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Modeling Soil Permeability When Percolated by Different Soil

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Abstract

This paper presents the results of permeability tests performed using different organic fluids and soil types in order to derive a model to predict soil permeability based on the soil water permeability values. The equation proposed by Nutting (Am Assoc Petrol Geol Bull 14:1337–1349, 1934), which uses the concept of intrinsic permeability, was extended in order to take into account the fluid and solid particle interactions. The properties of soil (plasticity index, \(I_\mathrm{P}\), water permeability, \(k_\mathrm{w}\) and water saturation, \(S_\mathrm{rw}\)) and fluid (density, \(\rho \), viscosity, \(\mu \), and relative dielectric constant, \(\varepsilon _\mathrm{r}\)) were used in the model. The model results demonstrated good adherence to experimental values (\(R^{2}= 0.914\)). An error of about 6.4 times for the predicted soil permeability values was obtained, considering a confidence interval of 90 %. Experimental results extracted from technical literature were used to validate the model, using the same fitting constants as the experimental dataset of the authors. The model was able to capture the variation in the experimental results, although more than 10 % of the experimental results are located outside the confidence interval.

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Authors and Affiliations

  1. Department of Materials Science and Technology, Federal University of Bahia, 02 Aristides Novis St., Salvador, BA, 40210-630, Brazil

    Sandro Lemos Machado

  2. SENAI CIMATEC, 1845, Orlando Gomes Av., Salvador, BA, 41650-010, Brazil

    Larissa da Silva Paes Cardoso

  3. Department Environmental Engineering, Federal University of Bahia, 02 Aristides Novis St., Salvador, BA, 40210-630, Brazil

    Iara Brandão de Oliveira

  4. SMES/SAE/MA/RAI PETROBRAS, 81, Almirante Barroso Av., Rio de Janeiro, RJ, 20031-004, Brazil

    Digna de Faria Mariz

  5. Department of Civil Engineering, Iran University of Science and Technology, Narmak, Tehran, 16846-13114, Iran

    Mehran Karimpour-Fard

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  1. Sandro Lemos Machado
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  2. Larissa da Silva Paes Cardoso
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  3. Iara Brandão de Oliveira
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  4. Digna de Faria Mariz
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Correspondence to Mehran Karimpour-Fard.

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Machado, S.L., da Silva Paes Cardoso, L., de Oliveira, I.B. et al. Modeling Soil Permeability When Percolated by Different Soil. Transp Porous Med 111, 763–793 (2016). https://doi.org/10.1007/s11242-016-0627-9

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  • DOI: https://doi.org/10.1007/s11242-016-0627-9

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