laws:hmic
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laws:hmic [2023/11/24 14:09] gilles [Meaning] |
laws:hmic [2023/12/12 16:03] (current) gilles [Description] |
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| ===== Description ===== | ===== Description ===== | ||
| 2D hydraulic microscopic law for solid elements.\\ | 2D hydraulic microscopic law for solid elements.\\ | ||
| - | Can be parallelised in ELEMB (at the macro-scale) or in the perturbation loop (at the micro-scale). | + | Can be parallelised in ELEMB (at the macro-scale) or in the perturbation loop (at the micro-scale).\\ \\ |
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| + | The law definition and typical values of parameters for clays can be found in Corman (2024)((Corman, G. (2024). Hydro-mechanical modelling of gas transport processes in clay host rocks in the context of a nuclear waste repository. PhD thesis, University of Liège. https://hdl.handle.net/2268/307996)). | ||
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| |SIG(6)|Homogenised liquid flow along $y$ $(=f_{wy})$| | |SIG(6)|Homogenised liquid flow along $y$ $(=f_{wy})$| | ||
| |SIG(7)|Homogenised liquid flow stored $(=f_{we})$| | |SIG(7)|Homogenised liquid flow stored $(=f_{we})$| | ||
| - | |SIG(5)|gas total velocity in the X direction $(=f_{ax})$|gas advection + \\ gas diffusion + \\ dissolved gas advection + \\ dissolved gas diffusion| | + | |SIG(8)|Homogenised gas flow along $x$ $(=f_{ax})$|gas advection + \\ gas diffusion + \\ dissolved gas advection + \\ dissolved gas diffusion| |
| - | |SIG(6)|gas total velocity in the Y direction $(=f_{ay})$|:::| | + | |SIG(9)|Homogenised gas flow along $y$ $(=f_{ay})$|:::| |
| - | |SIG(7)|gas total velocity stored $(=f_{ae})$|:::| | + | |SIG(10)|Homogenised gas flow stored $(=f_{ae})$|:::| |
| - | |SIG(11)|Homogenised diffusive flow of the pollutant along $x$ for the current step $(=f_{px,b})$| | + | |SIG(11)|Advection dissolved gas flow along $x$ $(=f_{ad,x})$| |
| - | |SIG(12)|Homogenised diffusive flow of the pollutant along $y$ for the current step $(=f_{py,b})$| | + | |SIG(12)|Advection dissolved gas flow along $y$ $(=f_{ad,y})$| |
| - | |SIG(13)|Homogenised gas flow along $x$ $(=f_{gx})$| | + | |SIG(13)|Diffusion dissolved gas flow along $x$ $(=f_{add,x})$| |
| - | |SIG(14)|Homogenised gas flow along $y$ $(=f_{gy})$| | + | |SIG(14)|Diffusion dissolved gas flow along $y$ $(=f_{add,y})$| |
| - | |SIG(15)|Homogenised gas flow stored $(=f_{ge})$| | + | |SIG(15)|Advection gaseous gas flux along $x$ $(=f_{ag,x})$| |
| - | |SIG(16)|Advective flow of dissolved gas along $x$ (unused)| | + | |SIG(16)|Advection gaseous gas flux along $y$ $(=f_{ag,y})$| |
| - | |SIG(17)|Advective flow of dissolved gas along $y$ (unused)| | + | |SIG(18)|Unused| |
| |SIG(18)|Unused| | |SIG(18)|Unused| | ||
| |SIG(19)|Unused| | |SIG(19)|Unused| | ||
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| ===== State variables ===== | ===== State variables ===== | ||
| ==== Number of state variables ==== | ==== Number of state variables ==== | ||
| - | 10 + 5*(Number of Subscale Nodes)\\ | + | =6 in 2D cases |
| - | /!\ The state variables vector also contains the following information for each subscale node: X,Y,Pw,C,Pg | + | |
| ==== List of state variables ==== | ==== List of state variables ==== | ||
| - | |Q(1)|Liquid water mass at the RVE| | + | |Q(1)|Unused| |
| - | |Q(2)|Pollutant mass at the RVE| | + | |Q(2)|Unused| |
| - | |Q(3)|Gaseous air mass at the RVE| | + | |Q(3)|Homogenised macro-scale porosity| |
| - | |Q(4)|Homogenised macroscale porosity| | + | |Q(4)|Homogenised macro-scale saturation| |
| - | |Q(5)|Water saturation degree| | + | |Q(5)|Water storage| |
| - | |Q(6)|Homogenised water relative permeability| | + | |Q(6)|Gas storage| |
| - | |Q(7)|Homogenised gas relative permeability| | + | |Q(7)|Saved fracture aperture of the current step (from 7 to 7+nico)| |
| - | |Q(8)|Homogenised macroscale tortuosity| | + | |Q(8)|Unused| |
| - | |Q(9)|Vapour mass at the RVE (unused)| | + | |Q(9)|Unused| |
| - | |Q(10)|Homogenised succion| | + | |Q(10)|Unused| |
| - | |Q(11 + (i-1)*5)|$X_i$| | + | |Q(11)|Unused| |
| - | |Q(11 + (i-1)*5 +1)|$Y_i$| | + | |Q(12)|Unused| |
| - | |Q(11 + (i-1)*5 +2)|$P_{w,i}$| | + | |
| - | |Q(11 + (i-1)*5 +3)|$C_i$| | + | |
| - | |Q(11 + (i-1)*5 +4)|$P_{g,i}$| | + | |
laws/hmic.1700831387.txt.gz · Last modified: 2023/11/24 14:09 by gilles
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