Abstract This paper develops a transient wave-based method to estimate the viscoelastic parameters (VEPs) of a pipe where unknown leaks may exist. The proposed method exploits the fact that the time instants at which the transient pressure signal crosses the steady-state pressure signal is independent of leaks and dependent on VEPs. It is demonstrated that the resulting optimization problem is convex, i.e., the convergence to the optimal VEPs is guaranteed. Numerical and experimental results illustrate that the transient model with estimated VEPs (obtained from leaking-pipe data) accurately replicates the transient behavior of the pipe.

中文翻译：

---

估计有未知泄漏的管道的粘弹性

摘要 本文开发了一种基于瞬态波的方法来估计可能存在未知泄漏的管道的粘弹性参数 (VEP)。所提出的方法利用了这样一个事实，即瞬态压力信号与稳态压力信号交叉的时刻与泄漏无关并取决于 VEP。证明了由此产生的优化问题是凸的，即保证收敛到最优VEP。数值和实验结果表明，具有估计 VEP（从管道泄漏数据中获得）的瞬态模型准确地复制了管道的瞬态行为。