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| Titel |
Multiscaling of porous soils as heterogeneous complex networks |
| VerfasserIn |
A. Santiago, J. P. Cárdenas, J. C. Losada, R. M. Benito, A. M. Tarquis, F. Borondo |
| Medientyp |
Artikel
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| Sprache |
Englisch
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| ISSN |
1023-5809
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| Digitales Dokument |
URL |
| Erschienen |
In: Nonlinear Processes in Geophysics ; 15, no. 6 ; Nr. 15, no. 6 (2008-11-26), S.893-902 |
| Datensatznummer |
250012806
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| Publikation (Nr.) |
 copernicus.org/npg-15-893-2008.pdf |
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| Zusammenfassung |
| In this paper we present a complex network model based on a heterogeneous
preferential attachment scheme to quantify the structure of porous soils.
Under this perspective pores are represented by nodes and the space for the flow of
fluids between them is represented by links. Pore properties such as
position and size are described by fixed states in a metric space, while an
affinity function is introduced to bias the attachment probabilities of links
according to these properties. We perform an analytical study of the degree
distributions in the soil model and show that under reasonable conditions all
the model variants yield a multiscaling behavior in the connectivity degrees,
leaving a empirically testable signature of heterogeneity in the topology of
pore networks. We also show that the power-law scaling in the degree
distribution is a robust trait of the soil model and analyze the influence of
the parameters on the scaling exponents. We perform a numerical analysis of
the soil model for a combination of parameters corresponding to empirical
samples with different properties, and show that the simulation results
exhibit a good agreement with the analytical predictions. |
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