岩性油气藏 ›› 2025, Vol. 37 ›› Issue (4): 184–191.doi: 10.12108/yxyqc.20250417

• 石油工程与油气田开发 • 上一篇    

考虑应力敏感及变井筒储集效应的水平井油气两相流试井模型

聂仁仕1, 张雨晴1, 周杰2, 袁安意2, 蔡明金2, 张焘3, 卢聪1, 曾凡辉1   

  1. 1. 油气藏地质及开发工程全国重点实验室·西南石油大学, 成都 610500;
    2. 中国石油塔里木油田公司勘探开发研究院, 新疆 库尔勒 841000;
    3. 西安三维科技发展有限责任公司, 西安 710021
  • 收稿日期:2024-01-17 修回日期:2025-03-14 发布日期:2025-07-05
  • 第一作者:聂仁仕（1982-），男，博士，教授，主要从事油气藏工程与地下油气渗流力学研究工作。地址：（610500）四川省成都市新都区新都大道8号。Email：nierenshi2000@163.com。
  • 基金资助:
    国家自然科学基金项目“深层页岩压裂人工干预转向多裂缝动态扩展机制”（编号：52374044）和“大数据驱动的深层页岩压裂参数协同优化与实时调控研究”（编号：52374045）联合资助。

Oil-gas two-phase flow well testing model of horizontal well considering stress sensitivity and changing wellbore storage effects

NIE Renshi1, ZHANG Yuqing1, ZHOU Jie2, YUAN Anyi2, CAI Mingjin2, ZHANG Tao3, LU Cong1, ZENG Fanhui1   

  1. 1. National Key Laboratory of Oil & Gas Reservoir Geology and Exploitation, Southwest Petroleum University, Chengdu 610500, China;
    2. Research Institute of Exploration and Development, Tarim Oilfield Company, PetroChina Tarim Oilfield Company, Korla 84100, Xingjiang, China;
    3. Xi'an 3-D Technology Development Co., Ltd., Xi'an 710021, China
  • Received:2024-01-17 Revised:2025-03-14 Published:2025-07-05

PDF (PC)

22

摘要： 考虑具有应力敏感特性的均质储层和井筒流体的变井筒储集效应，建立了水平井油气两相流试井模型，绘制了典型的试井样板曲线，分析了各参数的敏感性。研究结果表明：①运用Laplace变换、Duhamel原理、摄动变换及Stehfest数值反演等数学方法对所建模型进行求解，可获得真实空间中的数值解。②根据该模型得出的试井理论曲线可识别4个主要的流动阶段，即变井储和表皮效应影响段、早期径向流阶段、水平井线性流阶段及晚期拟径向流阶段。③变井筒储集效应主要影响早期渗流段，变井储系数越大总导流能力越强；水平井长度主要影响早期水平井线性流阶段，水平井长度越大泄流面积越大，压力降落幅度越小；应力敏感性主要影响晚期径向流阶段，随应力敏感系数增大渗透率下降幅度增大；含油饱和度越大，油气两相流流动阻力越大。④利用该模型拟合实测压力恢复试井数据，拟合精度高，解释的储层参数和地质认识一致性较好，验证了模型的准确性。

关键词: 应力敏感, 变井筒储集效应, 油气两相流, 渗流方程, 水平井, 试井, 数学模型, 物理模型

Abstract: In consideration of homogeneous reservoirs with stress sensitivity and changing wellbore storage effects of wellbore fluids，oil-gas two-phase flow well testing model of horizontal wells was established， typical well testing sample curves were drawn， and the sensitivity of related parameters was analyzed. The results show that： （1）Applying mathematical methods such as Laplace transform，Duhamel principle，perturbation transform and Stehfest numerical inversion to seek the solution of establied model， numerical solution in real space was obtained.（2）According to well testing theory curves obtained from established model，four main flow stages can be identified： changing well storage and skin effect influence stage，early-time radial flow stage，horizontal well linear flow stage，and late-time pseudo-radial flow stage.（3）Changing wellbore storage effects influence the early-time seepage stage， total conductivity capacity becomes greater as changing wellbore storage coefficient increase. The length of horizontal well influences the early-time linear flow stage， the discharge area enlarges and the bottomhole pressure drop amplitude decreases when the horizontal well becomes longer. The stress sensitivity influence the late-time radial flow stage，as the stress sensitivity coefficient increases，the drop amplitude in permeability also increases. The flow resistance of oil and gas two-phase flow increase while oil saturation become bigger.（4）Using established model to match the measured pressure buildup well testing data，with high fitting accuracy and good consistency between the interpreted reservoir parameters and geological knowledge， the accuracy of the established model is verified.

