基于水-土-管耦合分析平台的海底管道在位稳定性研究

孟垂乾; 王乐; 张春会; 王智超; 田英辉

doi:10.11779/CJGE20230368

基于水-土-管耦合分析平台的海底管道在位稳定性研究 English Version

孟垂乾^{1, 2, 3,},
王乐^{1, 2, ,},
张春会^{4, 5},
王智超⁶,
田英辉⁷

1.
天津大学建筑工程学院, 天津 300350
2.
水利工程智能建设与运维全国重点实验室, 天津 300350
3.
北京怀柔实验室, 北京 101499
4.
河北科技大学建筑工程学院, 河北石家庄 050018
5.
河北省岩土与结构体系防灾减灾技术创新中心, 河北石家庄 050018
6.
湘潭大学土木工程学院, 湖南湘潭 411105
7.
墨尔本大学工程学院, 维多利亚墨尔本 3010

基金项目:

国家自然科学基金重大项目 51890913

详细信息

作者简介:
孟垂乾(1997—)，男，硕士，主要从事土与结构物相互作用的研究。E-mail: mcq1003@163.com

通讯作者:
王乐, E-mail：15620600240@163.com

中图分类号: TE83; TU432
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出版历程
- 收稿日期: 2023-04-26
- 刊出日期: 2025-02-28

In-place stability of submarine pipelines based on water-soil-pipeline coupling analysis platform

MENG Chuiqian^{1, 2, 3,},
WANG Le^{1, 2, ,},
ZHANG Chunhui^{4, 5},
WANG Zhichao⁶,
TIAN Yinghui⁷

1.
School of Civil Engineering, Tianjin University, Tianjin 300350, China
2.
State Key Laboratory of Hydraulic Engineering Intelligent Construction and Operation, Tianjin 300350, China
3.
Beijing Huairou Laboratory, Beijing 101499, China
4.
School of Civil Engineering, Hebei University of Science and Technology, Shijiazhuang 050018, China
5.
Hebei Technological Innovation Center of Disaster Prevention and Mitigation Engineering of Geotechnical and Structural System, Shijiazhuang 050018, China
6.
School of Civil Engineering, Xiangtan University, Xiangtan 411105, China
7.
Melbourne School of Engineering, The University of Melbourne, Melbourne 3010, Australia

摘要

摘要: 海底管道是深海油气工程中的关键组成部分，其在位稳定性受波流荷载、周围土体抗力及管道自身特性等因素的影响，现有分析方法难以准确评估水-土-管耦合作用下的海底管道在位稳定性。为此，首先利用FORTRAN编程语言分别建立了管-水作用分析程序与管-土作用分析程序。管-水作用分析程序采用傅里叶分析法计算作用在管道上的水动力荷载，并依据管道位移变化对该荷载进行实时修正；管-土作用分析程序基于已有的管土相互作用模型，计算管道在发生运动时受到的水平向土抗力。随后，基于有限元分析软件ABAQUS中的DLOAD与UEL子程序将上述程序进行耦合，最终形成用以分析海底管道在位稳定性的水-土-管耦合分析平台。利用该计算分析平台，综合考虑海况条件、土体性质及管道外形参数等因素对管道在位稳定性的影响，为实际工程中海底管道的在位稳定性分析提供了参考。
- 海底管道 /
- 计算平台 /
- 稳定分析 /
- 水动力 /
- 管土相互作用
Abstract: The submarine pipeline is a key component of deep-sea oil and gas engineering, and the in-place stability of pipelines is affected by ocean waves and hydrodynamic loads, soil resistance and pipeline characteristics. The existing analytical methods are difficult to accurately evaluate the in-place stability of submarine pipelines under water-soil-pipe coupling. For this reason, a pipeline-water interaction analysis program and a pipeline-soil interaction analysis program are established using the FORTRAN programming language firstly. The former uses the Fourier analysis to calculate the hydrodynamic loads acting on the pipelines, and corrects the loads based on displacement change of the pipelines in real time. The latter is based on the existing pipeline-soil interaction model to calculate the horizontal soil resistance of the pipelines during movement. Subsequently, the above programs are coupled based on the DLOAD and UEL subroutines in the finite element analysis software ABAQUS to ultimately form a water-soil-pipeline coupling analysis platform for analyzing the in-place stability of the submarine pipelines. The effects of sea conditions, soil properties and pipeline shape parameters on the in-place stability of the pipelines are comprehensively considered in the platform, providing a reference for the in-place stability analysis of the submarine pipelines in practical projects.
- submarine pipeline /
- computing platform /
- stability analysis /
- hydrodynamics /
- pipe-soil interaction

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图 1 计算平台工作逻辑

Figure 1. Working logic of computing platform

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图 2 作用于海底管道的水动力荷载

Figure 2. Hydrodynamic loads acting on submarine pipelines

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图 3 水动力荷载计算结果

Figure 3. Calculated results of hydrodynamic loads

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图 4 水动力计算结果比较

Figure 4. Comparison of calculated hydrodynamic results

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图 5 Verley管土相互作用模型

Figure 5. Verley's pipe-soil interaction model

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图 6 计算平台与Verley模型模拟结果对比

Figure 6. Comparison of simulated results between computing platform and Verley's model

