基于无网格法的微生物驱数值模拟

doi:10.7657/XJPG20210212

新疆石油地质 ›› 2021, Vol. 42 ›› Issue (2): 206-212.doi: 10.7657/XJPG20210212

基于无网格法的微生物驱数值模拟

曹琳¹^,²(), 修建龙³(), 黄立信³, 黄峰⁴, 徐云峰⁵, 赵辉⁵, 盛广龙⁵

1.中国科学院大学,北京 100049
2.中国科学院渗流流体力学研究所,河北廊坊 065007
3.中国石油勘探开发研究院,北京 100083
4.中国石油新疆油田分公司重油开发公司,新疆克拉玛依 834000
5.长江大学石油工程学院,武汉 430100

收稿日期:2020-05-21 修回日期:2020-07-01 出版日期:2021-04-01 发布日期:2021-04-02
通讯作者: 修建龙 E-mail:caolin0110@sina.com;xiujianlong69@petrochina.com.cn
作者简介:曹琳（1983-）,女,山东东营人,博士研究生,油气田开发,（Tel）18674093979（E-mail） caolin0110@sina.com
基金资助:
中国石油科学研究与技术开发项目(2016B-1106)

Meshless Method-Based Numerical Simulation of Microbial Flooding

CAO Lin¹^,²(), XIU Jianlong³(), HUANG Lixin³, HUANG Feng⁴, XU Yunfeng⁵, ZHAO Hui⁵, SHENG Guanglong⁵

1. University of Chinese Academy of Sciences, Beijing 100049, China
2. Institute of Porous Flow and Fluid Mechanics, Chinese Academy of Sciences, Langfang, Hebei 065007, China
3. Research Institute of Exploration and Development, PetroChina, Beijing 100083, China
4. Heavy Oil Development Company, Xinjiang Oilfield Company, PetroChina, Karamay, Xinjiang 834000, China
5. School of Petroleum Engineering, Yangtze University, Wuhan, Hubei 430100, China

Received:2020-05-21 Revised:2020-07-01 Online:2021-04-01 Published:2021-04-02
Contact: XIU Jianlong E-mail:caolin0110@sina.com;xiujianlong69@petrochina.com.cn

摘要/Abstract

摘要：

微生物驱具有成本低、施工工艺简单和环保的优点,成为备受关注的提高采收率技术。微生物驱机理相对复杂,目前常用的有限差分和有限元等数值计算方法,计算效率较低,且精度受网格划分影响较大。基于加权最小二乘法,将无网格法用于微生物驱数值模拟,并将无网格法求解结果与传统有限差分法计算结果对比,结果表明无网格法在保证相同计算精度的同时,计算效率提高了62%。此外,分析了微生物驱数值模拟中无网格法的稳定性,布点密度、节点影响域和权函数等关键参数对模拟结果和精度具有一定影响。在边长为100 m的方形油藏区域,采用9×9均匀布点方案,影响域为以3倍节点间距为半径的圆形和GAUSS权函数时,能够在保证计算精度的前提下取得最高计算效率。基于无网格法的微生物驱数值模拟可高效、灵活地实现微生物驱机理分析。

关键词: 微生物驱, 数值模拟, 无网格法, 有限差分法, 布点方案, 权函数, 计算效率, 精度

Abstract:

With advantages such as low cost, easy operation and friendly to environment, microbial flooding has become an EOR technology attracting more attention. The mechanism of microbial flooding is relatively complicated. The commonly-used numerical calculation methods such as finite difference and finite element are ineffective and their accuracy is greatly affected by meshing. Based on the weighted least square method, a meshless method was used for numerical simulation of microbial flooding, and the results of the meshless method were compared with those of the traditional finite difference method. The results show that the meshless method can increase the calculating efficiency by 62% while ensuring the same accuracy. In addition, the analysis to the stability of the meshless method indicates that there exist some influences of key parameters, such as density and influence domain of the mesh points and weight function on the simulation result and its accuracy. In a square reservoir area with a side of 100 m long, if a 9×9 uniform points pattern is used, the influence domain is a circle defined on the radius which is 3 times the point spacing, and a GAUSS weight function formula is used, the maximum calculating efficiency can be achieved while ensuring the calculating accuracy by using the meshless method. The numerical simulation of microbial flooding using the meshless method is effective and flexible in analyzing the mechanism of microbial flooding.

Key words: microbial flooding, numerical simulation, meshless method, finite difference method, meshing scheme, weight function, calculating efficiency, accuracy

中图分类号:

TE327

曹琳, 修建龙, 黄立信, 黄峰, 徐云峰, 赵辉, 盛广龙. 基于无网格法的微生物驱数值模拟[J]. 新疆石油地质, 2021, 42(2): 206-212.

CAO Lin, XIU Jianlong, HUANG Lixin, HUANG Feng, XU Yunfeng, ZHAO Hui, SHENG Guanglong. Meshless Method-Based Numerical Simulation of Microbial Flooding[J]. Xinjiang Petroleum Geology, 2021, 42(2): 206-212.

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基于无网格法的微生物驱数值模拟

Meshless Method-Based Numerical Simulation of Microbial Flooding

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