Lithologic Reservoirs ›› 2025, Vol. 37 ›› Issue (4): 184-191.doi: 10.12108/yxyqc.20250417

• PETROLEUM ENGINEERING AND OIL & GAS FIELD DEVELOPMENT • Previous Articles    

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)

23

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

CLC Number: 

  • 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] XU Youjie, REN Zongxiao, XIANG Zuping, FAN Xiaohui, YU Mengnan. Numerical well testing model of fractured well with complex fractures multi-well interference in heterogeneous tight gas reservoirs [J]. Lithologic Reservoirs, 2025, 37(3): 194-200.
[2] YAN Jianping, LAI Siyu, GUO Wei, SHI Xuewen, LIAO Maojie, TANG Hongming, HU Qinhong, HUANG Yi. Research progress on casing deformation types and influencing factors in geological engineering of shale gas wells [J]. Lithologic Reservoirs, 2024, 36(5): 1-14.
[3] SU Hao, GUO Yandong, CAO Liying, YU Chen, CUI Shuyue, LU Ting, ZHANG Yun, LI Junchao. Natural depletion characteristics and pressure maintenance strategies of faultcontrolled fracture-cavity condensate gas reservoirs in Shunbei Oilfield [J]. Lithologic Reservoirs, 2024, 36(5): 178-188.
[4] ZHOU Hao, LIANG Lixia. Calculation method of investigation radius of horizontal wells [J]. Lithologic Reservoirs, 2024, 36(1): 157-168.
[5] YANG Zhaochen, LU Yingbo, YANG Guo, HUANG Chun, YI Dalin, JIA Song, WU Yongbin, WANG Guiqing. Pre-CO2 energy storage fracturing technology in horizontal wells for medium-deep heavy oil [J]. Lithologic Reservoirs, 2024, 36(1): 178-184.
[6] CAI Hui, QU Dan, CHEN Minfeng. Reserve producing law of combined well pattern and technology strategy of horizontal well infilling: A case study from HD oilfield in Bohai Sea [J]. Lithologic Reservoirs, 2021, 33(4): 147-155.
[7] WANG Fuyong, YANG Kun. Influence of pore throat size distribution on oil displacement by spontaneous imbibition in tight oil reservoirs [J]. Lithologic Reservoirs, 2021, 33(2): 155-162.
[8] ZHANG Yan, GAO Shichen, MENG Wanying, CHENG Yuhong, JIANG Sisi. Uncertainty analysis in AVO forward modeling for tight sandstone reservoirs [J]. Lithologic Reservoirs, 2020, 32(6): 120-128.
[9] ZHANG Yunlai, CHEN Jianbo, ZHOU Haiyan, ZHANG Jilei, ZHANG Wei. Quantitative characterization of sweep coefficient of water drive in horizontal well for offshore bottom water reservoir [J]. Lithologic Reservoirs, 2020, 32(6): 146-153.
[10] ZHANG Xiong, WANG Xiaozhi, GUO Tiankui, ZHAO Haiyang, LI Zhaomin, YANG Bin, QU Zhanqing. Experiment on evaluation of temporary plugging agent for in-fracture steering fracturing in Shunbei oilfield [J]. Lithologic Reservoirs, 2020, 32(5): 170-176.
[11] LI Zihan, HE Yufa, ZHANG Binhai, ZHONG Haiquan. Solution and realization of coupled model of temperature and pressure field in deep water gas well testing [J]. Lithologic Reservoirs, 2020, 32(4): 163-171.
[12] JIANG Ruizhong, ZHANG Chunguang, GAO Yihua, GENG Yanhong, YU Hui, LI Haoyuan. Fractal nonlinear seepage model of horizontal wells in fractured-vuggy carbonate reservoirs [J]. Lithologic Reservoirs, 2019, 31(6): 118-126.
[13] XU Youjie, LIU Qiguo, WANG Rui, LIU Yicheng. Pressure transient of fractured horizontal well with complex fracture distribution in composite reservoir [J]. Lithologic Reservoirs, 2019, 31(5): 161-168.
[14] AN Jie, TANG Meirong, CAO Zongxiong, WANG Wenxiong, CHEN Wenbin, WU Shunlin. Transformation of development model of horizontal wells in ultra-low permeability and low-pressure reservoirs [J]. Lithologic Reservoirs, 2019, 31(5): 134-140.
[15] JIANG Ruizhong, ZHANG Fulei, CUI Yongzheng, PAN Hong, ZHANG Xu, ZHANG Chunguang, SHEN Zeyang. Pressure dynamic analysis of shale gas reservoirs considering stress sensitivity and complex migration [J]. Lithologic Reservoirs, 2019, 31(4): 149-156.
Viewed
Full text


Abstract

Cited
  Shared   
  Discussed   
No Suggested Reading articles found!
TRENDMD:

Copyright © 2018 Lithologic Reservoirs

Support by Beijing Magtech support@magtech.com.cn