Analysis of fully coupled thermomechanical behaviour around a rigid cylindrical heat source buried in clay

Abstract

SUMMARYThe problem of fully coupled consolidation and heat flow around a rigid cylindrical heat source buried in clay has been studied. The governing equations of the problem are summarized in the paper and a finite element time-marching scheme to obtain an approximate solution to the governing equations is described. The stress-strain behaviour of the skeleton of the saturated soil has been represented by both a linear elastic model and the modified Cam clay soil model. The results of a limited parametric study are presented with the aim of understanding the major mechanisms of soil behaviour close to buried canisters of hot radioactive waste. A range of soil properties has been included in the study, and the effects of soil disturbance during canister emplacement have also been considered.

Thermoelastic and thermoplastic response of a double-layer porous space containing a decaying heat source

“…4,[17][18][19][20] This paper extends the previous analytical solution of an homogeneous single thermoporoelastic isotropic layer containing a decaying heat source to a double layer. The solution method is then semi-analytical.…”

Temperature-dependent internal friction of clay in a cylindrical heat source problem

“…The thermo-hydro-mechanical response of a soil mass around a cylindrical heat source has been the subject of numerous studies in the past, with different levels of complexity, from the classical analytical thermoelastic solution of Goodier (1937) (see also Timoshenko & Goodier, 1934), through other analytical solutions for various thermal loadings (Booker & Savvidou, 1985;McTigue, 1986;Zhou et al, 1998) to more recent finite element computations including thermoelasticity (Britto et al, 1989;Carter & Booker, 1989) or thermoplasticity (Hueckel et al, 1987;Borsetto et al, 1993;Giraud, 1993;Ma & Hueckel, 1993;Picard, 1994;Seneviratne et al, 1994;Franc ¸ois et al, 2009). In the present study an isolated vertical cylindrical heat source is considered, and its thermo-hydro-mechanical effects on the surrounding clay mass are studied.…”

Transversely isotropic effects on the coupled thermo‐hydro‐mechanical performance for layered saturated media

“…In recent decades, numerous geotechnical projects such as energy piles, geothermal power generation and nuclear waste canisters have emerged, and have attracted scholarly focus towards the thermal and mechanical behaviors of media. [1][2][3] Following the framework of Biot's theory, 4 researchers proposed various governing equations [5][6][7][8][9][10][11][12][13][14][15][16] with common assumptions such as small temperature changes, local thermal equilibrium (LTE), and temperature variation rate being the main factor affecting excess pore fluid pressure. The distinctions among these governing equations [5][6][7][8][9][10][11][12][13][14][15][16] lie in the consideration of the compressibility of solid and fluid, heat convection and thermo-osmosis.…”

“…[1][2][3] Following the framework of Biot's theory, 4 researchers proposed various governing equations [5][6][7][8][9][10][11][12][13][14][15][16] with common assumptions such as small temperature changes, local thermal equilibrium (LTE), and temperature variation rate being the main factor affecting excess pore fluid pressure. The distinctions among these governing equations [5][6][7][8][9][10][11][12][13][14][15][16] lie in the consideration of the compressibility of solid and fluid, heat convection and thermo-osmosis. Based on the aforementioned governing equations, scholars have employed various methods to solve the THM coupling problem in isotropic fluid-filled media.…”

“…Subsequently, Smith and Booker 11 applied the Laplace integral transform to derive the Green function for thermal consolidation problems in isotropic porous media. Jiang and Rajapakse, 12 Seneviratne et al, 13 Wang and Papamichos, 17 Rihbinder, 18 Blond et al 19 also obtained analytical solutions for homogeneous isotropic thermoelastic porous media under different boundary conditions. Lee and Mei 20,21 took use of the homogenization theory to get the analytical solution for the linear THM coupling problem in fluid-filled media.…”