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What is the difference between the Hydraulic diffusion equation and the Richards equation in groundwater dynamics? I want also to understand the difference between the different storage coefficients (Ss, S,..).

Both are differential equations:

Diffusivity equation: $$\ Ss. ∂h/ ∂t = −∇ ·(− K \nabla h) − G$$.(for Incompressible liquid)(the flux (q), source terms (G), the specific storage (Ss), hydraulic head (h)) (source)

Richards equation (headed based form (there two other forms of this equation)): $$C(h) . ∂h/∂t = ∇ · K(h)∇H$$ (specific moisture capacity C(h), (H) total hydraulic head, h is the matric head) (source)

Aren't they supposed to describe unsaturated flow ???

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  • $\begingroup$ can you write those equations in your question so we can avoid searching for it ? $\endgroup$ – gansub May 16 '17 at 10:45
  • $\begingroup$ Both are differential equations: Diffusivity equation: Ss. ∂h/ ∂t = −∇ · (−K∇h) − G.(for Incompressible liquid)(the flux (q), source terms (G), the specific storage (Ss), hydraulic head (h)) (source:en.wikipedia.org/wiki/Groundwater_flow_equation) Richards equation (headed based form (there two other forms of this equation)): C(h) . ∂h/∂t = ∇ · K(h)∇H (specific moisture capacity C(h), (H) total hydraulic head, h is the matric head) (source: en.wikipedia.org/wiki/Richards_equation) Aren't they supposed to describe unsaturated flow ??? $\endgroup$ – Rabah Akrour May 16 '17 at 11:16
  • $\begingroup$ can you include them in the question using MathJax ? $\endgroup$ – gansub May 16 '17 at 12:06
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    $\begingroup$ Voila, easy to use ! $\endgroup$ – Rabah Akrour May 16 '17 at 12:19

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