通过对稠油出砂冷采的适用条件和机理的描述,引出了建立的有关稠油出砂冷采的数学模型介绍,主要涵盖工程法出砂模型、连续法中的水动力模型和耦合地质力学水动力学侵蚀模型、不连续法模型以及泡沫油模型。对于每一类型模型又给出研究人员针对不同因素采用不同方法建立的数学模型,并对这些模型做了评价和比较。针对稠油出砂冷采机理的复杂性,建议今后的模型应该逐渐加入更多的影响因素,以建立一个更完善的、更加接近生产实际的模型。最后,对于稠油出砂冷采技术的应用前景及后续开发技术,提出了部分见解。

Heavy oil is the most important resource and the way to replenish the loss of oil in the 21st century. Cold Heavy Oil Production with Sand (CHOPS) is an effective and important method to exploit heavy oil reservoir with the low cost. By describing the applicable condition and mechanism of CHOPS, the introduction of establishment about the mathematical model of CHOPS is educed; it mainly includes engineering method sand production model, continuous method of hydrodynamic model, water dynamics erosion model coupling geological mechanics, discontinuous method model, and foamy oil model. For each type of model, it gives researchers different methods to establish the mathematical model according to different factors, at the same time the models have been evaluated and compared with each other. Due to the complexity of the mechanism of CHOPS,in order to form a model which is more perfect and more close to the actual production, more influence factors should be gradually added in the future. Finally, for the application prospect and subsequent development technology of CHOPS, some own viewpoints are presented for the discussion.