Wang et al 2020c - Revision history

Rimni at 12:11, 17 November 2020

2020-11-17T12:11:26Z

Rimni at 12:10, 17 November 2020

2020-11-17T12:10:51Z

Rimni at 12:10, 17 November 2020

2020-11-17T12:10:13Z

Rimni at 08:01, 21 October 2020

2020-10-21T08:01:10Z

Rimni at 08:00, 21 October 2020

2020-10-21T08:00:51Z

Rimni at 12:06, 20 October 2020

2020-10-20T12:06:59Z

Rimni at 11:57, 20 October 2020

2020-10-20T11:57:10Z

Rimni at 11:56, 20 October 2020

2020-10-20T11:56:55Z

Rimni at 11:56, 20 October 2020

2020-10-20T11:56:16Z

Rimni at 11:53, 20 October 2020

2020-10-20T11:53:45Z

@@ Line 152: / Line 152: @@
 {| style="text-align: left; margin:auto;width: 100%;"
 |-
-| style="text-align: center;" | <math>\frac{EI}{h^{4} } \cdot x_{i+2} -\left[\frac{4EI}{h^{4} } +\frac{p\left(z_{i} \right)}{h^{2} } \right]\cdot x_{i+1} +\left[\frac{6EI}{h^{4} } +\frac{2p\left(z_{i} \right)}{h^{2} } \right]\cdot x_{i} -\left[\frac{4EI}{h^{4} }</math><math>+\frac{p\left(z_{i} \right)}{h^{2} } \right]\cdot x_{i-1} +\frac{EI}{h^{4} } \cdot x_{i-2} =q\left(z_{i} \right) </math>
+| style="text-align: center;" | <math>\frac{EI}{h^{4} } \cdot x_{i+2} -\left[\frac{4EI}{h^{4} } +\frac{p\left(z_{i} \right)}{h^{2} } \right]\cdot x_{i+1} +\left[\frac{6EI}{h^{4} } +\frac{2p\left(z_{i} \right)}{h^{2} } \right]\cdot x_{i} </math><math>-\left[\frac{4EI}{h^{4} }+\frac{p\left(z_{i} \right)}{h^{2} } \right]\cdot x_{i-1} +\frac{EI}{h^{4} } \cdot x_{i-2} =q\left(z_{i} \right) </math>
 |}
 | style="width: 5px;text-align: right;white-space: nowrap;" | (9)

@@ Line 152: / Line 152: @@
 {| style="text-align: left; margin:auto;width: 100%;"
 |-
-| style="text-align: center;" | <math>\frac{EI}{h^{4} } \cdot x_{i+2} -\left[\frac{4EI}{h^{4} } +\frac{p\left(z_{i} \right)}{h^{2} } \right]\cdot x_{i+1} +\left[\frac{6EI}{h^{4} } +\frac{2p\left(z_{i} \right)}{h^{2} } \right]\cdot x_{i} -\left[\frac{4EI}{h^{4} }</math> <math>+\frac{p\left(z_{i} \right)}{h^{2} } \right]\cdot x_{i-1} +\frac{EI}{h^{4} } \cdot x_{i-2} =q\left(z_{i} \right) </math>
+| style="text-align: center;" | <math>\frac{EI}{h^{4} } \cdot x_{i+2} -\left[\frac{4EI}{h^{4} } +\frac{p\left(z_{i} \right)}{h^{2} } \right]\cdot x_{i+1} +\left[\frac{6EI}{h^{4} } +\frac{2p\left(z_{i} \right)}{h^{2} } \right]\cdot x_{i} -\left[\frac{4EI}{h^{4} }</math><math>+\frac{p\left(z_{i} \right)}{h^{2} } \right]\cdot x_{i-1} +\frac{EI}{h^{4} } \cdot x_{i-2} =q\left(z_{i} \right) </math>
 |}
 | style="width: 5px;text-align: right;white-space: nowrap;" | (9)

