Determination of groundwater catchment areas in two and three spatial dimensions

Kinzelbach, Wolfgang; Marburger, Martin; Chiang, Wen-Hsing

doi:10.1016/0022-1694(92)90037-v

Cited by 72 publications

(26 citation statements)

References 2 publications

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“…The influence of recharge was investigated by Lerner [1992], who derived analytical equations for the isochrones in two different, recharged aquifer systems. Kinzelbach et al [1992] studied well catchments in a recharged aquifer in both two and three spatial dimensions. All publications mentioned thus far do not account for the uncertainty that stems from incomplete knowledge of the aquifer properties.…”

Section: -1297/98/98 Wr-0155250900mentioning

confidence: 99%

Stochastic determination of well capture zones

Leeuwen¹,

Stroet²,

Butler³

et al. 1998

Water Resources Research

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Abstract. A stochastic approach is adopted for characterizing the uncertainty in well capture zones in heterogeneous formations. Transmissivity is modeled as a random space function and a Monte Carlo approach is used to infer the probability distribution of the resulting stochastic capture zones. Through several numerical experiments, the influence of the statistical parameters of transmissivity variation on the extent of uncertainty in the location of the capture zone is investigated. Two aquifer models are considered: a fully confined aquifer and a leaky-confined aquifer receiving recharge from above. A connection is made with previous work on transport theory, and the statistical parameters of the capture zone probability distribution are compared with those of a solute concentration plume.

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Section: -1297/98/98 Wr-0155250900mentioning

confidence: 99%

Stochastic determination of well capture zones

Leeuwen¹,

Stroet²,

Butler³

et al. 1998

Water Resources Research

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“…Bear and Jacobs (1965) derived an analytical solution for time-related capture zones (isochrones) in unbounded homogeneous and isotropic con®ned domains where¯ow is driven by uniform base gradient and a steady-state pumping well. Deterministic numerical and analytical methods have also been proposed for different¯ow conditions in two-and three-dimensional homogeneous ®elds by Javandel and Tsang (1986), Lerner (1992), Kinzelbach et al (1992), Bakker and Strack (1996), Schafer (1996), andZlotnik (1997).…”

Section: Introductionmentioning

confidence: 98%

Time-related capture zones for radial flow in two dimensional randomly heterogeneous media

Riva¹,

Guadagnini²,

Ballio³

1999

Stochastic Environmental Research and Risk Assessment (SERRA)

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We consider the effect of randomly heterogeneous hydraulic conductivity on the spatial location of time-related capture zones (isochrones) for a non-reactive tracer in the steady-state radial¯ow ®eld due to a pumping well in a con®ned aquifer. A Monte Carlo (MC) procedure is used in conjunction with FFT-based spectral methods. The log hydraulic conductivity ®eld is assumed to be Gaussian and stationary, with isotropic exponential correlation. Various degrees of domain heterogeneity are considered and stability and accuracy of the MC procedure is examined. The location of an isochrone becomes uncertain due to heterogeneity, and it is strongly in¯uenced by hydraulic conductivity variance. The probability that a particle released at a point in the aquifer is pumped by the well within a given time is identi®ed. We propose a new expression for the probabilistic spatial distribution of isochrones, which is formally similar to the analytical solution for a uniform medium and takes into account the effects of heterogeneity.

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“…Most studies deal with either homogeneous media (e.g. Bear and Jacobs, 1965;Lerner, 1992;Kinzelbach et al, 1992;van Kooten, 1995;van Herwaarden, 1994) or with numerical modeling of two-dimensional transport in formations of random transmissivity (e.g. Bair et al 1991;Varljen and Shafer, 1991;Franzetti and Guadagnini, 1996;Cole and Silliman, 1997;Vassolo et al 1998;van Leewen, 1998;Gaudagnini and Franzetti 1999;Feyen et al 2001).…”

Section: Introductionmentioning

confidence: 99%

On macrodispersion in uniform ? radial divergent flow through weakly heterogeneous aquifers

Indelman

2004

Stochastic Environmental Research and Risk Assessment (SERRA)

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The transport of instantaneously injected conservative solute through a well in the formation of random conductivity is analyzed. The solute is advected by the recharging well flow with the uniform background gradient. The longitudinal trajectory variance is derived for the central mean streamline. It is shown that the solute is spread as in a radial flow at small travel distances and as in a uniform flow far from the well. Closed form expressions of the longitudinal trajectory variance and macrodispersivity are derived for the case of small scale heterogeneity. It is shown that the macrodispersivity is bounded between the asymptotic macrodispersivities pertinent to the well and uniform flows.

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Determination of groundwater catchment areas in two and three spatial dimensions

Cited by 72 publications

References 2 publications

Stochastic determination of well capture zones

Stochastic determination of well capture zones

Time-related capture zones for radial flow in two dimensional randomly heterogeneous media

On macrodispersion in uniform ? radial divergent flow through weakly heterogeneous aquifers

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