水力压裂参数优化的解析方法

摘要

An analytical method for optimizing fracture geometry size was presented, which can obtain the maximal dimensionless productivity idex( PI ) considering the limited proppant mass. The analytical expression considering the dimensionless PI, dimensionless fracture conductivity and fracture length was given, by which the optimal fracture length and the maximal dimensionhess PI can be calculated. This method is more simple, more convenient and faster than simulation. The calculated results show that there is only one optimal fracture length corresponding to the maximal dimensionless PI when the mass of injected proppant is fixed in known formation.%提出一种在支撑剂注入量受限的情况下(如海上油田的水力压裂),以无因次生产指数最大化为目标的水力压裂裂缝参数优化的解析方法.建立无因次生产指数、无因次裂缝导流能力和裂缝长度三者之间的解析关系式,用来确定最大无因次生产指数及其所对应的最佳裂缝长度.所提方法计算简单、方便、快捷.实例计算结果表明,在注入支撑剂质量和地层条件一定的情况下,水力压裂所形成的裂缝存在唯一的裂缝长度和宽度组合,使得无因次生产指数具有最大值.