Simulation of Nonisothermal Consolidation of Saturated Soils Based on a Thermodynamic Model

Table 1

List of the main parameters used in this paper.

Parameter type	Elastic potential energy; density function parameters			Migration coefficient		Hysteric parameters	Non-isothermal consolidation	Thermal expansion; coefficient (°C^−1)
	𝐵0/Pa	𝐵1/(m^3/kg)	𝑐/[—]	𝑚1/[—]	𝑚2/min^−(1−2𝑎)/𝑎	ℎ/[—]	𝛼𝑏𝑓/°C^−1	𝛽𝑠	𝛽𝑓
	𝑐^′/[—]	ξ/[—]		𝑚3/[—]	m 4/(kg/m^3/min)	𝑤/[—]	m 5/(kg⋅min/m^4)
Silty clay	510	0.0116	0.02	0.558	1.79×10^3	0.022	0.02	1×10^−6	3×10^−4
	0.12	0.276		0.447	48.4	0.98	3.2×10^−6

Note: the two upper and lower values correspond to the upper and lower parameters for the corresponding clay. The parameter 𝑎 in (18b) is taken as 0.455; the initial value of porosity of bound water is 0.1. Parameters 𝐵₀, 𝐵₁, 𝑐, 𝑐^′, and 𝜉 can be seen in (12a) and (12b); parameters 𝑚₁, 𝑚₂, 𝑚₃, 𝑚₄, and 𝑚₅ can be seen in (20); parameters ℎ and 𝑤 can be seen in (19b); parameter 𝛼_𝑏𝑓 can be seen in Section 2.2.1 and (15e). In (3) and (4), 𝐾_𝑠=10¹² Pa, 𝑐_𝑓=10⁻¹⁰ Pa⁻¹, 𝑘₀=6.4×10⁻¹⁸ m², and 𝑏_𝑘=3.25.