Predicting the coefficient of permeability in granular soils is critical for effective groundwater flow analysis. However, existing predictive models are often constrained by limited datasets and a lack of interpretable formulations. This study developed a predictive formula for the coefficient of permeability in saturated granular soils using symbolic regression applied to a large-scale global database (CG/KSAT/7/1278) comprising 1278 samples. Exploratory data analysis identified both individual and combined effects of grain size and volumetric state parameters on soil permeability, guiding the selection of key predictors. Symbolic regression systematically explored functional forms and optimized coefficients, resulting in a closed-form expression based solely on grain size parameters. Compared with ten existing models, the proposed formula achieved superior predictive performance, including the lowest mean absolute error of 0.419. Its predictive stability was further demonstrated by minimal and balanced over- and under-predictions across the entire permeability range. External validation using an independent dataset and laboratory permeability tests confirmed its generalizability. In conclusion, this study presents a generalized and interpretable formula that advances the understanding of flow behavior and improves practical permeability estimation in granular soils.
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