The conventional field reduced-scale test is a primary method for examining the blast resistance of concrete gravity dam against underwater explosion, while the inherent scaling effect prevents the extrapolation of reduced-scale test results to predict the dynamic behaviors of prototype dam. At present, a series of numerical simulations is carried out to clarify the underlying causes of scaling effect and establish a similarity relationship for concrete gravity dam against underwater explosion in the field test. Firstly, the critical influential factors of scaling effect were clarified based on the dimensional analysis, including the gravitational effect, strain rate effect and material size effect. The dimensionless horizontal displacement of dam was found to be dependent on the dimensionless damage number and gravitational characteristic number. Secondly, a finite element analysis approach incorporating the aforementioned influential factors was developed and comprehensively verified from both macroscopic and mesoscopic aspects. Subsequently, based on a 120 m-high prototype gravity dam, eight scenarios with the scaling factors ranging from 1/50 to 1 were designed and analyzed from the perspectives of both explosion loading and structural behaviors. Furthermore, the contributions of three influential factors to the scaling effect were examined. It indicates that the contribution of the strain rate effect is particularly significant in the small-scale model and sensitive to the intensity of blast wave, while the gravitational effect plays a dominant role in the large-scale model. Additionally, the influence of concrete size effect is comparable at different scales and relatively limited. Finally, the similarity relationships of horizontal dam displacement in the field test, involving the normalized displacement, displacement increase factor and the dimensionless displacement, were established, which address the limitations imposed by the scaling effect on the extrapolation of displacement data acquired from the reduced-scale test and provide a valuable reference for evaluating the blast resistance of prototype dam.
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