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图 7 管道模型的组成

Figure 7. Composition of pipeline model

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图 8 程序耦合前后的结果比较

Figure 8. Comparison of results before and after program coupling

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图 9 管道竖直方向力-时间关系曲线

Figure 9. Vertical force-time relationship curve of pipelines

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图 10 管道水平方向力-时间关系

Figure 10. Horizontal force-time relationship curve of pipelines

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表 1 海床为砂土时对应的计算公式

Table 1 Corresponding formulae for seabed of sandy soil

参数	公式	编号
峰值土阻力	${F_{{\text{r2}}}} = \left\{ \begin{array}{l} {{\gamma '}_{\text{s}}}{D^2}(5.0 - 0.15{\kappa _i}){\left( {\frac{{{z_2}}}{D}} \right)^{1.25}}{\text{ (}}{\kappa _i} \leqslant 20){\text{ }} \hfill \\ 2.0{{\gamma '}_{\text{s}}}{D^2}{\left( {\frac{{{z_2}}}{D}} \right)^{1.25}}~~~~~~~~~~~~~~~~~~~({\kappa _i} > 20) \hfill \\ \end{array}{} \right.$	(9)
${y_1}$ 对应土阻力	${F_{{\text{r1}}}} = 0.3{F_{{\text{r2}}}}$	(10)
${y_3}$ 对应土阻力	${F_{{\text{r3}}}} = \left\{ \begin{array}{l} {{\gamma '}_{\text{s}}}{D^2}(5.0 - 0.15{\kappa _i}){\left( {\frac{{{z_3}}}{D}} \right)^{1.25}}{\text{ (}}{\kappa _i} \leqslant 20){\text{ }} \hfill \\ 2.0{{\gamma '}_{\text{s}}}{D^2}{\left( {\frac{{{z_3}}}{D}} \right)^{1.25}}~~~~~~~~~~~~~~~~~~~({\kappa _i} > 20) \hfill \\ \end{array}{} \right.$	(11)
初始埋深	${z_i} = 0.037D{\left( {\frac{{{{\gamma '}_{\text{s}}}{D^2}}}{{{W_{\text{s}}}}}} \right)^{ - 0.67}}$	(12)
${y_2}$ 对应埋深	${z_2} = 0.23D{\left[ {\frac{E}{{{{\gamma '}_s}{D^3}}}{\kappa _i}^{ - 1}{{\left( {\frac{y}{D}} \right)}^{ - 0.5}}} \right]^{0.31}} + {z_i}$	(13)
${y_3}$ 对应埋深	$z_3= \begin{cases}{\left[0.82-3.2\left(\frac{z_2}{D}\right)\right] z_2} & \left(\frac{z_2}{D} \leqslant 0.1\right) \\ 0.5 z_2 & \left(\frac{z_2}{D}>0.1\right)\end{cases}$	(14)
土体刚度参数	${\kappa _i} = \frac{{{{\gamma '}_{\text{s}}}{D^2}}}{{{W_{\text{s}}} - {F_{\text{L}}}}}$	(15)
能量	$E(t) = \int_0^t {{F_r}{\text{d}}s}$	(16)

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表 2 海床为黏土对应的计算公式

Table 2 Corresponding formulae for seabed clay soil

参数	公式	编号
峰值土阻力	${F_{{\text{r2}}}} = 4.13{s_u}D{G^{ - 0.392}}{\left( {\frac{{{z_2}}}{D}} \right)^{1.31}}$	(17)
${y_1}$ 对应土阻力	${F_{{\text{r2}}}} = 4.13{s_{\text{u}}}D{G^{ - 0.392}}{\left( {\frac{{{z_{\text{i}}}}}{D}} \right)^{1.31}}$	(18)
${y_3}$ 对应土阻力	${F_{{\text{r3}}}} = 4.13{s_{\text{u}}}D{G^{ - 0.392}}{\left( {\frac{{{z_3}}}{D}} \right)^{1.31}}$	(19)
初始埋深	${z_i} = 0.0071D{(S{G^{0.3}})^{3.2}} +$ $0.062D{(S{G^{0.3}})^{0.7}}$	(20)
${y_2}$ 对应埋深	${z_2} = 0.296{\xi ^{0.32}}{S^{0.637}}D$	(21)
${y_3}$ 对应埋深	${z_3} = 0.489S{G^{0.54}}$	(22)
能量	$E(t) = \int_0^t {{F_{\text{r}}}{\text{d}}s}$	(23)
其他参数	$S = \frac{{{W_{\text{s}}} - {F_{L} }}}{{D{s_{\text{u}}}}}$	(24)
	$G = \frac{{{s_{\text{u}}}}}{{D{\gamma _{\text{s}}}}}$	(25)
	$\xi = \frac{E}{{{s_{\text{u}}}{D^2}}}$	(26)

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表 3 波流参数

Table 3 Parameters of waves and currents

波浪类型	波谱	波速/ (m·s^-1)	波浪周期/ s	水流流速/ (m·s^-1)
不规则波	Jonswap	2.7	4.3	0

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表 4 管土参数

Table 4 Parameters of pipelines and soil

管道直径/m	管长/m	管道浮重度/kN·m^-3)	土的类型	土不排水强度/kPa	管土摩擦系数
1.0	1250	10.0	黏土	3	0.6

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表 5 南海海况参数

Table 5 Sea state parameters in South China Sea

类型		环境参数	一年一遇	百年一遇
波浪	有效波高/m		7.3	12.3
波浪	有效周期/s		11.3	14.5
洋流	洋流流速/(m·s^-1)		1.13	2.33

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