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Visualizing Hyporheic Flow Through Bedforms Using Dye Experiments and Simulation
Published on: November 18, 2015
Complex groundwater flow systems as traveling agent models
Oliver López Corona1, Pablo Padilla2, Oscar Escolero3
1Posgrado en Ciencias de la Tierra, Instituto de Geología, Universidad Nacional Autónoma de México , México D.F. , Mexico.
Abstract:
Analyzing field data from pumping tests, we show that as with many other natural phenomena, groundwater flow exhibits complex dynamics described by 1/f power spectrum. This result is theoretically studied within an agent perspective. Using a traveling agent model, we prove that this statistical behavior emerges when the medium is complex. Some heuristic reasoning is provided to justify both spatial and dynamic complexity, as the result of the superposition of an infinite number of stochastic processes. Even more, we show that this implies that non-Kolmogorovian probability is needed for its study, and provide a set of new partial differential equations for groundwater flow.
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