油藏数值模拟中的线性解法器  

LINEAR SOLVERS FOR PETROLEUM RESERVOIR SIMUILATION

作　　者：张晨松 Zhang Chensong(LSEC,NCMIS,Institute of Computational Mathematics,Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,China)

机构地区：[1]中国科学院数学与系统科学院,计算数学研究所国家数学与交叉科学中心,科学与工程计算国家重点实验室,北京100190

出　　处：《数值计算与计算机应用》2022年第1期1-26,共26页Journal on Numerical Methods and Computer Applications

基　　金：科技部国家重点研发计划项目2020YFA0711904;国家自然科学基金面上项目11971472的支持

摘　　要：中国的含油气地层分布广泛,但地质结构复杂,天然能量不足,开采难度高.油藏数值模拟方法与软件是油藏工程师对油藏进行分析和管理的重要工具,是油气藏开发后期确定剩余油分布、挖掘生产潜力和提高采收率的主要手段之一.精细地质模型可以达到很高的空间分辨率,导致网格数目巨大,模拟难度大、代价高,这给数值算法研究带来很多新挑战.本文以一个简化组分模型为例,简单介绍了其数学模型、离散方法、求解方法、并行计算和软件实现,其中着重介绍了几种被工业级软件采用的预条件方法和解耦方法.The oil-and gas-bearing formations are widely distributed in China,but the geological structure is complex and the natural energy is usually not sufficient.Numerical simulation methods and software are important tools for reservoir engineers to analyze and manage reservoirs and are among the main tools for determining the remaining oil distribution and enhancing oil/gas recovery ratios in the late stage of reservoir development.The fine geolog-ical models increase the spatial resolution,leading to a huge number of grid cells and costly simulation runs,which present many new challenges to numerical algorithms.In this paper,we briefly introduce a simplified composition model,its mathematical model,discretization methods,solution methods,parallel computation,and implementation,with emphasis on several preconditioning and decoupling methods now adopted by commercial and industrial software.

关 键 词：油藏模拟 全隐式方法 半隐式方法 迭代解法 多阶段预条件:解耦方法 

分 类 号：TE319[石油与天然气工程—油气田开发工程]