论文标题
热力学一致的Darcy-Brinkman-Forchheimer框架在基质酸化中
Thermodynamically Consistent Darcy-Brinkman-Forchheimer Framework in Matrix Acidization
论文作者
论文摘要
基质酸化是在第三级恢复阶段增强石油产量的重要技术，其数值模拟从未结束。从最早的模型之一，即两尺度模型（Darcy框架），Darcy-Brinkman-Forchheimer（DBF）框架是通过将Brinkman术语和Forchheimer术语添加到动量保护方程式中开发的。但是，在DBF框架的动量保护方程中，孔隙率在时间推导项之外，该术语无法很好地描述孔隙率的变化。因此，这项工作改变了表达式，以使经过修改的动量保护方程可以满足牛顿的第二定律。修改后的框架称为改进的DBF框架。此外，基于改进的DBF框架，通过将能量平衡方程式引入改进的DBF框架来给出热DBF框架。前者通过数值实验和实验室中的化学实验来验证两个框架。还实现了与复杂框架代码的并行化，并且可以实现良好的可扩展性。
Matrix acidization is an important technique to enhance oil production at the tertiary recovery stage, and its numerical simulation is never concluded. From one of the earliest models, i.e. the two-scale model (Darcy framework), the Darcy-Brinkman-Forchheimer (DBF) framework is developed by adding Brinkman term and Forchheimer term to the momentum conservation equation. However, in the momentum conservation equation of the DBF framework, porosity is put outside of the time derivation term, which cannot describe the change of porosity well. Thus, this work changes the expression so that the modified momentum conservation equation can satisfy Newton's second law. The modified framework is called improved DBF framework. Furthermore, based on the improved DBF framework, the thermal DBF framework is given by introducing the energy balance equation to the improved DBF framework. Both of the frameworks are verified by the former works through numerical experiments and chemical experiments in labs. Parallelization to the codes of the complicated frameworks is also realized, and good scalability can be achieved.
