水力压裂实时解释的最优化模型及数值计算方法

Optimization model and numerical calculation for real-time
explanation of hydraulic fracturing

杨丹 郭大立 屈怀林

西南石油大学，四川 成都 610500 新疆油田公司勘探开发研究院，新疆 克拉玛依 834000

压裂压力分析与参数解释的实质是压力历史反演。反演是一种从系统响应到系统输入来描述系统特征及其相关参数的方法。对水力压裂来讲，这个系统就是通过对记录压力的分析，提取地层和液体特征，从而确定裂缝的几何形状。本文综合应用逐步线性最小二乘法与约束变尺度法的最优化方法，利用地层特性参数与液体特征参数的数据库，提出了切实可行的压裂实时解释方法。

The essential of fracturing pressure analysis and parameters explanation is the pressure history inversion. The inversion is a
method for the system characteristics and its parameters description, which begins from the system response to system input.
Through analyzing the pressure records in hydraulic fracturing, we can gain the formation and the fluid characteristic parameters
and then judge the geometrical shape of a crack. The paper integrates the optimization of stepwise linear least-squared method and
constraint scale change method with the parameters of the formation and the fluid characteristics, and puts forward the feasible
fracturing real-time explanation method.