相对渗透率、毛管压力及电阻率指数相关性
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摘要
毛管压力、相对渗透率和电阻率指数是描述储集层物性及表征储集层中多相渗流特征的重要参数。由于现行的毛管压力和相对渗透率测试方法存在着耗时长、仪器精度要求高和实验条件易受到制约等诸多问题,因此获取毛管压力和相对渗透率数据具有一定难度。基于毛细管模型和阿尔奇公式,研究了毛管压力、相对渗透率和电阻率指数三者之间的相关性,建立了三者之间的转换模型。通过岩电实验对转换模型的准确性进行了验证。结果表明,通过转换模型计算得到的毛管压力和相对渗透率数据和实验实测数据非常接近。通过本文的方法,能够通过电阻率数据计算毛管压力和相对渗透率,可以使得毛管压力和相对渗透率数据的获取更加便捷和多元化。
Parameters such as capillary pressure,relative permeability and resistivity index are important to describe reservoir properties and multiphase fluid flow characteristics in reservoirs. However,the relative permeability and capillary pressure could not be easily measured through experiments which are often time-consuming,demanding in instrument precision,and restricted by subjective conditions. The study discussed the correlation amongcapillary pressure,relative permeability and resistivity index based on the capillary tube model and Archie equation,and in turn built a transformation model among the three parameters. Besides,the accuracy of the transformation model was verified by rock-electrical property experiment. The results show that the relative permeability and the capillary pressure calculated with the transformation model are very close to that measured through in-situ experiments. The method proposed in this study can effectively calculate the relative permeability and capillary pressure with resistivity data,making it easier to figure out the two parameters.
Parameters such as capillary pressure,relative permeability and resistivity index are important to describe reservoir properties and multiphase fluid flow characteristics in reservoirs. However,the relative permeability and capillary pressure could not be easily measured through experiments which are often time-consuming,demanding in instrument precision,and restricted by subjective conditions. The study discussed the correlation amongcapillary pressure,relative permeability and resistivity index based on the capillary tube model and Archie equation,and in turn built a transformation model among the three parameters. Besides,the accuracy of the transformation model was verified by rock-electrical property experiment. The results show that the relative permeability and the capillary pressure calculated with the transformation model are very close to that measured through in-situ experiments. The method proposed in this study can effectively calculate the relative permeability and capillary pressure with resistivity data,making it easier to figure out the two parameters.
引文
[1]郭迎春,庞雄奇,陈冬霞,等.致密砂岩气成藏研究进展及值得关注的几个问题[J].石油与天然气地质,2013,34(6):717-724.Guo Yingchun,Pang Xiongqi,Chen Dongxia,et al. Progress of research on hydrocarbon accumulation of tight sand gas and several issues for concerns[J]. Oil&Gas Geology,2013,34(6):717-724.
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[5]陈田勇,毛鑫,刘仕银,等.利用分形理论计算相对渗透率曲线-以南襄盆地双河油田核桃园组六油组为例[J].石油与天然气地质,2012,33(4):578-590.Chen Tianyong,Mao Xin,Liu Shiyin,et al. Fractal theory-based calculation method of relative permeability curves—a case study from the Hetaoyuan Formation in Shuanghe oilfield,Nanxiang Basin[J].Oil&Gas Geology,2012,33(4):578-581.
[6]杨清彦.两相驱替相对渗透率研究[D].北京:中国地质大学(北京),2012:96-102.Yang Qinyan. Study on relative permeabilities in condition of twophase flooding[D]BeiJing:China University of Geosciences(Beijing),2012:96-102.
[7]马东,吴华,曾鸣.从电阻率数据中得到相对渗透率的新方法[J].石油与天然气地质,2015,36(4):695-700.Ma Dong,Wu Hua,Zeng Ming. A new method for estimating relative permeability with resistivity data[J]. Oil&Gas Geology,2015,36(4):695-700.
