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García-Ros G.
Alhama I.
Cánovas M.



Author(s) and WSEAS

García-Ros G.
Alhama I.
Cánovas M.


WSEAS Transactions on Circuits and Systems


Print ISSN: 1109-2734
E-ISSN: 2224-266X

Volume 16, 2017

Notice: As of 2014 and for the forthcoming years, the publication frequency/periodicity of WSEAS Journals is adapted to the 'continuously updated' model. What this means is that instead of being separated into issues, new papers will be added on a continuous basis, allowing a more regular flow and shorter publication times. The papers will appear in reverse order, therefore the most recent one will be on top.


Volume 16, 2017



An Electrical Analogy to Compute General Scenarios of Soil Consolidation

AUTHORS: García-Ros G., Alhama I., Cánovas M.

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ABSTRACT: The network method is revealed as a useful numerical technique to solve non-linear problems such as the soil consolidation process, ruled by diffusive equations in which the coefficients of the addends are complex functions of the dependent variable, the effective pressure. The equivalence between the physical and network model is established by introducing a formal analogy between the dependent and independent variables of the problem and the different elements or variables of an electric circuit. Based on the network method, and making use of the powerful computational algorithms implemented in the circuit simulation codes, the numerical models proposed in this paper are solved, performing an analysis on the accuracy of the method, computing times and grid size required depending on the degree of non-linearity of the problem. Finally, from a series of illustrated applications, a comparison is made between the different models proposed, analyzing in depth the most general and precise of them.

KEYWORDS: Numerical model, network method, soil consolidation

REFERENCES:

[1] Juárez-Badillo, E., Constitutive Relationships for soils, Proceedings Symposium on Recent Developments in the Analysis of Soils Behaviour and Their Application to Geotechnical Structures, University of New South Wales, Kensington, Australia, 231-257, 1975

[2] Juárez-Badillo, E., General Permeability Change Equations for Soils, Proceedings International Conference on Constitutive Laws for Engineering Materials, University of Arizona, Tueson, 205-209, 1983 0 0,1 0,2 0,3 0,4 0,5 0,6 0,7 0,8 0,9 1 0 0,25 0,5 0,75 1 1,25 1,5 1,75 2 2,25 2,5 Average degree of settlement time (years) Set 09 Set 15 Set 16 0 0,1 0,2 0,3 0,4 0,5 0,6 0,7 0,8 0,9 1 0 0,25 0,5 0,75 1 1,25 1,5 1,75 2 2,25 2,5 Average degree of settlement time (years) Set 10 Set 17 Set 18

[3] Chen, B., A method for solving nonlinear parabolic equations with moving boundaries, Numerical Methods, Springer Berlin Heidelberg, 37-45, 1983

[4] González-Fernández, C.F., Applications of the network simulation method to transport processes, in Network Simulation Method, Ed. J. Horno, Research Signpost, Trivandrum, India, 2002

[5] Castro, E., García-Hernández, M.T., and Gallego, A., Transversal waves in beams via the network simulation method. Journal of Sound and Vibration, 283(3), 997-1013, 2005

[6] NgSpice – Open Source mixed mode, mixed level circuit simulator (based on Berkeley’s Spice3f5). http://ngspice.sourceforge.net/, 2016

[7] Juárez-Badillo, E., General Consolidation Theory for Clays, Soil Mechanics Series, Report No. 8, Graduate School of Engineering, National University of Mexico, 1983.

[8] García-Ros, G., Caracterización adimensional y simulación numérica de procesos lineales y no lineales de consolidación de suelos, Tesis Doctoral, Universidad Politécnica de Cartagena, 2016

[9] Terzaghi K., Die Berechnung der Durchlässigkeitszifferdes tones aus dem verlauf der hydrodynamischen spanunngserscheinnungen, Akademie der Wissenschaften in Wien, Technical report II a, 132 N 3/4, 125-138. Sitzungsberichte Mathnaturwiss Klasse Abt, 1923

WSEAS Transactions on Circuits and Systems, ISSN / E-ISSN: 1109-2734 / 2224-266X, Volume 16, 2017, Art. #15, pp. 131-140


Copyright © 2017 Author(s) retain the copyright of this article. This article is published under the terms of the Creative Commons Attribution License 4.0

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