Fractal stream chemistry and its implications for contaminant transport in catchments

By James W. Kirchner, Xiahong Feng, C. Neal. Nature, 2000

969 citations recorded by the source corpus.

Subfields: Environmental Engineering, Geochemistry and Petrology, Water Science and Technology

View Paper: https://www.semanticscholar.org/paper/385e12224ac50859b548130ce573b575e78568e9

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Citations in the corpus

Hybrid fuzzy and optimal modeling for water quality evaluation (2007, background): “Issues of indeterminacy, heterogeneity, extremes, and fractal processes represent some of the most important and challenging environmental research topics [Anderson et al., 2000; Kirchner et al., 2000; Medina et al., 2002; Kirchner et al., 2004; Neal and Heathwaite, 2005].”
The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics (2004, background): “…study, long-time catchment data of chloride tracer in rainwater recorded in Wales, UK, were shown to follow 1/f statistics in the power spectrum (Kirchner et al 2000), which might indicate strongly non-local correlations in time, which was later interpreted from an anomalous dynamics point of…”
The fine structure of water‐quality dynamics: the (high‐frequency) wave of the future (2004, background): “Hydrometric data can probably give a first indication of the necessary measurement frequency; Robson (1993) notes that, at Plynlimon, additional pH and conductivity measurements become redundant at about the same sampling frequency as additional discharge measurements do.”
Phosphorus legacy: overcoming the effects of past management practices to mitigate future water quality impairment. (2013, background): “This is true even for conservative analytes such as Cl − , where there are no additional biogeochemical retention or release processes involved (Kirchner et al., 2000, 2011).”
Suboptimal control of fractional-order dynamic systems with delay argument (2018, background): “, 2013), chemistry (Kirchner et al., 2000), bioengineering (Magin, 2004), hydrologic modelling (Benson et al.”
Time behavior of solute transport in heterogeneous media: transition from anomalous to normal transport (2003, methodology): “The results are discussed as an independent test [28] of a model [29] of fractal stream chemistry in catchments [ 30 ,31].”
Fractal mobile/immobile solute transport (2003, background): “…granite and dolomite [Becker and Shapiro, 2000; Haggerty et al., 2001; McKenna et al., 2001]; in saturated and unsaturated column experiments [Farrell and Reinhard, 1994; Werth et al., 1997; Callahan et al., 2000]; and in surface water flows [Kirchner et al., 2000, 2001; Haggerty et al., 2002].”
The dynamical foundation of fractal stream chemistry: The origin of extremely long retention times (2001, background): “A transport model must determine a F(t;l ) that when inserted in (7) gives rise to (4) for over three decades of time [Kirchner et al., 2000].”
The phosphorus transfer continuum: linking source to impact with an interdisciplinary and multi-scaled approach. (2005, background): “Recent analyses of the movement of contaminants in catchments indicate that the flow paths may be fractal in nature and that there are some paradoxical properties of delivery mechanisms to streams (Kirchner, 2003; Kirchner et al., 2000, 2004).”
Searching for the Holy Grail of scientific hydrology: Q t =( S, R, Δt ) A as closure (2006, background): “We still also have much to learn about the velocity distributions and residence time characteristics of the water particles (see, for example, Kirchner et al., 2000, 2001).”