基于有限差分的油水兩相渗流方程求解油藏数值模拟毕业设计稿
本 科 毕 业 设 计(论文)
基于有限差分的油水两相渗流方程求解
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06 月 20 日
摘 要
为了保证油藏的稳定产油量以及最终采收率，以获得最大的经济效益，必须对油藏的压力以及饱和度等参数进行监控，因而需要对油藏进行模拟，以确定合适的开采时间、注水量、开采速度等问题，因而油藏数值模拟对于提高油田效益是至关紧要的。油水两相渗流方程描述了原油开发过程中的油水两相流动过程，是一对耦合的偏微分方程，针对这组方程采用有限差分方法实现其数值求解，以对油藏的压力、饱和度进行即时监控。本文应用隐式压力——显式饱和度解法(IMPES方法)来对油藏油水两相一维渗流进行模型建立与求解，这一方法来自于Sheldon等人，以及Stone和Gardner的著作，基本思想是合并流体方程得到一个只含有压力的方程，某一时间步的压力求解出来后，饱和度采用显式更新。经过Matlab编写程序，实现对一维油水两相渗流方程的数值求解。
关键词：油水两相；有限差分；压力；含水饱和度；油藏模拟
ABSTRACT
Displacing oil by water is always used in the exploitation of the oil reservoir. In order to obtain the maximum economic benefits, the parameters of reservoir pressure and saturation should be monitored to ensure the stability of oil production and the ultimate recovery of the reservoir. Thus the reservoir must be simulated so as to determine the appropriate recovery time, water injection rate and recovery rate. It is necessary to establish the oil-water two-phase flow model for the oil-water two-phase flow equation, coupled partial differential equations, can describe the oil-water two-phase flow in the process of crude oil development. Achieving the numerical solution according to this group of equations and using the finite-difference method can do real time monitoring for reservoir pressure and saturation so that appropriate measures could be taken to ensure the mining of oil production in high efficiency and sustainable. In this thesis, implicit pressure-explicit saturation solution (IMPES method) which is invented by Sheldon, etc. and from works of Stone’s and Gardner’s is applied for the building and solving of reservoir’s one-dimensional water-oil two-phase seepage model. TThe basic idea is combining the fluid equations to achieve a equation which contains only the pressure. After solving the pressure at the very time and step, the saturation will be displayed updated. Writing programs through Matlab, one-dimensional wat
