Thermal performance of stratified fluid-filled geomaterials with compressible constituents around a deep buried decaying heat source

This paper investigates the transient thermal performance of stratified fluid-filled geomaterials with compressible constituents due to a buried decaying heat source. Starting with the governing partial differential equations, the ordinary differential matrix equation is derived by means of Laplace transform and Hankel transform. Using the extended precise integration method, the ordinary differential matrix equation is solved in the transformed domain, and the actual solutions are acquired through the inversion of Laplace and Hankel transforms. Two numerical calculations are given to validate the accuracy and feasibility of the presented approach, and other calculations are performed to study the effects of the heat source’s half-life, compressible constituents, thermal expansion coefficients, and the stratified character on the transient thermal response of medium.