论文标题
多孔培养基中热单相流量和反应性传输的数学模型
A mathematical model for thermal single-phase flow and reactive transport in fractured porous media
论文作者
论文摘要
在本文中，我们提出了一个数学模型和一个数值工作流程，用于在存在裂缝的情况下，在多孔介质中使用反应性传输的热单相流量进行模拟。后者是薄的区域，根据其物理参数，可能表现为高或低渗透率通道，因此在地下流量问题中至关重要。化学反应可能会改变多孔培养基的局部特性以及断裂壁，改变流动路径，并可能阻塞多孔培养基中的某些部分断裂或区域。为了求解数值问题，我们提出了一个时间分裂方案，以便依次求解描述每个物理过程的方程式。数值测试显示了提出的模型的准确性以及捕获复杂现象的能力，其中存在一个或多个骨折。
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 shows the accuracy of the proposed model and the ability to capture complex phenomena, where one or multiple fractures are present.
