致密砂岩速度频散的高阶梯度建模及其在农业地震学中的应用

中文摘要 AI 辅助

对流体饱和多孔岩石中频率相关的剪切波传播进行建模至今仍是一个挑战，因为现有的孔隙弹性理论通常依赖大量难以从地震观测中约束的本构参数。我们提出了一种动力学一致的高阶梯度连续介质模型，该模型仅使用三个有效材料参数即可再现剪切波频散：宏观剪切速度以及控制高阶弹性和梯度惯性的两个特征长度尺度。我们针对甘油饱和致密砂岩在较宽的有效压力范围内，将模型与实验室测量结果进行了验证。反演结果再现了实测的剪切波频散，包括正频散、弱频散和负频散区域。最后，我们讨论了所提公式与微极理论之间的关系、计算挑战以及降阶广义连续介质模型在地震勘探、储层表征和新兴农业地震学应用中的潜力。

英文摘要

Modeling frequency-dependent shear-wave propagation in fluid-saturated porous rocks remains a challenge today because existing poroelastic theories generally rely a large number of constitutive parameters that are difficult to constrain from seismic observations. We propose a dynamically consistent higher-gradient continuum model that reproduces shear-wave dispersion using only three effective material parameters: the macroscopic shear velocity and two characteristic length scales governing higher-order elasticity and gradient inertia. We validate the model against laboratory measurements of glycerin-saturated tight sandstone over a wide range of effective pressures. The inversion reproduces the measured shear-wave dispersion, including positive, weak and negative dispersion regimes. We finally discuss the relationship between the proposed formulation and micropolar theories, the computational challenges and the potential of reduced-order generalized continuum models for seismic exploration, reservoir characterization, and emerging agroseismology applications.

发表机构

• Institut de Physique du Globe de Paris, CNRS, Université de Paris（巴黎地球物理研究所，法国国家科学研究中心，巴黎大学）
• Indian Institute of Science Education and Research Kolkata（加尔各答印度科学教育与研究机构）
• Department of Mining Engineering, Faculty of Engineering, Tarbiat Modares University（塔比巴特莫达雷斯大学工程学院采矿工程系）
• Department of Mathematics and Statistics, Institute of Business Management（商业管理学院数学与统计系）

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