Lithologic Reservoirs ›› 2017, Vol. 29 ›› Issue (3): 159-164.doi: 10.3969/j.issn.1673-8926.2017.03.020

Previous Articles    

Empirical formulas of relative permeability curve of water drive reservoirs

WANG Dongqi, YIN Daiyin   

  1. School of Petroleum Engineering, Northeast Petroleum University, Daqing 163318, Heilongjiang, China
  • Received:2016-08-08 Revised:2016-12-13 Online:2017-05-21 Published:2017-05-21

Abstract: In the process of oilfield development, the curve fitting method and empirical formula are usually used to determine the variation of relative permeability curve of water drive reservoirs, so as to accurately simulate the oil production and water cut. When using Willhite empirical formula to fit the relationship between relative permeability and water saturation of the outlet, the fitting error is large. Especially for the relative permeability curves with small interval and sharp change, the fitting error is larger. In order to accurately characterize the changing regularity of the oil-water relative permeability curves, on the basis of the analyses of the existing formulas, Willhite empirical formula was chosen as the basic fitting formula to study the relationship between phase index and water saturation, and the oil phase and water phase index were modified. The results show that the fitting accuracy of Willhite empirical formula can be improved obviously by using binomial relation to characterize the relationship between oil-water phase index and water saturation, and the average fitting error is controlled within 8%. The improved Willhite empirical formula can characterize the changing regularity of oil and water more accurately, and has certain practicability and popularization value.

Key words: fluid inclusion, tight sandstone reservoir, Xujiahe Formation, Triassic, Sichuan Basin

CLC Number: 

