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Abstract
This paper provides a comprehensive understanding and unique aspects of modelling cemented paste backfill (CPB) behaviour and performance under complex multiphysics conditions. Such modelling is essential for the reliable and cost-effective design of CPB structures. In this review paper, the existing mathematical models are classified into three categories, which are analytical, mechanical constitutive and coupled multiphysics models. For each category, a critical discussion of each model is carried out to identify its applicability and potential further developments with a comparison of the corresponding controlling mechanism. Then, a comparison of the existing models is provided for each category of mathematical models.