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

01 Jan 2011-
TL;DR: 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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Journal ArticleDOI
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.
Abstract: A compilation of compressional-wave ( V p) and shear-wave ( V s) 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. Wireline borehole logs, vertical seismic profiles, laboratory measurements, and seismic tomography models provide a diverse dataset for deriving empirical relations between crustal V p and V s. The proposed V s as a function of V p relations fit V s and V p borehole logs in Quaternary alluvium and Salinian granites as well as laboratory measurements over a 7-km/sec-wide range in V p. The relations derived here are very close to those used to develop a regional 3D velocity model for southern California, based on pre-1970 data, and thus provide support for that model. These data, and these relations, show a rapid increase in V s as V p increases to 3.5 km/sec leading to higher shear-wave velocities in young sedimentary deposits than commonly assumed. These relations, appropriate for active continental margins where earthquakes are prone to occur, suggests that amplification of strong ground motions by shallow geologic deposits may not be as large as predicted by some earlier models.

1,158 citations

Journal ArticleDOI
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.
Abstract: [1] Methane gas hydrates, crystalline inclusion compounds formed from methane and water, are found in marine continental margin and permafrost sediments worldwide. This article reviews the current understanding of phenomena involved in gas hydrate formation and the physical properties of hydrate-bearing sediments. Formation phenomena include pore-scale habit, solubility, spatial variability, and host sediment aggregate properties. Physical properties include thermal properties, permeability, electrical conductivity and permittivity, small-strain elastic P and S wave velocities, shear strength, and volume changes resulting from hydrate dissociation. The magnitudes and interdependencies of these properties are critically important for predicting and quantifying macroscale responses of hydrate-bearing sediments to changes in mechanical, thermal, or chemical boundary conditions. These predictions are vital for mitigating borehole, local, and regional slope stability hazards; optimizing recovery techniques for extracting methane from hydrate-bearing sediments or sequestering carbon dioxide in gas hydrate; and evaluating the role of gas hydrate in the global carbon cycle.

745 citations

Journal ArticleDOI
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.

453 citations

Journal ArticleDOI
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.

432 citations

Journal ArticleDOI
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%.
Abstract: Elastic property‐porosity relationships are derived directly from microtomographic images. This is illustrated for a suite of four samples of Fontainebleau sandstone with porosities ranging from 7.5% to 22%. A finite‐element method is used to derive the elastic properties of digitized images. By estimating and minimizing several sources of numerical error, very accurate predictions of properties are derived in excellent agreement with experimental measurements over a wide range of the porosity. We consider the elastic properties of the digitized images under dry, water‐saturated, and oil‐saturated conditions. The observed change in the elastic properties due to fluid substitution is in excellent agreement with the exact Gassmann's equations. This shows both the accuracy and the feasibility of combining microtomographic images with elastic calculations to accurately predict petrophysical properties of individual rock morphologies. We compare the numerical predictions to various empirical, effective medium ...

396 citations


Cites background or methods from "The Rock Physics Handbook: Tools fo..."

  • ...…our results to three of the most commonly used theoretical methods: Hashin-Shtrikman bounds (Hashin and Shtrikman, 1963), the self-consistent approximation (SCA) (Budiansky, 1965; Hill, 1965; Berryman, 1980), and the differential effective medium (DEM) approach (Berryman, 1992; Mavko et al., 1998)....

    [...]

  • ...We assign to the rock skeleton values of the elastic properties of quartz given by Mavko et al. (1998): bulk modulus K = 37.0 GPa, shear modulus µ= 44.0 GPa, and mineral density ρ= 2.65 g/cm3....

    [...]

  • ...…[µ∗(φ)] = (µ f − µ∗)Q∗, (6) with initial conditions K ∗(0)= Ks andµ∗(0)=µs, and where P∗ and Q∗ are shape dependent geometric factors for inclusions of the second phase in a background medium with effective moduli K ∗ and µ∗, as given in several texts (see, e.g., Table 4.9.1 of Mavko et al., 1998)....

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References
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Book
01 Jan 1993
TL;DR: This article presents bootstrap methods for estimation, using simple arguments, with Minitab macros for implementing these methods, as well as some examples of how these methods could be used for estimation purposes.
Abstract: This article presents bootstrap methods for estimation, using simple arguments. Minitab macros for implementing these methods are given.

37,183 citations

Book
01 Jan 1962

24,003 citations

Book
Christopher M. Bishop1
17 Aug 2006
TL;DR: Probability Distributions, linear models for Regression, Linear Models for Classification, Neural Networks, Graphical Models, Mixture Models and EM, Sampling Methods, Continuous Latent Variables, Sequential Data are studied.
Abstract: Probability Distributions.- Linear Models for Regression.- Linear Models for Classification.- Neural Networks.- Kernel Methods.- Sparse Kernel Machines.- Graphical Models.- Mixture Models and EM.- Approximate Inference.- Sampling Methods.- Continuous Latent Variables.- Sequential Data.- Combining Models.

22,840 citations

Book
01 Jan 1934
TL;DR: The theory of the slipline field is used in this article to solve the problem of stable and non-stressed problems in plane strains in a plane-strain scenario.
Abstract: Chapter 1: Stresses and Strains Chapter 2: Foundations of Plasticity Chapter 3: Elasto-Plastic Bending and Torsion Chapter 4: Plastic Analysis of Beams and Frames Chapter 5: Further Solutions of Elasto-Plastic Problems Chapter 6: Theory of the Slipline Field Chapter 7: Steady Problems in Plane Strain Chapter 8: Non-Steady Problems in Plane Strain

20,724 citations

Book
01 Jan 1973

20,541 citations