Key words: stress sensitivity, changing wellbore storage effect, oil-gas two-phase flow, seepage equation, horizontal well, well testing, mathematical model, physical model

中图分类号: 

  • TE312
[1] 苏皓,郭艳东,曹立迎,等.顺北油田断控缝洞型凝析气藏衰竭式开采特征及保压开采对策[J].岩性油气藏,2024,36(5):178-188.SU Hao,GUO Yandong,CAO Liying,et al.Natural depletion characteristics and pressure maintenance strategies of fault controlled fracture-cavity condensate gas reservoirs in Shunbei Oilfield[J].Lithologic Reservoirs,2024,36(5):178-188.
[2] 史英,颜菲,李小波,等.考虑应力敏感疏松砂岩气藏试井分析[J].岩性油气藏,2009,21(3):114-117.SHI Ying,YAN Fei,LI Xiaobo,et al.Well test analysis of unconsolidated sandstone gas reservoir in consideration of stress sensitivity[J].Lithologic Reservoirs,2009,21(3):114-117.
[3] 贾永禄,李允,邓吉彬.具有井筒相分离和层间窜流的层状油藏渗流井底压力精确解[J].西南石油学院学报,1997,19(1):40-44.JIA Yonglu,LI Yun,DENG Jibin.Analytical solution of bottom hole pressure behavior in layered reservoirs with wellbore phase redistribution and crossflow[J].Journal of Southwest Petroleum Institute,1997,19(1):40-44.
[4] 李传亮,朱苏阳.关于应力敏感测试方法的认识误区[J].岩性油气藏,2015,27(6):1-4.LI Chuanliang,ZHU Suyang.Misunderstanding of measuring methods of stress sensibility[J].Lithologic Reservoirs,2015,27(6):1-4.
[5] FAIR W B.Pressure buildup analysis with wellbore phase redistribution[J].SPE Journal,1981,21(2):259-270.
[6] 陈艳芳,赵宏军.低渗气藏变井储试井分析研究[J].油气井测试,2017,26(3):33-35.CHEN Yanfang,ZHAO Hongjun.Well testing analysis and research on variable wellbore storage in low permeability gas reservoir[J].Well Testing,2017,26(3):33-35.
[7] 杨洪志,冯文光,陈友莲.考虑井筒相分离的污染检测试井研究及应用[J].成都理工学院学报,2000,27(2):137-140.YANG Hongzhi,FENG Wenguang,CHEN Youlian.A study on damage test with wellbore phase redistribution and its application[J].Journal of Chengdu University of Technology,2000,27(2):137-140.
[8] PEDROSA O A.Pressure transient response in stress-sensitive formations[R].Oakland,The SPE California Regional Meeting,1986.
[9] 张楠,王晓琴,徐锋,等.启动压力梯度和应力敏感效应对低渗透油藏直井产能的影响[J].特种油气藏,2012,19(1):74-77.ZHANG Nan,WANG Xiaoqin,XU Feng,et al.Effects of kickoff pressure gradient and stress sensitivity on the productivity of vertical wells in low permeability reservoirs[J].Special Oil & Gas Reservoirs,2012,19(1):74-77.
[10] 李准,吴晓东,任允鹏,等.致密储层体积压裂直井瞬态压力计算模型[J].大庆石油地质与开发,2019,38(4):152-159.LI Zhun,WU Xiaodong,REN Yunpeng,et al.Calculating model of the transient pressure for the volume-fractured vertical well in tight reservoirs[J].Petroleum Geology & Oilfield Development in Daqing,2019,38(4):152-159.
