基于Matlab PDETOOL的渗流力学可视化教学与上机实验
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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。
In order to improve the classroom efficiency and the teaching quality of the course of fluid flow in porous media,the teaching method of introducing Matlab PDETOOL into the classroom is put forward,and the method and steps to solve the classical mathematical model in fluid flow in porous media with the PDE toolbox in Matlab are introduced,according to the characteristics of the subject of fluid flow in porous media and the problems in teaching practice. The PDETOOL is used to simulate the classical models of fluid flow in porous media such as source-sink,source-sink,steady-flow,and elastic-unsteady flow in porous media. It helps students understand the abstract concepts of stream function,pressure wave and conductivity coefficient,enhances students' perceptual knowledge of the process of the propagation of pressure wave and unsteady flow in porous media. At the same time,it is suggested to add computer-based experiment to the teaching process of fluid flow in porous media. On conclusion,this study will lay a foundation for the course of numerical simulation and reservoir engineering,so that the students will have a macroscopicunderstanding of the whole knowledge system of petroleum engineering.
In order to improve the classroom efficiency and the teaching quality of the course of fluid flow in porous media,the teaching method of introducing Matlab PDETOOL into the classroom is put forward,and the method and steps to solve the classical mathematical model in fluid flow in porous media with the PDE toolbox in Matlab are introduced,according to the characteristics of the subject of fluid flow in porous media and the problems in teaching practice. The PDETOOL is used to simulate the classical models of fluid flow in porous media such as source-sink,source-sink,steady-flow,and elastic-unsteady flow in porous media. It helps students understand the abstract concepts of stream function,pressure wave and conductivity coefficient,enhances students' perceptual knowledge of the process of the propagation of pressure wave and unsteady flow in porous media. At the same time,it is suggested to add computer-based experiment to the teaching process of fluid flow in porous media. On conclusion,this study will lay a foundation for the course of numerical simulation and reservoir engineering,so that the students will have a macroscopicunderstanding of the whole knowledge system of petroleum engineering.
引文
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[13]冯桂莲.偏微分方程的MATLAB数值解法及可视化[J].计算机技术与发展,2013,23(12):120-123.
[14]李明.偏微分方程的MATLAB解法[J].湖南农机,2010,37(5):89-91.
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[17]程林松.渗流力学[M].北京:石油工业出版社,2011:1-23.
[18]董平川,韩德金,牛彦良,等.油藏多相渗流的面向对象有限元程序设计[J].岩土力学,2009,30(4):1115-1121.
[2]袁迎中,戚志林,严文德,等.“渗流力学”课程创新思维教学方法探索[J].中国地质教育,2014(2):60-62.
[3]陈军斌.“油气渗流力学”课程教学改革的研究与实践[J].石油教育,2016(3):32-35.
[4]张哲任,徐政,徐韬,等.采用有限体积法的特高压直流输电系统接地极稳态温度场仿真分析[J].高电压技术,2012,38(2):328-334.
[5]叶长燊.MATLAB在稳态与动态导热过程分析中的应用[J].计算机与应用化学,2006,23(10):986-990.
[6]张纯静,申龙涉,杜义朋,等.MATLAB PDE工具箱在稠油输送管道中的应用[J].当代化工,2012,41(1):48-49.
[7]马胜,虞青松.MATLAB在模拟煤层气扩散中的应用[J].山西焦煤科技,2012(1):44-45.
[8]黄作英,阙沛文.基于MATLAB的电磁场数值分析[J].计算机工程与应用,2004(36):196-198.
[9]李彤,刘阿龙.基于MATLAB的圆环承受均布压力分析[J].机械工程与自动化,2008(2):14-16.
[10]潘东辉,马崇武.MATLAB/PDE在弹性力学可视化教学中的应用[J].力学与实践,2014,36(4):500-504.
[11]徐勇,李顺才,佟军民.基于MATLAB的平面应力问题研究[J].煤矿机械,2003(10):60-62.
[12]牛宏,梁杏,尼胜楠,等.MATLAB PDE工具箱在地下水科学实验教学中的应用[J].安全与环境工程,2013,20(6):6-11.
[13]冯桂莲.偏微分方程的MATLAB数值解法及可视化[J].计算机技术与发展,2013,23(12):120-123.
[14]李明.偏微分方程的MATLAB解法[J].湖南农机,2010,37(5):89-91.
[15]田兵.用MATLAB解偏微分方程[J].阴山学刊(自然科学版),2006,20(4):12-13.
[16]刘慧卿.油气渗流力学基础[M].北京:中国石油大学出版社,2013:30-47.
[17]程林松.渗流力学[M].北京:石油工业出版社,2011:1-23.
[18]董平川,韩德金,牛彦良,等.油藏多相渗流的面向对象有限元程序设计[J].岩土力学,2009,30(4):1115-1121.