Remaining Life of a Pipeline
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υ Sol 1,<br />
0<br />
j 20.. 10000 Es( j) Eo.<br />
e Sol 1 0<br />
,<br />
e υ . j<br />
,<br />
. j<br />
,<br />
e υ . j<br />
Yj ( ) qnorm 0.99, Sol .<br />
2 0<br />
, Sol 0,<br />
0<br />
Zj ( ) qnorm 0.01, Sol .<br />
2 0<br />
, Sol 0,<br />
0<br />
0.3<br />
Wall Thickness vs Operating time (hrs)<br />
Operating time ( hrs)<br />
Es( j)<br />
Yj ( )<br />
Zj ( )<br />
D 1<br />
0.25<br />
0.2<br />
< > j j<br />
0.15<br />
0.1<br />
0 2000 4000<br />
, , j,<br />
D < 0><br />
6000 8000 1 10 4<br />
Wall Thicness (inchs)<br />
From the resuls gotten for the parameters ν and σ E equation (vii) is now completely defined<br />
pdf ( E(<br />
t))<br />
=<br />
f ( E,<br />
t)<br />
=<br />
1<br />
0.015<br />
e<br />
2π<br />
1<br />
⎡<br />
− ⎢<br />
2 ⎢<br />
⎣<br />
( E(<br />
t )<br />
−0.25e<br />
−4.693.10<br />
−5<br />
t 2<br />
0.015<br />
2<br />
)<br />
⎤<br />
⎥<br />
⎥<br />
⎦<br />
(vii)<br />
36
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