Abstract: The authors propose a simulated annealing (SA) based inversion method to calculate hydraulic fracture parameters. A synthetic tilt data is used to demonstrate the accuracy of this new approach when inversing the hydraulic fracture parameters such as central position, azimuth, dip and volume. Compared with conventional gradient-based approaches or Bayesian inversion method, the new SA-based method can not only estimate the fracture parameters effectively, but also enlarge the objective function’s convergent region significantly. It relieves the accuracy requirement on initial guess, so that its applicable scope is extended significantly, and any prior fracture information to start with is unnecessary. This study provides algorithmic foundation for the real-time calculation of fracture parameters during hydraulic fracturing.

Key words: simulated annealing, inversion, fracture parameter, tilt field, hydraulic fracturing

摘要： 提出一种基于模拟退火的水力压裂裂缝参数反演算法, 并以合成的倾斜场数据为例, 对水压裂缝的中心位置、倾向、倾角和体积等参数进行了反演试算。试算结果表明, 与传统的梯度法或贝叶斯反演方法相比, 这种新方法在有效估算水力压裂裂缝关键参数的同时, 显著地扩大了目标函数的收敛区域, 降低了算法对裂缝参数初始值精度的依赖程度, 提升了反演算法的适用范围, 并且不需要任何裂缝参数的先验信息。该研究为水力压裂过程中裂缝参数的实时解算提供了算法基础。

关键词: 模拟退火, 反演, 裂缝参数, 倾斜场, 水力压裂