油藏油水两相流低阶模型算法  

A Low-Order Model Method for 2-Phase Oil Reservoir Simulation

作　　者：贾欣鑫 王雷 张浩 孙小玲 段利亚 王鑫[1] JIA Xinxin;WANG Lei;ZHANG Hao;SUN Xiaoling;DUAN Liya;WANG Xin(Institute of Oceanographic Instrumentation,Qilu University of Technology(Shandong Academy of Sciences),Qingdao,Shandong 266061,P.R.China)

机构地区：[1]齐鲁工业大学(山东省科学院)海洋仪器仪表研究所,山东青岛266061

出　　处：《应用数学和力学》2021年第9期891-899,共9页Applied Mathematics and Mechanics

基　　金：国家自然科学基金(61702308,51504146);山东省重大科技创新工程(2018YFJH0705)。

摘　　要：目前,油藏数值模拟主要采用的方法如有限元方法、有限容积法等在油藏数值计算时均需要较长的计算时间,很大程度上限制了油藏注采的实时预测与快速动态模拟.该文以一种高效的数据处理方法(最佳正交分解(POD)方法)为基础,对油藏油、水两相流抽取特征函数,并对油藏两相流模型进行Galerkin投影得到新的低阶计算模型.数值计算表明,POD方法所得到的特征向量能量具有最优的特征,能以较少的特征向量捕捉到数学模型中较大的“能量”,因此能最大限度地描述油藏的特征(压力、饱和度),对油藏偏微分方程模型起到较好的降阶作用.结论表明,低阶模型的计算结果与隐压显饱(IMPES)所得计算结果吻合较好,且能节省更多的计算时间,因此能较好地在油藏注采数值模拟中进行历史拟合与仿真计算.At present,the main methods used in reservoir numerical simulation,such as the finite element method and the finite volume method,require long calculation times,which limit their implementation in the real-time prediction and the reservoir production.An efficient data-processing method that based on the POD(proper orthogonal decomposition)was proposed to obtain the empirical coefficients and eigenfunctions of the oil-water 2-phase flow in the reservoir,and build a new low-order Galerkin calculation model.The numerical calculation indicates that,with the POD,the calculated eigenvector energy has proper features.Only a small number of eigenvalues can capture most of the energy,completely describe the reservoir characteristics(pressure,saturation),and help reduce the order of the partial differential equations.The calculation results of the low-order model are in good agreement with those from the IMPES,with much time saved.The proposed method applies well to history matching in numerical simulation of reservoir injection and production.

关 键 词：油藏数值模拟 低阶模型 油水两相 最佳正交分解 

分 类 号：TK121[动力工程及工程热物理—工程热物理]