In this paper, the influence of the damping matrix and mud discharge on the recoil response of deepwater drilling riser after emergency disconnection is studied based on our published study. Mathematically, the deepwater drilling riser is discretized into a mass-spring-damping system with three degrees of freedom (DOF). The governing equation is solved by the principal coordinates analysis method (Method A) and the complex modal analysis method (Method B), respectively. Firstly, the mathematical expression of the frictional resistance acting on the riser during mud discharge is obtained by curve fitting. Then, the detailed solving process and the difference of the results calculated by the two solving methods are shown. The influence of the non-diagonal elements in the damping matrix on the recoil response is studied. In addition, the effect of the frictional resistance of mud discharge on the recoil characteristics is assessed. Finally, conclusions are drawn based on the analysis.

本文基于已发表的研究，研究了阻尼矩阵和排泥对深水钻探立管紧急断开后的后坐力响应的影响。在数学上，深水钻井隔水管离散为具有三个自由度（DOF）的质量弹簧阻尼系统。控制方程分别通过主坐标分析方法（方法A）和复杂模态分析方法（方法B）求解。首先，通过曲线拟合得到了排泥过程中作用在立管上的摩擦阻力的数学表达式。然后，显示了详细的求解过程以及通过两种求解方法计算出的结果的差异。研究了阻尼矩阵中非对角线元素对后坐力响应的影响。此外，评估了排泥摩擦阻力对反冲特性的影响。最后，在分析的基础上得出结论。