Darcy’s law and groundwater flow modelling

Schnappschüsse moderner Mathematik aus Oberwolfach

Darcy’s law and groundwater flow modelling

Formulations of natural phenomena are derived, sometimes, from experimentation and observation. Mathematical methods can be applied to expand on these formulations, and develop them into better models. In the year 1856, the French hydraulic engineer Henry Darcy performed experiments, measuring water flow through a column of sand. He discovered and described a fundamental law: the linear relation between pressure difference and flow rate – known today as Darcy’s law. We describe the law and the evolution of its modern formulation. We furthermore sketch some current mathematical research related to Darcy’s law.

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Mathematisches Fachgebiet

Analysis

Numerik und Wissenschaftliches Rechnen

Verbindung zu anderen Gebieten

Chemie und Geowissenschaft

Physik

Autor(en)

Ben Schweizer

Lizenz

CC BY-SA-3.0

DOI (Digital Object Identifier)

10.14760/SNAP-2015-007-EN

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