  • TE341
[1] 李传亮.油藏工程原理.北京:石油工业出版社, 2011. LI C L. Reservoir engineering principles. Beijing:Petroleum Industry Press, 2011.
[2] 魏洪涛, 林玉保, 石京平, 等.长垣油藏开采过程中油水渗流规律研究. 西南石油大学学报(自然科学版), 2013, 35(6):109-114. WEI H T, LIN Y B, SHI J P, et al. Study on the seepage law of oil-water during development of Changyuan reservoir. Journal of Southwest Petroleum University(Science & Technology Edition), 2013, 35(6):109-114.
[3] 高文君, 姚江荣, 公学成, 等.水驱油田油水相对渗透率曲线研究.新疆石油地质, 2014, 35(5):552-557. GAO W J, YAO J R, GONG X C, et al. Study on oil-water relative permeability curves in water flooding oilfields. Xinjiang Petroleum Geology, 2014, 35(5):552-557.
[4] 杨宇, 周文, 邱坤泰, 等.计算相对渗透率曲线的新方法.油气地质与采收率, 2010, 17(2):105-107. YANG Y, ZHOU W, QIU K T, et al. A new method of calculating relative permeability curve. Petroleum Geology and Recovery Efficiency, 2010, 17(2):105-107.
[5] 张继成, 宋考平.相对渗透率特征曲线及其应用.石油学报, 2007, 28(4):104-107. ZHANG J C, SONG K P. Eigen curve of relative permeability and its application. Acta Petrolei Sinica, 2007, 28(4):104-107.
[6] 罗治形, 王仕莉, 丁艳, 等.相对渗透率曲线归一化方法的改进.新疆石油天然气, 2014, 10(1):27-31. LUO Z X, WANG S L, DING Y, et al. Improvement of relative permeability curve normalization method. Xinjiang Oil & Gas, 2014, 10(1):27-31.
[7] 王国先, 谢建勇, 李建良, 等.储集层相对渗透率曲线形态及开采特征.新疆石油地质, 2004, 25(3):301-304. WANG G X, XIE J Y, LI J L, et al. On relative permeability curves and production characteristics of reservoirs. Xinjiang Petroleum Geology, 2004, 25(3):301-304.
[8] 高超, 杨满平, 王刚.注水开发油藏油水相对渗透率曲线特征评价.复杂油气藏, 2013, 6(1):46-49. GAO C, YANG M P, WANG G. Evaluation of oil/water relative permeability curve feature for water-flooding reservoirs. Complex Hydrocarbon Reservoirs, 2013, 6(1):46-49.
[9] 薛建强, 覃孝平, 赖南军, 等.超低渗透油田降压增注体系的研究与应用.岩性油气藏, 2013, 25(6):107-111. XUE J Q, QIN X P, LAI N J, et al. Research and application of depressurization and stimulation of injection well for ultra-low permeability oilfield. Lithologic Reservoirs, 2013, 25(6):107-111.
[10] 胡伟, 杨胜来, 翟羽佳, 等.油-水相对渗透率曲线优化校正新方法.石油学报, 2015, 36(7):871-875. HU W, YANG S L, ZHAI Y J, et al. A new optimization and correction method of oil-water phase relative permeability curve. Acta Petrolei Sinica, 2015, 36(7):871-875.
[11] 徐赢, 潘有军, 周蓉萍, 等.油田注水开发期含水率随时间变化规律研究.岩性油气藏, 2016, 28(4):127-132. XU Y, PAN Y J, ZHOU R P, et al. Water cut change law with time in water flooding oilfield. Lithologic Reservoirs, 2016, 28(4):127-132.
[12] 高文君, 彭长水, 李正科.推导水驱特征曲线的渗流理论基础和通用方法.石油勘探与开发, 2000, 27(5):56-60. GAO W J, PENG C S, LI Z K. A derivation method and percolation theory of water-drive characteristic curves. Petroleum Exploration and Development, 2000, 27(5):56-60.
[13] 俞启泰.几种重要水驱特征曲线的油水渗流特征.石油学报, 1999, 20(1):56-60. YU Q T. Characteristics of oil-water seepage flow for several important water drive curves. Acta Petrolei Sinica, 1999, 20(1):56-60.
[14] 周志军, 薛江龙, 赵立斌.数值模拟拟合精度方法研究——以龙虎泡油田为例.岩性油气藏, 2016, 28(1):101-105. ZHOU Z J, XUE J L, ZHAO L B. Numerical simulation fitting technology:a case study from Longhupao Oilfield. Lithologic Reservoirs, 2016, 28(1):101-105.
[15] 王陶, 朱卫红, 杨胜来, 等.用相对渗透率曲线建立水平井采液、吸水指数经验公式.新疆石油地质, 2009, 30(2):235-237. WANG T, ZHU W H, YANG S L, et al. Application of relative permeability curves to establishment of empirical formulas for fluid productivity index and injectivity index of horizontal well. Xinjiang Petroleum Geology, 2009, 30(2):235-237.
[16] 毛伟, 贾红兵, 包志晶.Arps产量递减方程的相对渗透率通式及含水率预测.大庆石油地质与开发, 2015, 34(5):52-57. MAO W, JIA H B, BAO Z J. General expression of the relative permeability and watercut prediction by Arps production decline equation. Petroleum Geology & Oilfield Development in Daqing, 2015, 34(5):52-57.
[1] ZHAO Jun, LI Yong, WEN Xiaofeng, XU Wenyuan, JIAO Shixiang. Prediction of shale formation pore pressure based on Zebra Optimization Algorithm-optimized support vector regression [J]. Lithologic Reservoirs, 2024, 36(6): 12-22.
[2] YAN Xueying, SANG Qin, JIANG Yuqiang, FANG Rui, ZHOU Yadong, LIU Xue, LI Shun, YUAN Yongliang. Main controlling factors for the high yield of tight oil in the Jurassic Da’anzhai Section in the western area of Gongshanmiao, Sichuan Basin [J]. Lithologic Reservoirs, 2024, 36(6): 98-109.
[3] ZHOU Gang, YANG Dailin, SUN Yiting, YAN Wei, ZHANG Ya, WEN Huaguo, HE Yuan, LIU Sibing. Sedimentary filling process and petroleum geological significance of Cambrian Canglangpu Formation in Sichuan Basin and adjacent areas [J]. Lithologic Reservoirs, 2024, 36(5): 25-34.
[4] HUANG Xiangsheng, YAN Zhuoyu, ZHANG Dongfeng, HUANG Heting, LUO Chengfei. Characteristics of multi-phase thermal fluid activity and natural gas migration-accumulation of Cenozoic in No. 2 fault zone of Qiongdongnan Basin [J]. Lithologic Reservoirs, 2024, 36(5): 67-76.
