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Study of imbibition in various geometries using phase field method 用相场法研究不同几何形状的渗吸
Q1 Physics and Astronomy Pub Date : 2019-12-25 DOI: 10.26804/capi.2019.04.01
Junfeng Xiao, Youming Luo, Muyuan Niu, Wang Qiang, Wu Jiali, Liu Xiang, Jianfeng Xu
Phase field method has been widely utilized to study multiphase flow problems, but has seldom been applied to the study of imbibition. Previous methods used to simulate imbibition, such as moving mesh method, need to specify capillary pressure as a boundary condition a priori, whereas phase field method can calculate capillary pressure automatically for various geometries. Therefore, phase field method would be a versatile tool for the study of imbibition in various geometries. In this paper, phase field method is employed to solve dynamical imbibition problem in various geometries, including straight tube, conical tube and structures in which the topology changes. The variation of the imbibition height with respect to time from phase field simulation is verified with theoretical predictions from Lucas-Washburn law in a straight capillary tube with three gravitational scenarios. In addition, the capillary pressure and velocity field are found to be consistent with Laplace-Young equation and Hagen-Poiseuille equation in various geometries. The applicability and accuracy of the phase field method for the study of imbibition in structures with changing topology are also discussed. Cited as : Xiao, J., Luo, Y., Niu, M., Wang, Q., Wu, J., Liu, X., Xu, J. Study of imbibition in various geometries using phase field method. Capillarity, 2019, 2(4): 57-65, doi: 10.26804/capi.2019.04.01.
相场法被广泛应用于研究多相流问题,但很少应用于研究渗吸问题。以往模拟渗吸的方法,如移动网格法,需要预先指定毛管压力作为边界条件,而相场法可以自动计算各种几何形状的毛管压力。因此,相场法将成为研究各种几何形状吸积的通用工具。本文采用相场法求解了直管、锥形管和拓扑变化结构等不同几何形状下的动态渗吸问题。用卢卡斯-沃什伯恩定律的理论预测验证了相场模拟所得的吸积高度随时间的变化规律。此外,毛细管压力场和速度场在各种几何形状下都符合拉普拉斯-杨方程和Hagen-Poiseuille方程。讨论了相场法在变化拓扑结构中吸吮研究的适用性和准确性。引用本文:肖军,罗,杨,牛,明,王,强,吴,健,刘,祥,徐军。用相场法研究不同几何形状的渗吸。毛细管学,2019,2(4):57-65,doi: 10.26804/capi.2019.04.01。
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引用次数: 15
A fractal-based model for soil water characteristic curve over entire range of water content 基于分形的全范围土壤水分特征曲线模型
Q1 Physics and Astronomy Pub Date : 2019-12-25 DOI: 10.26804/capi.2019.04.02
Tingxu Jin, Xin Cai, Yin Chen, Shanshan Jiang, Wei Wei
Soil water characteristic curve (SWCC) has been an important role in hydraulic engineering, civil engineer and petroleum engineering, etc. Most of SWCC models neglected the film flow in the dry state, so that they cannot accurately describe the SWCC over entire range of water content. In this work, an alternative fractal model is proposed to predict the SWCC over entire range of water content by combining Campbell and Shiozawa model and Tao model. The proposed model can well predict twelve sets of experimental data, and its parameters, including the fractal dimension, the saturated volumetric water content, the matric suction at oven-dry condition, and the air-entry value, accord with theoretical value. The results show that there is a strong linear relationship between volumetric water content and matrix suction in log-log scale for different fractal pore-size distribution of soils. In addition, good agreement is obtained between the experimental data and the model predictions in all of the cases. Cited as : Jin, T., Cai, X., Chen, Y., Jiang, S., Wei, W. A fractal-based model for soil water characteristic curve over entire range of water content. Capillarity, 2019, 2(4): 66-75, doi: 10.26804/capi.2019.04.02.
