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DOI | 10.1029/2020JB021266 |
Wave Propagation in Infinituple-Porosity Media | |
Zhang L.; Ba J.; Carcione J.M. | |
发表日期 | 2021 |
ISSN | 21699313 |
卷号 | 126期号:4 |
英文摘要 | The fractal texture (or fabric) of porous media, which supports fluid flow at different scales, is the main cause of wave anelasticity (dispersion and attenuation) on a wide range of frequencies. To model this phenomenon, we develop a theory of wave propagation in a fluid saturated infinituple-porosity media containing inclusions at multiple scales, based on the differential effective medium (DEM) theory of solid composites and Biot-Rayleigh theory for double-porosity media. The dynamical equations are derived from first principles, that is, based on the strain (potential), kinetic, and dissipation energies, leading to generalized stiffness and density coefficients. The scale of the inclusions can be characterized by different distributions. The theory shows that the anelasticity depends on the size (radius) of the inclusions, parameter θ (exponential distribution), mean radius r0 and variance σr2 (Gaussian distribution) and the fractal dimension Df (self-similar distribution). When Df = 2, θ = 1 and σr2 = 4, the three distributions give the same P-wave velocities and attenuation, since each added inclusion phase has nearly the same volume fraction. For the modeling results, the range of anelasticity of Df = 2.99/θ = 1/σr2 = 4 is broader than that of Df < 2.99/θ < 1/σr2 < 4. To confirm the validity of the model, we compare the results with laboratory measurements on tight sandstone and carbonate samples in the range 1 Hz–1 kHz, Fox Hill sandstone (5 Hz–800 kHz) and field measurements of marine sediments (50 Hz–400 kHz). This comparison shows that the model successfully describes the observed anelasticity. © 2021. American Geophysical Union. All Rights Reserved. |
英文关键词 | dispersion; fractal porous media; infinituple-porosity media; random porous media; wave anelasticity; wave propagation equation |
语种 | 英语 |
来源期刊 | Journal of Geophysical Research: Solid Earth |
文献类型 | 期刊论文 |
条目标识符 | http://gcip.llas.ac.cn/handle/2XKMVOVA/187248 |
作者单位 | School of Earth Sciences and Engineering, Hohai University, Nanjing, China; National Institute of Oceanography and Applied Geophysics – OGS, Trieste, Italy |
推荐引用方式 GB/T 7714 | Zhang L.,Ba J.,Carcione J.M.. Wave Propagation in Infinituple-Porosity Media[J],2021,126(4). |
APA | Zhang L.,Ba J.,&Carcione J.M..(2021).Wave Propagation in Infinituple-Porosity Media.Journal of Geophysical Research: Solid Earth,126(4). |
MLA | Zhang L.,et al."Wave Propagation in Infinituple-Porosity Media".Journal of Geophysical Research: Solid Earth 126.4(2021). |
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