[5] ZHANG Xiaoli, WANG Xiaojuan, ZHANG Hang, CHEN Qin, GUAN Xu, ZHAO Zhengwang, WANG Changyong, TAN Yaojie. Reservoir characteristics and main controlling factors of Jurassic Shaximiao Formation in Wubaochang area,northeastern Sichuan Basin [J]. Lithologic Reservoirs, 2024, 36(5): 87-98.
[6] YANG Xuefeng, ZHAO Shengxian, LIU Yong, LIU Shaojun, XIA Ziqiang, XU Fei, FAN Cunhui, LI Yutong. Main controlling factors of shale gas enrichment of Ordovician Wufeng Formation-Silurian Longmaxi Formation in Ningxi area,Sichuan Basin [J]. Lithologic Reservoirs, 2024, 36(5): 99-110.
[7] CHEN Kang, DAI Juncheng, WEI Wei, LIU Weifang, YAN Yuanyuan, XI Cheng, LYU Yan, YANG Guangguang. Lithofacies classification of tight sandstone based on Bayesian Facies-AVO attributes:A case study of the first member of Jurassic Shaximiao Formation in central Sichuan Basin [J]. Lithologic Reservoirs, 2024, 36(5): 111-121.
[8] QIU Yuchao, LI Yading, WEN Long, LUO Bing, YAO Jun, XU Qiang, WEN Huaguo, TAN Xiucheng. Structural characteristics and hydrocarbon accumulation model of Cambrian Xixiangchi Formation in eastern Sichuan Basin [J]. Lithologic Reservoirs, 2024, 36(5): 122-132.
[9] WANG Zixin, LIU Guangdi, YUAN Guangjie, YANG Henglin, FU Li, WANG Yuan, CHEN Gang, ZHANG Heng. Characteristics and reservoir control of source rocks of Triassic Chang 7 member in Qingcheng area,Ordos Basin [J]. Lithologic Reservoirs, 2024, 36(5): 133-144.
[10] YIN Hu, QU Hongjun, SUN Xiaohan, YANG Bo, ZHANG Leigang, ZHU Rongxing. Characteristics of deep-water deposits and evolution law of Triassic Chang 7 reservoir in southeastern Ordos Basin [J]. Lithologic Reservoirs, 2024, 36(5): 145-155.
[11] MOU Feisheng, YIN Xiangdong, HU Cong, ZHANG Haifeng, CHEN Shijia, DAI Linfeng, LU Yifan. Distribution characteristics and controlling factors of tight oil of Triassic Chang 7 member in northern Shaanxi area,Ordos Basin [J]. Lithologic Reservoirs, 2024, 36(4): 71-84.
[12] BAO Hanyong, ZHAO Shuai, ZHANG Li, LIU Haotian. Exploration achievements and prospects for shale gas of Middle-Upper Permian in Hongxing area,eastern Sichuan Basin [J]. Lithologic Reservoirs, 2024, 36(4): 12-24.
[13] WANG Tongchuan, CHEN Haoru, WEN Longbin, QIAN Yugui, LI Yuzhuo, WEN Huaguo. Identification and reservoir significance of Carboniferous karst paleogeomorphology in Wubaiti area,eastern Sichuan Basin [J]. Lithologic Reservoirs, 2024, 36(4): 109-121.
[14] ZOU Liansong, XUWenli, LIANG Xiwen, LIU Haotian, ZHOU Kun, HOU Fei, ZHOU Lin, WEN Huaguo. Sedimentary characteristics and sources of shale of Dongyuemiao member of Lower Jurassic Ziliujing Formation in eastern Sichuan Basin [J]. Lithologic Reservoirs, 2024, 36(4): 122-135.
[15] SONG Zhihua, LI Lei, LEI Dewen, ZHANG Xin, LING Xun. Application of improved U-Net network small faults identification technology to Triassic Baijiantan Formation in Mazhong area,Mahu Sag [J]. Lithologic Reservoirs, 2024, 36(3): 40-49.
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
[1] . [J]. Lithologic Reservoirs, 2022, 34(2): 0 .
[2] LI Zaiguang,LI Lin. Automatic mapping based on well data[J]. Lithologic Reservoirs, 2007, 19(2): 84 -89 .
[3] CHENG Yuhong,GUO Yanru,ZHENG Ximing,FANG Naizhen,MA Yuhu. The interpretation method and application effect determined by multiple seismic and logging factors[J]. Lithologic Reservoirs, 2007, 19(2): 97 -101 .
[4] LIU Juntian,JIN Zhenjia,LI Zaiguang,TAN Xinping,GUO Lin,WANG Bo,LIU Yuxiang. Controlling factors for lithologic hydrocarbon reservoirs and petroleum prospecting target in Xiaocaohu area , Taibei Sag[J]. Lithologic Reservoirs, 2007, 19(3): 44 -47 .
[5] SHANG Changliang, FU Shouxian. Application of 3D seismic survey in loess tableland[J]. Lithologic Reservoirs, 2007, 19(3): 106 -110 .
[6] WANG Changyong, ZHENG Rongcai, WANG Jianguo, CAO Shaofang, Xiao Mingguo. Sedimentary characteristics and evolution of Badaowan Formation of Lower Jurassic in northwest margin of Junggar Basin[J]. Lithologic Reservoirs, 2008, 20(2): 37 -42 .
[7] WANG Ke1 LIU Xianyang, ZHAO Weiwei, SONG Jianghai, SHI Zhenfeng, XIANG Hui. Char acter istics and geological significance of seismites of Paleogene in Yangxin Subsag of J iyang Depr ession[J]. Lithologic Reservoirs, 2008, 20(2): 54 -59 .
[8] SUN Hongbin, ZHANG Fenglian. Structural-sedimentary evolution char acter istics of Paleogene in Liaohe Depr ession[J]. Lithologic Reservoirs, 2008, 20(2): 60 -65 .
[9] LI Chuanliang. Can uplift r esult in abnormal high pr essur e in formation?[J]. Lithologic Reservoirs, 2008, 20(2): 124 -126 .
[10] WEI Qinlian,ZHENG Rongcai,XIAO Ling,MA Guofu,DOU Shijie,TIAN Baozhong. Study on horizontal heterogeneity in Serie Inferiere of Triassic in 438b block , Algeria[J]. Lithologic Reservoirs, 2009, 21(2): 24 -28 .
TRENDMD: