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饱和多孔介质渗流的强-弱不连续统一非局部模型 被引量:1
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作者 孙宇麒 禹海涛 《同济大学学报(自然科学版)》 EI CAS CSCD 北大核心 2022年第4期481-488,共8页
非均匀饱和多孔介质流体传输模拟关键在于需要考虑由孔隙、裂隙以及不同渗透性介质组成的强–弱不连续面,但这与经典连续介质力学局部流体模型所定义的偏微分方程是不相容的,从而导致饱和多孔介质渗流模拟的困难。基于统一变分近场动力... 非均匀饱和多孔介质流体传输模拟关键在于需要考虑由孔隙、裂隙以及不同渗透性介质组成的强–弱不连续面,但这与经典连续介质力学局部流体模型所定义的偏微分方程是不相容的,从而导致饱和多孔介质渗流模拟的困难。基于统一变分近场动力学的基本思想,提出了一种向量态函数用于描述饱和多孔介质流体的非局部传输作用,并在此基础上建立饱和多孔介质流体输运的非局部空间积分–时间微分型控制方程。该非局部流体输运模型统一描述了流体在强–弱不连续面的力学行为,避免了传统局部力学模型在不连续界面处的导数无定义性,且从理论上证明,当非局部流体模型中的非局部作用半径趋于零时,非局部模型可退化为局部模型。为了消除非局部模型内在的零能模式问题,基于罚函数方法提出一种全隐式的数值求解格式以保证数值计算的精确性。最后通过算例分析,模拟了三维非均匀不连续多孔介质中流体的传输过程,揭示流体穿越物质界面、孔隙和裂隙的力学行为。为研究饱和多孔介质中流体在不连续界面传输的力学行为提供了一种分析模型。 展开更多
关键词 非均匀饱和多孔介质 局部模型 界面传输 裂隙 孔隙
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Investigation of the correlation between internal gradients and dephasing effect in inhomogeneous field 被引量:1
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作者 AN TianLin XIAO LiZhi +2 位作者 LI Xin LIU HuaBing ZHANG ZongFu 《Science China(Physics,Mechanics & Astronomy)》 SCIE EI CAS 2014年第9期1676-1683,共8页
Internal magnetic gradient plays a significant role in Nuclear Magnetic Resonance(NMR)measurements of fluid saturated porous media.The quantitative characterization and application of this physical phenomenon could ef... Internal magnetic gradient plays a significant role in Nuclear Magnetic Resonance(NMR)measurements of fluid saturated porous media.The quantitative characterization and application of this physical phenomenon could effectively improve the accuracy of NMR measurements and interpretations.In this paper,by using the equivalent magnetic dipole method,the three-dimensional distribution of internal induced magnetic field and its gradients in the randomly packed water saturated glass beads are quantitatively characterized.By simulating the diffusive motion of water molecules in porous media with random walk method,the computational dephasing effects equation related to internal gradients is deduced.Thereafter,the echo amplitudes are obtained and the corresponding T2-G spectrum is also inverted.For the sake of verifying the simulation results,an experiment is carried out using the Halbach core analyzing system(B0=0.18 T,G=2.3 T/m)to detect the induced internal field and gradients.The simulation results indicate the equivalent internal gradient is a distribution of 0.1-0.3 T/m,which matched well with the experimental results. 展开更多
关键词 porous media NMR internal gradients dephasing effect inhomogeneous field
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