1. Zones of influence of active wells in an aquifer

In this first paragraph, we present the simplified two-dimensional equations of aquifer hydrodynamics and well flow. Water flow in the aquifer is assumed to be the same over the entire water head h (no z-variation in parameters).

1.1 Aquifer flow in porous media

In cylindrical coordinates (r, θ, z), the equation for underground hydrodynamics at the aquifer well at rest in a porous medium assumed to be homogeneous and isotropic is expressed as a function of the single variable r and time t by the partial differential equation :

\frac{\partial^{2} h}{\partial r^{2}} + \frac{1}{r} \frac{\partial h}{\partial r} = \frac{S_{aq}}{T_{aq}} \frac{\partial h}{\partial t}

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Bibliography

(1) - MONNOT (P.) - Les pompes à chaleur géothermiques à partir de forages sur aquifère. - Guide technique ADEME BRGM, BRGM Éditions, ISBN 978-2-7159-2532-8 (2012).
(2) - LALLEMAND-BARRES (A.), ROUX (J.-C.) - Périmètre de protection...

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