CAJ | 학술논문

基质酸化是碳酸盐岩油气藏的重要增产措施，其增产效果极大程度上依赖于酸蚀蚓孔的生长情况。所以，运用数学模型对蚓孔生长进行模拟尤为重要。综述了毛细管模型、网格模型、无量纲模型与双尺度连续性模型等4种蚓孔生长模型的研究进展。毛细管模型运算简便，能模拟蚓孔生长过程中长度与半径的变化情况，但缺乏对最佳注入速率、面溶蚀、均一溶蚀等形态的认识；网格模型能较好地研究溶蚀情况，但由于大量繁琐的计算使其应用效率较低；无量纲模型能够较全面地描述溶蚀形态以及孔隙突破体积，但该模型不能独立运用，需要结合其他模型使用；双尺度连续模型能综合考虑各种影响因素，弥补了上述各类模型的不足。但是，目前缺乏对蚓孔密度的计算，仅局限于实验条件下的岩芯模拟。建议蚓孔模型应向现场发展，将分形理论与蚓孔模型结合，用分维表示蚓孔模型中的参数，简化模型运算的复杂程度，使其更好地适应现场实际。
기질산화시탄산염암유기장적중요증산조시，기증산효과겁대정도상의뢰우산식인공적생장정황。소이，운용수학모형대인공생장진행모의우위중요。종술료모세관모형、망격모형、무량강모형여쌍척도련속성모형등4충인공생장모형적연구진전。모세관모형운산간편，능모의인공생장과정중장도여반경적변화정황，단결핍대최가주입속솔、면용식、균일용식등형태적인식；망격모형능교호지연구용식정황，단유우대량번쇄적계산사기응용효솔교저；무량강모형능구교전면지묘술용식형태이급공극돌파체적，단해모형불능독립운용，수요결합기타모형사용；쌍척도련속모형능종합고필각충영향인소，미보료상술각류모형적불족。단시，목전결핍대인공밀도적계산，부국한우실험조건하적암심모의。건의인공모형응향현장발전，장분형이론여인공모형결합，용분유표시인공모형중적삼수，간화모형운산적복잡정도，사기경호지괄응현장실제。
Matrix acidizing is a major stimulation performance for carbonate reservoir.However, the efficiency of stimulation strongly depends on the wormhole propagation.Therefore,it is impor-tant to use mathematic models to describe the acidizing process and wormhole formation.These mod-els can be classified mainly into four types of capillary tube model,network model,dimensionless model and two-scale continuum model.Capillary tube model can easily simulate the wormhole propa-gation rate in x direction and y direction respectively.However,it can not simulate the optimum in-jection rate and other dissolution profiles such as face dissolution and uniform dissolution.Network model can study these dissolution profiles well,but many tedious calculations made the application ef-ficiency lower.Dimensionless model can completely describe the acidizing process and wormhole for-mation,but can not be used independently,and it needs to combine with other models.Many factors have been considered by two-scale continuum model.It can completely describe wormhole formation and acidizing process.In addition,the optimum injection rate and the minimum pore volume to break-through can be calculated.However,lack of wormhole density calculation has limited this model to simulate core under the experimental conditions.The author suggests the wormhole model should be applied to field scale,and combining fractal method with wormhole model is the way to solve these problems.