土壤水分特征曲线(SWCC)在水利工程、土木工程和石油工程等领域有着重要的应用。大多数SWCC模型忽略了干态下的膜流,无法准确描述整个含水率范围内的SWCC。本文将Campbell和Shiozawa模型与Tao模型相结合,提出了一种可替代的分形模型来预测整个含水率范围内的SWCC。该模型能较好地预测12组试验数据,分形维数、饱和体积含水量、烘干条件下基质吸力、进风值等参数与理论值基本一致。结果表明:对于不同分形孔径分布的土壤,在对数-对数尺度上,体积含水量与基质吸力之间存在较强的线性关系;此外,在所有情况下,实验数据与模型预测结果吻合较好。引用本文:金,谭,蔡晓,陈,杨,蒋,生,魏伟。全范围含水量土壤水分特征曲线的分形模型。毛细管学,2019,2(4):66-75,doi: 10.26804/capi.2019.04.02。
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引用次数: 6
A brief review of the phase-field-based lattice Boltzmann method for multiphase flows 多相流的基于相场的晶格玻尔兹曼方法综述
Q1 Physics and Astronomy Pub Date : 2019-10-02 DOI: 10.26804/capi.2019.03.01
Huili Wang, Xiaolei Yuan, H. Liang, Z. Chai, B. Shi
In this paper, we present a brief overview of the phase-field-based lattice Boltzmann method (LBM) that is a distinct and efficient numerical algorithm for multiphase flow problems. We first give an introduction to the mathematical theory of phase-field models for multiphase flows, and then present some recent progress on the LBM for the phase-field models which are composed of the classic Navier-Stokes equations and the Cahn-Hilliard or Allen-Cahn equation. Finally, some applications of the phase-field-based LBM are also discussed. Cited as : Wang, H., Yuan, X., Liang, H., Chai, Z., Shi, B. A brief review of the phase-field-based lattice Boltzmann method for multiphase flows. Capillarity, 2019, 2(3): 33-52, doi: 10.26804/capi.2019.03.01.
本文简要介绍了基于相场的晶格玻尔兹曼方法(LBM),这是一种独特而有效的多相流问题的数值算法。本文首先介绍了多相流相场模型的数学理论,然后介绍了由经典的Navier-Stokes方程和Cahn-Hilliard或Allen-Cahn方程组成的相场模型的LBM的一些最新进展。最后,讨论了基于相场的LBM的一些应用。引用本文:王辉,袁翔,梁辉,柴志强,石斌。多相流基于相场的晶格玻尔兹曼方法综述。毛细管学,2019,2(3):33-52,doi: 10.26804/capi.2019.03.01。
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引用次数: 101
A brief review of the correlation between electrical properties and wetting behaviour in porous media 简要回顾了多孔介质中电学性质与润湿行为之间的关系
Q1 Physics and Astronomy Pub Date : 2019-09-25 DOI: 10.26804/capi.2019.03.02
Shuai Li, S. Hou
Wettability is a critical interface property for two-phase flow and reactive transport process in porous media. Wettability alteration is considered as the dominated mechanism for enhanced oil recovery during low salinity waterflooding. The conventional characterization of wettability by contact angle at a single substrate and Amott method at core are limited. In this minireview, we introduce recent improvements in characterization of the electrochemical properties of an interfacial layer formed at the mineral-water interface, and review the application of surface potential (i.e., zeta potential) as an invasive and reliable technique to characterise the wetting behaviour of sample core across different geochemistry conditions. In order to resolve the puzzle of the wettability alteration in an oil-brine-rock system, experimental studies combined with numerical simulations across multiscale and variable geochemistry conditions are required for the future investigation. Cited as : Li, S., Hou, S. A brief review of the correlation between electrical properties and wetting behaviour in porous media. Capillarity, 2019, 2(3): 53-56, doi: 10.26804/capi.2019.03.02.
润湿性是多孔介质中两相流动和反应输运过程的关键界面性质。润湿性蚀变被认为是低矿化度水驱提高采收率的主要机理。传统的表征润湿性的方法是在单一基材上的接触角和在核心处的Amott方法是有限的。在这篇小型综述中,我们介绍了最近在表征矿物质-水界面形成的界面层的电化学特性方面的改进,并回顾了表面电位(即zeta电位)作为一种侵入性和可靠的技术在不同地球化学条件下表征样品岩心润湿行为的应用。为了解决油-盐-岩体系润湿性变化的难题,需要在多尺度和不同地球化学条件下进行实验研究和数值模拟相结合的研究。引用自:李,生,侯,生。多孔介质中电学性质与润湿行为的关系综述。毛细管学,2019,2(3):53-56,doi: 10.26804/capi.2019.03.02。
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引用次数: 15
Spontaneous imbibition in shale: A review of recent advances 页岩自发渗吸:最新进展综述
Q1 Physics and Astronomy Pub Date : 2019-09-05 DOI: 10.26804/CAPI.2019.02.01
Caoxiong Li, H. Singh, Jianchao Cai
Spontaneous imbibition in shale is commonly observed during and after hydraulic fracturing. This mechanism greatly influences hydrocarbon recovery in shale plays, therefore attracting increasing attention from researchers. The number of related publications is increasing. In this review, we summarize the recent advances in shale spontaneous imbibition from three aspects, namely, conventional spontaneous imbibition models, common experimental methods, and key mechanisms that need to be focused on. The major influencing factors on the shale imbibition process are discussed, and promising future works are presented on the basis of the merits and demerits of the recent studies. This study discusses the mechanisms of shaleliquid interaction, the complexity of multiphase flow in shale plays, and highlights the achievements and challenges in shale imbibition research. Cited as : Li, C., Singh, H., Cai, J. Spontaneous imbibition in shale: A review of recent advances. Capillarity, 2019, 2(2): 17-32, doi: 10.26804/capi.2019.02.01.
