Thermo-poromechanics of a fluid-filled cavity in a fluid-saturated geomaterial

Abstract

In this paper, we examine the coupled thermoporomechanical behaviour of a fluid-saturated porous medium of infinite extent bounded internally by a fluid-filled cavity. The mechanical behaviour of the porous skeleton can either be Hookean elastic or elasto-plastic, with a constitutive response corresponding to a modified Cam Clay plasticity model. The fluid within the cavity can be subjected simultaneously to a temperature rise and a pressure pulse. The paper presents analytical results for the spherically symmetric thermo-poroelasticity problem and these are used to validate the thermo-poroelasticity module of a computational code. We proceed to examine the thermo-poroelasto-plasticity problem. Results presented in the paper illustrate the interaction between thermal and mechanical phenomena and their influence on the cavity fluid pressure and the skeletal stresses at the cavity boundary. The paper presents solutions that will be of value in benchmarking exercises.

Axisymmetric thermal consolidation of multilayered porous thermoelastic media due to a heat source

“…Nature materials may have complicated layers, and in order to simplify the analysis, a model of three‐layered half‐space with h 1 : h 2 : r 0 = 3 : 5 : 5 is considered. The parameters of the media refer References , and four cases are chosen for comparison: case 1: κ 1 : κ 2 : κ 3 = κ 0 : κ 0 : 2 κ 0 , μ 1 : μ 2 : μ 3 = 0.3 : 0.3 : 0.25, and n j = 0.4; case 2: κ 1 : κ 2 : κ 3 = κ 0 : 3 κ 0 : 3 κ 0 , μ 1 : μ 2 : μ 3 = 0.3 : 0.3 : 0.25, and n j = 0.4; case 3: κ 1 : κ 2 : κ 3 = κ 0 : 3 κ 0 : 3 κ 0 , μ 1 : μ 2 : μ 3 = 0.3 : 0.25 : 0.25, and n j = 0.4; case 4: κ 1 : κ 2 : κ 3 = κ 0 : 3 κ 0 : 3 κ 0 , μ 1 : μ 2 : μ 3 = 0.3 : 0.25 : 0.25, and n j = 0.5, in which κ 0 = 1.1 × 10 − 6 m 2 /s and j = 1, 2, 3. Other parameters of the three‐layered porous thermoelastic half‐space satisfy the following relationship: G 1 : G 2 : G 3 = G 0 : 1.5 G 0 : 2 G 0 , , α j = 10 − 5 / o C , α wj = 2 × 10 − 4 / o C , C j = 600J/kg o C , ρ j = 2200 kg /m 3 , Q 0 = 100 k W, and r 0 = 5m, where G 0 = 6 × 10 4 kPa, and the other parameters and results are displayed in Figure .…”

“…Lu and Lin presented analytical solutions of the axial symmetrical thermal consolidation caused by a decaying point heat source in a saturated isotropic poroelastic full space. Selvadurai and Suvorov examined the coupled thermoporomechanical behavior of a fluid‐saturated porous medium of infinite extent bounded internally by a fluid‐filled cavity. In the investigations mentioned previously, it was assumed that the material system is of the same medium characteristic, which is not realistic in most engineering examples.…”

Wave propagation and strain localization in a fully saturated softening porous medium under the non‐isothermal conditions

“…In analogy to the general non‐isothermal case, we can identify the necessary condition that leads to instability. The loss of stability may appear if one of the following criteria is met: Mobility k = 0, in which case b 0 and b 2 are both equal to 0. Tangential modulus E t ≤−( β 2 T 0 / ρ c ) leads to b 0 ≤0. Tangential modulus leads to b 1 ≤0. Specific heat so that b 3 ≤0. Remark Notice that in many THM formulations, such as Selvadurai and Suvorov and Selvadurai and Suvorov , the work carried out or energy dissipation of the fluid and solid constituents are assumed to be negligible in the balance of energy equation. In this case, the energy balance equation, Eq.…”

Coupled consolidation and heat flow analysis of layered soils surrounding cylindrical heat sources using a precise integration technique

“…Coupled consolidation and heat flow problems for saturated soils undergoing temperature change are frequently encountered in the fields of civil, energy, and environmental engineering. A variety of engineering applications, eg, energy pile systems, deep geological radioactive waste disposals, and high temperature pipelines, have gained considerable attentions . In particular, numerous research efforts have been concentrated on the heat transfer analysis for these problems in the fields of energy and environmental engineering .…”