Porosity dependence of the elastic modulus of lithophysae-rich tuff: numerical and experimental investigations

Avar, B. B.; Hudyma, Nick; Karakouzian, Moses

doi:10.1016/s1365-1609(03)00074-1

Cited by 37 publications

(10 citation statements)

References 19 publications

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“…Fig. 9 may represent a cut through a material with spherical randomly disperse particles as done in Avar et al (2003) and Mogilevskaya et al (2007). Such material can be considered isotropic.…”

Section: 122mentioning

confidence: 99%

“…Such material can be considered isotropic. Avar et al (2003) used the finite-difference-based code FLAC and in Mogilevskaya et al (2007) used the boundary integral method combined with Fourier series. In both papers the RVE concept was employed and the RVEs with the predefined porosity were generated.…”

Section: 122mentioning

confidence: 99%

“…Two other sides of the RVE were assumed to be traction-free. In Avar et al (2003), the load was applied as a displacement velocity that was preassigned to the grid points at the top and bottom of the mesh for each RVE and the horizontal movements were constrained at these surfaces. These authors assumed that the Poisson's ratio of the matrix was equal to either 0.1, 0.2, 0.3 or 0.4.…”

Section: 122mentioning

confidence: 99%

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Equivalent inhomogeneity method for evaluating the effective elastic properties of unidirectional multi-phase composites with surface/interface effects

Mogilevskaya

Crouch

Stolarski

et al. 2010

International Journal of Solids and Structures

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a b s t r a c tA new technique is presented for evaluating the effective properties of linearly elastic, multi-phase unidirectional composites. Various effects on the fiber/matrix interfaces (perfect bond, homogeneously imperfect interfaces, uniform interphase layers) are allowed. The analysis of nano-composite materials based on the Gurtin and Murdoch model of material surface is also included. The basic idea of the approach is to construct a circular inhomogeneity in an infinite plane whose effects on the displacements and stresses at distant points are the same as those of a finite cluster of inhomogeneities (fibers of circular cross-section) arranged in a pattern representative of the composite material in question. The elastic properties of the equivalent inhomogeneity then define the effective elastic properties of the material. The volume ratio of the composite material is found after the size of the equivalent circular inhomogeneity is defined in the course of the solution procedure. This procedure is based on a semi-analytical solution of a problem of an infinite plane containing a cluster of non-overlapping circular inhomogeneities subjected to loading at infinity. The method works equally well for periodic and random composites and -importantly -eliminates the necessity for averaging either stresses or strains. New results for nano-composite materials are presented.

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Section: 122mentioning

confidence: 99%

Section: 122mentioning

confidence: 99%

Section: 122mentioning

confidence: 99%

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Equivalent inhomogeneity method for evaluating the effective elastic properties of unidirectional multi-phase composites with surface/interface effects

Mogilevskaya

Crouch

Stolarski

et al. 2010

International Journal of Solids and Structures

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“…It is assumed that samples taken from outcrops exhibit similar material and mechanical properties to those sampled from boreholes within the tunnels. The modulus and strength values were already presented in Avar et al [13] and Hudyma et al [14]. Price [11] performed additional tests on larger size cylindrical specimens, three from the lower lithophysae zone and six from the upper lithophysae zone (length to diameter ratio varies from approximately 1.7 to 2) also taken from outcrops near Yucca Mountain [11].…”

Section: Test Datamentioning

confidence: 99%

Observations on the influence of lithophysae on elastic (Young's) modulus and uniaxial compressive strength of Topopah Spring Tuff at Yucca Mountain, Nevada, USA

Avar

Hudyma

2007

International Journal of Rock Mechanics and Mining Sciences

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“…Another important aim of the present study is to understand the possible relation between petrophysical and mechanical properties of deformed rock. Dependence of rock strength on porosity has been studied in porous rocks such as sandstones and chalks by many researchers [25][26][27][28][29][30]. Palchik [25] has studied the relationship between uniaxial compressive strength and porosity by uniaxial compression test, and Palchik [26] has studied the application of Mohr-Coulomb failure criterion to the porous sandy shales.…”

Section: Introductionmentioning

confidence: 99%

Geostatistical relationships between mechanical and petrophysical properties of deformed sandstone

Alikarami

Torabi

Kolyukhin

et al. 2013

International Journal of Rock Mechanics and Mining Sciences

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a b s t r a c tPetrophysical and mechanical properties of sandstone reservoirs are likely to change as a result of faulting. In this paper, we investigate the distribution of deformation features (structures) such as fractures and deformation bands in the Navajo and the Entrada sandstones in the fault core and damage zones of two faults in two localities in southeast (Cache Valley) and central (San Rafael Swell) Utah. These two localities had different degree of calcite cementation and hence are of interest to study the mechanical and petrophysical properties of these localities, in order to find out the impact of cementation on these properties and their possible relations. We have performed in-situ measurements by Tiny-Perm II and Schmidt hammer to examine the distribution of permeability and strength/elasticity of rock within the damage zone of these faults. We have studied the statistical relation between (i) TinyPerm II measurements and Schmidt hammer values, (ii) permeability and uniaxial compressive strength, and (iii) permeability and Young's modulus of deformed rocks. The statistical results demonstrate that there are correlations between the studied parameters, but the dependencies vary with the degree of calcite cementation in mineralogically similar sandstones (quartz sandstone). Statistical results demonstrate to first approximation that an exponential law is more suitable for description of the relations (i), (ii) and (iii) of non-cemented Navajo sandstone whereas for cemented Navajo sandstone these relations are better approximated by power law.

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Porosity dependence of the elastic modulus of lithophysae-rich tuff: numerical and experimental investigations

Cited by 37 publications

References 19 publications

Equivalent inhomogeneity method for evaluating the effective elastic properties of unidirectional multi-phase composites with surface/interface effects

Equivalent inhomogeneity method for evaluating the effective elastic properties of unidirectional multi-phase composites with surface/interface effects

Observations on the influence of lithophysae on elastic (Young's) modulus and uniaxial compressive strength of Topopah Spring Tuff at Yucca Mountain, Nevada, USA

Geostatistical relationships between mechanical and petrophysical properties of deformed sandstone

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