@@ Line 152: / Line 152: @@
 {| style="text-align: left; margin:auto;width: 100%;"
 |-
-| style="text-align: center;" | <math>\frac{EI}{h^{4} } \cdot x_{i+2} -\left[\frac{4EI}{h^{4} } +\frac{p\left(z_{i} \right)}{h^{2} } \right]\cdot x_{i+1} +\left[\frac{6EI}{h^{4} } +\frac{2p\left(z_{i} \right)}{h^{2} } \right]\cdot x_{i} -\left[\frac{4EI}{h^{4} } +\frac{p\left(z_{i} \right)}{h^{2} } \right]\cdot x_{i-1} +\frac{EI}{h^{4} } \cdot x_{i-2} =q\left(z_{i} \right) </math>
+| style="text-align: center;" | <math>\frac{EI}{h^{4} } \cdot x_{i+2} -\left[\frac{4EI}{h^{4} } +\frac{p\left(z_{i} \right)}{h^{2} } \right]\cdot x_{i+1} +\left[\frac{6EI}{h^{4} } +\frac{2p\left(z_{i} \right)}{h^{2} } \right]\cdot x_{i} -\left[\frac{4EI}{h^{4} }</math> <math>+\frac{p\left(z_{i} \right)}{h^{2} } \right]\cdot x_{i-1} +\frac{EI}{h^{4} } \cdot x_{i-2} =q\left(z_{i} \right) </math>
 |}
 | style="width: 5px;text-align: right;white-space: nowrap;" | (9)

@@ Line 306: / Line 306: @@
 <div id='img-4'></div>
-{| style="text-align: center; border: 1px solid #BBB; margin: 1em auto; width: 60%;"
+{| style="text-align: center; border: 1px solid #BBB; margin: 1em auto; width: 80%;"
 |-
 |style="padding:10px;"|  [[Image:Draft_Neng_988345793-image20.png|700px]]

@@ Line 306: / Line 306: @@
 <div id='img-4'></div>
-{| style="text-align: center; border: 1px solid #BBB; margin: 1em auto; width: auto;max-width: auto;"
+{| style="text-align: center; border: 1px solid #BBB; margin: 1em auto; width: 60%;"
 |-
-|style="padding:10px;"|  [[Image:Draft_Neng_988345793-image20.png|600px]]
+|style="padding:10px;"|  [[Image:Draft_Neng_988345793-image20.png|700px]]
 |- style="text-align: center; font-size: 75%;"
 | colspan="1" style="padding:10px;"| '''Figure 4'''. Variation of pipe’s mechanical behaviours with ocean wave conditions. (a) Stress performance at lift-off point. (b) Displacement at wellhead. (c) Stress distribution when the SPT is installed at 1000m

