Inverse Application of Age-Distribution Modeling Using Environmental Tracers H3∕He3

Ivey, Stephanie; Gentry, Randall W.; Larsen, Daniel; Anderson, Jerry L.

doi:10.1061/(asce)1084-0699(2008)13:11(1002)

Cited by 18 publications

(9 citation statements)

References 14 publications

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“…Chen et al, 2011;Ivey et al, 2008). The downstream shift is a function of the horizontal Steady-state analytical RTDs Page 37 of 77 velocity from the adjacent unconfined aquifer (Figure 8b).…”

Section: Lagged Systemsmentioning

confidence: 99%

Residence time distributions for hydrologic systems: Mechanistic foundations and steady-state analytical solutions

Leray

Engdahl

Massoudieh

et al. 2016

Journal of Hydrology

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This is a PDF file of an unedited manuscript that has been accepted for publication. As a service to our customers we are providing this early version of the manuscript. The manuscript will undergo copyediting, typesetting, and review of the resulting proof before it is published in its final form. Please note that during the production process errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain.Steady-state analytical RTDs contaminant transport, and ecosystem preservation. Analytical solutions are often adopted as a model of the RTD and a broad spectrum of models from many disciplines has been applied. Although these solutions are typically reduced in dimensionality and limited in complexity, their ease of use makes them preferred tools, specifically for the interpretation of tracer data. Our review begins with the mechanistic basis for the governing equations, highlighting the physics for generating a RTD, and a catalog of analytical solutions follows. This catalog explains the geometry, boundary conditions and physical aspects of the hydrologic systems, as well as the sampling conditions, that altogether give rise to specific RTDs. The similarities between models are noted, as are the appropriate conditions for their applicability. The presentation of simple solutions is followed by a presentation of more complicated analytical models for RTDs, including serial and parallel combinations, lagged systems, and non-Fickian models. The conditions for the appropriate use of analytical solutions are discussed, and we close with some thoughts on potential applications, alternative approaches, and future directions for modeling hydrologic residence time.

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Section: Lagged Systemsmentioning

confidence: 99%

Residence time distributions for hydrologic systems: Mechanistic foundations and steady-state analytical solutions

Leray

Engdahl

Massoudieh

et al. 2016

Journal of Hydrology

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show abstract

“…We restrict ourselves to general models developed from basic balance equations and do not include site-specific models developed in ad hoc fashion. Early conceptual models of groundwater age arise in part from residence time considerations in chemical engineering (e.g., Danckwerts 1953;Spaulding 1958;Randolph 1964) and appear in hydrogeology in Maloszewski and Zuber (1982) with focus on lumped parameter models (e.g., assumed age distributions with fittable parameters, Maloszewski and Zuber 2002;Cook and Böhlke 2000;Ivey et al 2008). Subsequent technical works on groundwater age are numerous and beyond the present scope but for a couple highlights.…”

Section: Background and Governing Equation For Groundwater Agementioning

confidence: 99%

Notes on Groundwater Age in Forward and Inverse Modeling

et al. 2009

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Several example applications of the groundwater age equation are used to derive some basic results about age in aquifers and to draw linkages among published results involving temporal moments and aquifer-aquitard diffusive mass transfer. We then describe a brief numerical study of an inverse problem in which hydraulic conductivities are identified using both piezometric head and groundwater age data where inclusion of age data helps to reduce evidential nonuniqueness. This reflects the global representation of flow process contained in age data, and that the value of age data in inverse identification of flow properties depends on the paths taken by the sampled groundwater.

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“…Besides addressing the research questions presented above, the purpose of this paper is to present the data set to the scientific community to solicit further research. Future research opportunities include calibration of numerical groundwater models (Castro et al, 1998;Ivey et al, 2008;Murphy et al, 2010;Sanford, 2010;Sheets et al, 1998), paleoclimate reconstruction (Stute et al, 1992;Aeschbach-Hertig et al, 2000b;Hall et al, 2005;Castro et al, 2007;Klump et al, 2008;Stute et al, 1995b;Corcho Alvarado et al, 2009), water quality vulnerability in relation to groundwater age (Wright et al, 2004;Johnston et al, 1998;Tesoriero et al, 2007;Visser et al, 2007), and identification of regions where mantle fluids are transported into shallow aquifers (Boles et al, 2015;Kulongoski et al, 2013;Castro, 2004;Kulongoski et al, 2003;Jenden et al, 1988;Poreda et al, 1986). The geostatistical analysis presented here is a first step in disseminating and visualizing the data set.…”

Section: Introductionmentioning

confidence: 99%

Geostatistical analysis of tritium, groundwater age and other noble gas derived parameters in California

et al. 2016

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Key characteristics of California groundwater systems related to aquifer vulnerability, sustainability, recharge locations and mechanisms, and anthropogenic impact on recharge are revealed in a spatial geostatistical analysis of a unique data set of tritium, noble gases and other isotopic analyses unprecedented in size at nearly 4000 samples. The correlation length of key groundwater residence time parameters varies between tens of kilometers ((3)H; age) to the order of a hundred kilometers ((4)Heter; (14)C; (3)Hetrit). The correlation length of parameters related to climate, topography and atmospheric processes is on the order of several hundred kilometers (recharge temperature; δ(18)O). Young groundwater ages that highlight regional recharge areas are located in the eastern San Joaquin Valley, in the southern Santa Clara Valley Basin, in the upper LA basin and along unlined canals carrying Colorado River water, showing that much of the recent recharge in central and southern California is dominated by river recharge and managed aquifer recharge. Modern groundwater is found in wells with the top open intervals below 60 m depth in the southeastern San Joaquin Valley, Santa Clara Valley and Los Angeles basin, as the result of intensive pumping and/or managed aquifer recharge operations.

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Inverse Application of Age-Distribution Modeling Using Environmental Tracers H3∕He3

Cited by 18 publications

References 14 publications

Residence time distributions for hydrologic systems: Mechanistic foundations and steady-state analytical solutions

Residence time distributions for hydrologic systems: Mechanistic foundations and steady-state analytical solutions

Notes on Groundwater Age in Forward and Inverse Modeling

Geostatistical analysis of tritium, groundwater age and other noble gas derived parameters in California

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