With the growing demand of mineral consumption, the management of the mining waste is crucial. Cemented paste backfill (CPB) is one of the techniques developed by the mining industry to fill the voids generated by the excavation of underground spaces. The CPB process is the subject of various studies aimed at optimizing its implementation in the field. In this article, we focus on the modelling of the backfill phase where it has been shown in [Vigneaux et al., Cem. Concr. Res. 164 (2023) 107038] that a viscoplastic lubrication model can be used to describe CPB experiments. The aim here is to propose an accelerated method for performing the parameters' estimation of the properties of the paste (typically its rheological properties), with an inverse problem procedure based on observed height profiles of the paste. The inversion procedure is based on a metamodel built from an initial partial differential equation model, thanks to a Polynomial Chaos Expansion coupled with a Principal Component Analysis.

翻译：随着矿物消耗需求的日益增长，采矿废料的管理至关重要。膏体充填（CPB）是采矿行业开发的一种填充地下空间开挖后产生空洞的技术。CPB工艺是多项研究的主题，旨在优化其在现场的实施。本文聚焦于充填阶段的建模，文献[Vigneaux et al., Cem. Concr. Res. 164 (2023) 107038]已证明，可采用黏塑性润滑模型描述CPB实验。本文旨在提出一种加速方法，通过基于观测到的膏体高度剖面的逆问题程序，估计膏体性质（通常为其流变性质）的参数。该逆过程基于由初始偏微分方程模型构建的元模型，该模型结合了多项式混沌展开与主成分分析。