Stereological relationship between trace length and size distribution of elliptical discontinuities

Zhang, L.; Einstein, H. H.; Dershowitz, W.

doi:10.1680/geot.52.6.419.38737

Cited by 15 publications

(32 citation statements)

References 10 publications

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“…Zhang and Einstein (2000) implement the above calculated true trace length distribution in an equation by Warburton (1980), which considers a stereological relationship between chords (traces measured on sampling windows) and associated diameters for specific discontinuity sets, discontinuity shape being assumed circular. Problems involving elliptical discontinuities have been solved by Zhang et al (2002). Mauldon et al (2001) developed a further method, using circular scanlines and a circular window, to estimate trace parameters.…”

Section: Previous Workmentioning

confidence: 99%

“…Trace intensity and mean trace length estimation using circular windows on remote sensing 3D models Discontinuities delineated on TLS/TDP 3D models are considered planar and circular. Although it is possible that they have other shapes (Zhang et al, 2002;Zhang and Einstein, 2010), characterization on 3D models often does not allow their definition and consequently a circular shape is usually assumed. To improve data interpretation, mapping of discontinuities on remote sensing imagery was undertaken manually by fitting planar discs on individual recognizable surfaces or traces, without use of automatic recognition software.…”

Section: Site Descriptionmentioning

confidence: 99%

See 1 more Smart Citation

Terrestrial remote sensing-based estimation of mean trace length, trace intensity and block size/shape

Sturzenegger

Stead

Elmo

2011

Engineering Geology

109

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Section: Previous Workmentioning

confidence: 99%

Section: Site Descriptionmentioning

confidence: 99%

Terrestrial remote sensing-based estimation of mean trace length, trace intensity and block size/shape

Sturzenegger

Stead

Elmo

2011

Engineering Geology

109

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“…A DFN generated using the feature rejection algorithm was used for simulating subsurface flow and transport [13]. Fractal DFN models were developed to simulate naturally fractured reservoirs with fracture fractal properties of aperture, spacing, and length distribution [14][15][16]. Hydraulic heterogeneity of fractured rock has been addressed by means of upscaling analysis of classical fracture networks or enhanced stochastic continuum approaches [17].…”

Section: Introductionmentioning

confidence: 99%

Hydraulic Parameter Generation Technique Using a Discrete Fracture Network with Bedrock Heterogeneity in Korea

Cheong¹,

Hamm

Lim

et al. 2017

Water

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Abstract:In instances of damage to engineered barriers containing nuclear waste material, surrounding bedrock is a natural barrier that retards radionuclide movement by way of adsorption and delay due to groundwater flow through highly tortuous fractured rock pathways. At the Gyeongju nuclear waste disposal site, groundwater mainly flows through granitic and sedimentary rock fractures. Therefore, to understand the nuclide migration path, it is necessary to understand discrete fracture networks based on heterogeneous fracture orientations, densities, and size characteristics. In this study, detailed heterogeneous fracture distribution, including the density and orientation of the fractures, was considered for a region that has undergone long periods of change from various geological activities at and around the Gyeongju site. A site-scale discrete fracture network (DFN) model was constructed taking into account: (i) regional fracture heterogeneity constrained by a multiple linear regression analysis of fracture intensity on faults and electrical resistivity; and (ii) the connectivity of conductive fractures having fracture hydraulic parameters, using transient flow simulation. Geometric and hydraulic heterogeneity of the DFN was upscaled into equivalent porous media for flow and transport simulation for a large-scale model.

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“…In this regard, significant efforts have been made to characterize several aspects of discontinuities or discontinuity sets in the network, such as their intensity (Dershowitz and Herda 1992;Zhang and Einstein 2000), the distribution of their sizes (see e.g. Priest 2004;Lyman 2003b;Zhang et al 2002;Villaescusa and Brown 1992;Kulatilake and Wu 1986;Tonon and Chen 2007;Jimenez-Rodriguez and Sitar 2006a) or their orientation (see e.g. Jimenez-Rodriguez and Sitar 2006b;Tokhmechi et al 2011).…”

Section: Introductionmentioning

confidence: 99%

A Simple Genetic Algorithm for Calibration of Stochastic Rock Discontinuity Networks

Jimenez

Jurado-Piña

2012

Rock Mech Rock Eng

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We present a novel approach for calibration of stochastic discontinuity network parameters based on genetic algorithms (GAs). To validate the approach, examples of application of the method to cases with known parameters of the original Poisson discontinuity network are presented. Parameters of the model are encoded as chromosomes using a binary representation, and such chromosomes evolve as successive generations of a randomly generated initial population, subjected to GA operations of selection, crossover and mutation. Such backcalculated parameters are employed to make assessments about the inference capabilities of the model using different objective functions with different probabilities of crossover and mutation. Results show that the predictive capabilities of GAs significantly depend on the type of objective function considered; and they also show that the calibration capabilities of the genetic algorithm can be acceptable for practical engineering applications, since in most cases they can be expected to provide parameter estimates with relatively small errors for those parameters of the network (such as intensity and mean size of discontinuities) that have the strongest influence on many engineering applications.

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Stereological relationship between trace length and size distribution of elliptical discontinuities

Cited by 15 publications

References 10 publications

Terrestrial remote sensing-based estimation of mean trace length, trace intensity and block size/shape

Terrestrial remote sensing-based estimation of mean trace length, trace intensity and block size/shape

Hydraulic Parameter Generation Technique Using a Discrete Fracture Network with Bedrock Heterogeneity in Korea

A Simple Genetic Algorithm for Calibration of Stochastic Rock Discontinuity Networks

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