弹性波作用下油水两相渗流耦合模型研究
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摘要
针对波动条件下油水两相渗流耦合问题,基于饱和流体储层多孔介质弹性波传播Biot理论和等效流体理论,建立了弹性波作用下一维油水两相流固耦合渗流模型.采用COMSOL数值模拟软件构建一维模拟物理模型(引入PML完美匹配层削弱边界虚假反射)及相应的系数型偏微分方程,得到了波动作用下流固耦合模型的数值解.结果表明:相对常规油水两相Darcy渗流模型,弹性波可促进油水渗流;并且愈靠近震源,振动对油水流速、压力等的影响越大,随着距离增大振动激励作用减弱.当振动频率为15Hz时,振幅为150~300μm低频波动强化采油效果最佳,从理论上进一步验证了低频波动强化采油技术的适应性和可行性.
Based on Biot theory of elastic wave propagation and equivalent fluid theory in porous medium of saturated fluid reservoir,a one-dimensional solid coupled flow model of oil and water under elastic wave is established.The numerical simulation software of COMSOL is used to construct a one-dimensional simulated physical model(introducing PML perfect matching layer to weaken the false reflection of the boundary)and the corresponding coefficient type partial differential equations,and the numerical solution of the wave action downstream solid coupling model is obtained.The results show that the elastic wave can promote the flow of oil and water compared to the conventional Darcy seepage model.And the closer to the source,the greater the impact of vibration is on the flow rate and pressure of oil and water,and the lower the stimulation effect of fluctuation is with increasing distance.Low-frequency fluctuation has the best oil recovery effect when the vibration frequency is 15 Hz,the amplitude is 150~300μm.And,the adaptability and feasibility of low-frequency fluctuation enhanced oil extraction technology are verified theoretically.
Based on Biot theory of elastic wave propagation and equivalent fluid theory in porous medium of saturated fluid reservoir,a one-dimensional solid coupled flow model of oil and water under elastic wave is established.The numerical simulation software of COMSOL is used to construct a one-dimensional simulated physical model(introducing PML perfect matching layer to weaken the false reflection of the boundary)and the corresponding coefficient type partial differential equations,and the numerical solution of the wave action downstream solid coupling model is obtained.The results show that the elastic wave can promote the flow of oil and water compared to the conventional Darcy seepage model.And the closer to the source,the greater the impact of vibration is on the flow rate and pressure of oil and water,and the lower the stimulation effect of fluctuation is with increasing distance.Low-frequency fluctuation has the best oil recovery effect when the vibration frequency is 15 Hz,the amplitude is 150~300μm.And,the adaptability and feasibility of low-frequency fluctuation enhanced oil extraction technology are verified theoretically.
引文
[1]Pranav M Karve,Sezgin Kucukcoban,Loukas F Kallivokas.On an inverse source problem for enhanced oil recovery by wave motion maximization in reservoirs[J].Comput Geosci,2015,19:233-256.
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[3]刘静,蒲春生,郑黎明,等.低频谐振波降低表面活性剂吸附特性的研究[J].应用基础与工程科学学报,2013,21(5):946-952.
[4]何延龙,蒲春生,董巧玲,等.水力脉冲波协同多氢酸酸化解堵反应动力学模型[J].石油学报,2016,37(4):499-507.
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[7]刘静,蒲春生,林承焰,等.低频振动单相不可压缩流体细管流动微观动力学数学模型研究[J].天然气地球科学,2014,25(10):1 610-1 614.
[8]Wen Deng,M Bayani Cardenas.Dynamics and dislodgment from pore constrictions of a trapped nonwetting droplet stimulated by seismic waves[J].Water Resources Research,2013,49:4 206-4 218.
[9]Zheng Liming,Li Zifeng.Numerical analysis of simulation accuracy for seepage change in one-dimensional layer under low-frequency wave[J].Geotechnical and Geological Engineering,2018,36:497-519.
