拉格朗日描述在水平井渗流场中的应用探索——油气渗流力学教材增添内容之建议

Application of Lagrangian Description to the Flow Field Around a Horizontal Well——Suggestion on Adding New Contents to the Textbooks for Fluid Mechanics in Porous Media

针对齐成伟导出的无限大水平地层中每一流体质点流向有限长直裂缝的运动学公式,从油气渗流力学角度进行分析模拟,并在此基础上提出相应教学改革建议。从教材章节结构、学生需具备的数学基础、学生创新意识的培养、学生求真求美动力的诱发等角度,建议油气渗流力学教材应当吸纳该公式的推导过程及应用,此节内容应预留合理的授课学时。

The earliest research on kinematics of fluids in porous media was conducted by Qi Chengwei. He derived the kinematic formula describing fluids flow into or out of a straight fracture with finite length in the infinite horizontal formation. The nature of the formula is analyzed and the movement of the oil-water interface during water injection or oil production through a straight fracture is predicted by using the formula. This formula provides a theoretical base for predicting the water breakthrough time of a water flood or regular horizontal well. Considering the structure of the textbooks, the necessary mathematical foundation, the training of students＇ innovation consciousness, the stimulation of students＇ interest in pursuing truth and beauty, it is suggested that the derivation process of the kinematic formula derived by Qi Chengwei should be adopted by the textbooks for fluid mechanics of oil and gas in porous media.