Effective elastic properties of porous rocks with fluid-filled vugs

Markov, M.; Markova, I.; Ávila-Carrera, R.

doi:10.1016/j.jappgeo.2021.104393

Cited by 4 publications

(2 citation statements)

References 27 publications

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“…A.S. Semenov [74] investigated the effective resistivity of paralloid-shaped inclusions, while A.M. Nechai [75] approximated real media with lumped parameters to obtain effective resistivity for cube-shaped inclusions. Similar conclusions were drawn in [6][7][8][9][10], which discuss the dependence of effective electrical conductivity on the number of inclusions. The authors also explored models that describe the dependence of elastic and electromagnetic parameters on grain shape, specifically the aspect ratio [76].…”

Section: Calculations Of the Effective Electric Conductivity Of Rockssupporting

confidence: 76%

“…To account for various geological factors, it is necessary to establish a rigorous physical model of the rock with an appropriate mathematical formulation. Various methods exist to establish the relationship between microstructure and porous material properties, such as those described in [6][7][8][9][10][11][12] for elastic deformation and those for homogenization [13].…”

Section: Introductionmentioning

confidence: 99%

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Electromagnetic Monitoring of Modern Geodynamic Processes: An Approach for Micro-Inhomogeneous Rock through Effective Parameters

2023

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This study focuses on microscale anisotropy in rock structure and texture, exploring its influence on the macro anisotropic electromagnetic parameters of the geological media, specifically electric conductivity (σ), relative permittivity (ε), and magnetic permeability (μ). The novelty of this research lies in the advancement of geophysical monitoring methods for calculating cross properties through the estimation of effective parameters—a kind of integral macroscopic characteristic of media mostly used for composite materials with inclusions. To achieve this, we approximate real geological media with layered bianisotropic media, employing the effective media approximation (EMA) averaging technique to simplify the retrieval of the effective electromagnetic parameters (e.g., apparent resistivity–inversely proportional to electrical conductivity). Additionally, we investigate the correlation between effective electromagnetic parameters and geodynamic processes, which is supported by the experimental data obtained during monitoring studies in the Tien Shan region. The observed decrease and increase in apparent electrical resistivity values of ρk over time in orthogonal azimuths leads to further ρk deviations of up to 80%. We demonstrate that transitioning to another coordinate system is equivalent to considering gradient anisotropic media. Building upon the developed method, we derive the effective electric conductivity tensor for gradient anisotropic media by modeling the process of fracturing in a rock mass. Research findings validate the concept that continuous electromagnetic monitoring can aid in identifying natural geodynamic disasters based on variations in integral macroscopic parameters such as electrical conductivity. The geodynamic processes are closely related to seismicity and stress regimes with provided constraints. Therefore, disasters such as earthquakes are damaging and seismically hazardous.

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