Table 3 The test case parameters
From: Scalable block preconditioners for saturated thermo-hydro-mechanics problems
Symbol | Value | Unit |
|---|---|---|
\(\mu _l\) | \(10^{-3}\) | \(\text {Pa} \,\text {s}\) |
\(K_l\) | \(2.10^9\) | \(\text {Pa}\) |
\(C_s\) | 1000 | \(\text {J} \, \text {kg}^{-1} \, \text {K}^{-1}\) |
\(C_f\) | 4180 | \(\text {J} \, \text {kg}^{-1} \, \text {K}^{-1}\) |
\(C^p_f\) | 4180 | \(\text {J} \, \text {kg}^{-1} \, \text {K}^{-1}\) |
\(\rho _f\) | 1000 | \(\text {kg} \, \text {m}^{-3}\) |
\(\lambda _T\) | 1.6 | \(\text {W} \, \text {m}^{-1} \, \text {K}\) |
\(T_0\) | 273 | \(\text {K}\) |
\(p_{atm}\) | \(10^5\) | \(\text {Pa}\) |
\(\alpha _s\) | \(10^{-5}\) | \(\text {K}^{-1}\) |
\(\alpha _l\) | \(10^{-4}\) | \(\text {K}^{-1}\) |
\(h_{f0}\) | \(\frac{p_{atm}}{\rho _f}\) | \(\text {J} \, \text {kg}^{-1}\) |
\(K_s\) | \(\frac{E}{3(1-2\nu )}\) | \(\text {Pa}\) |
\(K_0\) | \(K_s\) | \(\text {Pa}\) |
\(\lambda _H\) | \(K_{int}/\mu _l\) | \(\text {Pa}^{-1} \, \text {m}^{2} \, \text {s}^{-1}\) |
\(C^0_\sigma \) | \(C_s\rho _s(1-\varphi )+C_l\rho _f\varphi \) | \(\text {J} \, \text {K}^{-1} \, \text {m}^{-3}\) |
\(\rho _s\) | (\(\rho _m - \varphi \rho _f) / (1 - \varphi )\) | \(\text {kg} \, \text {m}^{-3}\) |
\(\alpha _m\) | \(\varphi \alpha _l+(1-\varphi )\alpha _s\) | \(\text {K}^{-1}\) |
Clay | ||
|---|---|---|
Symbol | Value | Unit |
E | \(6.10^{9}\) | \(\text {Pa}\) |
\(\nu \) | 0.3 | – |
\(\rho _{m}\) | 2410 | \(\text {kg} \, \text {m}^{-3}\) |
\(K_{int}\) | \(4.10^{-21}\) | \(\text {m}^{2}\) |
\(\varphi \) | 0.18 | – |
Concrete | ||
|---|---|---|
Symbol | Value | Unit |
E | \(15.10^{9}\) | \(\text {Pa}\) |
\(\nu \) | 0.2 | – |
\(\rho _{m}\) | 2500 | \(\text {kg} \, \text {m}^{-3}\) |
\(K_{int}\) | \(10^{-11}\) | \(\text {m}^{2}\) |
\(\varphi \) | 0.2 | – |