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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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Citations
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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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Effective Elastic Properties of Cracked Solids: Critical Review of Some Basic Concepts

TL;DR: In this paper, the problem of effective moduli of cracked solids is discussed; they are further assessed by comparing their predictions to results for sample deterministic arrays, and it is argued that, contrary to the spirit of many damage models, there is no direct quantitative correlation between progression of a microcracking solid towards fracture and deterioration of its stiffness; thus, the effective modulations may not always serve as a reliable indicator of damage.
Book

Acoustics of Porous Media

TL;DR: The physical aspects of wave propagation in porous media are discussed in this article, where the authors present a review of experimental techniques and field applications, including wave propagation and vibration in viscoelastic media, and experimental techniques for measuring velocities and attenuations.
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Velocity dispersion due to anelasticity; implications for seismology and mantle composition

TL;DR: In this paper, the Boltzmann after-effect equation is solved for a linear anelastic solid having a linear relationship between stress and strain and their first time derivatives, the ‘standard linear solid’, and having a distribution of relaxation times.

Single crystal elastic constants and calculated aggregate properties

Gene Simmons
TL;DR: In this article, the elastic properties of isotropic aggregates (Young's modulus, Poisson's ratio, shear modulus and bulk modulus) are calculated according to the schemes of Voigt and Reuss.
Journal ArticleDOI

The Elastic Properties of Composite Materials

TL;DR: In this paper, the problem of determining the elastic properties of composite materials (polycrystals, polycrystals and porous or cracked solids) is approached in several ways, via scattering theory, through variational principles, or by the assumption of specific geometries for the material under consideration.
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