二元复合驱数值模拟隐格式和应用

J4 ›› 2010, Vol. 45 ›› Issue (8): 19-26.

二元复合驱数值模拟隐格式和应用

杨耀忠1,2,鲁统超3*, 戴涛4, 席开华3, 于金彪4, 任永强3, 程爱杰3

1.中国石化胜利油田分公司开发处, 山东东营 257015; 2.中国地质大学（北京）能源学院，北京 100083;
3.山东大学数学学院, 山东济南 250100； 4.中国石化胜利油田地质科学研究院，山东东营 257015

收稿日期:2010-05-06 出版日期:2010-08-16 发布日期:2010-09-16
通讯作者: 鲁统超(1964-),男,教授,研究方向为偏微分方程数值解.
作者简介:杨耀忠(1966-),男,教授,研究方向为油藏数值模拟. Email:yangyz@slof.com
基金资助:
国家科技重大专项资助课题(2008ZX05011-004)

An implicit scheme for numerical simulation of binary combination flooding and application

YANG Yao-zhong1,2, LU Tong-chao3*, DAI Tao4, XI Kai-hua3, YU Jin-biao4, REN Yong-qiang3, CHENG Ai-jie3

1. Development Section of Shengli Oilfield Branch Company， Sinopec, Dongying 257001, Shandong, China;
2. School of Energy Resource, China University of Geoscience, Beijing 100083 China;
3. School of Mathematics, Shandong University, Jinan 250100, Shandong, China;
4. Geological Science Research Institute of Shengli Oilfield Branch Company, Sinopec, Dongying 257015, China

Received:2010-05-06 Online:2010-08-16 Published:2010-09-16

摘要/Abstract

摘要：

研究化学采油中聚合物-表面活性剂二元复合驱数值模拟问题。数学模型包含压力方程、组分浓度方程以及基于水相组分浓度方程形成的水相饱和度方程。提出了一种隐式顺序解法。先隐式求解压力方程,再隐式求解水相饱和度方程, 最后隐式求解组分浓度方程; 通过聚合物驱和二元复合驱模拟,对该隐式算法与传统的隐式压力-显式浓度算法进行了比较。该隐式算法稳定性好,提高计算效率大约30％。

关键词: 油藏模拟;二元复合驱;显格式;隐格式;矿场模拟试验

Abstract:

The problem of incompressible immiscible two phase displacement with multi-components in porous media, which arises from chemical flooding in oil recovery, is considered. Mathematical model including pressure equation, concentration equation for components and saturation equation for water phase arising from conservation of components in water phase is provied. A sequential implicit difference scheme is established. Some typical simulation experiments are implemented for polymer-surfactant flooding. The proposed implicit method is more stable and efficient than the traditional methods of implicit-pressure-explicit-concentration.

Key words: petroleum simulation; explicit scheme; implicit scheme; field simulation experiment

杨耀忠1,2,鲁统超3*, 戴涛4, 席开华3, 于金彪4, 任永强3, 程爱杰3. 二元复合驱数值模拟隐格式和应用[J]. J4, 2010, 45(8): 19-26.

YANG Yao-zhong1,2, LU Tong-chao3*, DAI Tao4, XI Kai-hua3, YU Jin-biao4, REN Yong-qiang3, CHENG Ai-jie3. An implicit scheme for numerical simulation of binary combination flooding and application[J]. J4, 2010, 45(8): 19-26.

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