Travel Time to a Well Pumping an Unconfined Aquifer without Recharge

Chapuis, Robert P.; Chesnaux, Romain

doi:10.1111/j.1745-6584.2005.00141.x

Cited by 18 publications

(6 citation statements)

References 5 publications

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“…The solution is not explicit in terms of the travel time and is not simple to evaluate as it includes the calculation of the imaginary error function. Chapuis and Chesnaux (2006a, 2006b) presented an analytical solution for the same case in a different form, but it is essentially the same solution found by Simpson et al (2003). Chapuis (2011) presented an approximate solution of travel time to a well for the case of unconfined flow with recharge, but his solution (equation 20) is exactly the same in Chapuis and Chesnaux (2006a), which is an approximate equation for travel time in unconfined aquifer without recharge.…”

Section: Introductionmentioning

confidence: 68%

Approximate Solutions for Radial Travel Time and Capture Zone in Unconfined Aquifers

Zhou

Haitjema

2011

Groundwater

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Radial time-of-travel (TOT) capture zones have been evaluated for unconfined aquifers with and without recharge. The solutions of travel time for unconfined aquifers are rather complex and have been replaced with much simpler approximate solutions without significant loss of accuracy in most practical cases. The current "volumetric method" for calculating the radius of a TOT capture zone assumes no recharge and a constant aquifer thickness. It was found that for unconfined aquifers without recharge, the volumetric method leads to a smaller and less protective wellhead protection zone when ignoring drawdowns. However, if the saturated thickness near the well is used in the volumetric method a larger more protective TOT capture zone is obtained. The same is true when the volumetric method is used in the presence of recharge. However, for that case it leads to unreasonableness over the prediction of a TOT capture zone of 5 years or more.

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Section: Introductionmentioning

confidence: 68%

Approximate Solutions for Radial Travel Time and Capture Zone in Unconfined Aquifers

Zhou

Haitjema

2011

Groundwater

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“…In practice, capture zones are generally delineated with respect to a travel time that ranges from tens of days to tens of years. For idealized radial flow around a pumping well, simplified analytical solution [12] and semi-analytical solutions [13,14] of the travel time have been proposed. For complex conditions, a widely used approach is to perform a numerical modeling of groundwater flow and then determine capture zones with the particle tracking method [15,16].…”

Section: Introductionmentioning

confidence: 99%

A Preliminary Study on a Pumping Well Capturing Groundwater in an Unconfined Aquifer with Mountain-Front Recharge from Segmental Inflow

Wang

2019

Water

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Unconfined aquifers beneath piedmont pluvial fans are widely distributed in front of mountains and proper for water supply with pumping wells. However, the catchment zone and capture zones of a pumping well in such an unconfined aquifer is not well known. We develop a preliminary simplified model where groundwater flows between a segmental inflow boundary and a discharge boundary of constant head. The catchment zone is delineated from numerical simulation via MODFLOW and MODPATH. Results are expressed with dimensionless variables and lumped parameters to show general behaviors. Sensitive analyses indicate that there are 4 types of the catchment zone according to different connections to the boundaries. The shape of the catchment zone is quantitatively analyzed with typical shape factors. Capture zones with respect to special travel times are identified from travel time distribution in the catchment zone. The modeling results can be applied in the design of water supply wells and delineation of protection zones at a site with similar hydrogeological conditions.

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“…If available, analytical solutions are useful for calculations and to allow investigations of the effect of changing parameter values to improve the understanding of the process behavior. For several ground water geometries, such solutions have been published recently; see, for example, Chapuis and Chesnaux (2006) or Simpson et al (2003). In this paper, we develop an analytical solution for the flow, and ultimately the transit time, in leaky aquifers in a similar way as the one for unconfined aquifers recently developed by Chesnaux et al (2005).…”

Section: Introductionmentioning

confidence: 99%

Calculating Ground Water Transit Time of Horizontal Flow through Leaky Aquifers

Braunsfurth¹,

Schneider

2007

Groundwater

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The calculation of ground water transit times is one important factor in ground water protection. In this paper, we present an analytical solution for the transit time for a Dupuit-type flow system applicable to saturated flow through a horizontal leaky aquifer discharging to a downgradient fixed-head boundary under steady-state conditions. We investigate the influence of leakage when comparing the resulting travel times of our model based on head-dependent leakage with the commonly used model with no leakage and a simplified model with constant leakage. The results show significant differences in the position of the water divide and transit time, suggesting that leakage cannot be ignored.

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Travel Time to a Well Pumping an Unconfined Aquifer without Recharge

Cited by 18 publications

References 5 publications

Approximate Solutions for Radial Travel Time and Capture Zone in Unconfined Aquifers

Approximate Solutions for Radial Travel Time and Capture Zone in Unconfined Aquifers

A Preliminary Study on a Pumping Well Capturing Groundwater in an Unconfined Aquifer with Mountain-Front Recharge from Segmental Inflow

Calculating Ground Water Transit Time of Horizontal Flow through Leaky Aquifers

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