Abstract From the development of a semi-autogenous grinding model based on effective grinding rates and internal classification presented during the nineties ( Magne et al., 1995 ) the state of the art of the mathematical structure of this model was updated, presenting the development of each subprocess from the inside of the mill in detail, considering grinding, internal classification, and mass transport. The developed model was used to demonstrate its predictive capacity using results from SAG pilot tests on copper ores. After applying the model, the ability to replicate the results obtained for size distributions of internal load, product, and the total filling level was demonstrated. This article presents, from a simplified approach and strongly based on the observation of the experimental data obtained at pilot scale, the first approach and details of how to use the model, being an alternative to the current state of the art.

中文翻译：

---

基于有效磨削率和三级内部分级的半自磨模型——第一部分

摘要 从九十年代提出的基于有效磨削率和内部分类的半自动磨削模型的发展（Magne 等人，1995 年）更新了该模型数学结构的最新技术，展示了从磨机内部详细了解每个子过程，考虑研磨、内部分类和质量传输。开发的模型用于使用铜矿石 SAG 试点测试的结果证明其预测能力。应用该模型后，证明了能够复制内部载荷、产品和总填充水平的尺寸分布所获得的结果。本文从一种简化的方法并强烈基于对中试规模获得的实验数据的观察，