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Visualizing Hyporheic Flow Through Bedforms Using Dye Experiments and Simulation
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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.

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Summary
This summary is machine-generated.

Groundwater flow dynamics exhibit a 1/f power spectrum, indicating complex behavior in natural systems. This complexity arises from the medium

Keywords:
1/f noiseComplex systemsHydrogeologyQuantum game theorySpatially extended games

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Area of Science:

  • Hydrogeology and Complex Systems Science

Background:

  • Groundwater flow is a fundamental process in Earth sciences.
  • Understanding groundwater dynamics is crucial for water resource management and environmental studies.
  • Many natural phenomena exhibit complex dynamics, but their application to groundwater flow requires further investigation.

Purpose of the Study:

  • To analyze field data from pumping tests to characterize groundwater flow dynamics.
  • To theoretically investigate the emergence of complex dynamics in groundwater flow using an agent-based approach.
  • To develop new theoretical frameworks, including novel partial differential equations, for studying groundwater flow.

Main Methods:

  • Analysis of field data from pumping tests.
  • Theoretical modeling using a traveling agent perspective.
  • Development of heuristic reasoning for spatial and dynamic complexity.
  • Application of non-Kolmogorovian probability concepts.

Main Results:

  • Groundwater flow exhibits a 1/f power spectrum, indicative of complex dynamics.
  • This statistical behavior emerges from a complex medium when studied through a traveling agent model.
  • Spatial and dynamic complexity result from the superposition of infinite stochastic processes.
  • The study necessitates the use of non-Kolmogorovian probability for analyzing groundwater flow.
  • A new set of partial differential equations for groundwater flow has been derived.

Conclusions:

  • Groundwater flow is characterized by complex dynamics, evidenced by the 1/f power spectrum.
  • Agent-based modeling and non-Kolmogorovian probability offer new avenues for understanding groundwater flow in complex media.
  • The derived partial differential equations provide a novel mathematical framework for future research in hydrogeology.