An example of solute spreading in nonstationary, bounded geological formations

Darvini, Giovanna

doi:10.1007/s00477-013-0749-3

Cited by 8 publications

(4 citation statements)

References 18 publications

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“…For instance, in trending media ignoring the influence of the boundary conditions may give erroneous conclusions on estimation of the transport process. The results of flow and solute transport in finite domains may be not consistent with those obtained for an unbounded domain and differences vary also with the different imposed constraints [ 28 ].…”

Section: Methodsmentioning

confidence: 99%

Investigating and Managing the Impact of Using Untreated Wastewater for Irrigation on the Groundwater Quality in Arid and Semi-Arid Regions

Abd-Elhamid

Abd-Elmoneem²,

Abdel-Aal

et al. 2021

IJERPH

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This study aims to investigate the impact of using untreated wastewater in irrigation. Different scenarios of management were applied by mixing it with treated wastewater or freshwater on groundwater quality. A hypothetical case study is presented. The numerical model of MODFLOW is used in the simulation by applying four stages (21 scenarios) including: different values of pumping rates, changing wastewater recharge rates, and a combination of the previous scenarios. Additionally, protection scenario for groundwater was applied by using different values of mixing of freshwater with wastewater. The simulation was carried out for the contamination of Chemical Oxygen Demand COD and the concentration reached 48.6 ppm at a depth of 25 m and 19.41 ppm at a depth of 50 m in the base case. The results showed a negative impact on groundwater quality had occurred due to increasing the pumping rates, wastewater recharge rates, and combination between two scenarios, which led to an increase of the contaminants in the aquifers. However, positive protection effects occurred due to mixing the wastewater with treated wastewater. The results of COD concentration in groundwater using treated wastewater reached 81.82, 77.88, 74.03, 70.12, and 66.15 ppm at a depth of 25 m and 53.53, 50.95, 48.43, 45.87, and 43.28 ppm at a depth of 50 m, at concentrations of 93, 88.52, 84.14, 79.7, and 75.19 ppm with constant pumping and recharge rates of 4320 m3/d and 547.5 mm/year, respectively. The using of treated wastewater could improve the groundwater quality to be used in the irrigation process and help to minimize groundwater contamination. Moreover, the abstraction of the groundwater should be optimized, and the qualities of wastewater should be constrained in agriculture to protect the groundwater quality.

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Section: Methodsmentioning

confidence: 99%

Investigating and Managing the Impact of Using Untreated Wastewater for Irrigation on the Groundwater Quality in Arid and Semi-Arid Regions

Abd-Elhamid

Abd-Elmoneem²,

Abdel-Aal

et al. 2021

IJERPH

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“…The last two terms do not exist for stationary Lagrangian flow fields [7] and for any constant expected value of the velocity field [9,11]. In such cases, the particle displacement variance X ij becomes spatially constant, Eq.…”

Section: Solute Transport In Nonstationary Velocity Fieldmentioning

confidence: 96%

“…Then, the transport moments of a conservative solute plume are computed from the velocity statistics by a Lagrangian approach limited to the first-order. This approach was recently used to analyze the case of the medium nonstationarity induced by a trend in the mean log-conductivity in bounded domains [9].…”

Section: Introductionmentioning

confidence: 99%

Effective dispersion in conditioned transmissivity fields

Darvini

Salandin

2014

Advances in Water Resources

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“…Solute transport in aquifers is controlled by the spatial variability of flow velocity (e.g., Rubin et al 1994;Fiori et al 2003;Darvini 2013). Stochastic environmental risk assessment considers the effects of variability (uncertainty) in flow fields on contaminated groundwater (e.g., Maxwell and Kastenberg 1999;Guadagnini and Tartakovsky 2010;Pedretti et al 2019;Muniruzzaman and Pedretti, 2021).…”

Section: Variability Of the Integrated Specific Dischargementioning

confidence: 99%

Stochastic analysis of spatial variability in two-dimensional steady-state confined groundwater flow

Chang

Lin

et al. 2022

Preprint

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Studies of fluid flow behavior in confined aquifers of variable thickness presented in the literature assume that the thickness of the aquifer varies linearly or nonlinearly. However, natural variations, such as the thickness of the aquifer caused by complex natural events, cannot be accurately predicted. Therefore, quantifying the variability of the flow field in heterogeneous, non-uniform, confined aquifers may be done from a stochastic perspective. In this study, the spatial variations in hydraulic conductivity are considered as a stationary random process, while the spatial variations in aquifer thickness are treated as a nonstationary random process with homogeneous (stationary) increments. General expressions for the spatial covariance functions and the evolutionary power spectra of the depth-averaged hydraulic head and integrated specific discharge in the direction of x1 are derived using the Fourier-Stieltjes spectral representation approach and representation theorem. Closed-form solutions for the evolutionary power spectra of depth-averaged hydraulic head and integrated specific discharge are used to analyze the effect of variation in the thickness of the confined aquifer on the variability of depth-averaged head and integrated discharge. An application of the theory developed here to the case of random aquifer thickness fields exhibiting a power-law semivariogram is given. The stochastic theory developed here to quantify the variability of flow fields (uncertainty) in complex geologic formations under uncertainty should provide valuable information for stochastic environmental risk assessment.

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An example of solute spreading in nonstationary, bounded geological formations

Cited by 8 publications

References 18 publications

Investigating and Managing the Impact of Using Untreated Wastewater for Irrigation on the Groundwater Quality in Arid and Semi-Arid Regions

Investigating and Managing the Impact of Using Untreated Wastewater for Irrigation on the Groundwater Quality in Arid and Semi-Arid Regions

Effective dispersion in conditioned transmissivity fields

Stochastic analysis of spatial variability in two-dimensional steady-state confined groundwater flow

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