An Asymptotic Model of Seismic Reflection from a Permeable Layer
An Asymptotic Model of Seismic Reflection from a Permeable Layer
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DOI：
10.1007/s11242-010-9533-8
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发表时间：
2010-05
影响因子：
2.7
通讯作者：
D. Silin;G. Goloshubin
中科院分区：
文献类型：
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作者：
D. Silin;G. Goloshubin
对多孔弹性介质中压缩波传播的分析预测了频谱低频端高渗透层的反射峰值。明确的公式通过固体骨架的弹性模量、储层岩石的渗透率、流体粘度和压缩性以及储层厚度来表达共振频率。该结果是通过对 Biot 孔隙弹性模型的低频渐近分析获得的。对胡克定律、动量和质量平衡方程以及达西定律的主要方程的推导进行回顾，提出了对经典孔隙弹性的一些系数的另一种新的物理解释。波的传播速度、衰减因子和波数均以较小的无量纲参数的幂级数的形式表示。该参数的绝对值等于运动储层流体流度与波频率的乘积。仅保留该级数的主要项，可以得到穿过两种渗透性介质之间界面的平面波的反射和透射系数的明确且相对简单的表达式，以及来自薄的高渗透性层（透镜）的波反射。所获得的渐近公式的实际应用是地震建模、反演和属性分析。
Analysis of compression wave propagation in a poroelastic medium predicts a peak of reflection from a high-permeability layer in the low-frequency end of the spectrum. An explicit formula expresses the resonant frequency through the elastic moduli of the solid skeleton, the permeability of the reservoir rock, the fluid viscosity and compressibility, and the reservoir thickness. This result is obtained through a low-frequency asymptotic analysis of Biot’s model of poroelasticity. A review of the derivation of the main equations from the Hooke’s law, momentum and mass balance equations, and Darcy’s law suggests an alternative new physical interpretation of some coefficients of the classical poroelasticity. The velocity of wave propagation, the attenuation factor, and the wave number are expressed in the form of power series with respect to a small dimensionless parameter. The absolute value of this parameter is equal to the product of the kinematic reservoir fluid mobility and the wave frequency. Retaining only the leading terms of the series leads to explicit and relatively simple expressions for the reflection and transmission coefficients for a planar wave crossing an interface between two permeable media, as well as wave reflection from a thin highly permeable layer (a lens). Practical applications of the obtained asymptotic formulae are seismic modeling, inversion, and attribute analysis.