Journal ArticleDOI
Weak elastic anisotropy
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The equations governing weak anisotropy are much simpler than those governing strong anisotropic, and they are much easier to grasp intuitively as discussed by the authors, which is why they are easier to understand intuitively.Abstract:
Most bulk elastic media are weakly anisotropic. -The equations governing weak anisotropy are much simpler than those governing strong anisotropy, and they are much easier to grasp intuitively. These equations indicate that a certain anisotropic parameter (denoted 6) controls most anisotropic phenomena of importance in exploration geophysics. some of which are nonnegligible even when the anisotropy is weak. The critical parameter 6 is an awkward combination of elastic parameters, a combination which is totally independent of horizontal velocity and which may be either positive or negative in natural contexts.read more
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Journal ArticleDOI
An overview of full-waveform inversion in exploration geophysics
Jean Virieux,Stéphane Operto +1 more
TL;DR: This review attempts to illuminate the state of the art of FWI by building accurate starting models with automatic procedures and/or recording low frequencies, and improving computational efficiency by data-compression techniquestomake3DelasticFWIfeasible.
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The Rock Physics Handbook: Tools for Seismic Analysis of Porous Media
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.
MonographDOI
The Rock Physics Handbook
TL;DR: The third edition of the reference book as discussed by the authors has been thoroughly updated while retaining its comprehensive coverage of the fundamental theory, concepts, and laboratory results, and highlights applications in unconventional reservoirs, including water, hydrocarbons, gases, minerals, rocks, ice, magma and methane hydrates.
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Theory of the Earth
TL;DR: Theory of the Earth as mentioned in this paper is a theory of the origin, composition, evolution, and evolution of the entire Earth from the perspective of geology, petrology, mineralogy, geochemistry, geodesy, and seismology.
References
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Book
Physical properties of crystals
TL;DR: In this paper, the physical properties of crystals systematically in tensor notation are presented, presenting tensor properties in terms of their common mathematical basis and the thermodynamic relations between them.
Book
Single Crystal Elastic Constants and Calculated Aggregate Properties. A Handbook
Gene Simmons,Herbert F. Wang +1 more
TL;DR: In this paper, the authors present data on the elastic properties of single crystals collected from the literature through mid-1970 and the elastic property of isotropic aggregates which are calculated according to the schemes of Voigt and Reuss for all materials, and Hashin and Shtrikman for materials with cubic symmetry.
Journal ArticleDOI
Physical Properties of Crystals. By J. F. Nye . Pp. xv, 322, 50s. 1957. (Oxford: Clarendon Press)
Journal ArticleDOI
Long-Wave Elastic Anisotropy Produced by Horizontal Layering
TL;DR: In this article, a horizontally layered inhomogeneous medium is considered, whose properties are constant or nearly so when averaged over some vertical height l′, and conditions on the five elastic coefficients of a homogeneous transversely isotropic medium are derived which are necessary and sufficient for the medium to be "long-wave equivalent" to a horizontally-layered inhomogenous medium.
Journal ArticleDOI
Mechanics of Hydraulic Fracturing
M. King Hubbert,David G. Willis +1 more
TL;DR: A theoretical examination of the fracturing of rocks by means of pressure applied in boreholes leads to the conclusion that, regardless of whether the fracturing fluid is of the penetrating or non-penetrating type, the fractures produced should be approximately perpendicular to the axis of least stress as mentioned in this paper.