页岩中自发渗吸现象在水力压裂过程中和压裂后普遍存在。这一机制对页岩油气采收率影响很大,因此越来越受到研究人员的关注。相关出版物的数量正在增加。本文从常规自吸模型、常用实验方法和需要重点研究的关键机理三个方面综述了近年来页岩自吸研究的进展。讨论了影响页岩渗吸过程的主要因素,并在总结现有研究成果的基础上,展望了今后的研究方向。探讨了页岩储层中页岩液相互作用的机理、多相流的复杂性,重点介绍了页岩渗吸研究的成果和面临的挑战。引用本文:李春华,辛格,蔡俊。页岩自发渗吸研究进展综述。毛细管学,2019,2(2):17-32,doi: 10.26804/capi.2019.02.01。
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引用次数: 59
Phase equilibrium calculations in shale gas reservoirs 页岩气储层相平衡计算
Q1 Physics and Astronomy Pub Date : 2019-03-25 DOI: 10.26804/capi.2019.01.02
Tao Zhang, Yiteng Li, Shuyu Sun
Cited as: Zhang, T., Li, Y., Sun, S. Phase equilibrium calculations in shale gas reservoirs. Capillarity, 2019, 2(1): 8-16, doi: 10.26804/capi.2019.01.02. Abstract: Compositional multiphase flow in subsurface porous media is becoming increasingly attractive due to issues related with enhanced oil recovery, CO2 sequestration and the urgent need for development in unconventional oil/gas reservoirs. One key effort to construct the mathematical model governing the compositional flow is to determine the phase compositions of the fluid mixture, and then calculate other related physical properties. In this paper, recent progress on phase equilibrium calculations in unconventional reservoirs has been reviewed and concluded with authors’ own analysis, especially focusing on the special mechanisms involved. Phase equilibrium calculation is the main approach to investigate phase behaviors, which could be conducted using different variable specifications, such as the NPT flash and NVT flash. Recently, diffuse interface models, which have been proved to possess a high consistency with thermodynamic laws, have been introduced in the phase equilibrium calculation, incorporating the realistic equation of state (EOS), e.g. Peng-Robinson EOS. In the NVT flash, the Helmholtz free energy is minimized instead of the Gibbs free energy used in NPT flash, and this thermodynamic state function is decomposed into two terms using the convex-concave splitting technique. A semi-implicit numerical scheme is applied to the dynamic model, which ensures the thermodynamic stability and then preserves the fast convergence property. A positive definite coefficient matrix is designed to meet the Onsager reciprocal principle so as to keep the entropy increasing property in the presence of capillary pressure, which is required by the second law of thermodynamics. The robustness of the proposed algorithm is demonstrated by using two numerical examples, one of which has up to seven components. In the complex fluid mixture, special phenomena could be captured from the global minimum of tangent plane distance functions and the phase envelope. It can be found that the boundary between the single-phase and vapor-liquid two phase regions shifts in the presence of capillary pressure, and then the area of each region changes accordingly. Furthermore, the effect of the nanopore size distribution on the phase behavior has been analyzed and a multi-scale scheme is presented based on literature reviews. Fluid properties including swelling factor, criticality, bubble point and volumetrics have been investigated thoroughly by comparing with the bulk fluid flow in a free channel.
