rooted phreatophytes

Devitt

Bird

2015

Ecohydrology

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Groundwater in remote valleys of the Great Basin (NV, USA) has been approved by the State Engineer for pumping and export. Deep rooted shrubs such as greasewood (Sarcobatus vermiculatus) are partially dependent on this groundwater to meet plant water needs. To assess the impact of a falling water table on greasewood, we monitored evapotranspiration, reference evapotranspiration and precipitation, along with daily groundwater levels for 6·2 years. Groundwater levels declined 130 cm in a highly linear fashion (p < 0·001) over this period. Groundwater oscillations ceased in 2007 followed by a 2225-day quiescent period but then returned to daily oscillations late in 2013 for a 32-day period. The oscillation signature in 2013 coincided with the water level transitioning from sediment with 89% sand to a new horizon with only 8% sand. In 2013, we detected a soil water content depression at both 800 and 900 cm starting in early May that lasted 137 days, ending prior to the groundwater oscillation period when significant rainfall occurred in late August and early September. Soil water storage increase in the surface zone during the active growing period of 2013 was highly correlated (R 2 = 0·77, p < 0·001) to changes in the lower unsaturated zone, suggesting a link between soil water storage zones based on precipitation and plant water extraction. Although the water table declined below 10·7 m and groundwater decoupling did not occur, the current rate of decline driven solely by groundwater pumping for the irrigation of alfalfa fields would suggest extensive pumping for diversion outside of the basin would not be sustainable with regard to maintaining healthy greasewood plants that have a finite rooting depth.

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FEMFLOW3D; a finite-element program for the simulation of three-dimensional aquifers; version 1.0

Cited by 7 publications

References 11 publications

Application of Superposition with Nonlinear Head‐Dependent Fluxes

Application of Superposition with Nonlinear Head‐Dependent Fluxes

Adaptive Underrelaxation of Picard Iterations in Ground Water Models

Changes in groundwater oscillations, soil water content and evapotranspiration as the water table declined in an area with deep rooted phreatophytes

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