Fractured but not fractal: Fragmentation of the gulf of suez basement

Korvin, Gábor

doi:10.1007/bf00874492

Cited by 28 publications

(20 citation statements)

References 30 publications

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“…He reported a similar finding for the distribution of the length of fault block sides in the Gulf of Suez basement (KORVIN, 1989). ACKERMANN et al (2001) also observed that mature high-density systems display exponential tendencies in cumulative length versus number graphs.…”

Section: Variability Of the Fracture Arrays Parameterssupporting

confidence: 54%

Spatial Distribution, Scaling and Self-similar Behavior of Fracture Arrays in the Los Planes Fault, Baja California Sur, Mexico

Nieto-Samaniego

Alaniz-Álvarez

Tolson

et al. 2005

Pure appl. geophys.

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We present a case of detailed analysis of fracture arrays spanning four orders of magnitude in length; all of them measured at a single natural site by acquiring images at progressively larger scales. There is a high dispersion of cumulative-length exponents, box dimensions and fracture densities. However, the fractal analysis supports the fractal nature of fracture arrays. Our data indicate the existence of an upper limit for the density parameters, as similarly reported by other authors. We prove that box dimension is in inverse relation with fracture concentration and in direct relation with fracture density. These relations are also observed in our data and additionally there is an upper limit for the box dimensions. We interpret the dispersion in our results as more fundamental than methodological problems. It represents a truncation in the complete evolution of the fracture systems because in natural cases strain initiates overprinting of previous fracture arrays. Considering that larger fractures accommodate strain more efficiently than small fractures, the generation of small fractures is inhibited in the presence of preexisting larger fractures. Maximum values of fracture density prevent accommodating an excess of strain in a single or restricted range of scales; we claim this condition produces migration of fracturing to larger scales originating fracture scaling.

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Section: Variability Of the Fracture Arrays Parameterssupporting

confidence: 54%

Spatial Distribution, Scaling and Self-similar Behavior of Fracture Arrays in the Los Planes Fault, Baja California Sur, Mexico

Nieto-Samaniego

Alaniz-Álvarez

Tolson

et al. 2005

Pure appl. geophys.

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“…Radial cracking is not a deterministic process; the cracks form at roughly random angles and may number from 3 to more than 20. As a part of the initial condition for the material, a random number generator is used to generate the number of cracks in each cell with each orientation, but the statistics of crack size for each cell and orientation is based on the exponential distribution which is discussed by Korvin (1989) and for which new evidence is given by Antoun et al (2003) and Scholz (2002). With this random cracking strongly affecting the details of impact response, it is difficult to completely verify the coding, and this is the primary reason for the needed emphasis on validation at this time.…”

Section: Verification and Validationmentioning

confidence: 99%

Impact initiation of explosives and propellants via statistical crack mechanics

Dienes¹,

Zuo²,

Kershner³

2006

Journal of the Mechanics and Physics of Solids

155

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“…Thorp et al 1983;DeMarsily 1985;Barton & Heish 1989;Korvin 1989;Scholz & Cowie 1990;Sornette et aI. 1990;Gillespie et al 1993;Walsh & Watterson 1993;Hatton et aI.…”

Section: Geometric Properties Of Fault Zonesunclassified

A quantitative study of the influence of pre-existing compositional and fabric heterogeneities upon fracture-zone development during basement reactivation

Beacom

Holdsworth

McCaffrey

et al. 2001

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In common with many other regions of exposed continental basement, the Late Archaean to Palaeoproterozoic Lewisian Complex, NW Scotland, preserves numerous examples of faults that appear to reactivate pre-existing compositional and structural heterogeneities in the host gneisses. A regionally recognized set of late Laxfordian sinistral strike-slip faults and fractures are spatially associated with pre-existing NW-SE-trending ductile shear zones of Inverian and Laxfordian age. Field observations suggest that most of the sinistral displacements have been accommodated along laterally persistent faults (here termed principal displacement zones (PDZ)) that lie sub-parallel to the pre-existing foliation in the shear zones. Geometric and orientation data collected during structural logging of the PDZ faults have been used to quantitatively test the influence of lithology and pre-existing structural geometry on the spatial patterns of fault development. Stereographic analysis shows a strong geometrical correspondence between the intensity and form of the pre-existing anisotropy and the alignment of the PDZ brittle faults. Spatial clustering of PDZ faults varies depending on lithology (amphibolite v. acid gneiss v. quartz-mica schist). A close correlation exists between the geometry and intensity of the pre-existing foliation and fault spatial clustering. The results demonstrate that reactivation of pre-existing anisotropies in typical continental basement gneisses exert a significant control on brittle fault development and growth in the upper crust.

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Fractured but not fractal: Fragmentation of the gulf of suez basement

Cited by 28 publications

References 30 publications

Spatial Distribution, Scaling and Self-similar Behavior of Fracture Arrays in the Los Planes Fault, Baja California Sur, Mexico

Spatial Distribution, Scaling and Self-similar Behavior of Fracture Arrays in the Los Planes Fault, Baja California Sur, Mexico

Impact initiation of explosives and propellants via statistical crack mechanics

A quantitative study of the influence of pre-existing compositional and fabric heterogeneities upon fracture-zone development during basement reactivation

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