title: Complex groundwater flow systems as traveling agent models.
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.
authors.affiliation: Posgrado en Ciencias de la Tierra, Instituto de Geología, Universidad Nacional Autónoma de México , México D.F. , Mexico.
authors.forename: Oliver
authors.initials: O
authors.lastname: López Corona
authors.affiliation: IIMAS, Universidad Nacional Autónoma de México , México D.F. , Mexico.
authors.forename: Pablo
authors.initials: P
authors.lastname: Padilla
authors.affiliation: Instituto de Geología, Universidad Nacional Autónoma de México , México D.F. , Mexico.
authors.forename: Oscar
authors.initials: O
authors.lastname: Escolero
authors.affiliation: Instituto de Geofísica, Universidad Nacional Autónoma de México , México D.F. , Mexico.
authors.forename: Tomas
authors.initials: T
authors.lastname: González
authors.affiliation: Instituto de Geología, Universidad Nacional Autónoma de México , México D.F. , Mexico.
authors.forename: Eric
authors.initials: E
authors.lastname: Morales-Casique
authors.affiliation: Posgrado en Ciencias Biológicas, Facultad de Ciencias, Universidad Nacional Autónoma de México , México D.F. , Mexico ; Departamento de Matemáticas, Universidad Nacional Autónoma de México , México D.F. , Mexico.
authors.forename: Luis
authors.initials: L
authors.lastname: Osorio-Olvera
keywords: 1/f noise; Complex systems; Hydrogeology; Quantum game theory; Spatially extended games