考虑启动压力和应力敏感效应的低渗、特低渗油藏数值模拟研究
王 敬1,刘慧卿1,刘仁静2,徐 杰3
(1. 中国石油大学 石油工程教育部重点实验室,北京 102249;2. 中国石化国际石油勘探开发有限公司,北京 100083;
3. 中国石化胜利油田分公司,山东 东营 257001)
NUMERICAL SIMULATION FOR LOW-PERMEABILITY AND
EXTRA-LOW PERMEABILITY RESERVOIRS WITH CONSIDERING STARTING PRESSURE AND STRESS SENSITIVITY EFFECTS
WANG Jing1,LIU Huiqing1,LIU Renjing2,XU Jie3
(1. Key Laboratory of Ministry of Education of Petroleum Engineering,China University of Petroleum,Beijing 102249,China;
2. International Petroleum Exploration and Production Corporation,SINOPEC,Beijing 100083,China;
3. Shengli Oilfield,SINOPEC,Dongying,Shandong 257001,China)
摘要 为了综合反映启动压力和应力敏感对低渗透油藏开发规律的影响,首先,通过室内实验研究低渗透岩芯启动压力梯度和应力敏感效应,并建立启动压力梯度和动态渗透率的动力学模型;在此基础上,根据质量守恒定律和渗流力学理论,建立同时考虑启动压力和应力敏感效应的低渗透油藏油水两相渗流数学模型,据此研制低渗透油藏水驱数值模拟软件;然后,利用该软件研究不同特征对渗流场、开发规律的影响以及启动压力和应力敏感对开发效果的影响;最后,研究超前注水、增大注采比、增大注采速度对采收率的影响规律,并优化最佳注入参数。研究结果表明,启动压力梯度是低渗透油藏采收率较低的直接原因,应力敏感通过强化启动压力梯度的方式间接影响采收率;超前注水、增大注采比和增大注采速度均可以提高低渗透油藏采收率,提高幅度为:超前注水>增大注采比>增大注采速度;最佳超前注水时间为100 d,最佳注采比为1.1∶1,最佳注入速度为0.000 15~0.000 25 PV/d。
关键词 :
石油工程 ,
低渗透油藏 ,
启动压力梯度 ,
应力敏感 ,
数值模拟 ,
数学模型
Abstract :In order to reflect the influences of starting pressure and stress sensitivity on the development law of low-permeability reservoirs,the following researches are conducted. Firstly,the dynamics models of threshold pressure gradient and dynamic permeability are established based on the experimental results of threshold pressure gradient and stress sensitivity effects. Based on this,the mathematical model of water-flooding in low-permeability reservoir with considering the starting pressure and stress sensitivity is established according to the law of conservation of mass and permeation fluid mechanics theories. Also,the corresponding numerical simulation software is developed. Then,the software is used to study the influences of different features on the seepage field and development law,and the effects of starting pressure and stress sensitivity on development effect. At last,the influences of advanced water flooding,increasing injection-production ratio and increasing injection-production rate on recovery are investigated by numerical simulation method. Simultaneously,the best injection parameter is optimized. The results show that:(1) Threshold pressure gradient directly results in the lower recovery of low-permeability reservoirs. Stress sensitivity indirectly affects the recovery by increasing the threshold pressure gradient. (2) All the measures of advanced water flooding,increasing injection-production ratio and increasing injection-production rate can enhance oil recovery of low-permeability reservoirs. And the order of the enhancing extent is:advanced water flooding>increasing injection-production ratio>increasing injection-production rate. (3) The optimal time of advanced water flooding is 100 d,the optimal value of injection-production ratio is 1.1∶1,and the optimal value of injection-production rate is 0.000 15~0.000 25 PV/d.
