<title>A Local Spatial Correlation Length For Background Modeling</title>

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.

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

Canadian Geotechnical Journal ◽

10.1139/cgj-2013-0294 ◽

2014 ◽

Vol 51 (8) ◽

pp. 844-857 ◽

Cited By ~ 25

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.

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Location of acoustic emission events and changes of spatial correlation length in rock during uniaxial compression

Materials Research Innovations ◽

10.1179/143307511x12858957676551 ◽

2011 ◽

Vol 15 (sup1) ◽

pp. s543-s546 ◽

Cited By ~ 1

Author(s):

Y‐H Li ◽

J‐P Liu

Keyword(s):

Acoustic Emission ◽

Spatial Correlation ◽

Uniaxial Compression ◽

Correlation Length ◽

Spatial Correlation Length

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Indirect Evaluation of Hydrogeologic Spatial Correlation Length: An Approach to Quantification of Hydraulic Conductivity Variance Reduction Using Synthetic Hydraulic Tests

Groundwater Contamination: Use of Models in Decision-Making ◽

10.1007/978-94-009-2301-0_20 ◽

1989 ◽

pp. 209-218

Author(s):

J. A. McNeish ◽

R. W. Andrews

Keyword(s):

Hydraulic Conductivity ◽

Spatial Correlation ◽

Correlation Length ◽

Variance Reduction ◽

Indirect Evaluation ◽

Spatial Correlation Length

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

Energies ◽

10.3390/en12142796 ◽

2019 ◽

Vol 12 (14) ◽

pp. 2796 ◽

Cited By ~ 1

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’.

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