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OGS
[case] SaturationVanGenuchten

A strain dependent bimodal water retention model.

It is based on the van Genuchten model.

The equation is as follows

S_{e} = \left((e_{m}+a \Delta e) \left[\frac{1}{((\frac{p_{c}}{p_{b}})^{n}+1)}\right]^{m} + (e_{M} - a \Delta e) \left[\frac{1}{((\frac{p_{c}}{p_{{b,M}}})^{n} +1)}\right]^{n} \right) \frac{1}{e}

with effective saturation defined as S_{e}=\frac{S-S_r}{S_{max}-S_r}, where S_r and S_{max} are the residual saturation and the maximum saturation, respectively. The exponent m \in (0,1) is the same as in the van Genuchten equation ( see SaturationVanGenuchten). In the original work another exponent n is used, but usually set to n = 1 / (1 - m), and also in this implementation. The pressure scaling parameter p_{b} is added by the user and is the scaling parameter of the micropores. The scaling parameter of the macropores can be calculated as follows p_{b,M} = p_{b} d_{diff} The total void ratio and the void ratio of the micropores are e_0 and e_m. Another scaling factor a scales the effect of the strain

The changing void ratio is calculated as \Delta e = -\frac{(1-e)\epsilon_{vol}}{e}, with \epsilon_{vol} as the volumetric strain. The result is then clamped between the residual and maximum liquid saturations.

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Used in the following test data files

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