Key words :
petroleum engineering
low-permeability reservoir
threshold pressure gradient
stress sensitivity
numerical simulation
mathematical model
收稿日期: 2012-07-19
引用本文:
王 敬1,刘慧卿1,刘仁静2,徐 杰3. 考虑启动压力和应力敏感效应的低渗、特低渗油藏数值模拟研究[J]. 岩石力学与工程学报, 2013, 32(s2): 3317-3327.
WANG Jing1,LIU Huiqing1,LIU Renjing2,XU Jie3. NUMERICAL SIMULATION FOR LOW-PERMEABILITY AND
EXTRA-LOW PERMEABILITY RESERVOIRS WITH CONSIDERING STARTING PRESSURE AND STRESS SENSITIVITY EFFECTS. , 2013, 32(s2): 3317-3327.
链接本文:
https://rockmech.whrsm.ac.cn/CN/Y2013/V32/Is2/3317
[1] 李 洋,雷 群,刘先贵,等. 微尺度下的非线性渗流特征[J]. 石油勘探与开发,2011,38(3):336–340.(LI Yang,LEI Qun,LIU Xiangui,et al. Characteristics of micro scale nonlinear filtration[J]. Petroleum Exploration and Development,2011,38(3):336–340.(in Chinese))
[2] 李松泉,程林松,李秀生,等. 特低渗透油藏非线性渗流模型[J]. 石油勘探与开发,2008,35(5):606–612.(LI Songquan,CHENG Linsong,LI Xiusheng,et al. Nonlinear seepage flow models of ultra-low permeability reservoirs[J]. Petroleum Exploration and Development,2008,35(5):606–612.(in Chinese))
[3] 熊 伟,雷 群,刘先贵,等. 低渗透油藏拟启动压力梯度[J]. 石油勘探与开发,2009,36(2):232–236.(XIONG Wei,LEI Qun,LIU Xiangui,et al. Pseudo threshold pressure gradient to flow for low permeability reservoirs[J]. Petroleum Exploration and Development,2009,36(2):232–236.(in Chinese))
[4] LEI Q,XIONG W,YUAN J R,et al. Behavior of flow through low-permeability reservoirs[C]. Europec/EAGE Conference and Exhibition. [S. l.]:[s. n.],2008:1–7.
[5] 杨仁锋,姜瑞忠,刘世华,等. 特低渗透油藏非线性渗流数值模拟[J]. 石油学报,2011,32(2):299–306.(YANG Renfeng,JIANG Ruizhong,LIU Shihua,et al. Numerical simulation of nonlinear seepage in ultra-low permeability reservoirs[J]. Acta Petrolei Sinica,2011,32(2):299–306.(in Chinese))
[6] 邓英尔,刘慈群. 低渗油藏非线性渗流规律数学模型及其应用[J]. 石油学报,2001,22(4):72–77.(DENG Yinger,LIU Ciqun. Mathematical model of nonlinear flow law in low permeability porous media and its application[J]. Acta Petrolei Sinica,2001,22(4):72–77.(in Chinese))
[7] 杨正明,于荣泽,苏致新,等. 特低渗透油藏非线性渗流数值模拟[J]. 石油勘探与开发,2010,37(1):94–98.(YANG Zhengming,YU Rongze,SU Zhixin,et al. Numerical simulation of the nonlinear flow in ultra-low permeability reservoirs[J]. Petroleum Exploration and Development,2010,37(1):94–98.(in Chinese))
[8] 尹芝林,孙文静,姚 军. 动态渗透率三维油水两相低渗透油藏数值模拟[J]. 石油学报,2011,32(1):117–121.(YIN Zhilin,SUN Wenjing,YAO Jun. Numerical simulation of the 3D oil-water phase dynamic permeability for low-permeability reservoirs[J]. Acta Petrolei Sinica,2011,32(1):117–121.(in Chinese))