[8] Ma D,Liu C,Cheng C. New relationship between resistivity index and relative permeability[J]. Journal of Energy Resources Technology,2015,137(3):032904
[9] Liu C,Li K,Ma D,Chen Y. More general relationship between capillary pressure and resistivity data in gas-water system[J]. Journal of Petroleum Science and Engineering,2016,146:505-514.
[10] Purcell W R. Capillary pressures-their measurement using mercuryand the calculation of permeability therefrom[J]. pet Petroleum Transaction Amie,1949,186(2):39-48.
[11] Li K. Interrelationship between resistivity index,capillary pressure and relative permeability[J]. Transport in Porous Media,2011,88(3):385-398
[12] Li K W,Horne R N. Comparison of methods to calculate relative permeability from capillary pressure in consolidated water wet porous media[J]. Water Resources Research,2006,42(6):285-293.
[2]任晓霞,李爱芬,工永政,等.致密砂岩储层孔隙结构及其对渗流的影响—以鄂尔多斯盆地岭油田长8储层为例[J].石油与天然气地质,2015,36(5):774-779.Ren Xiaoxia,Li Aifen,Gong Yongzheng,et al. Pore structure of tight sand reservoir and its influence On percolation-Tacking the chang 8reservoir in Maling oilfield in Ordos Basin as an examples[J]. Oil&Gas Geology,2015,36(5):774-779.
[3]马东,刘昌为,徐海民,等.利用岩电参数计算聚合物驱相对渗透率[J].中国石油大学学报(自然科学版),2017,41(1):118-123.Ma Dong,Liu Changwei,Xu Haimin,et al. A new method for calculating relative permeability of polymer flooding based on core-electrical parameters[J]. Journal of China University of Petroleum(Edition of Natural Science),2017,41(1):118-123.
[4]杨超,李彦兰,徐兵祥,等.油水相对渗透率曲线非线性优化校正新方法及其应用[J].石油与天然气地质,2013,34(3):394-399.Yang Chao,Li Yanlan,Xu Bingxiang,et al. New nonlinear correction method of oil-water relative permeability curves and their application[J]. Oil&Gas Geology,2013,34(3):394-399.
[5]陈田勇,毛鑫,刘仕银,等.利用分形理论计算相对渗透率曲线-以南襄盆地双河油田核桃园组六油组为例[J].石油与天然气地质,2012,33(4):578-590.Chen Tianyong,Mao Xin,Liu Shiyin,et al. Fractal theory-based calculation method of relative permeability curves—a case study from the Hetaoyuan Formation in Shuanghe oilfield,Nanxiang Basin[J].Oil&Gas Geology,2012,33(4):578-581.
[6]杨清彦.两相驱替相对渗透率研究[D].北京:中国地质大学(北京),2012:96-102.Yang Qinyan. Study on relative permeabilities in condition of twophase flooding[D]BeiJing:China University of Geosciences(Beijing),2012:96-102.
[7]马东,吴华,曾鸣.从电阻率数据中得到相对渗透率的新方法[J].石油与天然气地质,2015,36(4):695-700.Ma Dong,Wu Hua,Zeng Ming. A new method for estimating relative permeability with resistivity data[J]. Oil&Gas Geology,2015,36(4):695-700.
[8] Ma D,Liu C,Cheng C. New relationship between resistivity index and relative permeability[J]. Journal of Energy Resources Technology,2015,137(3):032904
[9] Liu C,Li K,Ma D,Chen Y. More general relationship between capillary pressure and resistivity data in gas-water system[J]. Journal of Petroleum Science and Engineering,2016,146:505-514.
[10] Purcell W R. Capillary pressures-their measurement using mercuryand the calculation of permeability therefrom[J]. pet Petroleum Transaction Amie,1949,186(2):39-48.
[11] Li K. Interrelationship between resistivity index,capillary pressure and relative permeability[J]. Transport in Porous Media,2011,88(3):385-398
[12] Li K W,Horne R N. Comparison of methods to calculate relative permeability from capillary pressure in consolidated water wet porous media[J]. Water Resources Research,2006,42(6):285-293.