Research on segmented control equations and mechanical properties of marine exploration well conductor
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摘要:
为解决海洋探井隔水导管力学特性分析将导管泥线以下部分简化为固定约束导致的误差问题，采用达朗贝尔原理和微元平衡方程，结合Morison方程和API规范，将隔水导管分为空气段、水中段和海底土嵌入段，综合考虑风浪流载荷及管土相互作用，构建了更精确的理论力学模型。通过线性化处理和傅里叶级数展开实现非线性项的等效转换，最终将理论力学模型的偏微分方程组转化为一阶常微分方程组进行迭代求解。模型验证表明，其计算结果与有限元仿真高度吻合，最大侧向位移误差仅为0.84 m（波高13.8 m时），证实了模型的可靠性。案例分析发现，隔水导管的力学响应呈现明显空间特征：最大侧向位移出现在水下30 m处，最大转角位于空气段顶端，而最大Von Mises应力集中于泥线以下土体段（约260 MPa）。参数敏感性分析揭示：波高每增加7 m（从13.8 m增至20.7 m），导管侧向位移增幅达146%；流速从1.58 m/s升至2.32 m/s时，应力水平上升23%；导管壁厚增加6 mm可使应力降低15%；顶张力提升200 kN可使侧向位移减少28%；砂土内摩擦角变化对导管力学响应的影响较弱（内摩擦角减小10°仅使侧向位移增加5%）。研究表明，通过迭代计算确定土体影响深度的方法，替代传统的6倍管径固定约束假设，将理论力学模型精度提高约18%。
Abstract:In studies on the mechanical response of conductors in offshore exploration wells, existing research typically focuses only on the portion above the mudline and simplifies the analysis by assuming a fixed constraint at the mudline or at a depth of six pipe diameters below it. Although this approach reduces computational complexity, it introduces significant errors. To address this issue, a segmented theoretical model of the conductor that accounts for soil-structure interaction is established based on the equilibrium of infinitesimal elements and D'Alembert's principle, in combination with the Morison equation and API guidelines. An iterative solution method is applied to accurately calculate the mechanical response of the conductor. Model accuracy is validated, and a field case is used to investigate the effects of wave height, current velocity, and wall thickness on the conductor’s mechanical characteristics. The results show that the maximum lateral displacement occurs in the underwater section, the maximum rotation angle occurs in the above-water section, and the maximum Mises stress is observed in the soil-embedded section. These findings enhance the predictive accuracy of the theoretical model and offer valuable guidance for engineering design.
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Keywords:
- offshore drilling /
- drilling conductor /
- XXXX /
- control equations /
- mechanical properties
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图 1 探井钻井隔水导管结构示意
Figure 1. Schematic diagram of riser structure for exploratory well drilling
表 1 环境参数
Table 1 Environmental parameters
重现期/年 风速/（m·s−1） 波高/m 波周期/s 海面流速/（m·s−1） 1 31.6 13.8 10.8 1.58 10 38.1 18.7 13.4 2.07 25 42.7 20.7 14.3 2.32 
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