Matrix acidizing is one of the most effective stimulation techniques to achieve industrial development of carbonate reservoirs. In this work, a two-scale continuum model is modified to consider mass conversion between liquid and solid phases. The results show that the mass conversion between liquid and solid phases is very important and nonnegligible. Compared to modified model, original model overestimates amount of acid required for core breakthrough. A series of numerical cases based on modified model are presented for sensitivity studies on acid injection conditions, core geometries, acid, and rock properties. The modified model can well capture optimum acid injection velocity and typical dissolution patterns observed in experimental studies. Pore volume to breakthrough (PVBT) is very sensitive to acid injection concentration and acid surface reaction rate. Increasing injected acid concentration substantially reduces the amount of solute required but acid injection mass does not change significantly. Strong acid can effectively reduce least pore volume to breakthrough (PVBT) but meanwhile optimum acid injection velocity obviously increases. The simulation results are compared with available experimental and numerical data and found to attain a consistent match.

基质酸化是实现碳酸盐岩油藏工业开发的最有效的增产技术之一。在这项工作中，修改了两尺度连续体模型以考虑液相和固相之间的质量转化。结果表明，液相和固相之间的质量转化非常重要且不可忽略。与修改模型相比，原始模型高估了岩心突破所需的酸量。提出了一系列基于修正模型的数值案例，用于对酸注入条件，岩心几何形状，酸和岩石特性进行敏感性研究。修改后的模型可以很好地捕获最佳的酸注入速度和在实验研究中观察到的典型溶解模式。破孔体积（PVBT）对酸注入浓度和酸表面反应速率非常敏感。增加注入的酸浓度会大大减少所需的溶质量，但注入酸的质量不会明显改变。强酸可以有效地减小最小孔体积至突破（PVBT），但同时最佳酸注入速度明显增加。将模拟结果与可用的实验和数值数据进行比较，发现达到一致。