TY - JOUR
T1 - Development of Empirical Equations for Estimating Subgrade Resilient Modulus Using Machine Learning Methods and Experimental Validation
AU - Hanandeh, Shadi
AU - Alzahrani, Saeed
AU - Alajlan, Zaid
AU - Hanandeh, Ahmad
AU - Aneke, Frank
N1 - Publisher Copyright:
© The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2025.
PY - 2025/10
Y1 - 2025/10
N2 - This study examines the resilient modulus for cohesive soils using laboratory experiments and computational modeling, aiming to create reliable predictive models for resilient modulus. A dataset of 1,023 laboratory-tested samples was employed to develop three separate models utilizing multiple linear regression (MLR), artificial neural networks (ANN), and genetic algorithm approaches (GA). The input variables comprised gradational and physical properties (percentage passing the #200 sieve, plasticity index), compaction characteristics (optimum moisture content, degree of saturation), and confining pressure, deviator stress, with output variable being the resilient modulus. The ANN architecture showed enhanced predictive accuracy, obtaining a coefficient of determination (R2) of 0.95 in both training and validation phases, exceeding the performance of MLR (R2 = 0.62) and GA-based models (R2 = 0.69). The sensitivity analysis showed that the degree of saturation (Sr) is the most significant parameter. Empirical models were developed from ANN and GA frameworks, providing efficient methods for estimating (MR) in situations where extensive laboratory testing is not feasible. Twenty subgrade soil samples were tested to find the resilient modulus et al.-Balqa Applied University laboratory and compared with ANN & GA models. ANN achieved a more accurate prediction (R2 = 0.94) than GA (R2 = 0.73).
AB - This study examines the resilient modulus for cohesive soils using laboratory experiments and computational modeling, aiming to create reliable predictive models for resilient modulus. A dataset of 1,023 laboratory-tested samples was employed to develop three separate models utilizing multiple linear regression (MLR), artificial neural networks (ANN), and genetic algorithm approaches (GA). The input variables comprised gradational and physical properties (percentage passing the #200 sieve, plasticity index), compaction characteristics (optimum moisture content, degree of saturation), and confining pressure, deviator stress, with output variable being the resilient modulus. The ANN architecture showed enhanced predictive accuracy, obtaining a coefficient of determination (R2) of 0.95 in both training and validation phases, exceeding the performance of MLR (R2 = 0.62) and GA-based models (R2 = 0.69). The sensitivity analysis showed that the degree of saturation (Sr) is the most significant parameter. Empirical models were developed from ANN and GA frameworks, providing efficient methods for estimating (MR) in situations where extensive laboratory testing is not feasible. Twenty subgrade soil samples were tested to find the resilient modulus et al.-Balqa Applied University laboratory and compared with ANN & GA models. ANN achieved a more accurate prediction (R2 = 0.94) than GA (R2 = 0.73).
KW - Genetic algorithms
KW - Neural network
KW - Resilient modulus
KW - Soil properties
UR - https://www.scopus.com/pages/publications/105017928844
U2 - 10.1007/s40515-025-00713-6
DO - 10.1007/s40515-025-00713-6
M3 - Article
AN - SCOPUS:105017928844
SN - 2196-7202
VL - 12
JO - Transportation Infrastructure Geotechnology
JF - Transportation Infrastructure Geotechnology
IS - 7
M1 - 253
ER -