Table 1 Parameters

\(\underline{\underline{\underline{\underline{A}}}}\)

Forth order Hooke’s tensor

\(\text {Pa}\)

\(\underline{\underline{\varepsilon }}\)

Strain tensor

–

E

Young’s modulus

\(\text {Pa}\)

\(\nu \)

Poisson’s ratio

–

\(K_0\)

Drained bulk modulus of the continuum

\(\text {Pa}\)

\(K_l\)

Bulk modulus of the fluid

\(\text {Pa}\)

\(K_s\)

Bulk modulus of the solid matrix

\(\text {Pa}\)

\(K_{int}\)

Intrinsic permeability

\(\text {m}^2\)

\(\varphi \)

Porosity

–

\(\mu _l\)

Fluid dynamic viscosity

\(\text {Pa} \, \text {s}\)

\(h_f\)

Specific enthalpy of the fluid

\(\text {J} \, \text {kg}^{-1}\)

\(h_{f0}\)

Initial specific enthalpy of the fluid

\(\text {J} \, \text {kg}^{-1}\)

\(p_{atm}\)

Atmospheric pressure

\(\text {Pa}\)

\(C_s\)

Specific heat of the solid

\(\text {J} \, \text {kg}^{-1} \, \text {K}^{-1}\)

\(C_f\)

Specific heat of the fluid

\(\text {J} \, \text {kg}^{-1} \, \text {K}^{-1}\)

\(C^p_f\)

Specific heat of the fluid with constant pressure

\(\text {J} \, \text {kg}^{-1} \, \text {K}^{-1}\)

\(C^0_\epsilon \)

Specific heat of the medium to constant deformation

\(\text {J} \, \text {K}^{-1} \, \text {m}^{-3}\)

\(C^0_\sigma \)

Specific heat of the medium to constant constraint

\(\text {J} \, \text {K}^{-1} \, \text {m}^{-3}\)

\(\rho _s\)

Solid density

\(\text {kg} \, \text {m}^{-3}\)

\(\rho _f\)

Fluid density

\(\text {kg} \, \text {m}^{-3}\)

\(\rho _m\)

Medium density

\(\text {kg} \, \text {m}^{-3}\)

\(\lambda _H\)

Hydraulic conductivity

\(\text {Pa}^{-1} \text {m}^{2}\, \text {s}^{-1}\)

\(\lambda _T\)

Thermal conductivity

\(\text {W} \, \text {m}^{-1} \text {K}\)

\(T_0\)

Temperature of reference

\(\text {K}\)

\(\alpha _s\)

Dilation coefficient of the solid

\(\text {K}^{-1}\)

\(\alpha _l\)

Dilation coefficient of the fluid

\(\text {K}^{-1}\)

\(\alpha _m\)

Homogenized dilation coefficient of the medium

\(\text {K}^{-1}\)