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

Abstract

SUMMARYThis paper presents an analytical layer element solution to axisymmetric thermal consolidation of multilayered porous thermoelastic media containing a deep buried heat source. By applying the Laplace-Hankel transform to the state variables involved in the basic governing equations of porous thermoelasticity, the analytical layer elements that describe the relationship between the transformed generalized stresses and displacements of a finite layer and a half-space are derived. The global stiffness matrix equation is obtained by assembling the interrelated layer elements, and the real solutions in the physical domain are achieved by numerical inversion of the Laplace-Hankel transform after obtaining the solutions in the transformed domain. Finally, numerical calculations are performed to demonstrate the accuracy of this method and to investigate the influence of heat source's types, layering, and the porous thermoelastic material parameters on thermal consolidation behavior.

Semianalytical Solution for Thermal Consolidation of Viscoelastic Marine Clay with the Fractional Order Derivative

“…Lu et al [20] investigated the thermalmechanical coupling response of saturated porous media under simple harmonic heat and load based on the generalized thermoelastic theory [20]. Ai and Wang [21] studied the axisymmetric thermal consolidation of layered elastic saturated porous media under the action of the heat source [21]. Furthermore, Ai et al [22] studied the axisymmetric thermal consolidation of layered transversely isotropic porous media [22].…”

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

“…Lu and Lin 23 studied the axial symmetrical thermal consolidation caused by a decaying point heat source in a saturated isotropic poro-elastic full space. In the light of deposition processes of natural soils, it is necessary to consider the stratification characteristics when analysing the coupled consolidation and heat flow responses, and several solutions for this problem of layered soils are derived utilising the analytical approaches [24][25][26] and numerical methods. [27][28][29] The aforementioned literatures focused on the thermal performance of soils around a point or a plane heat source, which may fails to accurately describe the near-field responses in the field.…”

“…Generally, several methods have been developed to obtain the explicit solutions for multilayered soil systems, such as the finite layer method (FLM), 42,43 the transfer matrix method (TMM), [44][45][46][47] and the stiffness matrix method (SMM). 24,48 Compared with the solutions for consolidation 42,45,[49][50][51] and TM problems, 17,47 the explicit solutions for the THM problems of layered soils are difficult to derive for more complex governing equations using the aforementioned analytical or semianalytical methods. Although classic numerical methods, such as FEM 39,52,53 and the boundary element method (BEM), 28,54 are capable of implementing the coupled consolidation and heat flow behaviours of layered soils, vast amounts of computational storage are required and the solutions are highly dependent on the type of discretisation.…”

“…Lu and Lin studied the axial symmetrical thermal consolidation caused by a decaying point heat source in a saturated isotropic poro‐elastic full space. In the light of deposition processes of natural soils, it is necessary to consider the stratification characteristics when analysing the coupled consolidation and heat flow responses, and several solutions for this problem of layered soils are derived utilising the analytical approaches and numerical methods …”

“…Above all, it is necessary to take the soil's layered characteristic and heat source's type into consideration when analysing the thermal response of soils around heat sources. Generally, several methods have been developed to obtain the explicit solutions for multilayered soil systems, such as the finite layer method (FLM), the transfer matrix method (TMM), and the stiffness matrix method (SMM) . Compared with the solutions for consolidation and TM problems, the explicit solutions for the THM problems of layered soils are difficult to derive for more complex governing equations using the aforementioned analytical or semianalytical methods.…”