@@ Line 425: / Line 425: @@
 <div class="auto" style="text-align: left;width: auto; margin-left: auto; margin-right: auto;font-size: 85%;">
-[1] Kaiser, M., MARK, J. Deepwater subsea well spuds on the decline: Dry tree versus wet tree trends examined. Offshore. 79: 26-27, 2019.
+[1] Kaiser M., Mark J. Deepwater subsea well spuds on the decline: Dry tree versus wet tree trends examined. Offshore, 79:26-27, 2019.
-[2] Kanhua, S., Jilin, L., Li, F, W., Meng, L. Measures to Prevent Subsea Wellhead Instability for Deepwater Drilling: Proceedings of the 4th Annual International Conference on Materials Science and Environmental Engineering. Mater. Environ. Eng., Proc. Annu. Int. Conf. Mater. Sci. Environ. Eng., 4th. Mater. Environ. Eng. 1245-1256, 2017.
+[2] Kanhua S., Jilin L., Li,F,W., Meng L. Measures to prevent subsea wellhead instability for deepwater drilling. Proceedings of the 4th Annual International Conference on Materials Science and Environmental Engineering. Mater. Environ. Eng., Proc. Annu. Int. Conf. Mater. Sci. Environ. Eng., 4th. Mater. Environ. Eng., 1245-1256, 2017.
-[3] Dennis, D. Subsea-Hardware Installation from an FDPSO. J. Pet. Technol. 62(8): 60-62, 2010.
+[3] Dennis D. Subsea-hardware installation from an FDPSO. J. Pet. Technol., 62(8):60-62, 2010.
-[4] Robert, E. Subsea tree installations. World Oil. 221(11): 27, 2000.
+[4] Robert E. Subsea tree installations. World Oil, 221(11):27, 2000.
-[5] Chris, C. Development of Installation Pipe-Riser-Intervention Systems Offshore West Africa. J. Pet. Technol. 67(6): 104-106, 2003.
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-[6] Hu, Y., Cao, J., Yao, B., Zeng, Z. Dynamic behaviors of a marine riser with variable length during the installation of a subsea production tree. J. Mar. Sci. Technol. 23(2): 378-388, 2018.
+[6] Hu Y., Cao J., Yao B., Zeng Z. Dynamic behaviors of a marine riser with variable length during the installation of a subsea production tree. J. Mar. Sci. Technol., 23(2):378-388, 2018.
-[7] Khan R. Nonlinear dynamic analysis of deep-water marine risers. Ships and Offshore Struct. 13(1): 10-19, 2006.
+[7] Khan R. Nonlinear dynamic analysis of deep-water marine risers. Ships and Offshore Struct., 13(1):10-19, 2006.
-[8] Gardner T., Kotch A. Dynamic analysis of riser and caissons by the element method. OTC. 2651: 405-413, 1976.
+[8] Gardner T., Kotch A. Dynamic analysis of riser and caissons by the element method. OTC, 2651:405-413, 1976.
-[9] Gong, X., Liu, S., Duan, L., Wang, G. Research on the running instalment process of deep sea underwater Christmas tree. China Petrol Machinery. 41(4): 50-54, 2013.
+[9] Gong X., Liu S., Duan L., Wang G. Research on the running instalment process of deep sea underwater Christmas tree. China Petrol Machinery, 41(4):50-54, 2013.
-[10] Raman, N. W., Baddour, E. Three-dimensional dynamics of a flexible marine riser undergoing large elastic deformations. Multibody Syst Dyn. 10(4): 393-423, 2003.
+[10] Raman N.W., Baddour E. Three-dimensional dynamics of a flexible marine riser undergoing large elastic deformations. Multibody Syst. Dyn., 10(4):393-423, 2003.
-[11] Fan, H., Li, C., Wang, Z. Dynamic analysis of a hang-off drilling riser considering internal solitary wave and vessel motion. J. Nat. Gas Sci. Eng. 37: 512-522, 2017.
+[11] Fan H., Li C., Wang Z. Dynamic analysis of a hang-off drilling riser considering internal solitary wave and vessel motion. J. Nat. Gas Sci. Eng., 37:512-522, 2017.
-[12] Bai, Y., Ruan, S., Yuan, X. 3D mechanical analysis of subsea manifold installation by drill pipe in deep water. Ships and Offshore Struct. 9(3): 333-343, 2014.
+[12] Bai Y., Ruan S., Yuan X. 3D mechanical analysis of subsea manifold installation by drill pipe in deep water. Ships and Offshore Struct., 9(3):333-343, 2014.
-[13] Donald, L. New Research Supports a Modification of Samuel Eliot Morison’s Theory Concerning Columbus’s Inter-Island Route Through the Bahamas. Terrae Incognitae., 49(2):114-131, 2017.
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-[14] Ortega, A., Rivera, A., Larsen, M. Slug flow and waves induced motions in flexible riser. J. Energy Resour. Technol., 140(1):0892-7219, 2018.
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 </div>