[9] 韩洪宝,程林松,张明禄,等. 特低渗油藏考虑启动压力梯度的物理模拟及数值模拟方法[J]. 中国石油大学学报:自然科学版,2004,28(6):49–53.(HAN Hongbao,CHENG Linsong,ZHANG Minglu,et al. Physical simulation and numerical simulation of ultra-low permeability reservoir in consideration of starting pressure gradient[J]. Journal of China University of Petroleum:Natural Science,2004,28(6):49–53.(in Chinese))
[10] 程远方,智勤功,赵益忠,等. 应力敏感油藏压裂井产量动态规律研究[J]. 应用基础与工程科学学报,2010,18(2):291–298.(CHENG Yuanfang,ZHI Qingong,ZHAO Yizhong,et al. The research on stress sensitive reservoir fracture well production dynamic rule[J]. Journal of Basic Science and Engineering,2010,18(2):291–298.(in Chinese))
[11] 于忠良,熊 伟,高树生,等. 致密储层应力敏感性及其对油田开发的影响[J]. 石油学报,2007,28(4):96–98.(YU Zhongliang,XIONG Wei,GAO Shusheng,et al. Stress sensitivity of tight reservoir and its influence on oilfield development[J]. Acta Petrolei Sinica,2007,28(4):96–98.(in Chinese))
[12] 刘仁静,刘慧卿,张红玲,等. 低渗透储层应力敏感性及其对石油开发的影响[J]. 岩石力学与工程学报,2011,30(增1):2 697–2 702. (LIU Renjing,LIU Huiqing,ZHANG Hongling,et al. Study of stress sensitivity and its influence on oil development in low permeability reservoir[J]. Chinese Journal of Rock Mechanics and Engineering,2011,30(Supp.1):2 697–2 702.(in Chinese))
[13] 郝 斐,程林松,李春兰,等. 特低渗透油藏启动压力梯度研究[J]. 西南石油学院学报,2006,28(6):29–32.(HAO Fei,CHENG Linsong,LI Chunlan,et al. Study on threshold pressure gradient in ultra-low permeability reservoir[J]. Journal of Southwest Petroleum Institute,2006,28(6):29–32.(in Chinese))
[14] 吕成远,王 建,孙志刚. 低渗透砂岩油藏渗流启动压力梯度实验研究[J]. 石油勘探与开发,2002,29(2):86–89.(LU Chengyuan, WANG Jian,SUN Zhigang. An experimental study on starting pressure gradient of fluids flow in low permeability sandstone porous media[J]. Petroleum Exploration and Development,2002,29(2): 86–89.(in Chinese))
[15] 汪全林,唐 海,吕栋梁,等. 低渗透油藏启动压力梯度实验研究[J]. 油气地质与采收率,2011,18(1):97–100.(WANG Quanlin,TANG Hai,LU Dongliang,et al. An experimental study on threshold pressure gradient in low permeability reservoir[J]. Petroleum Geology and Recovery Efficiency,2011,18(1):97–100.(in Chinese))
[16] 王道富,李忠兴,赵继勇,等. 低渗透油藏超前注水理论及其应用[J]. 石油学报,2007,28(6):78–83.(WANG Daofu,LI Zhongxing,ZHAO Jiyong,et al. Advance water-flooding theory for low-permeability reservoirs and its application[J]. Acta Petrolei Sinica,2007,28(6):78–83.(in Chinese))
[17] 车起君,雷均安,冉玉霞,等. 超前注水提高特低渗透油田开发效果[J]. 大庆石油地质与开发,2003,22(1):20–22.(CHE Qijun,LEI Jun?an,RAN Yuxia,et al. Effects of advanced water flooding in extra-low permeability oilfield development[J]. Petroleum Geology and Oilfield Development in Daqing,2003,22(1):20–22.(in Chinese))
[1]
贺 鹏1,王 彬1,刘 宁2*,麻正虎1,高要辉2,刘珂鑫1. 基于自动化参数建模与迭代优化的隧洞智能支护设计平台研发与应用 [J]. 岩石力学与工程学报, 2026, 45(4): 1199-1216.
