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Method to Determine the Constitutive Permeability Parameters of Non-Linear Consolidation Models by Means of the Oedometer Test

Author

Listed:
  • Gonzalo García-Ros

    (Civil Engineering Department, Mining and Civil Engineering Faculty, Technical University of Cartagena, 30203 Cartagena, Spain)

  • Iván Alhama

    (Civil Engineering Department, Mining and Civil Engineering Faculty, Technical University of Cartagena, 30203 Cartagena, Spain)

Abstract

This paper presents an easy-to-apply methodology that allows obtaining the permeability index and the initial hydraulic conductivity of clayey soils, basic constitutive parameters in non-linear models of consolidation, based on the laboratory oedometer test. For this, the data of the void ratio, compressibility index and characteristic consolidation time are taken from the test and, as an inverse problem, the constitutive permeability parameters sought are determined by applying the universal solutions of the characteristic time for a general non-linear consolidation model with constitutive relations void ratio-effective soil stress and hydraulic conductivity-void ratio of logarithmic type. The application protocol of the inverse problem is described in detail and illustrated by a series of applications carried out on real laboratory data belonging to two different soils. The influence that errors in laboratory parameter measurements can have on the final values of the permeability index and initial hydraulic conductivity is studied, showing the maximum deviations that may appear and, by last, the precision of the results obtained.

Suggested Citation

  • Gonzalo García-Ros & Iván Alhama, 2020. "Method to Determine the Constitutive Permeability Parameters of Non-Linear Consolidation Models by Means of the Oedometer Test," Mathematics, MDPI, vol. 8(12), pages 1-18, December.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:12:p:2237-:d:464126
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    References listed on IDEAS

    as
    1. Gonzalo García-Ros & Iván Alhama & Manuel Cánovas & Francisco Alhama, 2018. "Derivation of Universal Curves for Nonlinear Soil Consolidation with Potential Constitutive Dependences," Mathematical Problems in Engineering, Hindawi, vol. 2018, pages 1-15, December.
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    Cited by:

    1. Juan Francisco Sánchez-Pérez & Gonzalo García-Ros & Manuel Conesa & Enrique Castro & Manuel Cánovas, 2023. "Methodology to Obtain Universal Solutions for Systems of Coupled Ordinary Differential Equations: Examples of a Continuous Flow Chemical Reactor and a Coupled Oscillator," Mathematics, MDPI, vol. 11(10), pages 1-28, May.

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