To analytically describe the internal stress in a fill mass made of granular man-made material (cemented paste backfill, CPB), a new 3D effective stress model is developed. The developed model integrates Bishop effective stress principle, water retention relationship, and arching effect. All model parameters are determined from measurable experimental data. The uncertainties of the model parameters are examined by sensitivity analysis. A series of model application is conducted to investigate the effects of field conditions on the internal stress in CPB. The obtained results show that the proposed model is able to capture the influence of operation time, stope geometry, and rock/CPB interface properties on the effective stress in CPB. Hence, the developed model can be used as a useful tool for the optimal design of CPB structure.

中文翻译：

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水泥浆回填内应力的分析评估

为了分析描述由粒状人造材料（水泥浆回填，CPB）制成的填充物的内部应力，开发了一种新的3D有效应力模型。开发的模型集成了Bishop有效应力原理，保水关系和拱效应。所有模型参数均由可测量的实验数据确定。通过敏感性分析检查模型参数的不确定性。进行了一系列模型应用，以研究现场条件对CPB内应力的影响。所得结果表明，所提出的模型能够捕获操作时间，采场的几何形状以及岩石/ CPB界面特性对CPB中有效应力的影响。因此，开发的模型可以用作CPB结构优化设计的有用工具。