After sharing with my public my funny ideas about an electric-analogical model of the Venice lagoon, I can now proudly show you the first results:
using this tool I could make the first essays. It was kindly published by Israel A. Wagner and programmed by Leonid Kleyman & Evgeny Skarbovsky. I’d like to warmly thank them all for sharing their work on-line.
Hp: (for those who know a bit of the lagoon morphology)
- only simple (monoharmonic) sinusoidal potential oscillation at the three “mouths” of the circuit (same frequency for all, of course)
- three inlet channels reproduced via resistors
- blind (grounded) capacitors are for the reservoir effect offered by the mud flats, tidal shallows and salt marshes
- the three sub-domains communicate thanks to dissipative link (small channels), a little resistance
- the two “sensors” are placed near the wave generator (tidal boundary condition, in green) and near the main, central capacitor (the in-lagoon measurement, in yellow)
What we can observe is the typical “water level” (played here by a voltage, or electric potential, as water level is a potential energy) oscillation damped and delayed (yellow signal) by the dissipative propagation across the system of the periodic perturbation.
For the curious people: here is the code of my “worksheet matrix“: just click on the applet (file) “save/load” button, copy my code in the new window and operate the menu action->update matrix. Then “play” is all you need to do to see a very intuitive animation of the (electric) dynamics of the lagoon-circuit.
The things that must be done to do a first (and rude) improvement to this (let me say) “model”:
- input more realistic signals (possibly any kind of time-series)
- dimensional analysis for a better tuning of the electrical magnitudes needed in order to obtain a satisfying phenomenological reproduction
- giving more complexity to the system adding more components
- adapting the components response to get a more hydrodynamic-like (and less linear) behaviour: e.g. some hydraulic dissipations vary with the velocity square…
And finally we’ll have to:
- get real bathymetric, bed roughness (vegetation …) maps for a hydraulic-electric conductance scheme
- build (in wires) the model in its final layout, possibly with integrated input-output cards for easy computer integration so as to manage directly signal generation and physic measures recording
- get real field data to calibrate and validate the machine