[2]
张 昭1,2*,马 浩1,张 钊3,张远傲1,郑弘林1,周子豪1. 基于水动力学的粗粒反滤料排水减压性能判别公式及其应用 [J]. 岩石力学与工程学报, 2026, 45(3): 918-932.
[3]
余乔娟1,2,杜时贵1,张泽平1,刘广建1,罗战友1*,吕原君1. 考虑裂纹扩展机制的花岗岩单轴压缩实验室尺寸效应研究 [J]. 岩石力学与工程学报, 2026, 45(2): 412-431.
[4]
王驰宇1,王彤标2,谢亚辰3,廖建兴1,2*,周 庆1. 干热岩裂隙剪切渗流试验与增强型地热系统热性能数值评估研究 [J]. 岩石力学与工程学报, 2026, 45(2): 578-593.
[5]
刘殷彤1,2,毛灵涛2,3,程建超1,张 辽1,侯孟冬1,毛婷婷1,王帅雄1,刘升贵1,薛东杰1,2,3,4*. 岩石粗糙裂隙渗流逾渗机制 [J]. 岩石力学与工程学报, 2026, 45(1): 118-143.
[6]
贾 胜1,张 村1,2,3*,吴润泽1,史 媛1,张 通2. 基于纳米CT扫描重构的含水层砂岩流–固耦合分析 [J]. 岩石力学与工程学报, 2026, 45(1): 144-154.
[7]
邱 豪1,张文康1,廖飞宇1,刘 杰2,周 磊3,郑居焕4* . 不同倾斜界面的高强砂浆–花岗岩试件动态裂纹扩展行为研究 [J]. 岩石力学与工程学报, 2026, 45(1): 79-98.
[8]
任 宇1,马克超2,刘飞禹2*. 位移幅值和频率对残积土–混凝土界面循环剪切特性的影响 [J]. 岩石力学与工程学报, 2026, 45(1): 287-297.
[9]
张 昭1,2,马 浩1,祝良玉3,张 钊1,周子豪1,张远傲1,文艺龙1. 考虑颗粒不均匀影响的土体迂曲度计算公式及其应用 [J]. 岩石力学与工程学报, 2025, 44(8): 2178-2190.
[10]
陈军涛1,2,3,喻军健1,2,李 果1,3,徐常龙1,2,范铭今1,3,王云昊1,3,焦 斌1,3. 含不同裂隙数量砂岩注浆前后力学特性试验研究 [J]. 岩石力学与工程学报, 2025, 44(7): 1767-1781.
[11]
杨 超1,2,李天一1,2,王 娇1,2,蒋淏南2,熊 赟2,3,潘惠雄3. 浸水作用下灰岩缝合线剪切强度劣化机制及等效模拟方法 [J]. 岩石力学与工程学报, 2025, 44(6): 1438-1449.
[12]
张 宁1,2,周 辉1,2,高 阳1,2,朱 勇1,2,卢景景1,2,赵成伟1,2,程广坦3. 深埋走滑断层错动作用下岩体变形特征及其受地应力的影响 [J]. 岩石力学与工程学报, 2025, 44(6): 1500-1513.
[13]
白晓宇,张英杰,吴泽坤,孙 淦,刘俊伟,闫 楠. GFRP筋微型抗拔桩承载性能与荷载传递机制 [J]. 岩石力学与工程学报, 2025, 44(6): 1624-1635.
[14]
孙书伟1,杨肇熙1,贾培智1,王晓龙1,李国君2. 煤矿地下采空区沉陷诱发边坡破坏机制研究 [J]. 岩石力学与工程学报, 2025, 44(6): 1405-1419.
[15]
杨百存1,关星凡1,郭 安2,王志鹏1,赵 杰1,张耀义1. 锁固型斜坡解锁失稳机制的室内模型试验与数值分析 [J]. 岩石力学与工程学报, 2025, 44(5): 1122-1132.