[11] 林永学,高书阳,曹耐,等.考虑应力敏感的缝洞型油藏三重介质试井分析理论模型[J].科学技术与工程,2021,21(11):4345-4351.LIN Yongxue,GAO Shuyang,CAO Nai,et al.A theoretical model of triple medium well test analysis for fractured-vuggy reservoirs considering stress sensitivity[J].Science Technology and Engineering,2021,21(11):4345-4351.
[12] 金子一,贾品,程林松,等.深层高产碳酸盐岩油藏试井解释模型及其应用[J].陕西科技大学学报,2022,40(6):108-115.JIN Ziyi,JIA Pin,CHENG Linsong,et al.Well test model and its application in deep high-yield carbonate reservoir[J].Journal of Shaanxi University of Science & Technology,2022,40(6):108-115.
[13] ZHANG Chunyu,CHEN Shijia,ZHU Songbai,et al.Modelling pressure dynamics of oil-gas two-phase flow in double-porosity media formation with permeability-stress sensitivity[J].Scientific Reports,2024,14(1):24418.
[14] 姜瑞忠,张春光,郜益华,等.缝洞型碳酸盐岩油藏水平井分形非线性渗流[J].岩性油气藏,2019,31(6):118-126.JIANG Ruizhong,ZHANG Chunguang,GAO Yihua,et al.Fractal nonlinear seepage model of horizontal wells in fracturedvuggy carbonate reservoirs[J].Lithologic Reservoirs,2019,31(6):118-126.
[15] LIU Hailong.Dynamic analysis of bottom hole pressure of a horizontal well in fracture-cavity reservoirs[J].Environmental Earth Sciences,2022,81(10):1-17.
[16] 孔垂显,巴忠臣,崔志松,等.火山岩油藏压裂水平井应力敏感产能模型[J].岩性油气藏,2021,33(4):166-175.KONG Chuixian,BA Zhongchen,CUI Zhisong,et al.Stresssensitive productivity model of fractured horizontal wells in volcanic reservoirs[J].Lithologic Reservoirs,2021,33(4):166-175.
[17] 卢婷,王鸣川,马文礼,等.考虑多重应力敏感效应的页岩气藏压裂水平井试井模型[J].新疆石油地质,2021,42(6):741-748.LU Ting,WANG Mingchuan,MA Wenli,et al.Fractured horizontal well test model for shale gas reservoirs with considering multiple stress sensitive factors[J].Xinjiang Petroleum Geology,2021,42(6):741-748.
[18] 任宗孝,李旭飞,蒋海岩,等.考虑应力敏感的低渗透油藏分段压裂水平井三维不稳定渗流模型[J].中国科技论文,2023,18(1):10-16.REN Zongxiao,LI Xufei,JIANG Haiyan,et al.Three-dimensional unsteady flow model of multistage fractured horizontal well in low permeability reservoir considering stress sensitivity[J].China Science Paper,2023,18(1):10-16.
[19] 易劲,贾永禄,赵海洋,等.凝析气藏水平井井底压力动态分析[J].断块油气田,2008,15(2):54-57.YI Jin,JIA Yonglu,ZHAO Haiyang,et al.Performance analysis of bottom-hole pressure for horizontal well in condensate gas reservoir[J].Fault-Block Oil & Gas Field,2008,15(2):54-57.
[20] 周文武,李勇明,郑杰,等.致密油藏压裂水平井油气两相流试井模型研究与分析[J].油气藏评价与开发,2017,7(5):38-43.ZHOU Wenwu,LI Yongming,ZHENG Jie,et al.Oil-gas twophase flow well test model analysis of fractured horizontal wells in tight oil reservoir[J].Petroleum Reservoir Evaluation and Development,2017,7(5):38-43.
