Journal ArticleDOI
A simple technique for finding effective elastic constants of cracked solids for arbitrary crack orientation statistics
Colin M. Sayers,Mark Kachanov +1 more
TLDR
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.About:
This article is published in International Journal of Solids and Structures.The article was published on 1991-01-01. It has received 242 citations till now. The article focuses on the topics: Tensor & Isotropy.read more
Citations
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Book
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.
Book ChapterDOI
Elastic Solids with Many Cracks and Related Problems
TL;DR: In this article, the impact of interactions on individual cracks, particularly on the stress intensity factors (SIFs), and the effective elastic properties of solids with many cracks are discussed.
Journal ArticleDOI
Seismic anisotropy of fractured rock
TL;DR: In this paper, a simple method for including the effects of geologically realistic fractures on the seismic propagation through fractured rocks can be obtained by writing the effective compliance tensor of the fractured rock as the sum of the compliance tensors of the unfractured background rock and the compliant tensors for each set of parallel fractures or aligned fractures.
Journal ArticleDOI
Microcrack-induced elastic wave anisotropy of brittle rocks
Colin M. Sayers,Mark Kachanov +1 more
TL;DR: In this article, the authors measured the elastic wave velocities in the presence of open micro-cracks and fractures and compared them with the measurements of the ultrasonic compressional and shear wave velocity for propagation parallel and perpendicular to an increasing axial stress applied at constant confining stress to Berea sandstone.
References
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Journal ArticleDOI
The Determination of the Elastic Field of an Ellipsoidal Inclusion, and Related Problems
TL;DR: In this paper, it is shown that to answer several questions of physical or engineering interest, it is necessary to know only the relatively simple elastic field inside the ellipsoid.
Journal ArticleDOI
Elastic properties of reinforced solids: some theoretical principles
TL;DR: In this paper, an elementary account of several theoretical methods of attack is given, among them the derivation of inequalities between various moduli, and the approach is completely general and exact.
Journal ArticleDOI
Elastic moduli of a cracked solid
TL;DR: In this paper, a self-consistent method for the elastic moduli of bodies containing randomly distributed flat cracks, with or without fluid in their interiors, is proposed and general concepts are outlined for arbitrary cracks and explicit derivations together with numerical results are given.
Journal ArticleDOI
Wave speeds and attenuation of elastic waves in material containing cracks
TL;DR: In this paper, the authors derived explicit expressions for the overall elastic parameters and the overall wave speeds and attenuation of elastic waves in cracked materials where the mean crack is circular, and the cracks are either aligned or randomly orientated.
Journal ArticleDOI
Seismic velocities in dry and saturated cracked solids
TL;DR: In this article, the elastic moduli of a solid permeated with an isotropic distribution of flat cracks have been calculated from the energy of a single crack by use of a self-consistent approximation.