提出了一个注蒸汽加泡沫过程的数学模型并讨论了数值处理方法。模型考虑了泡沫剂损失的各种机理及泡沫的流动阻力。用修改气相相对渗透率和束缚气饱和度的方法描述泡沫的流动阻力。泡沫的流动阻力受泡沫剂浓度、温度、油饱和度、渗透率以及水相和气相达西流速的影响。对一个现场问题的模拟结果表明：在非均质油藏注泡沫可以改善蒸汽的波及体积，提高采收率。 A mathematic model of steam injection plus foam process is proposed and numerical methods are discussed. The model considers the various mechanisms of foam loss and the flow resistance of the foam. The flow resistance of the foam is described by modifying the relative permeability of the gas and the saturation of the gas. The flow resistance of the foam is affected by the concentration of foam, the temperature, the oil saturation, the permeability and the Darcy flow rate in the water phase and the gas phase. The simulation results of a field problem show that the injection of foam in a heterogeneous reservoir can improve the volume of steam and increase the recovery rate.