基于Matlab PDETOOL的渗流力学可视化教学与上机实验

发布时间：2018-08-06 13:08

【摘要】：为提高渗流力学的课堂效率,针对渗流力学学科自身的特点及其在教学实践中普遍存在的问题,提出了将Matlab PDE工具箱引入课堂的教学方法:介绍了利用Matlab中的PDE工具箱(PDETOOL)对渗流力学中经典数学模型进行求解的方法和步骤,归纳了常见的油气渗流数学模型和边界条件,并利用PDETOOL对渗流力学中一源一汇、两源两汇、稳定渗流、弹性不稳定渗流等经典的模型进行了数值模拟,实现了各经典渗流模型压力场、流场的可视化,有利于帮助学生理解流函数、压力波、导压系数等抽象概念,加深学生对压力波传播,不稳定渗流压力衰竭等抽象过程的感性认识,提升学生上课的兴趣和热情;同时提出了在渗流力学教学过程中增设上机实验内容的教学建议,充分发挥可视化教学的优势,为数值模拟、油藏工程等课程打基础,使学生对石油工程整个专业的知识体系产生宏观的认识,提高教学质量。
[Abstract]:In order to improve the classroom efficiency of seepage mechanics, aiming at the characteristics of seepage mechanics discipline and the common problems in teaching practice, The teaching method of introducing Matlab PDE toolbox into classroom is put forward. The method and steps of solving the classical mathematical model in seepage mechanics by PDE toolbox (PDETOOL) in Matlab are introduced, and the common mathematical models and boundary conditions of oil and gas seepage are summarized. The classical models of seepage mechanics, such as one source, one sink, two sources and two sinks, steady seepage and elastic unstable seepage are numerically simulated by PDETOOL. The visualization of pressure field and flow field of each classical seepage model is realized. It is helpful to help students understand abstract concepts such as stream function, pressure wave and pressure conductivity, deepen students' perceptual understanding of abstract processes such as pressure wave propagation, unstable seepage and pressure exhaustion, and promote students' interest and enthusiasm in class. At the same time, it puts forward the teaching suggestion of adding computer experiment content in the course of seepage mechanics teaching, giving full play to the advantages of visual teaching, and laying the foundation for the courses of numerical simulation and reservoir engineering, etc. Make students to the whole knowledge system of petroleum engineering produce macroscopic understanding, improve teaching quality.
【作者单位】：中国石油大学(北京)石油工程学院;中国石油大学(北京)理学院;新疆医科大学基础医学院;
【基金】：国家级大学生创新创业训练计划支持项目(201611414019) 中国石油大学基础研究基金(2462015YQ0604)
【分类号】：G434;TE312-4

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