Higher--order gradient modeling of velocity dispersion in tight sandstones with implications to agroseismology
Abstract
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.
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BibTeX
@misc{abreu2026higherorder,
title = {{Higher--order gradient modeling of velocity dispersion in tight sandstones with implications to agroseismology}},
author = {Rafael Abreu and Ashay Motghare and Chahana Nagesh and Alireza Nadi and Hassam Khan},
howpublished = {HAL},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.00269},
eprint = {2610.00269},
archivePrefix = {arXiv},
url = {https://hal.science/hal-05802205v1},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Higher--order gradient modeling of velocity dispersion in tight sandstones with implications to agroseismology
AU - Rafael Abreu
AU - Ashay Motghare
AU - Chahana Nagesh
AU - Alireza Nadi
AU - Hassam Khan
PY - 2026
DA - 2026/10/01
PB - HAL
DO - 10.48550/arxiv.2610.00269
UR - https://hal.science/hal-05802205v1
AB - 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.
ER -