2012
DOI: 10.1134/s1064229312090049
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Description and reconstruction of the soil pore space using correlation functions

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Cited by 48 publications
(23 citation statements)
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“…Thus, it can be studied in small samples (several centi meters) with a very high resolution (up to hundreds of nanometers) in microtomographs; it can also be stud ied in large samples (up to one meter) with a resolution of up to hundreds of microns in medical tomographs. The qualitative description and combination of data on the structure of porous media obtained at different scales are possible with the use of the methods of sta tistical physics [1]. At the same time, against the back ground of the numerous advantages of computer tomography, the classical method of studying soil thin sections has not lost its importance.…”
Section: Objects and Methodsmentioning
confidence: 99%
“…Thus, it can be studied in small samples (several centi meters) with a very high resolution (up to hundreds of nanometers) in microtomographs; it can also be stud ied in large samples (up to one meter) with a resolution of up to hundreds of microns in medical tomographs. The qualitative description and combination of data on the structure of porous media obtained at different scales are possible with the use of the methods of sta tistical physics [1]. At the same time, against the back ground of the numerous advantages of computer tomography, the classical method of studying soil thin sections has not lost its importance.…”
Section: Objects and Methodsmentioning
confidence: 99%
“…In practice, a faster cooling schedule is usually utilized in a form of T ( k )/ T (0)∼ λ k , where λ is the annealing scheduling parameter with a value somewhat smaller than, but close to unity [ 55 , 69 ]. Based on numerous trials and experience in reconstructing different test cases [ 60 , 67 68 ], we choose to implement a slower cooling schedule based on the following geometrical progression:…”
Section: Methodsmentioning
confidence: 99%
“…Spatial correlation functions have been used in different disciplines to characterize and reconstruct numerous materials, including gels [ 56 ], sandstones [ 57 58 ], stars and galaxies [ 59 ], kerogen porosity in shales [ 60 ], concrete [ 61 ], filters [ 62 63 ], nanocomsposites [ 64 65 ], and soft matter such as food [ 66 ]. In our preliminary study [ 67 ] we applied spatial correlation functions (with averaged two-point probability computed only in orthogonal directions) for soil reconstructions based on the original Yeong-Torquato method which considers isotropic heterogeneous materials. On the basis of our recent modifications to the Yeong-Torquato method, which involves computing directional correlation functions [ 68 ], we demonstrate it is now possible to characterize complex soils with direction-dependent or anisotropic structures.…”
Section: Introductionmentioning
confidence: 99%
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“…This fact allowed a lot of research related to soil functional architecture, involving from quantification of hydraulic proprieties, using X-ray tomography technique with digital image processing, (GERKE et al 2012;TRACY et al 2015) and including fluid simulation models (ONODY; POSADAS, 1995; NAKASHIMA; KAMIYA, 2007; LANDRY; KARPYN;AYALA et al 2014;POT et al, 2015;ZHANG;CRAWFORD;YOUNG et al 2016).…”
Section: Introductionmentioning
confidence: 99%