Spatial correlation length of normalized cone data in sand: case study in the north of Denmark

2014 ◽  
Vol 51 (8) ◽  
pp. 844-857 ◽  
Author(s):  
S. Firouzianbandpey ◽  
D.V. Griffiths ◽  
L.B. Ibsen ◽  
L.V. Andersen
Keyword(s):  
Spatial Correlation ◽  
Correlation Length ◽  
Vertical Direction ◽  
Cone Penetration ◽  
Correlation Lengths ◽  
Cone Penetration Testing ◽  
The North ◽  
Site Investigations ◽  
Depositional Process ◽  
Spatial Correlation Length

The main topic of this study is to assess the anisotropic spatial correlation lengths of a sand layer deposit based on cone penetration testing with pore pressure measurement (CPTu) data. Spatial correlation length can be an important factor in reliability analysis of geotechnical systems, yet it is rarely estimated during routine site investigations. Results from two different sites in the north of Denmark are reported in this paper, indicating quite strong anisotropy due to the depositional process, with significantly shorter spatial correlation lengths in the vertical direction. It is observed that the normalized cone resistance is a better estimator of spatial trends than the normalized friction ratio.

Corrigendum: Spatial correlation length of normalized cone data in sand: case study in the north of Denmark

2015 ◽  
Vol 52 (8) ◽  
pp. 1195-1197
Author(s):  
S. Firouzianbandpey ◽  
D.V. Griffiths ◽  
L.B. Ibsen ◽  
L.V. Andersen
Keyword(s):  
Spatial Correlation ◽  
Correlation Length ◽  
The North ◽  
Spatial Correlation Length

Spatial Variability of Material Parameter and Bearing Capacity of Clay

2012 ◽  
Vol 629 ◽  
pp. 433-437 ◽  
Author(s):  
Md Mizanur Rahman ◽  
Hoang Bao Khoi Nguyen
Keyword(s):  
Spatial Variability ◽  
Bearing Capacity ◽  
Correlation Length ◽  
Material Parameter ◽  
Vertical Direction ◽  
Undrained Shear Strength ◽  
Element Analysis ◽  
Correlation Lengths ◽  
The Finite Element Analysis ◽  
Spatial Correlation Length

A stochastic analysis that incorporates spatial variability of material parameter of clay i.e. undrained shear strength, c within the finite element analysis was done. A smoother change of c between two neighbouring soil elements is expected than two elements at a distance apart, thus a spatial correlation length is used within the random field to describe the distance over which random values tend to be correlated. When the correlation lengths in horizontal and vertical directions are same, the soil elements can be described ‘isotropic’. Most of the previous studies investigated the effect of variation of c in terms of coefficient of variation, COV (standard deviation/mean) and the isotropic correlation length on bearing capacity. However, the correlation length of soil may not be isotropic as they may be deposited in layers i.e. correlation length in horizontal direction may be higher than that in vertical direction. Thus, this study investigated the effect of isotropic as well as anisotropic (in terms of correlation length) conditions and their lengths over a range of COV of c on the bearing capacity. The result of this study would help to understand the effect of soil anisotropy on bearing capacity.

Spectral Properties of Spatially and Spectrally Partially Coherent Pulsed Beams in Fused-Silica Glass Medium

2010 ◽  
Vol 663-665 ◽  
pp. 108-112
Author(s):  
Chao Liang Ding ◽  
Min Teng ◽  
Zhi Guo Zhao ◽  
Liu Zhan Pan
Keyword(s):  
Spatial Correlation ◽  
Correlation Length ◽  
Silica Glass ◽  
Coherence Length ◽  
Spectral Properties ◽  
Spectral Shift ◽  
Fused Silica ◽  
Partially Coherent ◽  
Spatial Correlation Length ◽  
Fused Silica Glass

Using the coherence theory of non-stationary fields and the method of Fourier transform, the spectral properties of spatially and spectrally partially coherent Gaussian Schell-model pulsed (GSMP) beams in fused-silica glass medium are studied and analyzed numerically. It is shown that the spectral shift takes place, which depends on the position of the field point, spatial correlation length, temporal coherence length and dispersive property of medium, as GSMP beams propagate in fused-silica glass medium. The on-axis spectrum is blue-shifted, and the relative spectral shift increases with increasing propagation distance, and decreases as the spatial correlation length and temporal coherence length increases, and then approaches an asymptotic value. The dispersive property of medium plays an important role in the spectral properties of spatially and spectrally partially coherent beams.

scholarly journals Quantitative Study of the Geometrical and Hydraulic Characteristics of a Single Rock Fracture

Energies ◽  
2019 ◽  
Vol 12 (14) ◽  
pp. 2796 ◽  
Author(s):  
Xinling Li ◽  
Zeyun Jiang ◽  
Chao Min
Keyword(s):  
Spatial Correlation ◽  
Correlation Length ◽  
Rock Fracture ◽  
Natural Fracture ◽  
Morphological Properties ◽  
Trend Surface ◽  
Cubic Law ◽  
Fracture Models ◽  
Spatial Correlation Length ◽  
Fracture Apertures

Three-dimensional images of fractured rocks can be acquired by an X-ray micro-CT scanning technique, which allows researchers to investigate the ‘true’ inner void structure of a natural fracture without destroying the core. The 3D fractures in images can be characterised by measuring morphological properties on both fracture apertures and its trend surface, like the medial surface, that reveals the undulation of fracture planes. In a previous paper, we have proposed a novel method to generate fracture models stochastically. Based on a large number of such fracture models, in this work a modified factor was proposed for improving the performance of the cubic law by incorporating the flow-dominant characteristics, including two parameters (aperture roughness and spatial correlation length) for fracture apertures and two (surface undulation coefficient and spatial correlation length) for fracture trend-surface. We assess and validate the modified cubic law by applying it to natural fractures in images that have varying apertures and extremely bended trend-surfaces, with the permeabilities calculated by a Lattice Boltzmann Method as ‘ground truths’.

Effect of Spatial Correlation Length on the Interpretation of Normalized CPT Data Using a Kriging Approach

2015 ◽  
Vol 141 (12) ◽  
pp. 04015052 ◽  
Author(s):  
S. Firouzianbandpey ◽  
L. B. Ibsen ◽  
D. V. Griffiths ◽  
M. J. Vahdatirad ◽  
L. V. Andersen ◽  
...  
Keyword(s):  
Spatial Correlation ◽  
Correlation Length ◽  
Spatial Correlation Length ◽  
Kriging Approach
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