1. Reference problem#
1.1. Presentation#
In this test case, we study the hydraulic behavior of a porous medium saturated by a single fluid: water in its liquid phase. In Code_Aster, this is a HMou THMen temperature-blocking model. According to the models, the associated fluid behavior law is either type LIQU_SATU (models A, C, E, G, I, J) or type LIQU_GAZ_ATM (models B, D, F, H) or type (models B, D, F, H).
1.2. Geometry#
Coordinates of points \((m)\):
Dots |
\(X\) |
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\(A\) |
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\(B\) |
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\(C\) |
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\(D\) |
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1.3. Material properties#
solid |
Density \(({\mathrm{kg.m}}^{-3})\) Drained Young’s module \(E(\mathrm{Pa})\) Poisson’s Ratio |
\(2.\times {10}^{3}\) \(225.\times {10}^{6}\) \(0.\) |
Fluid (liquid water) |
Density \(({\mathrm{kg.m}}^{-3})\) Compressibility of liquid \((\mathrm{Pa})\) Dynamic viscosity of liquid water \((\mathrm{Pa.s})\) Derived from the viscosity of the fluid with respect to temperature |
\({10}^{3}\) \(2.65\times {10}^{8}\) \({10}^{-3}\) \(0.\) |
Homogenization coefficients |
Coefficient of \(\mathrm{Biot}\) Porosity |
\(1.\) \(0.4\) |
Homogenized coefficients |
Homogenized density \(({\mathrm{kg.m}}^{-3})\) Saturation Derivative of saturation with respect to pressure Next gravity \(X\) Next gravity \(Y\) Next gravity \(Z\) Intrinsic permeability \(({m}^{2})\) Relative liquid permeability \(({m}^{2})\) |
\(1.\) \(0.\) \(0.\) \(-10\) in \(\mathrm{2D}\), 0 in \(\mathrm{3D}\) \(-10\) in \(\mathrm{3D}\), 0 in \(\mathrm{2D}\) \({10}^{-18}\) \(1.\) |
1.4. Boundary conditions and loads#
Full item:
Travel \({u}_{x}=0.0m,{u}_{y}=0.0m,{u}_{z}=0.0m\).
For models \(\mathrm{THM}\), \(T=\mathrm{0º}\).
1.5. Initial conditions#
The displacement fields and capillary pressure fields are initially zero, the dry air pressure is equal to atmospheric pressure and the reference temperature is set to \({T}_{0}=273°K\)