[21] 赵立安,史乐,钟彩霞,等.新型油气两相有限体积IMPES数值试井模型算法[J].西安石油大学学报(自然科学版),2020,35(5):60-64.ZHAO Li'an,SHI Le,ZHONG Caixia,et al.A finite volume IMPES algorithm for numerical well testing of oil-gas twophase flow[J].Journal of Xi'an Shiyou University(Natural Science Edition),2020,35(5):60-64.
[22] 朱经浩,陈硕晶.Gurman摄动变换在非凸全局优化中的应用[J].同济大学学报(自然科学版),2013,41(5):788-791.ZHU Jinghao,CHEN Shuojing.Non-convex global optimization with Gurman perturbation[J].Journal of Tongji University (Natural Science),2013,41(5):788-791.
[23] HEGEMAN P S,HALLFORD D L,JOSEPH J A.Well-test analysis with changing wellbore storage[J].SPE Formation Evaluation,1993,8(3):201-207.
[24] 陈艳芳,赵宏军.低渗气藏变井储试井分析研究[J].油气井测试,2017,26(3):33-35.CHEN Yanfang,ZHAO Hongjun.Well testing analysis and research on variable wellbore storage in low permeability gas reservoir[J].Well Testing,2017,26(3):33-35.
[1] 徐有杰, 任宗孝, 向祖平, 樊晓辉, 于梦男. 非均质储层致密气藏压裂井复杂缝多井干扰数值试井模型[J]. 岩性油气藏, 2025, 37(3): 194-200.
[2] 闫建平, 来思俣, 郭伟, 石学文, 廖茂杰, 唐洪明, 胡钦红, 黄毅. 页岩气井地质工程套管变形类型及影响因素研究进展[J]. 岩性油气藏, 2024, 36(5): 1-14.
[3] 苏皓, 郭艳东, 曹立迎, 喻宸, 崔书岳, 卢婷, 张云, 李俊超. 顺北油田断控缝洞型凝析气藏衰竭式开采特征及保压开采对策[J]. 岩性油气藏, 2024, 36(5): 178-188.
[4] 周浩, 梁利侠. 水平井探测半径计算方法[J]. 岩性油气藏, 2024, 36(1): 157-168.
[5] 杨兆臣, 卢迎波, 杨果, 黄纯, 弋大琳, 贾嵩, 吴永彬, 王桂庆. 中深层稠油水平井前置CO2蓄能压裂技术[J]. 岩性油气藏, 2024, 36(1): 178-184.
[6] 卜旭强, 王来源, 朱莲花, 黄诚, 朱秀香. 塔里木盆地顺北油气田奥陶系断控缝洞型储层特征及成藏模式[J]. 岩性油气藏, 2023, 35(3): 152-160.
[7] 钟会影, 沈文霞, 藏秋缘, 许严芮. 基于PEBI网格的考虑诱导裂缝的聚合物驱压力动态研究[J]. 岩性油气藏, 2022, 34(3): 164-170.
[8] 蔡晖, 屈丹, 陈民锋. 组合井网储量动用规律及水平井加密合理技术策略——以渤海HD油田为例[J]. 岩性油气藏, 2021, 33(4): 147-155.
[9] 史文洋, 程时清, 石志良, 张城玮, 李虹, 屠坤, 张郁哲. 纵向组合边界储层合采井压力响应特征及应用[J]. 岩性油气藏, 2021, 33(4): 156-165.
[10] 王付勇, 杨坤. 致密油藏孔喉分布特征对渗吸驱油规律的影响[J]. 岩性油气藏, 2021, 33(2): 155-162.
[11] 张艳, 高世臣, 孟婉莹, 成育红, 蒋思思. 致密砂岩储层AVO正演模拟过程中的不确定性分析[J]. 岩性油气藏, 2020, 32(6): 120-128.
[12] 张运来, 陈建波, 周海燕, 张吉磊, 章威. 海上底水油藏水平井水驱波及系数定量表征[J]. 岩性油气藏, 2020, 32(6): 146-153.
[13] 张雄, 王晓之, 郭天魁, 赵海洋, 李兆敏, 杨斌, 曲占庆. 顺北油田缝内转向压裂暂堵剂评价实验[J]. 岩性油气藏, 2020, 32(5): 170-176.
[14] 崔永正, 姜瑞忠, 郜益华, 乔欣, 王琼. 空间变导流能力压裂井CO2驱试井分析[J]. 岩性油气藏, 2020, 32(4): 172-180.
[15] 赵万金, 高海燕, 闫国亮, 郭同翠. 基于最优化估算和贝叶斯统计的TOC预测技术[J]. 岩性油气藏, 2020, 32(1): 86-93.
Viewed
Full text


Abstract

Cited
  Shared   
  Discussed   
No Suggested Reading articles found!

陇ICP备17006252号
版权所有© 2018 中国石油集团西北地质研究所有限公司《岩性油气藏》编辑部

地址：甘肃省兰州市城关区雁儿湾路535号(陇ICP备17006252号)    电话：0931-8686158;8686058;8686288    邮箱：yxyqc@petrochina.com.cn

甘公网安备 62010202002827号

本系统由北京玛格泰克科技发展有限公司设计开发