Categories of systems of equations in ODEs based hydrological systems

This is the continuation of the reservoirology topic saga.  Especially preparatory for understanding  is the Reservoirology #3 post. Here we show that the same topological structure of Petri Nets can address various physical concepts related to a hydrological system conceptualised as a set of reservoir and therefore solvable as a set of ODEs.
The main ODE system, however, does not reveal all of the system. A finer inspection can be obtained by investigating travel times and concentration of tracers (being the theoretical point of view, the first, the experimental one, the second).

To fix some concept we wrote the short presentations above. Or just click here. The pdf contains itself links to other posts and literature.

Reservoirology #3

This is a revision of the previous post on the same topic. There I tried to develop my own algebra of symbols to represent coarse grained (spatially integrated) hydrological system. Later on I understood that Petri networks were already there and useful to obtain the same result. The graphs obtained in such a way where, besides, studied in several places, and many contributes of literature convergent from other disciplines, can be used for hydrological scopes.

The presentation (click on the figure) completely substitutes the old one. Who liked it, will like better this.  When you will be done with this post, consider that there is also Reservoirology #4.

THIS MATERIAL IS NOW REFINED AND PUBLISHED IN WATER RESOURCES RESEARCH. YOU CAN FIND THE PAPER HERE.