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laws:hypofe2 [2023/11/24 11:12] arthur [Files] |
laws:hypofe2 [2023/11/29 13:51] (current) arthur [The model] |
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The main water retention curves (d=drying, w=wetting) are, according to the Van Genuchten model: | The main water retention curves (d=drying, w=wetting) are, according to the Van Genuchten model: | ||
- | \[S_{ed} = S_{res} + (S_{max}-S_{res}) \left[+ 1 \left(\frac{s}{a_d}\right)^{n_d}\right]^{-m_d}\] | + | \[S_{ed} = S_{res} + (S_{max}-S_{res}) \left[1 + \left(\frac{s}{a_d}\right)^{n_d}\right]^{-m_d}\] |
- | \[S_{ew} = S_{res} + (S_{max}-S_{res}) \left[+ 1 \left(\frac{s}{a_w}\right)^{n_w}\right]^{-m_w}\] | + | \[S_{ew} = S_{res} + (S_{max}-S_{res}) \left[1 + \left(\frac{s}{a_w}\right)^{n_w}\right]^{-m_w}\] |
The hysteresis is then defined by: | The hysteresis is then defined by: | ||
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|SIG(9)|Homogenised mean flow of the pollutant along $y$ $(=(f_{py,a}+f_{py,b})/2)$| | |SIG(9)|Homogenised mean flow of the pollutant along $y$ $(=(f_{py,a}+f_{py,b})/2)$| | ||
|SIG(10)|Homogenised pollutant flow stored (takes advection into account) $(=f_{pe})$| | |SIG(10)|Homogenised pollutant flow stored (takes advection into account) $(=f_{pe})$| | ||
- | |SIG(11)|Homogenised diffusive flow of the pollutant along $x$ for the current step $(=f_{px,b})| | + | |SIG(11)|Homogenised diffusive flow of the pollutant along $x$ for the current step $(=f_{px,b})$| |
- | |SIG(12)|Homogenised diffusive flow of the pollutant along $y$ for the current step $(=f_{py,b})| | + | |SIG(12)|Homogenised diffusive flow of the pollutant along $y$ for the current step $(=f_{py,b})$| |
|SIG(13)|Homogenised gas flow along $x$ $(=f_{gx})$| | |SIG(13)|Homogenised gas flow along $x$ $(=f_{gx})$| | ||
|SIG(14)|Homogenised gas flow along $y$ $(=f_{gy})$| | |SIG(14)|Homogenised gas flow along $y$ $(=f_{gy})$| |