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A viscoelastic representation of wave attenuation in porous media

机译：多孔介质中波衰减的粘弹性表示

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摘要

The theories developed by White and co-workers describe the complex moduli of a medium partially saturated with spherical gas pockets and those of stratified layers composed of two heterogeneous porous media. A generalization to gas patches of arbitrary shape has been given by Johnson. These models represent the mesoscopic-loss mechanism, which is one of the most significant causes of attenuation of seismic waves in reservoir rocks. Comparison of White's and Johnson's models show that, as the patch shape complexity increases, the patch geometry affects much more the relaxation frequency than it affects the maximum loss. The simulation of synthetic seismograms requires solving Biot's differential equations with very small grid spacings, because the loss mechanism involves the conversion of fast P-wave energy to diffusion energy in the form of the Biot slow wave. Because the wavelength of this wave can be very small, the poroelastic solution requires a very large amount of storage and computer time. An efficient approach is to approximate White's moduli by the Zener model and then solve the single-phase viscoelastic differential equations.
机译：怀特及其同事开发的理论描述了部分充满球形气穴的介质和由两种非均质多孔介质组成的分层层的复模量。约翰逊（Johnson）给出了对任意形状的气体补丁的概括。这些模型代表了介观损耗机制，这是储层岩石中地震波衰减的最重要原因之一。怀特模型和约翰逊模型的比较表明，随着斑块形状复杂度的增加，斑块几何形状对弛豫频率的影响远大于对最大损耗的影响。合成地震图的模拟需要求解网格间距非常小的Biot微分方程，因为损失机制涉及将快速P波能量转换为Biot慢波形式的扩散能量。由于此波的波长可能非常小，因此多孔弹性解决方案需要大量的存储和计算机时间。一种有效的方法是通过齐纳模型逼近怀特模量，然后求解单相粘弹性微分方程。

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  • 来源
    《Computers & geosciences》 |2010年第1期|44-53|共10页
  • 作者

    Stefano Picotti; Jose M. Carcione; J. German Rubino; Juan E. Santos; Fabio Cavallini;

  • 作者单位

    Borgo Grotta Gigante 42c, 34010 Sgonico, Trieste, Italy;

    Borgo Grotta Gigante 42c, 34010 Sgonico, Trieste, Italy;

    CONICET, Departamento de Geofisica Aplicada, Facultad de Ciencias Astronomicas y Geofisicas, Universidad National de La Plata, Paseo del Basque S/N, La Plata (1900), Argentina;

    CONICET, Departamento de Geofisica Aplicada, Facultad de Ciencias Astronomicas y Geofisicas, Universidad National de La Plata, Paseo del Basque S/N, La Plata (1900), Argentina Department of Mathematics, Purdue University, 150 N. University Street, West Lafayette, IN 47907-2067, USA;

    Borgo Grotta Gigante 42c, 34010 Sgonico, Trieste, Italy;

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  • 原文格式 PDF
  • 正文语种 eng
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  • 关键词

    wave attenuation; mesoscopic loss; porous media; zener model;

    机译：波衰减介观损耗多孔介质齐纳模型;

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