Research paperUse of combinations of lumped parameter models to interpret groundwater isotopic data
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Cited by (28)
The spectral response characteristics of unconfined aquifers to the variation of the temporal nonstationary inflow field
2021, Journal of HydrologyCitation Excerpt :This type of model, which does not require specification of heterogeneity on a small spatial scale, is called a lumped-parameter model (Domenico, 1972; Małoszewski and Zuber, 1982). Convolution of time series, a well-known lumped-parameter model, has been extensively employed to solve regional groundwater flow problems (e.g., Richter et al., 1993; Barlow et al., 2000; Hrachowitz et al., 2009; Obergfell et al., 2016). It is the integration of the product of any input in time and a time-lagged impulse response function that leads to a linear system response (Jenkins and Watts, 1968).
The age of groundwater - Definitions, models and why we do not need this term
2014, Applied GeochemistryCitation Excerpt :Therefore the lumped parameter approach is more powerful and encloses the former discussed concept of idealized age. Several lumped parameter tools are available as public domain software, which explains its abundant application (for DOS: FlowPC (Maloszewski and Zuber, 1996, 2000); Multis (Richter et al., 1993); for MS Excel: QuickCFC (Han, 2006); Boxmodel (Aeschbach-Hertig et al., 2006); TracerLPM (Jurgens et al., 2012); Standalone (Visual Basic): Lumped (Ozyurt and Bayari, 2003); LumpedUS (Ozyurt and Bayari, 2005); for MS Access: Lumpy (Suckow, 2012)). The inversion of tracer concentrations to derive a mean residence time is a non-unique process, and is additionally hampered by the fact that the shape of the age distribution is a priory unknown.
Isotopic and hydrochemical data as indicators of recharge areas, flow paths and water-rock interaction in the Caldas da Rainha-Quinta das Janelas thermomineral carbonate rock aquifer (Central Portugal)
2013, Journal of HydrologyCitation Excerpt :All different approaches require knowledge of the sources concentrations. Presently, the tritium peak is so narrow in most systems that the screen sizes on most boreholes includes water from periods several years above and bellow the tritium maximum (Zuber, 1986; Solomon et al., 1992; Richter et al., 1993; Reilly et al., 1994; Maloszewski and Zuber, 1996). The δ18O and δ2H values presented in Table 2 and displayed in Fig. 4 seem to indicate that the recharge of the Caldas da Rainha–Quinta das Janelas thermomineral aquifer systems is rather diffuse, being mainly related to the C (Middle Jurassic) geological formations (see Figs. 1 and 2).
Chapter 2 Radionuclides as Tracers and Timers of Processes in the Continental Environment - Basic Concepts and Methodologies
2009, Radioactivity in the EnvironmentCitation Excerpt :Lumped parameter models are also available for variable flow conditions (Zuber et al., 1986). Furthermore, a variety of software packages have been developed for the use of these models, for example MULTIS (Richter et al., 1993) and BOXmodel (Zoellmann et al., 2001). In all these models, the studied system is treated as a whole and the variations of parameters within the system are neglected.
A review and evaluation of catchment transit time modeling
2006, Journal of Hydrology