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.

本文提供了在复杂的多物理场条件下对水泥浆回填（CPB）行为和性能进行建模的全面理解和独特方面。这种建模对于CPB结构的可靠且经济高效的设计至关重要。在这篇综述文章中，现有的数学模型分为三类，分别是分析模型，机械本构模型和耦合多物理模型。对于每个类别，将对每个模型进行批判性讨论，以通过比较相应的控制机制来确定其适用性和潜在的进一步发展。然后，针对每种数学模型类别提供现有模型的比较。