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Characterization of Flow under Impervious Dams: Dimensionless Groups and Universal Solutions

Author

Listed:
  • Encarnación Martínez-Moreno

    (Mining and Civil Engineering Department, Universidad Politécnica de Cartagena, 30203 Cartagena, Spain)

  • Gonzalo García-Ros

    (Mining and Civil Engineering Department, Universidad Politécnica de Cartagena, 30203 Cartagena, Spain)

  • Iván Alhama

    (Mining and Civil Engineering Department, Universidad Politécnica de Cartagena, 30203 Cartagena, Spain)

  • Francisco Alhama

    (Applied Physics Department, Universidad Politécnica de Cartagena, 30203 Cartagena, Spain)

Abstract

As far as we know, no dimensionless solutions for infiltrated flow under dams in anisotropic media exist since those that can be found in manuals refer to isotropic soils. The novelty of this work is the presentation of universal solutions in the form of abaci for water flow, average exit gradient, uplift force, and its application point for this type of soil. These solutions are obtained by the application of the discriminated nondimensionalization technique to the governing equations in order to find accurate dimensionless groups that control the results of the problem. In particular, the ratio of permeabilities corrected by a geometrical aspect relationship appears as a governing group, so anisotropy can be considered as input information. In this way, the sought solutions are a function of the emerging groups. Numerical solutions are used to successfully verify the results obtained, which in turn are compared to those of other authors for isotropic scenarios.

Suggested Citation

  • Encarnación Martínez-Moreno & Gonzalo García-Ros & Iván Alhama & Francisco Alhama, 2023. "Characterization of Flow under Impervious Dams: Dimensionless Groups and Universal Solutions," Mathematics, MDPI, vol. 11(3), pages 1-22, January.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:3:p:540-:d:1041421
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    References listed on IDEAS

    as
    1. Juan Francisco Sánchez-Pérez & Gloria Motos-Cascales & Manuel Conesa & Francisco Moral-Moreno & Enrique Castro & Gonzalo García-Ros, 2022. "Design of a Thermal Measurement System with Vandal Protection Used for the Characterization of New Asphalt Pavements through Discriminated Dimensionless Analysis," Mathematics, MDPI, vol. 10(11), pages 1-18, June.
    2. 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.
    3. José Antonio Jiménez-Valera & Francisco Alhama, 2022. "Dimensionless Characterization to Estimate Horizontal Groundwater Velocity from Temperature–Depth Profiles in Aquifers," Mathematics, MDPI, vol. 10(15), pages 1-19, August.
    Full references (including those not matched with items on IDEAS)

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