基于Matlab PDETOOL的水电模拟实验电场数值模拟  

Numerical Simulation of Electric Field in Hydroelectric Simulation Experiment Based on Matlab PDETOOL

作　　者：苏关东 赵兰苓[2] 张鹏[2] 孙德永[1] 顾勋 韩贝宇 

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

出　　处：《实验室研究与探索》2017年第10期123-126,144,共5页Research and Exploration In Laboratory

基　　金：中国石油大学基础研究基金(2462015YQ0604);国家级大学生创新创业训练计划支持项目:水电相似实验的仿真模拟(项目批准号:201611414019)

摘　　要：在水电模拟实验过程中,为了减少实验及数据处理的工作量,节约实验的时间和器材成本,更直观的显示实验过程中的电场分布情况,在水电模拟实验测量电势分布的环节引入数值模拟技术:以拉普拉斯方程为基础建立了描述实验过程中电场中电势分布的数学模型,并介绍了基于Matlab的该模型的求解方法,得到了较好的可视化仿真效果。通过与实验测得的电势分布比较,说明了数值模拟方法的可行性、准确性以及相对于实验方法的优势:可视化效果好,操作简单易行,节约大量实验材料及实验时间,有利于对电场分布的整体把握,具有广阔的推广前景。In order to reduce the workload during the experiment conduction, simplify the data processing and decline the cost of hydropower simulation experiment, the numerical simulation technique is introduced to visualize its potential distribution. Firstly, a mathematical model describing the electric field distribution in the experiment is established based on the Laplace equation, and then a procedure to solve the mathematical model with the implementation of Matlab PDETOOL is presented, a preferable visual solution which reveals the potential distributions of different geometry models with different well types is finally obtained. The feasibility of numerical simulation and its advantages over the physical experimental method are therefore demonstrated by comparison. In conclusion, a satisfying visualization for the potential distribution during the hydropower simulation experiment can be realized with a simple operation on Matlab PDETOOL. The method has a broad prospect of popularization in both classroom and laboratory.

关 键 词：水电模拟实验 数值模拟 电场仿真 拉普拉斯方程 偏微分方程 

分 类 号：TE319[石油与天然气工程—油气田开发工程] O441.4[理学—电磁学]