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

Encarnación Martínez-Moreno, Gonzalo García-Ros (), Iván Alhama and Francisco Alhama
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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

Mathematics, 2023, vol. 11, issue 3, 1-22

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.

Keywords: seepage; discriminated nondimensionalization; dams; ground engineering (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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