@@ Line 414: / Line 414: @@
 # The accuracy of the established mathematical model was verified using OrcaFlex simulation. The variation tendencies of the mechanical behaviors obtained by the proposed model were in good agreement with those obtained by the OrcaFlex simulation.
 # The ocean wave applied on the drill pipe during SPT installation rarely affects the maximum stress (located at the lift-off point of pipe) and the displacement at wellhead (location where the SPT needed to be adjusted) in deep-water where the SPT installed.
 # The displacement of the pipe at wellhead and the maximum stress at lift-off point of the pipe increase gradually with ocean current, water depth and drill pipe size while decrease slowly with SPT weight. In addition, the displacement of SPT is roughly away from subsea wellhead in a linear relationship with the water depth.
 # According to the variations of the operability envelopes, which were established based on the wind-generated current velocity and the tidal velocity, changes of depths in deep water and SPT weight have few effects on the operation ocean conditions and it would be better to choose smaller pipe to obtain larger permissible ocean conditions.

@@ Line 413: / Line 413: @@
 Based on the analysis of the quantitatively strength-related factors such as the stresses and deformations of the drill pipe, this research established a mathematical model to investigate the operability envelopes for SPT installation using drill pipe. The ocean environments, drill pipe size, and SPT weight that might dominate the deformation and mechanical behavior of the pipe have been evaluated based on the proposed model. Based on the work done in this research, the following results and conclusions were obtained.
-# (a) The accuracy of the established mathematical model was verified using OrcaFlex simulation. The variation tendencies of the mechanical behaviors obtained by the proposed model were in good agreement with those obtained by the OrcaFlex simulation.
+# The accuracy of the established mathematical model was verified using OrcaFlex simulation. The variation tendencies of the mechanical behaviors obtained by the proposed model were in good agreement with those obtained by the OrcaFlex simulation.
-* (b) The ocean wave applied on the drill pipe during SPT installation rarely affects the maximum stress (located at the lift-off point of pipe) and the displacement at wellhead (location where the SPT needed to be adjusted) in deep-water where the SPT installed.
+# The ocean wave applied on the drill pipe during SPT installation rarely affects the maximum stress (located at the lift-off point of pipe) and the displacement at wellhead (location where the SPT needed to be adjusted) in deep-water where the SPT installed.
-* (c) The displacement of the pipe at wellhead and the maximum stress at lift-off point of the pipe increase gradually with ocean current, water depth and drill pipe size while decrease slowly with SPT weight. In addition, the displacement of SPT is roughly away from subsea wellhead in a linear relationship with the water depth.
+# The displacement of the pipe at wellhead and the maximum stress at lift-off point of the pipe increase gradually with ocean current, water depth and drill pipe size while decrease slowly with SPT weight. In addition, the displacement of SPT is roughly away from subsea wellhead in a linear relationship with the water depth.
-* (d) According to the variations of the operability envelopes, which were established based on the wind-generated current velocity and the tidal velocity, changes of depths in deep water and SPT weight have few effects on the operation ocean conditions and it would be better to choose smaller pipe to obtain larger permissible ocean conditions.
+# According to the variations of the operability envelopes, which were established based on the wind-generated current velocity and the tidal velocity, changes of depths in deep water and SPT weight have few effects on the operation ocean conditions and it would be better to choose smaller pipe to obtain larger permissible ocean conditions.
 ==Acknowledgements==

@@ Line 206: / Line 206: @@
 {| style="text-align: left; margin:auto;width: 100%;"
 |-
-| style="text-align: center;" | <math>a_{pk} =\max \sum _{\begin{array}{l} {1\le s\le n} \\ {s\ne pos[1],\cdots ,pos[k-1]} \end{array}}\left|a_{sk} \right|  </math>
+| style="text-align: center;" | <math>a_{pk} =\max \sum _{\begin{array}{c} {1\le s\le n} \\ {s\ne pos[1],\cdots ,pos[k-1]} \end{array}}\left|a_{sk} \right|  </math>
 |}
 | style="width: 5px;text-align: right;white-space: nowrap;" | (13)