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提出了一种新的模型来计算碳酸盐岩酸化过程中蚓孔的长度和临界注入速度。该模型通过各种酸液动力学(包括对流、扩散和酸液反应)来处理蚓孔过程。当已知岩石和酸液性质时,由相关的物理参数,可以预测出蚓孔的长度。与具体的石灰岩和白云岩岩心实验数据相比较,该模型精确预测了蚓孔的突破时间;还可计算出临界注入速度(或者说最优注入速度)。在实际的应用中,模型能够通过分形维数来恰当地延伸到二维和三维径向流中。提出的蚓孔模型适用于包括裸眼井和射孔井的油田实际情况。在理论和实验研究的基础上,该模型能够优化油田碳酸盐岩酸化措施。
A new model was proposed to calculate the length of the wormholes and the critical injection velocity during carbonate acidification. The model processes wormholes through a variety of acid kinetics including convection, diffusion and acid reaction. When rock and acid properties are known, the wormhole length can be predicted from the relevant physical parameters. Compared with the experimental data of limestone and dolomite cores, the model accurately predicts the breakthrough time of wormholes and the critical injection velocity (or the optimal injection velocity) can also be calculated. In practical applications, the model can be properly extended to two-dimensional and three-dimensional radial flow through the fractal dimension. The proposed wormhole model is suitable for the actual situation of oilfields including openhole and perforating wells. Based on the theoretical and experimental studies, this model can optimize carbonate acidification in oilfields.