Heterogeneous combination flooding is a new chemical flooding method for further enhancing oil recovery in post-polymer-flooding reservoirs,and its main components of displacing agents include branched preformed particle gel ( B-PPG) ,polymer and surfactant.According to laboratory experiments,the physicochemical properties of B-PPG and its oil-displacing characteristics are obviously different from that of polymer.The traditional mathematics model and simula-tors for chemical flooding can not accurately describe the oil displacement mechanism of B-PPG.In order to figure out the mechanism of heterogeneous combination flooding,a concept of particle throughput factor was introduced based on labora-tory experiment results.We described the discontinuous migration features of B-PPG particles,modified the mathematical representation of residual resistance coefficient, built a new mathematical model, and performed fast solution algorithm research and software realization.Numerical experiments showed that the mathematical model can satisfactorily describe the oil-displacing mechanism of B-PPG,fit laboratory experiment results,and show good performance in history matching and dynamic tracking in field application.%非均相复合驱是一项应用于聚合物驱后油藏进一步提高采收率的化学驱方法，其主要的驱替剂为预交联凝胶颗粒B－PPG、聚合物和表面活性剂。从室内实验结果看，B－PPG颗粒的物理化学性质及驱油特征与聚合物有着明显的区别。传统的化学驱数学模型与应用软件无法准确描述其驱油机理。为深入研究非均相复合驱体系的驱油机理，基于室内实验的认识，引入了颗粒通过因子的概念，描述B－PPG颗粒的非连续性运移特征，并修正了残余阻力系数的数学表征方式，建立了新的数学模型，进行了快速求解算法研究和软件实现。算例测试表明，新的数学模型较好地反映了预交联凝胶颗粒的驱油机理，拟合了室内实验结果，并实现了矿场的拟合、跟踪应用。
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