卢明辉, 巴 晶, 杨慧珠. 含粘滞流体孔隙介质中的弹性波[J]. 工程力学, 2009, 26(5): 36-040.
引用本文: 卢明辉, 巴 晶, 杨慧珠. 含粘滞流体孔隙介质中的弹性波[J]. 工程力学, 2009, 26(5): 36-040.
LU Ming-hui, BA Jing, YANG Hui-zhu. PROPAGATION OF ELASTIC WAVES IN A VISCOUS FLUID-SATURATED POROUS SOLID[J]. Engineering Mechanics, 2009, 26(5): 36-040.
Citation: LU Ming-hui, BA Jing, YANG Hui-zhu. PROPAGATION OF ELASTIC WAVES IN A VISCOUS FLUID-SATURATED POROUS SOLID[J]. Engineering Mechanics, 2009, 26(5): 36-040.

含粘滞流体孔隙介质中的弹性波

PROPAGATION OF ELASTIC WAVES IN A VISCOUS FLUID-SATURATED POROUS SOLID

  • 摘要: 针对含稠油储层,从液相的粘弹性本构关系出发,给出了含粘滞流体孔隙介质模型及相应的弹性波波动方程。对纵横波的频散关系进行量纲分析,提出了慢横波的特征频率,为将来在实际中观测到慢横波现象提供了理论依据。数值模拟分析了含粘滞流体孔隙介质模型中4种弹性波的波速、衰减随孔隙度、频率变化的规律。结果表明:慢横波主要在孔隙流体中传播,高频低孔隙度时,相速度较高。

     

    Abstract: To describe the behavior of the viscous oil-bearing reservoir, a viscous-porous model is proposed in view of the liquid viscoelastic constitutive relation, and also, its elastic wave equations are presented. Through dimension analysis of dispersive relationships of dilatational waves and rotational waves, the characteristic frequency at which the slow shear wave exists is deduced, which provides theoretical evidence to record the slow shear wave in future. Numerical analyzes are performed to study the changing of the phase velocity and the attenuation of the four elastic waves with porosity and frequency. The results show that the slow S-wave propagates mainly in the porous fluid and the phase velocity of the slow S-wave is fast in the porous media with low porosity and high frequency.

     

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