A Pressure- and Frequency-Dependent Multiscale Model for Describing the Wave Propagation Characteristics of Fluid-Saturated Porous Media

The mechanism of wave propagation in fluid-saturated porous media is influenced by pressure and frequency. Pressure dependence is mainly dominated by the opening and closing of compliant and stiff pores in rocks, as well as nonlinear deformation respect to high-order elastic constants. Frequency dep...

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Main Authors: Jingyang Yang, Fanchang Zhang, Jun Wu
Format: Article
Language:English
Published: GeoScienceWorld 2024-12-01
Series:Lithosphere
Online Access:https://pubs.geoscienceworld.org/gsw/lithosphere/article-pdf/doi/10.2113/2024/lithosphere_2024_173/7085225/lithosphere_2024_173.pdf
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author Jingyang Yang
Fanchang Zhang
Jun Wu
author_facet Jingyang Yang
Fanchang Zhang
Jun Wu
author_sort Jingyang Yang
collection DOAJ
description The mechanism of wave propagation in fluid-saturated porous media is influenced by pressure and frequency. Pressure dependence is mainly dominated by the opening and closing of compliant and stiff pores in rocks, as well as nonlinear deformation respect to high-order elastic constants. Frequency dependence is mainly reflected in the dispersion and attenuation caused by wave-induced fluid flow (WIFF). Therefore, the propagation characteristics of seismic waves in subsurface rocks when pressure and frequency are coupled have broad practical significance, such as geofluid discrimination and in situ stress detection. A new equivalent elastic modulus applicable to fluid-saturated porous media has been established, which simultaneously considers the effects of pressure and WIFF. First, the dual-porosity model is incorporated to account for the changes in rock porosity under pressure and corresponding linear and nonlinear deformations. Then, based on the heterogeneity of rock at the mesocale and microscale, a unified pressure- and frequency-dependent elastic modulus over a wide frequency band is established using the Zener model. The wave equation of fluid-saturated porous media is constructed using the new model, and the pressure- and frequency-dependent phase velocities are derived. Rock physics and digital simulation experiments are applied to analyze the variation of elastic parameters and velocity with pressure and frequency. Comparison with experimental measurement data shows that the new model has higher accuracy than traditional models, especially in the low effective pressure region and the frequency band respect to seismic exploration.
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publishDate 2024-12-01
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spelling doaj-art-fe32dbd1c8a9447ca18ae1a08ff8550e2025-01-22T09:28:08ZengGeoScienceWorldLithosphere1941-82641947-42532024-12-012024410.2113/2024/lithosphere_2024_173A Pressure- and Frequency-Dependent Multiscale Model for Describing the Wave Propagation Characteristics of Fluid-Saturated Porous MediaJingyang Yang0https://orcid.org/0000-0002-5376-3015Fanchang Zhang1https://orcid.org/0000-0001-6802-6344Jun Wu2National Key Laboratory of Deep Oil and Gas, China University of Petroleum (East China), Qingdao, 266580, ChinaNational Key Laboratory of Deep Oil and Gas, China University of Petroleum (East China), Qingdao, 266580, ChinaSINOPEC Geophysical Research Institute, Nanjing, 210014, ChinaThe mechanism of wave propagation in fluid-saturated porous media is influenced by pressure and frequency. Pressure dependence is mainly dominated by the opening and closing of compliant and stiff pores in rocks, as well as nonlinear deformation respect to high-order elastic constants. Frequency dependence is mainly reflected in the dispersion and attenuation caused by wave-induced fluid flow (WIFF). Therefore, the propagation characteristics of seismic waves in subsurface rocks when pressure and frequency are coupled have broad practical significance, such as geofluid discrimination and in situ stress detection. A new equivalent elastic modulus applicable to fluid-saturated porous media has been established, which simultaneously considers the effects of pressure and WIFF. First, the dual-porosity model is incorporated to account for the changes in rock porosity under pressure and corresponding linear and nonlinear deformations. Then, based on the heterogeneity of rock at the mesocale and microscale, a unified pressure- and frequency-dependent elastic modulus over a wide frequency band is established using the Zener model. The wave equation of fluid-saturated porous media is constructed using the new model, and the pressure- and frequency-dependent phase velocities are derived. Rock physics and digital simulation experiments are applied to analyze the variation of elastic parameters and velocity with pressure and frequency. Comparison with experimental measurement data shows that the new model has higher accuracy than traditional models, especially in the low effective pressure region and the frequency band respect to seismic exploration.https://pubs.geoscienceworld.org/gsw/lithosphere/article-pdf/doi/10.2113/2024/lithosphere_2024_173/7085225/lithosphere_2024_173.pdf
spellingShingle Jingyang Yang
Fanchang Zhang
Jun Wu
A Pressure- and Frequency-Dependent Multiscale Model for Describing the Wave Propagation Characteristics of Fluid-Saturated Porous Media
Lithosphere
title A Pressure- and Frequency-Dependent Multiscale Model for Describing the Wave Propagation Characteristics of Fluid-Saturated Porous Media
title_full A Pressure- and Frequency-Dependent Multiscale Model for Describing the Wave Propagation Characteristics of Fluid-Saturated Porous Media
title_fullStr A Pressure- and Frequency-Dependent Multiscale Model for Describing the Wave Propagation Characteristics of Fluid-Saturated Porous Media
title_full_unstemmed A Pressure- and Frequency-Dependent Multiscale Model for Describing the Wave Propagation Characteristics of Fluid-Saturated Porous Media
title_short A Pressure- and Frequency-Dependent Multiscale Model for Describing the Wave Propagation Characteristics of Fluid-Saturated Porous Media
title_sort pressure and frequency dependent multiscale model for describing the wave propagation characteristics of fluid saturated porous media
url https://pubs.geoscienceworld.org/gsw/lithosphere/article-pdf/doi/10.2113/2024/lithosphere_2024_173/7085225/lithosphere_2024_173.pdf
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