引用自:张涛,李勇,孙诗。页岩气储层相平衡计算。毛细管学,2019,2(1):8-16,doi: 10.26804/capi.2019.01.02。摘要:由于提高采收率、封存CO2以及非常规油气藏开发的迫切需要,地下多孔介质组分多相流技术越来越受到人们的关注。建立控制组分流动的数学模型的一个关键工作是确定流体混合物的相组成,然后计算其他相关的物理性质。本文综述了近年来非常规储层相平衡计算的研究进展,并结合作者的分析对其进行了总结,重点介绍了相平衡计算的特殊机理。相平衡计算是研究相行为的主要方法,可以采用不同的可变规格,如NPT闪蒸和NVT闪蒸。近年来,在相平衡计算中引入了与热力学定律高度一致的弥散界面模型,其中包含了现实状态方程(EOS),如Peng-Robinson EOS。在NVT闪蒸中,采用极小化亥姆霍兹自由能代替NPT闪蒸中的吉布斯自由能,并利用凹凸分裂技术将该热力学状态函数分解为两项。对动力学模型采用半隐式数值格式,既保证了热力学稳定性,又保持了快速收敛性。设计了一个符合Onsager倒易原理的正定系数矩阵,以保持毛细管压力存在时的熵增加特性,满足热力学第二定律的要求。通过两个算例验证了该算法的鲁棒性,其中一个算例包含多达七个分量。在复杂流体混合物中,切平面距离函数的全局最小值和相包络可以捕捉到特殊现象。可以发现,在毛细管压力存在下,单相区和气液两相区之间的边界发生了位移,各区域的面积也随之发生了变化。此外,分析了纳米孔尺寸分布对相行为的影响,并在文献综述的基础上提出了多尺度方案。通过与自由通道中流体流动的比较,对膨胀系数、临界、气泡点和体积等流体特性进行了深入的研究。
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引用次数: 18
Local instabilities during capillary-dominated immiscible displacement in porous media 多孔介质中毛细管主导的非混相驱替过程中的局部不稳定性
Q1 Physics and Astronomy Pub Date : 2019-02-05 DOI: 10.26804/CAPI.2019.01.01
Yang Liu, S. Iglauer, Jianchao Cai, M. A. Amooie, C. Qin
Fully understanding the mechanism of pore-scale immiscible displacement dominated by capillary forces, especially local instabilities and their influence on flow patterns, is essential for various industrial and environmental applications such as enhanced oil recovery, CO2 geo-sequestration and remediation of contaminated aquifers. It is well known that such immiscible displacement is extremely sensitive to the fluid properties and pore structure, especially the wetting properties of the porous medium which affect not only local interfacial instabilities at the micro-scale, but also displacement patterns at the macro-scale. In this review, local interfacial instabilities under three typical wetting conditions, namely Haines jump events during weakly-wetting drainage, snap-off events during strongly-wetting imbibition, and the co-existence of concave and convex interfaces under intermediate-wet condition, are reviewed to help understand the microscale physics and macroscopic consequences resulting in natural porous media.
充分了解毛细管力主导的孔隙尺度非混相驱替机理,特别是局部不稳定性及其对流动模式的影响,对于提高采收率、二氧化碳地质封存和污染含水层修复等各种工业和环境应用至关重要。众所周知,这种非混相驱移对流体性质和孔隙结构极为敏感,尤其是多孔介质的润湿特性,不仅在微观尺度上影响局部界面的不稳定性,而且在宏观尺度上影响位移模式。本文综述了三种典型润湿条件下的局部界面不稳定性,即弱润湿排水过程中的Haines跳跃事件、强润湿吸胀过程中的断裂事件以及中湿条件下凹凸界面共存,以帮助理解自然多孔介质的微观物理和宏观后果。
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引用次数: 23
Recent advances in spontaneous imbibition with different boundary conditions 不同边界条件下的自发渗吸研究进展
Q1 Physics and Astronomy Pub Date : 2018-06-25 DOI: 10.26804/capi.2018.03.01
Qingbang Meng, Jianchao Cai
Spontaneous imbibition plays an important role in many practical processes, such as oil recovery, hydrology, and environmental engineering. The development in spontaneous imbibition goes fast in the past few years. In this paper, we focus on boundary conditions of spontaneous imbibition, which has important effects on spontaneous imbibition rate and efficiency. We introduce the fundamental physical mechanism of spontaneous imbibition with different boundary conditions by capillary model. Then, the studies of spontaneous imbibition in core scale are reviewed. The feature of spontaneous imbibition with different boundary conditions is discussed and the relative permeability for co- and counter-current imbibition is analyzed. The scaling of imbibition data with different boundary condition is also discussed by combination of experimental and numerical methods. At last, the analytical model of spontaneous imbibition is discussed. Cited as : Meng, Q., Cai, J. Recent advances in  spontaneous imbibition with different  boundary conditions. Capillarity, 2018,  1(3): 19-26, doi:  10.26804/capi.2018.03.01
