Open AccessBook
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.read more
Citations
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Journal ArticleDOI
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
William F. Waite,J. C. Santamarina,Douglas D. Cortes,Brandon Dugan,David N Espinoza,John T. Germaine,Jaewon Jang,Jongwon Jung,Timothy J. Kneafsey,H. Shin,Kenichi Soga,William J. Winters,Tae Sup Yun +12 more
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
Heiko Andrä,Nicolas Combaret,Jack Dvorkin,Erik Glatt,Junehee Han,Matthias Kabel,Youngseuk Keehm,Fabian Krzikalla,Minhui Lee,Claudio Madonna,Mike Marsh,Tapan Mukerji,Erik H. Saenger,Ratnanabha Sain,Nishank Saxena,Sarah Ricker,Andreas Wiegmann,Xin Zhan +17 more
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
Teng-fong Wong,Patrick Baud +1 more
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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Journal ArticleDOI
Packing of Homogeneous Spheres
TL;DR: In this paper, the average number of contacts per sphere was determined by a simple method for several porosities and was found to agree with the value computed on the above assumption.
Journal ArticleDOI
Elastic moduli of perfectly disordered composite materials
TL;DR: In this article, the overall elastic moduli of perfectly disordered composite materials are derived from the local elastic modulus in a rigorous manner using the concept of correlation functions, and the results are close to those derived by the self-consistent method.
Journal ArticleDOI
The elastic constants of anisotropic materials—II
TL;DR: The elastic constants of anisotropic materials have been studied in this article, where the elastic constants are defined as the ratio of the elasticity of a given material to its elasticity.
Journal ArticleDOI
Wave Attenuation in Saturated Sediments
Robert D. Stoll,George M. Bryan +1 more
TL;DR: In this article, a mathematical model to describe the propagation of low-amplitude waves in saturated sediments is proposed, where losses due to inelasticity of the skeletal frame and motion of the pore fluid relative to the frame are both accounted for, and each is found to be significant in a different frequency range.
Book
Mathematics applied to continuum mechanics
Lee A. Segel,G. H. Handelman +1 more
TL;DR: In this article, the authors define the geometrical requirements for three-dimensional Continuum Mechanics and define a calculus of variations for the problem of elasticity in a 3D manifold.
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A variational approach to the theory of the elastic behaviour of multiphase materials
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