Usually, the concentration of minerals is carried out with a set of flotation and grinding units. Most of the modeling strategies for the flotation and grinding stages have followed separate developmental paths. This paper presents a strategy based on using flotation studies to model flotation and grinding via an integrated approach. The methodology, which is an approximate method that allows one to study of the effects of grinding on flotation circuits, is applied to a copper sulfide mineral with appropriate results. Given its nature, the application of this method will help preliminary studies on the design, improvement, and simulation of flotation circuits. The major advantages of this method are its simplicity and low cost. Thus, the main contribution of this work is a new strategy to model grinding for integration into the modeling of flotation circuits. This new strategy can be extended to other concentration technologies that include grinding.

通常，矿物质的浓缩是通过一组浮选和粉碎单元进行的。浮选和磨碎阶段的大多数建模策略都遵循不同的发展路径。本文提出了一种基于浮选研究的策略，用于通过集成方法对浮选和磨削进行建模。该方法是一种近似方法，可让人们研究研磨对浮选回路的影响，该方法已应用于硫化铜矿物，并具有适当的结果。鉴于其性质，该方法的应用将有助于对浮选回路的设计，改进和仿真进行初步研究。该方法的主要优点是它的简单性和低成本。因此，这项工作的主要贡献是为磨削建模提供了一种新的策略，以便集成到浮选回路的建模中。该新策略可以扩展到包括研磨在内的其他浓缩技术。