Numerical method of moments for solute transport in a nonstationary flow field conditioned on hydraulic conductivity and head measurements

Wu, Jichun; Hu, Bill X.

doi:10.1007/s00477-006-0078-x

Cited by 5 publications

(3 citation statements)

References 31 publications

(43 reference statements)

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“…A histogram of the data has a log‐normal shape as is usually the case for such analyses (Bodin et al . 2003; Wu & Hu, 2007), with a clear mode around d = 13 years (= 156 months) [Fig. 7(a)].…”

Section: Resultsmentioning

confidence: 99%

Estimates of the mortality and the duration of the trans‐Atlantic migration of European eel Anguilla anguilla leptocephali using a particle tracking model

Bonhommeau

Pape

Gascuel

et al. 2009

Journal of Fish Biology

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Using Lagrangian simulations, based on circulation models over three different hydroclimatic periods in the last 45 years in the North Atlantic Ocean, the trans-Atlantic migration of the European eel Anguilla anguilla leptocephali was simulated via the passive drift of particles released in the spawning area. Three different behaviours were modelled: drifting at fixed depth, undergoing a vertical migration or choosing the fastest currents. Simulations included mortality hypotheses to estimate a realistic mean migration duration and relative survival of A. anguilla larvae. The mean migration duration was estimated as 21 months and the mortality rate as 3.8 per year, i.e. < 0.2% of A. anguilla larvae may typically survive the trans-Atlantic migration.

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Section: Resultsmentioning

confidence: 99%

Estimates of the mortality and the duration of the trans‐Atlantic migration of European eel Anguilla anguilla leptocephali using a particle tracking model

Bonhommeau

Pape

Gascuel

et al. 2009

Journal of Fish Biology

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“…Because the spatial variations in hydraulic parameters such as hydraulic conductivity, in turn, cause the spatial variation in the pore water velocity, the implication is that the first‐order approximation should be applicable for solute transport in mildly heterogeneous media (

σ_{f}^{2} < 1

; e.g., Gelhar, ; Rubin, ). In addition, the use of the first‐order approximation (Equation ) to evaluate the displacement covariance or travel time statistics has been validated by Monte Carlo simulations for the cases of nonstationary flow field (e.g., Butera & Tanda, , Wu & Hu, ) or radial flow field (e.g., Lu & Zhang, ; Stauffer, Attinger, Zimmermann, & Kinzelbach, ) in heterogeneous media. The results of Monte Carlo simulations in above‐mentioned references indicate that reasonable agreement with those obtained using the first‐order approximation theory for the case of the variance of log‐hydraulic conductivity <1.…”

Section: Discussionmentioning

confidence: 99%

Quantification of Lagrangian travel time statistics under nonstationary random groundwater flow conditions

Chang

Yeh

2018

Hydrological Processes

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This study presents a Lagrangian description of advection dominated field-scale transport of inert solutes, namely, the statistics of advective solute travel time and trajectory, in nonstationary random groundwater flow fields. The vertical flow field is generated by the effects of changes in total stress applied in fluid-saturated heterogeneous deformable porous media. The Lagrangian statistics are developed directly from the velocity statistics based on the application of stochastic methodology such as the representation theorem and Fourier-Stieltjes integral representation. The focus of our numerical evaluation is placed on the influence of the soil compressibility on the Lagrangian statistics. The prediction on the statistics of solute travel time and trajectory may serve as the basic input to the environmental risk assessment. KEYWORDS heterogeneous deformable porous media, nonstationary groundwater flow fields, soil compressibility, statistics of the solute travel time

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“…Most of the published works deals with the reduction of the uncertainty around the solute prediction (e.g. [15,23,31]). …”

Section: Introductionmentioning

confidence: 99%

Effective dispersion in conditioned transmissivity fields

Darvini

Salandin

2014

Advances in Water Resources

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Numerical method of moments for solute transport in a nonstationary flow field conditioned on hydraulic conductivity and head measurements

Cited by 5 publications

References 31 publications

Estimates of the mortality and the duration of the trans‐Atlantic migration of European eel Anguilla anguilla leptocephali using a particle tracking model

Estimates of the mortality and the duration of the trans‐Atlantic migration of European eel Anguilla anguilla leptocephali using a particle tracking model

Quantification of Lagrangian travel time statistics under nonstationary random groundwater flow conditions

Effective dispersion in conditioned transmissivity fields

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