[10]Mehmet Bar爧,Canlker.Modeling of dynamic response of poroelastic soil layers under wave loading[J].Frontiers of Structural and Civil Engineering,2014,8(1):1-18.
[11]郑黎明,刘静,蒲春生,等.波动采油对饱和单相一维储层模型渗流的影响分析[J].岩石力学与工程学报,2016,35(10):2 098-2 105.
[12]郑黎明,蒲春生,李悦静,等.低频振动对低渗油藏径向渗流影响的变参量Biot固结分析[J].岩土工程学报,2017,39(4):752-758.
[13]Biot M A,Willis P G.The elastic coefficients of the theory of consolidation[J].J.Appl.Mech,1957,24:597-601.
[14]Biot M A.Theory of propagation of elastic waves in a fluid-saturated porous solid,I.low-frequncy range[J].Journal of the Acoustical Society of America,1956,28:168-178.
[15]Dvorkin J,Nur A.Dynamic poroelasticity:A unified model with the squirt and the Biot mechanisms[J].Geophysics,1993,58(4):524-533.
[16]刘静,蒲春生,郑黎明,等.低频振动对原油黏度影响的实验研究[J].科学技术与工程,2012,12(27):7 061-7 067.
[2]侯勇俊,周然,龙小康,等.井下振动采油装置直线驱动器的仿真设计[J].石油机械,2016,44(1):92-96.
[3]刘静,蒲春生,郑黎明,等.低频谐振波降低表面活性剂吸附特性的研究[J].应用基础与工程科学学报,2013,21(5):946-952.
[4]何延龙,蒲春生,董巧玲,等.水力脉冲波协同多氢酸酸化解堵反应动力学模型[J].石油学报,2016,37(4):499-507.
[5]刘静,蒲春生,林承焰,等.低频谐振波作用下单相流体渗流模型研究[J].科学技术与工程,2014,14(10):31-33.
[6]王瑞飞,孙卫,张荣军,等.井下低频振动提高原油采收率技术研究[J].西北大学学报(自然科学版),2006,36(3):457-460.
[7]刘静,蒲春生,林承焰,等.低频振动单相不可压缩流体细管流动微观动力学数学模型研究[J].天然气地球科学,2014,25(10):1 610-1 614.
[8]Wen Deng,M Bayani Cardenas.Dynamics and dislodgment from pore constrictions of a trapped nonwetting droplet stimulated by seismic waves[J].Water Resources Research,2013,49:4 206-4 218.
[9]Zheng Liming,Li Zifeng.Numerical analysis of simulation accuracy for seepage change in one-dimensional layer under low-frequency wave[J].Geotechnical and Geological Engineering,2018,36:497-519.
[10]Mehmet Bar爧,Canlker.Modeling of dynamic response of poroelastic soil layers under wave loading[J].Frontiers of Structural and Civil Engineering,2014,8(1):1-18.
[11]郑黎明,刘静,蒲春生,等.波动采油对饱和单相一维储层模型渗流的影响分析[J].岩石力学与工程学报,2016,35(10):2 098-2 105.
[12]郑黎明,蒲春生,李悦静,等.低频振动对低渗油藏径向渗流影响的变参量Biot固结分析[J].岩土工程学报,2017,39(4):752-758.
[13]Biot M A,Willis P G.The elastic coefficients of the theory of consolidation[J].J.Appl.Mech,1957,24:597-601.
[14]Biot M A.Theory of propagation of elastic waves in a fluid-saturated porous solid,I.low-frequncy range[J].Journal of the Acoustical Society of America,1956,28:168-178.
[15]Dvorkin J,Nur A.Dynamic poroelasticity:A unified model with the squirt and the Biot mechanisms[J].Geophysics,1993,58(4):524-533.
[16]刘静,蒲春生,郑黎明,等.低频振动对原油黏度影响的实验研究[J].科学技术与工程,2012,12(27):7 061-7 067.
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