Precise Integral Model of Seepage Heat Transfer in Fractured Rock Bodies

Abstract

Based on the coupled seepage-heat transfer theory and the finite difference method, a precise integral model is proposed for seepage and heat transfer in fractured rock mass. It combines the seepage heat transfer model in the fracture region and the heat conduction model in the rock region. and also combines the precise integration method for the coupled seepage-heat transfer calculation, including the following parts: firstly, the controlling equations for the fracture and the rock body are established based on Fourier's law and the principle of energy conservation; then, considering a multilayered medium composed of different rock masses and fractures, the simulation is carried out using rectangular cells, and the partial differential equations are converted to ordinary differential equations using finite difference theory; next, The Precise Integral Method is then applied to calculate the temperature field with high accuracy. Analytical solutions are used to verify the model, and a condition for stabilizing the control equation is provided. Finally, Examples are given to show how different parameters and boundary conditions affect seepage heat transfer in fractured rock bodies, demonstrating the model's excellent simulation capabilities.

Keywords: coupled seepage heat transfer, finite difference, fractured rock, precise integration, Heat transfer, multilayer media