Estimation model of soil permeability coefficient based on Poiseuille?s law
SUN Junjie1,2,3,TIAN Wentong1,LIU Kun1,2,3,FENG Minjie1,LI Na1
(1. Lanzhou Institute of Seismology,China Earthquake Administration,Lanzhou,Gansu 730000,China;2. Key Laboratory of Loess Earthquake Engineering,China Earthquake Administration and Gansu Province,Lanzhou,Gansu 730000,China;3. Geotechnical Disaster Prevention Engineering Technology Research Center of Gansu Province,Lanzhou,Gansu 730000,China)
Abstract:Calculating the permeability of soil theoretically is very difficult due to complexity of soil properties. A concept of equivalent pipe-diameter was introduced and a mathematical expression was derived in the paper for the estimation of soil permeability based on Poiseuille?s law. The rationality and applicability of the model were carefully checked against the special laboratory data of permeability tests. Results showed that the percolation path of soil could be converted into a series of thin pipes by means of the equivalence principle. The mathematical expression of equivalent pipe-diameter considered the influencing factors to soil permeability,such as the compactness,bound water content,particle grading,pattern distribution and geometric shape of soil particles. The model produced results in agreement with the laboratory data. The estimation model was found to be applicable to the soils with the particle sizes between 0.002 mm(lower bound of coarse clay,0.002 mm) and 0.500 mm(upper bound of medium sand,0.500 mm).
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