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Percolation Approach to Soil Compressibility Analysis


Affiliations
1 Graduate Studies Division, School of Engineering, Universidad Autónoma de Querétaro, Cerro de las Campanas SN, CP 76010, Santiago de Querétaro, Querétaro, Mexico
2 Instituto de Física Aplicada y Tecnología Avanzada, Universidad Nacional Autónoma de México, AP 1-1010, Querétaro, Querétaro 76000, Mexico
 

Soil compressibility is a phenomenon linked to the partially sinking of structures, which in turn, produces fissures in floors, walls, columns, and other structural elements. Also it involves the development of pressures generated in the water (primary phase) and the soil (secondary phase) on time. These can be explained using percolation principles. In this paper a novel alternative for the analysis of the abovementioned phenomena is presented. Indeed, via percolation, according to the water being expelled from the soil under different loading conditions is considered. Nets of sites of given dimension with a determined number of occupied sites (amount of soil particles) and other of empty sites (initial amount of water in the soil) are defined. Each net simulates the soil stresses by means of the cumulative probability after each load. Finally, the necessary nets were constructed with less amount of empty sites according to the water being expelled from soil on time under each load and therefore, of lesser dimensions to determine the critical percolation (starting of structural friction of soils).

Keywords

Compressibility, Soils, Percolation
User

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  • Percolation Approach to Soil Compressibility Analysis

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Authors

T. Lopez-Lara
Graduate Studies Division, School of Engineering, Universidad Autónoma de Querétaro, Cerro de las Campanas SN, CP 76010, Santiago de Querétaro, Querétaro, Mexico
J. B. Hernandez-Zaragoza
Graduate Studies Division, School of Engineering, Universidad Autónoma de Querétaro, Cerro de las Campanas SN, CP 76010, Santiago de Querétaro, Querétaro, Mexico
J. Horta Rangel
Graduate Studies Division, School of Engineering, Universidad Autónoma de Querétaro, Cerro de las Campanas SN, CP 76010, Santiago de Querétaro, Querétaro, Mexico
C. Lopez-Cajaun
Graduate Studies Division, School of Engineering, Universidad Autónoma de Querétaro, Cerro de las Campanas SN, CP 76010, Santiago de Querétaro, Querétaro, Mexico
H. Hernandez Villares
Graduate Studies Division, School of Engineering, Universidad Autónoma de Querétaro, Cerro de las Campanas SN, CP 76010, Santiago de Querétaro, Querétaro, Mexico
V. M. Castano
Instituto de Física Aplicada y Tecnología Avanzada, Universidad Nacional Autónoma de México, AP 1-1010, Querétaro, Querétaro 76000, Mexico

Abstract


Soil compressibility is a phenomenon linked to the partially sinking of structures, which in turn, produces fissures in floors, walls, columns, and other structural elements. Also it involves the development of pressures generated in the water (primary phase) and the soil (secondary phase) on time. These can be explained using percolation principles. In this paper a novel alternative for the analysis of the abovementioned phenomena is presented. Indeed, via percolation, according to the water being expelled from the soil under different loading conditions is considered. Nets of sites of given dimension with a determined number of occupied sites (amount of soil particles) and other of empty sites (initial amount of water in the soil) are defined. Each net simulates the soil stresses by means of the cumulative probability after each load. Finally, the necessary nets were constructed with less amount of empty sites according to the water being expelled from soil on time under each load and therefore, of lesser dimensions to determine the critical percolation (starting of structural friction of soils).

Keywords


Compressibility, Soils, Percolation

References





DOI: https://doi.org/10.17485/ijst%2F2011%2Fv4i7%2F30099