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RESEARCH PAPERS

Damping Effect on Mechanical Waves in an Elastic Solid Expanded Tubular

[+] Author and Article Information
A. Karrech

 Ecole Nationale des Ponts et Chaussées, 77455 Marne La Vallée, Cedex 2, Paris, France

A. Seibi1

Mechanical Engineering Department, College of Engineering, Petroleum Institute, P.O. Box 2533, Abu Dhabi, United Arab Emirates

T. Pervez

Mechanical and Industrial Engineering Department, College of Engineering, Sultan Qaboos University, P.O. Box 33, Al-Khod 123, Oman

1

Corresponding author

J. Pressure Vessel Technol 129(4), 698-712 (Aug 01, 2006) (15 pages) doi:10.1115/1.2767363 History: Received March 17, 2006; Revised August 01, 2006

The present paper studies the dynamics of submerged expanded elastic tubes due to postexpansion sudden mandrel release known as pop-out phenomenon. A mathematical model describing the dynamics of the borehole-fluid-tube system is presented. Coupling of the fluid-structure interaction and damping effects were taken into consideration. An analytical solution for the displacement, stress, and pressure wave propagation in the fluid-tube system was obtained. The developed model predicted localized critical regions where the structure might experience failure.

Copyright © 2007 by American Society of Mechanical Engineers
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References

Figures

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Figure 1

Schematic diagram showing tubular expansion

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Figure 2

Critical damping curves of the fluid-tube system

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Figure 3

Nondimensional axial displacement distribution in the inner fluid

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Figure 4

Nondimensional axial displacement distribution in the tube

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Figure 5

Nondimensional axial displacement distribution in the outer fluid

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Figure 6

Nondimensional axial displacement distribution in the inner fluid

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Figure 7

Nondimensional axial displacement distribution in the tube

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Figure 8

Nondimensional axial displacement distribution in the outer fluid

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Figure 9

Response of the inner fluid in terms of axial displacement

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Figure 10

Response of the pipe in terms of axial displacement

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Figure 11

Response of the outer fluid in terms of axial displacement

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Figure 12

Response of the inner fluid in terms of inner pressure

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Figure 13

Response of the tube in terms of axial stress

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Figure 14

Response of the outer fluid in terms of inner pressure

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Figure 15

Yield function (von Mises stress) distribution along the tube with respect to time (0⩽t⩽0.65s)

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Figure 16

Yield function (von Mises stress) distribution along the tube with respect to time (0⩽t⩽0.1s)

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Figure 17

Inner fluid frequency variation with the formation shear modulus

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Figure 18

Tubular frequency variation with the formation shear modulus

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Figure 19

Outer fluid frequency variation with the formation shear modulus

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Figure 20

Inner fluid wave propagation speed variation with the formation shear modulus

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Figure 21

Tubular wave propagation speed variation with the formation shear modulus

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Figure 22

Outer fluid wave propagation speed variation with the formation shear modulus

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Figure 23

Coupling effect of the tubular on the inner fluid mode versus formation shear modulus

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Figure 24

Coupling effect of the outer fluid on the inner fluid mode versus formation shear modulus

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Figure 25

Coupling effect of the inner fluid on the tubular mode versus formation shear modulus

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Figure 26

Coupling effect of the outer fluid on the tubular mode versus formation shear modulus

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Figure 27

Coupling effect of the inner fluid on the outer fluid mode versus formation shear modulus

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Figure 28

Coupling effect of the tubular on the outer fluid mode versus formation shear modulus

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Figure 29

Inner fluid frequency variation with the tubular stiffness

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Figure 30

Tubular frequency variation with the tubular stiffness

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Figure 31

Outer fluid frequency variation with the tubular stiffness

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Figure 32

Inner fluid wave propagation speed variation with the tubular stiffness

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Figure 33

Tubular wave propagation speed variation with the tubular stiffness

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Figure 34

Outer fluid wave propagation speed variation with the tubular stiffness

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Figure 35

Coupling effect of the tubular on the inner fluid mode versus tubular stiffness

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Figure 36

Coupling effect of the outer fluid on the inner fluid mode versus tubular stiffness

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Figure 37

Coupling effect of the inner fluid on the tubular mode versus tubular stiffness

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Figure 38

Coupling effect of the outer fluid on the tubular mode versus tubular stiffness

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Figure 39

Coupling effect of the inner fluid on the outer fluid mode versus tubular stiffness

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Figure 40

Coupling effect of the tubular on the outer fluid mode versus tubular stiffness

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Figure 41

Inner fluid frequency variation with the relative outer and inner tubular radius difference

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Figure 42

Inner fluid wave propagation speed variation with the relative outer and inner tubular radius difference

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Figure 43

Tubular frequency variation with the relative outer and inner tubular radius difference

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Figure 44

Tubular wave propagation speed variation with the relative outer and inner tubular radius difference

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Figure 45

Outer fluid frequency variation with the relative outer and inner tubular radius difference

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Figure 46

Outer fluid wave propagation speed variation with the relative outer and inner tubular radius difference

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Figure 47

Coupling effect of the tubular on the inner fluid mode versus relative outer and inner tubular radius difference

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Figure 48

Coupling effect of the outer fluid on the inner fluid mode versus relative outer and inner tubular radius difference

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Figure 49

Coupling effect of the inner fluid on the tubular mode versus relative outer and inner tubular radius difference

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Figure 50

Coupling effect of the outer fluid on the tubular mode versus relative outer and inner tubular radius difference

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Figure 51

Coupling effect of the inner fluid on the outer fluid mode versus relative outer and inner tubular radius difference

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Figure 52

Coupling effect of the tubular on the outer fluid mode versus relative outer and inner tubular radius difference

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