A NEW FRACTAL MODEL FOR PREDICTING SATURATED SOIL PERMEABILITY UNDER DIFFERENT DEFORMATION

Gaoliang Tao, Fan Zhang, Wei Zhao, Henglin Xiao, Qingsheng Chen, Sudip Basack and Lisheng Liu
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Gaoliang Tao: Innovation Demonstration Base of Ecological Environment, Geotechnical and Ecological Restoration of Rivers and Lakes, Key Laboratory of Health Intelligent Perception and Ecological Restoration of River and Lake, Ministry of Education, Hubei University of Technology, No. 28, Nanli Road, Hongshan District, Wuhan, Hubei 430068, P. R. China†School of Intelligent Construction, Wuchang University of Technology, Wuhan 430223, P. R. China
Fan Zhang: Innovation Demonstration Base of Ecological Environment, Geotechnical and Ecological Restoration of Rivers and Lakes, Key Laboratory of Health Intelligent Perception and Ecological Restoration of River and Lake, Ministry of Education, Hubei University of Technology, No. 28, Nanli Road, Hongshan District, Wuhan, Hubei 430068, P. R. China
Wei Zhao: Innovation Demonstration Base of Ecological Environment, Geotechnical and Ecological Restoration of Rivers and Lakes, Key Laboratory of Health Intelligent Perception and Ecological Restoration of River and Lake, Ministry of Education, Hubei University of Technology, No. 28, Nanli Road, Hongshan District, Wuhan, Hubei 430068, P. R. China
Henglin Xiao: Innovation Demonstration Base of Ecological Environment, Geotechnical and Ecological Restoration of Rivers and Lakes, Key Laboratory of Health Intelligent Perception and Ecological Restoration of River and Lake, Ministry of Education, Hubei University of Technology, No. 28, Nanli Road, Hongshan District, Wuhan, Hubei 430068, P. R. China
Qingsheng Chen: Innovation Demonstration Base of Ecological Environment, Geotechnical and Ecological Restoration of Rivers and Lakes, Key Laboratory of Health Intelligent Perception and Ecological Restoration of River and Lake, Ministry of Education, Hubei University of Technology, No. 28, Nanli Road, Hongshan District, Wuhan, Hubei 430068, P. R. China
Sudip Basack: ��MAKA University of Technology, Kolkata 700 113, India
Lisheng Liu: ��School of Intelligent Construction, Wuchang University of Technology, Wuhan 430223, P. R. China

FRACTALS (fractals), 2023, vol. 31, issue 08, 1-13

Abstract: The permeability coefficient and air-entry value of saturated soil are important hydraulic properties, which play an important role in engineering applications. Subsoil supporting foundation is subjected to stress and undergoes deformation; the saturated permeability coefficient of such deformed soil is of practical importance. With the help of fractal theory, based on the different fractal forms of Tao–Kong model, CCG model, Mualem model, and soil–water characteristic curve, this paper derives the saturated permeability coefficient models under four deformation conditions, considering the saturation permeability coefficient is inversely proportional to the square of the air-entry value and directly proportional to the square of the maximum aperture of the soil. Combining the prediction method of air-entry value under deformation conditions, four prediction methods for the permeability coefficient of deformed saturated soil are established and the method proposed in this paper is validated by the measured value of the saturated permeability coefficient of the deformed soil. As observed, the predicted values of the four methods for clay, silt loam, sandy loam and sandy soil under deformed conditions are in acceptable agreement with the measured values, and the prediction results of the second prediction method are the closest to the measured values.

Keywords: Fractal Dimension; Air-entry Value; Deformation; Saturated Permeability Coefficient; Hydraulic Properties (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1142/S0218348X23401692

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