Multiscaling of porous soils as heterogeneous complex networks
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...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Copernicus Publications
2008-11-01
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| Series: | Nonlinear Processes in Geophysics |
| Online Access: | http://www.nonlin-processes-geophys.net/15/893/2008/npg-15-893-2008.pdf |
| _version_ | 1831681368073961472 |
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| author | A. Santiago J. P. Cárdenas J. C. Losada R. M. Benito A. M. Tarquis F. Borondo |
| author_facet | A. Santiago J. P. Cárdenas J. C. Losada R. M. Benito A. M. Tarquis F. Borondo |
| author_sort | A. Santiago |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-20T05:55:51Z |
| format | Article |
| id | doaj.art-d56f3168a2d742a996793b1cb0c66c92 |
| institution | Directory Open Access Journal |
| issn | 1023-5809 1607-7946 |
| language | English |
| last_indexed | 2024-12-20T05:55:51Z |
| publishDate | 2008-11-01 |
| publisher | Copernicus Publications |
| record_format | Article |
| series | Nonlinear Processes in Geophysics |
| spelling | doaj.art-d56f3168a2d742a996793b1cb0c66c922022-12-21T19:51:02ZengCopernicus PublicationsNonlinear Processes in Geophysics1023-58091607-79462008-11-01156893902Multiscaling of porous soils as heterogeneous complex networksA. SantiagoJ. P. CárdenasJ. C. LosadaR. M. BenitoA. M. TarquisF. BorondoIn 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.http://www.nonlin-processes-geophys.net/15/893/2008/npg-15-893-2008.pdf |
| spellingShingle | A. Santiago J. P. Cárdenas J. C. Losada R. M. Benito A. M. Tarquis F. Borondo Multiscaling of porous soils as heterogeneous complex networks Nonlinear Processes in Geophysics |
| title | Multiscaling of porous soils as heterogeneous complex networks |
| title_full | Multiscaling of porous soils as heterogeneous complex networks |
| title_fullStr | Multiscaling of porous soils as heterogeneous complex networks |
| title_full_unstemmed | Multiscaling of porous soils as heterogeneous complex networks |
| title_short | Multiscaling of porous soils as heterogeneous complex networks |
| title_sort | multiscaling of porous soils as heterogeneous complex networks |
| url | http://www.nonlin-processes-geophys.net/15/893/2008/npg-15-893-2008.pdf |
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