In this paper we present a mathematical model and a numerical workflow for the simulation of a thermal single-phase flow with reactive transport in porous media, in the presence of fractures. The latter are thin regions which might behave as high or low permeability channels depending on their physical parameters, and are thus of paramount importance in underground flow problems. Chemical reactions may alter the local properties of the porous media as well as the fracture walls, changing the flow path and possibly occluding some portions of the fractures or zones in the porous media. To solve numerically the coupled problem we propose a temporal splitting scheme so that the equations describing each physical process are solved sequentially. Numerical tests show the accuracy of the proposed model and the ability to capture complex phenomena, where one or multiple fractures are present.

在本文中，我们提出了一个数学模型和一个数值工作流程，用于模拟在裂缝存在的情况下，多孔介质中具有反应性传输的热单相流。后者是薄区域，取决于它们的物理参数，它们可能表现为高渗透率通道或低渗透率通道，因此在地下流动问题中至关重要。化学反应可能会改变多孔介质以及裂缝壁的局部特性，从而改变流动路径，并可能堵塞多孔介质中裂缝或区域的某些部分。为了在数值上解决耦合问题，我们提出了一种时间分裂方案，以便依次描述描述每个物理过程的方程。数值测试表明所提出模型的准确性和捕获复杂现象的能力，