A semi-analytical solution for heat transport in rock with parallel fractures and a heat source in both fracture and matrix

In this study, we propose a two-dimensional semi-analytical solution framework based on a Green’s function approach for a flexible heat source definition, including source dimensions, energy delivery strength and duration, and the presence of a heat source in the matrix and/or fracture. The solution fully accounts for heat conduction, advection, dispersion and transient heat exchange between the mobile and immobile phases in a system of parallel fractures. The solution having a strip heat source extending from a fracture into the matrix indicates that one-dimensional heat conduction in the matrix underestimates and overestimates temperature responses at early and later times, respectively.

The dataset is for the figures 2-7 in the journal paper.