考虑储层参数时变的相对渗透率曲线计算方法
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摘要
针对目前水驱油藏相对渗透率曲线计算方法未能考虑储层参数时变的问题,开展了理论研究。基于新型的近似理论水驱曲线,推导建立了油相指数、水相指数、残余油饱和度下的水相相对渗透率等相对渗透率曲线关键参数的数学表征公式,同时结合残余油饱和度计算方法,构建了一种广泛适用的考虑储层参数时变效应的油水相对渗透率曲线动态计算方法,可直接根据生产数据计算长期水驱后的油藏相对渗透率曲线。应用实例表明,新方法求得油水相对渗透率曲线可有效反映油藏动态规律,为油田可采储量标定、剩余油分布规律研究、特高含水期油藏数值模拟历史拟合等提供了理论支持。
The current method used to calculate the relative permeability curve for a water-flooded oilfield fails to consider changes to reservoir parameters over time. To resolve this problem, a theoretical study was conducted. Based on a newly developed approximated theoretical water-flooding curve, we derived mathematical formulas for the key parameters associated with the relative permeability curve. These include the oil phase index, water phase index, and residual oil saturation quantity. Combining these formulas with the method used to calculate the residual oil saturation quantity, we developed a widely applicable method for calculating the dynamic curve of oil-water relative permeability that considers the time-varying effect of relevant reservoir parameters. Based on production data, this method can be used for a reservoir after prolonged water flooding. An application example shows that the oil-water relative permeability curve derived from the new method can reflect the dynamic characteristics of the reservoir effectively. The proposed method provides theoretical support for calibrating the recoverable reserves of an oilfield and for studying the distribution of residual oil. It can also be used in numerical simulations of ultra-high water content oil reservoirs or in analytical fitting of historical data.
The current method used to calculate the relative permeability curve for a water-flooded oilfield fails to consider changes to reservoir parameters over time. To resolve this problem, a theoretical study was conducted. Based on a newly developed approximated theoretical water-flooding curve, we derived mathematical formulas for the key parameters associated with the relative permeability curve. These include the oil phase index, water phase index, and residual oil saturation quantity. Combining these formulas with the method used to calculate the residual oil saturation quantity, we developed a widely applicable method for calculating the dynamic curve of oil-water relative permeability that considers the time-varying effect of relevant reservoir parameters. Based on production data, this method can be used for a reservoir after prolonged water flooding. An application example shows that the oil-water relative permeability curve derived from the new method can reflect the dynamic characteristics of the reservoir effectively. The proposed method provides theoretical support for calibrating the recoverable reserves of an oilfield and for studying the distribution of residual oil. It can also be used in numerical simulations of ultra-high water content oil reservoirs or in analytical fitting of historical data.
引文
[1]秦同洛,李汤玉,陈元千.实用油藏工程方法[M].北京:石油工业出版社,1989.QIN Tongluo, LI Tangyu, CHEN Yuanqian. Practical reservoir engineering method[M]. Beijing:Petroleum Industry Press, 1989.
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[3]杨宇,周文,邱坤泰,等.计算相对渗透率曲线的新方法[J].油气地质与采收率,2010, 17(2):105-107. doi:10.3969/j.issn.1009-9603.2010.02.030YANG Yu, ZHOU Wen, QIU Kuntai, et al. A new method of calculation relative permeability curve[J]. Petroleum Geology and Recovery Efficiency, 2010, 17(2):105-107.doi:10.3969/j.issn.1009-9603.2010.02.030