自发渗吸在采油、水文、环境工程等诸多实际过程中发挥着重要作用。近年来,自然渗吸技术发展较快。本文重点研究了对渗吸速率和效率有重要影响的渗吸边界条件。本文用毛细管模型介绍了不同边界条件下自发渗吸的基本物理机制。然后,对岩心尺度下的自发渗吸研究进行了综述。讨论了不同边界条件下的自发渗吸特性,分析了共渗和逆流渗吸的相对渗透率。采用实验与数值相结合的方法,讨论了不同边界条件下渗吸数据的标度问题。最后讨论了自发渗吸的解析模型。引用本文:孟强,蔡俊。不同边界条件下的自然渗吸研究进展。毛细管学,2018,1(3):19-26,doi: 10.26804/capi.2018.03.01
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引用次数: 19
The dynamic effect in capillary pressure during the displacement process in ultra-low permeability sandstone reservoirs 特低渗透砂岩储层驱替过程中毛管压力的动态影响
Q1 Physics and Astronomy Pub Date : 2018-06-24 DOI: 10.26804/CAPI.2018.02.01
Ying Li, Haitao Li, Jianchao Cai, Qirui Ma, Jianfeng Zhang
The relationship between the capillary pressure and saturation is a primary factor to describe and simulate the multiphase flow. This relationship is also fundamental to understand the characteristics of oil and gas reservoirs and make the reservoir development plan. Traditionally, the capillary pressure is measured under the equilibrium process; however, this equilibrium is hard to establish when the multiphase flow is expected in low to tight permeability porous media, and the capillary pressure is dynamic. This laboratory study conducts specially designed dynamic displacement experiments to examine the dynamic effect in capillary pressure in ultra-low permeability sandstone oil reservoirs. The dynamic capillary pressure, the dynamic relative permeabilities, the dynamic coefficient and the change rate of water saturation are obtained. Results show that the dynamic coefficient is relatively larger in ultra-low permeability reservoirs compared with that in high to low permeability reservoirs. Difference between the dynamic and the steady capillary pressures becomes more significant for less permeable porous media, with a higher dynamic coefficient and a stronger dynamic effect. Wettability advancement has been triggered during the dynamic displacement process, which is responsible for the water-wet rock before the displacement to be oil-wet during the displacement process. The difference between the dynamic and the steady relative permeabilities becomes obvious, and the dynamic effect in capillary pressure cannot be neglected when the permeability reaches ultra-low. The dynamic coefficient can reveal the shape of the displacement front. Cited as : Li, Y., Li, H., Cai, J., Ma, Q., Zhang, J. The dynamic effect in capillary pressure during the displacement process in ultra-low permeability sandstone reservoirs. Capillarity, 2018, 1(2): 11-18, doi: 10.26804/capi.2018.02.01.
毛细管压力与饱和度的关系是描述和模拟多相流的重要因素。这种关系也是认识油气藏特征、制定油藏开发规划的基础。传统上,毛细管压力是在平衡过程下测量的;然而,当多相流在低渗透至致密的多孔介质中,且毛管压力是动态的时,这种平衡很难建立。本实验室通过专门设计的动态驱替实验,研究了特低渗透砂岩油藏毛管压力的动态影响。得到了动态毛管压力、动态相对渗透率、动态系数和含水饱和度变化率。结果表明:超低渗透储层的动态系数相对于高、低渗透储层的动态系数较大;对于渗透性较低的多孔介质,动、稳态毛管压力差异更显著,动系数更高,动效应更强。动态驱替过程触发了润湿性提升,导致驱替前的水湿岩在驱替过程中变为油湿岩。动态相对渗透率与稳态相对渗透率差异明显,渗透率达到超低时毛管压力的动态影响不容忽视。动力系数可以反映出位移锋的形状。引用本文:李勇,李辉,蔡军,马强,张军。特低渗透砂岩储层驱替过程中毛管压力的动态影响。毛细管学,2018,1(2):11-18,doi: 10.26804/capi.2018.02.01。
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引用次数: 14
期刊
Capillarity
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