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The Rock Physics Handbook: Tools for Seismic Analysis of Porous Media

TLDR
In this article, the authors present basic tools for elasticity and Hooke's law, effective media, granular media, flow and diffusion, and fluid effects on wave propagation for wave propagation.
Abstract
Preface 1. Basic tools 2. Elasticity and Hooke's law 3. Seismic wave propagation 4. Effective media 5. Granular media 6. Fluid effects on wave propagation 7. Empirical relations 8. Flow and diffusion 9. Electrical properties Appendices.

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Empirical relations between elastic wavespeeds and density in the Earth's crust

TL;DR: A compilation of compressional-wave (V p) and shear-wave velocities and densities for a wide variety of common lithologies is used to define new nonlinear, multivalued, and quantitative relations between these properties for the Earth's crust as mentioned in this paper.
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Physical properties of hydrate-bearing sediments

TL;DR: A review of the current understanding of phenomena involved in gas hydrate formation and the physical properties of hydrate-bearing sediments can be found in this paper, where the magnitudes and interdependencies of these properties are critically important for predicting and quantifying macroscale responses of hydrates to changes in mechanical, thermal, or chemical boundary conditions.
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Digital rock physics benchmarks-part II: Computing effective properties

TL;DR: This analysis provides the DRP community with a range of possible outcomes which can be expected depending on the solver and its setup, and falls within the ranges consistent with the relevant laboratory data.
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The brittle-ductile transition in porous rock: A review

TL;DR: In this article, Bifurcation analysis can be used in conjunction with a constitutive model to predict the onset of strain localization, which is in qualitative agreement with the laboratory data.
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Computation of linear elastic properties from microtomographic images: Methodology and agreement between theory and experiment

TL;DR: In this article, the elastic properties of the digitized images under dry, water-saturated, and oil -saturated conditions were derived from a suite of four samples of Fontainebleau sandstone with porosities ranging from 7.5% to 22%.
References
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Book

The packing of particles

TL;DR: The authors' interest in the subject was initially aroused by the question of whether there is an optimum particle size distribution which would maximise the packing density of particles -a question which has attracted the interest of scientists and engineers for centuries as discussed by the authors.
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Acoustic slow waves and the consolidation transition

TL;DR: In this paper, the authors investigated the ultrasonic properties of unconsolidated (loose) glass beads and of lightly fused (consolidated) glass bead when the pore space is saturated with water.
Journal ArticleDOI

Granular packings: nonlinear elasticity, sound propagation, and collective relaxation dynamics.

TL;DR: The work indicates that a correct treatment of a deforming granular assembly of soft spheres under isotropic loading should include not only the purely elastic response but also collective relaxation mechanisms related to structural disorder and nonaffine motion of grains.
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A simple technique for finding effective elastic constants of cracked solids for arbitrary crack orientation statistics

TL;DR: In this paper, a tensor transformation of the effective elastic constants for isotropic orientation statistics through the use of a second-order crack density tensor is presented, which is based on a tensorial transformation for estimating the elastic stiffness tensor.
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