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[12]陈丹磬,李金宜,朱文森,等.海上疏松砂岩稠油油藏水驱后储层参数变化规律实验[J].中国海上油气,2016,28(5):54-60. doi:10.11935/j.issn.1673-1506.-2016.05.009CHEN Danqing, LI Jinyi, ZHU Wensen, et. al. Experimental research on reservoir parameters variation after water flooding for offshore unconsolidated sandstone heavy oil reservoirs[J]. China Offshore Oil and Gas, 2016, 28(5):54-60. doi:10.11935/j.issn.1673-1506.2016.05.009
[13]文馨,戴宗,王华,等.海相砂岩油藏长期水驱后储层物性变化规律[J].特种油气藏,2017, 24(1):157-161.doi:10.3969/j.issn.1006-6535.2017.01.032WEN Xin, DAI Zong, WANG Hua, et al. Physical properties of marine sandstone reservoir after long-term waterflooding[J]. Special Oil and Gas Reservoirs, 2017, 24(1):157-161. doi:10.3969/j.issn.1006-6535.2017.01.032
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[15]王小林,于立君,唐玮,等.特高含水期含水率与采出程度关系式[J].特种油气藏,2015, 22(5):104-106.doi:10.3969/j.issn.1006-6535.2015.05.022WANG Xiaolin, YU Lijun, TANG Wei, et al. Relationship between water-cut and recovery degree in ultrahigh water-cut stage[J]. Special Oil and Gas Reservoirs,2015, 22(5):104-106. doi:10.3969/j.issn. 1006-6535.-2015.05.022
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[17]孙红霞.高含水期水驱特征曲线上翘新认识[J].特种油气藏,2016, 23(1):92-95. doi:10.3969/j.issn.1006-6535.2016.01.020SUN Hongxia. New understanding of upward waterflooding characteristic curve in high water-cut stage[J]. Special Oil and Gas Reservoirs, 2016, 23(1):92-95. doi:10.-3969/j.issn.1006-6535.2016.01.020
[18]陈元千,王惠芝.丙型水驱曲线的扩展推导及其在埕北油田的应用[J].中国海上油气,2004, 16(6):392-394.doi:10.3969/j.issn.1673-1506.2004.06.008CHEN Yuanqian, WANG Huizhi. An extended derivation of type C water drive curve and its application in Chengbei Oilfield[J]. China Offshore Oil and Gas, 2004, 16(6):392-394. doi:10.3969/j.issn.1673-1506.2004.06.008
[19]俞启泰,赵明,林志芳.水驱砂岩油田驱油效率和波及系数研究(一)[J].石油勘探与开发,1989, 1(2):48-52.YU Qitai,ZHAO Ming,LIN Zhifang. A study of the displacement efficiency and the conformance factor in waterflooded sandstone reservoirs in China[J]. Petroleum Exploration and Development, 1989, 1(2):48-52.
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[2]何建民.油水相对渗透率曲线异常影响因素探讨[J].油气地质与采收率,2009, 16(2):74-76, 80. doi:10.-3969/j.issn.1009-9603.2009.02.023HE Jianmin. Influencing factors of abnormal oil/water relative permeability curve[J]. Petroleum Geology and Recovery Efficiency, 2009, 16(2):74-76, 80. doi:10.3969/j.-issn. 1009-9603.2009.02.023
[3]杨宇,周文,邱坤泰,等.计算相对渗透率曲线的新方法[J].油气地质与采收率,2010, 17(2):105-107. doi:10.3969/j.issn.1009-9603.2010.02.030YANG Yu, ZHOU Wen, QIU Kuntai, et al. A new method of calculation relative permeability curve[J]. Petroleum Geology and Recovery Efficiency, 2010, 17(2):105-107.doi:10.3969/j.issn.1009-9603.2010.02.030
[4]蒋明,宋富霞,郭发军,等.利用水驱特征曲线计算相对渗透率曲线[J].新疆石油地质,1999,20(5):418-421.JIANG Ming, SONG Fuxia, GUO Fajun, et al. Computation of relative permeability curve by using waterdrive curve[J]. Xinjiang Petroleum Geology, 1999, 20(5):418-421.
[5]吕新东,冯文光,杨宇,等.利用动态数据计算相渗曲线的新方法[J].特种油气藏,2009, 16(5):65-66, 75.doi:10.3969/j.issn.1006-6535.2009.05.018LU Xindong, FENG Wenguang, YANG Yu, et al. A new method of calculation relative permeability curve with performance data[J]. Special Oil and Gas Reservoirs,2009, 16(5):65-66, 75. doi:10.3969/j.issn. 1006-6535.-2009.05.018
[6]阎静华,许寻,杜永波.计算相渗曲线的新方法一甲型水驱曲线法[J].断块油气田,2001,8(1):38-40. doi:10.3969/j.issn.1005-8907.2001.01.013YAN Jinghua, XU Xun, DU Yongbo. A new method of calculation the relative permeability curve:The first water drive characteristic curve[J]. Fault-Block Oil&Gas Field, 2001, 8(1):38-40. doi:10.3969/j.issn. 1005-8907.-2001.01.013
[7]杜殿发,林新宇,巴忠臣,等.利用甲型水驱特征曲线计算相对渗透率曲线[J].特种油气藏,2013, 20(5):93-96. doi:10.3969/j.issn.1006-6535.2013.05.020DU Dianfa, LIN Xinyu, BA Zhongchen, et al. Calculation of relative permeability curve with Type A characteristic curve of water drive[J]. Special Oil and Gas Reservoirs,2013, 20(5):93-96. doi:10.3969/j.issn. 1006-6535.-2013.05.020
