基于Matlab PDETOOL的渗流力学可视化教学与上机实验  

Visual Teaching and Computer-based Experiment of Fluid Flow in Porous Media with PDETOOL of Matlab

作　　者：苏关东 顾勋 赵兰苓[2] 孙德永[1] 韩贝宇 陈林辉[3] 

机构地区：[1]中国石油大学(北京)石油工程学院,北京102249 [2]中国石油大学(北京)理学院,北京102249 [3]新疆医科大学基础医学院,乌鲁木齐830011

出　　处：《实验室研究与探索》2017年第8期137-142,160,共7页Research and Exploration In Laboratory

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)

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.

关 键 词：PDE工具箱 渗流力学 偏微分方程 数值模拟 可视化 教学 

分 类 号：TE312[石油与天然气工程—油气田开发工程] O242.1[理学—计算数学]