Thermal Consolidation of a Poroelastic Full Space Subjected to a Decaying Point Heat Source

This study constructs a multilayered transversely isotropic saturated model under thermal and horizontally circular loads, and further investigates the model's thermo‐hydro‐mechanical coupling response. Firstly, the ordinary differential matrix equations of thermoelastic saturated media in the integral transformed domain are derived. Secondly, the solution for multilayered thermoelastic saturated media is developed using the extended precise integration method (EPIM), along with the boundary conditions at both ends of the foundation and the continuity conditions between adjacent layers. After that, the solution in the physical domain is further attained with the use of Laplace‐Hankel integral transform inversion. Finally, the accuracy of the proposed theory is confirmed through numerical examples, and the influences of anisotropic parameters, the soil's stratification and porosity on the thermo‐hydro‐mechanical coupling response of the media are studied.

Section: Introductionmentioning

confidence: 99%

Performance analysis of multilayered transversely isotropic saturated media under temperature and horizontally circular loads

Feng,

2024

“…Bai and Abousleiman discussed the general conditions where the thermo‐poro‐elastic coupling characteristics can be achieved and where a partial or full decoupling technique may be applied. 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 …”

Section: Introductionmentioning

confidence: 99%

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

Wang

Zhu

Chen

et al. 2019

Summary The engineering applications of energy piles, geological radioactive waste disposals, and mining wells of geothermal and petroleum are usually associated with strong coupled behaviour of consolidation and heat flow. This paper aims to present an efficient precise integration technique (PIT) for the analysis of such behaviour within layered saturated soils surrounding cylindrical heat sources (ie, with a cross section as a point, ring, or disc). Each soil layer, together with its embedded part of heat source, is divided into 2N layer elements with equal thickness. Then any pair of adjacent two layer elements are merged into a heat source on the interface. With the aid of Taylor series expansion and recurrence formula for adjacent layer elements combination, such problems can be solved by means of an improved PIT. Typical examples are performed to examine the effects of heat source type and soils layered properties on the coupled consolidation and heat flow responses. The elevation of the clay surface increases with time because of thermal expansion and reaches a peak value before showing a tendency of getting stabilised because of the dissipation of pore pressure becoming dominant. Such a peak cannot be achieved in sand case because of no accumulation of pore pressure. The influencing area of the heat source was found to be limited to near the source. These quantitative results serve as good verification of the presented technique, which proves to be remarkably efficient and several orders more accurate than traditional numerical techniques in that it ideally reaches the accuracy limit of the hardware of the computers used.

“…Chen and Ledesma obtained an analytical solution for the transient heat and moisture transport in a porous unsaturated clay buffer simulating repository conditions. 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.…”

Section: Introductionmentioning

confidence: 99%

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

Wang

2015

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.