[8]梁尚斌,赵海洋,宋宏伟,等.利用生产数据计算油藏相对渗透率曲线方法[J].大庆石油地质与开发,2005, 24(2):24-25. doi:10.3969/j.issn.1000-3754.2005.02.008LIANG Shangbin,ZHAO Haiyang,SONG Hongwei,et al.Method of calculating relative permeability curve by production data[J]. Petroleum Geology&Oilfield Development in Daqing, 2005, 24(2):24-25. doi:10.3969/j.issn.-1000-3754.2005.02.008
[9]王怒涛,陈浩,王陶,等.用生产数据计算油藏相对渗透率曲线[J].西南石油学院学报,2005,27(5):26-28.doi:10.3863/j.issn.1674-5086.2005.05.007WANG Nutao, CHEN Hao, WANG Tao, et al. Calculation method of relative permeability curve from production data[J]. Journal of Southwest Petroleum Institute, 2005,27(5):26-28. doi:10.3863/j.issn. 1674-5086.2005.05.007
[10]刘显太.中高渗透砂岩油藏储层物性时变数值模拟技术[J].油气地质与采收率,2011,18(5):58-62. doi:10.3969/j.issn.1009-9603.2011.05.016LIU Xiantai. Study on numerical simulation technology based on time varying physical properties in min-high permeability sandstone reservoirs[J]. Petroleum Geology and Recovery Efficiency, 2011, 18(5):58-62. doi:10.3969/j.-issn.1009-9603.2011.05.016
[11]崔传智,耿正玲,王延忠,等.水驱油藏高含水期渗透率的动态分布计算模型及应用[J].中国石油大学学报(自然科学版),2012,36(4):118-122.doi:10.3969/j.issn.-1673-5005.2012.04.022CUI Chuanzhi, GENG Zhengling, WANG Yanzhong, et al. Calculation model of dynamic permeability distribution and its application to water drive reservoir at high water cut stage[J]. Journal of China University of Petroleum, 2012, 36(4):118-122. doi:10.3969/j.issn.1673-5005.2012.04.022
[12]陈丹磬,李金宜,朱文森,等.海上疏松砂岩稠油油藏水驱后储层参数变化规律实验[J].中国海上油气,2016,28(5):54-60. doi:10.11935/j.issn.1673-1506.-2016.05.009CHEN Danqing, LI Jinyi, ZHU Wensen, et. al. Experimental research on reservoir parameters variation after water flooding for offshore unconsolidated sandstone heavy oil reservoirs[J]. China Offshore Oil and Gas, 2016, 28(5):54-60. doi:10.11935/j.issn.1673-1506.2016.05.009
[13]文馨,戴宗,王华,等.海相砂岩油藏长期水驱后储层物性变化规律[J].特种油气藏,2017, 24(1):157-161.doi:10.3969/j.issn.1006-6535.2017.01.032WEN Xin, DAI Zong, WANG Hua, et al. Physical properties of marine sandstone reservoir after long-term waterflooding[J]. Special Oil and Gas Reservoirs, 2017, 24(1):157-161. doi:10.3969/j.issn.1006-6535.2017.01.032
[14]张金庆.水驱油田产量预测模型[M].北京:石油工业出版社,2012.ZHANG Jinqing. The prediction model of oilfield production water flooding[M]. Beijing:Petroleum Industry Press,2012.
[15]王小林,于立君,唐玮,等.特高含水期含水率与采出程度关系式[J].特种油气藏,2015, 22(5):104-106.doi:10.3969/j.issn.1006-6535.2015.05.022WANG Xiaolin, YU Lijun, TANG Wei, et al. Relationship between water-cut and recovery degree in ultrahigh water-cut stage[J]. Special Oil and Gas Reservoirs,2015, 22(5):104-106. doi:10.3969/j.issn. 1006-6535.-2015.05.022
[16]宋兆杰,李治平,赖枫鹏,等.高含水期油田水驱特征曲线关系式的理论推导[J].石油勘探与开发,2013,40(2):201-208. doi:10.11698/PED.2013.02.09SONG Zhaojie, LI Zhiping, LAI Fengpeng, et al. Derivation of water flooding characteristic curve for high watercut oilfields[J]. Petroleum Exploration and Development,2013,40(2):201-208. doi:10.11698/PED.2013.02.09
[17]孙红霞.高含水期水驱特征曲线上翘新认识[J].特种油气藏,2016, 23(1):92-95. doi:10.3969/j.issn.1006-6535.2016.01.020SUN Hongxia. New understanding of upward waterflooding characteristic curve in high water-cut stage[J]. Special Oil and Gas Reservoirs, 2016, 23(1):92-95. doi:10.-3969/j.issn.1006-6535.2016.01.020
[18]陈元千,王惠芝.丙型水驱曲线的扩展推导及其在埕北油田的应用[J].中国海上油气,2004, 16(6):392-394.doi:10.3969/j.issn.1673-1506.2004.06.008CHEN Yuanqian, WANG Huizhi. An extended derivation of type C water drive curve and its application in Chengbei Oilfield[J]. China Offshore Oil and Gas, 2004, 16(6):392-394. doi:10.3969/j.issn.1673-1506.2004.06.008
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