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| Titel |
Transit times and age distributions for reservoir models represented as nonlinear non-autonomuous systems |
| VerfasserIn |
Markus Müller, Holger Meztler, Anna Glatt, Carlos Sierra |
| Konferenz |
EGU General Assembly 2016
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| Medientyp |
Artikel
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| Sprache |
en
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| Digitales Dokument |
PDF |
| Erschienen |
In: GRA - Volume 18 (2016) |
| Datensatznummer |
250125123
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| Publikation (Nr.) |
 EGU/EGU2016-4657.pdf |
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| Zusammenfassung |
| We present theoretical methods to compute dynamic residence and transit time
distributions for non-autonomous systems of pools governed by coupled nonlinear
differential equations. Although transit time and age distributions have been used
to describe reservoir models for a long time, a closer look to their assumptions
reveals two major restrictions of generality in previous studies. First, the systems are
assumed to be in equilibrium; and second, the equations under consideration are
assumed to be linear. While both these assumptions greatly ease the computation and
interpretation of transit time and age distributions they are not applicable to a wide
range of problems. Moreover, the transfer of previous results learned from linear
systems in steady state to the more complex nonlinear non-autonomous systems that
do not even need to have equilibria, can be dangerously misleading. Fortunately
the topic of time dependent age and transit time distributions has received some
attention recently in hydrology, we aim to compute these distributions for systems of
multiple reservoirs. We will discuss how storage selection functions can augment the
information represented in an ODE system describing a system of reservoirs. We
will present analytical and numerical algorithms and a Monte Carlo simulator to
compute solutions for system transit time and age distributions for system-wide storage
selection functions including the most simple, but important case of well mixed pools. |
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