HDD Calculation

PROJECT: Prepared by: Checked by: HORIZONTAL DIRECTIONAL DRILLING CALCULATION

Ldepth

Lcross!"

R#rc$

R#rc%

20

600

720

720

10

10

L$

L#rc$

L%

L#rc%

L&

Ltot

52.18

125.66

247.17

125.66

52.18

602.86

!

DESIGN DATA Pipeline Diameer

D

hickne## $min%



!6 inch

"14.4 mm

15." mm

18.! mm $D& #ho'ld be 0.62 0.626 6 in

Pipeline )aerial *rade

X60

+),+ of Pipeline

+

415 )pa

+eel Den#iy

ρ#

7850 kg&m!

-aer Den#iy

ρ

1000 kg&m!

601"0.77 lb&in2

+oil Den#iy

1800 kg&m!

112.!7 lb&f!

)'d Den#iy

14!7.8 kg&m!

8".76 lb&f!

Drilling l'id Den#iy

ρd

11 lb&gal

+oil fricion /ngle

φ

!0 degree degree

Poi##on aio for +eel

ν

0.!

)od'l'# of la#iciy



207000 )pa

n#allaion 3empera're

31

1! degC

peraing 3empera're

32

65 degC

+eel Coefficien 3hermal

α

ricion acor of +oil

υ#

l'id $m'd% Drag Coefficien

υm'd

3e# Pre##'e

P3

De#ign Pre##'re

P

1!18.0" =g&m!

!0022866 lb&in2

0.0000117 0.0000117 mm&mm&C 0.5 0.05 lb&in2 1!7.1 ar 6!.5 ar

/##'med !44.7!785 Pa $3e# pre##'re "5  +),+% "21 lb&in2

CALCULATIONS Pipe Cro## +ecional /rea

6566"2.8" mm2

0.657 m2

44881.26 mm2

0.045 m2

+eel Cro## +ecional /rea

 /#

9ncorroded eigh of Pipe

-#

!52.!2 kg&m

Di#place )'d -eigh

- m'd

"44.20 kg&m

ffeci;e $#'bmerged% eigh of pipe

- #'b

<5"1.8" kg&m

!

PROJECT: Prepared by: Checked by: HORIZONTAL DIRECTIONAL DRILLING CALCULATION -#'b  -# < -m'd arh Pre##'re Coefficien  /rching acor 

=

0.577

κ 

0.148

PROJECT: Prepared by: Checked by: HORIZONTAL DIRECTIONAL DRILLING CALCULATION INSTALLATION STRESSES P'((!" Lo#ds Str#"ht Secto! L $ rciion orce

?f1?

15208.75 kg

D1

51678.!8 kg

- p1

8555."8 kg

?f1?  -#'b @ >1 co# $Φin% @ υ# l'id Drag D1  π @ D @ >1 A υm'd Pipe -eigh $longi'dinal direcion% -p1  - #'b @ >1 #in $Φin% P'lling load a end of >1

T$

)*&&$+$, -"

?farc1?

!718".!1 kg

Darc1

124447.14 kg

- parc1

0.00 kg

31  ?f1? B D1 < -p1

C're Secto! L #rc$ rciion orce

Φ con#idered 0deg for con#er;ai

?farc1?  -#'b @ >arc1 co# $Φ% @ υ# l'id Drag Darc1  π @ D @ >arc1 A υm'd Pipe -eigh $longi'dinal direcion%

Φ con#idered 0deg for con#er;ai

-parc1  - #'b @ >arc1 #in $Φ% P'lling load a end of >arc1

T#rc$

%$..6/+). -"

?f2?

7!146.80 kg

D2

244772.22 kg

- p2

0.00 kg

3arc1  31 B ?farc1? B Darc1 < -parc1

Str#"ht Secto! L % rciion orce

Φ  0deg for #raigh #ecion

?f2?  -#'b @ >2 co# $Φ% @ υ# l'id Drag D2  π @ D @ >2 A υm'd Pipe -eigh $longi'dinal direcion%

Φ  0deg for #raigh #ecion

-p2  - #'b @ >2 #in $Φ% P'lling load a end of >1

T%

)&/**6+6$ -"

32  3arc1 B ?f2? B D2 < -p2

C're Secto! L #rc% rciion orce

?farc2?

!718".!1 kg

Darc2

124447.14 kg

- parc2

118652.20 kg

T#rc%

*$*$/)+%6 -"

?f!?

15208.75 kg

Φ con#idered 0deg for con#er;ai

?farc2?  -#'b @ >arc2 co# $Φ% @ υ# l'id Drag Darc2  π @ D @ >arc2 A υm'd Pipe -eigh $longi'dinal direcion% -parc2  - #'b @ >arc2 #in $Φ% P'lling load a end of >arc2 3arc2  32 B ?farc2? B Darc2 B -parc2

Str#"ht Secto! L & rciion orce ?f!?  -#'b @ >! co# $o'% @ υ#

Φ con#idered "0deg for con#er;a

PROJECT: Prepared by: Checked by: HORIZONTAL DIRECTIONAL DRILLING CALCULATION l'id Drag

D!

51678.!8 kg

- p1

8555."8 kg

D!  π @ D @ >! A υm'd Pipe -eigh $longi'dinal direcion% -p!  -#'b @ >! #in $Φo'% P'lling load a end of >1

T&

3!  3arc2 B ?f!? B D! B -p! P'((!" Lo#ds

1

*.&6$*+&/ -"

*.&6$*+&/ -"

PROJECT: Prepared by: Checked by: HORIZONTAL DIRECTIONAL DRILLING CALCULATION Te!s(e Stress σ

3en#ile #re##

$.+.$ )Pa

σ  P'lling >oad# & +eel /rea

 /lloable 3en#ile +re## :

"0 of +),+ Co!dto! :

&/&+)0 )Pa O2

3e!d!" Stress σb

ending +re##

$&$+,) )Pa

σb   D & 2

A((o4#5(e 3e!d!" Stress D&

57.51

for D& ( 24."2 ( for D& (  for D& 

24."21 b 

4514!.08 lb&in2

!11.2507 )Pa

4".842 b 

!8485.01 lb&in2

265.!44" )Pa

4".842 b 

!"!12.27 lb&in2

271.0487 )Pa

A((o4#5(e 3e!d!" Stress S58 :

%/$+0) )Pa

Co!dto! :

O2

Hoop E7ter!#( Press're8 Stress Pe@

@ernal Pre##'re

60 kPa

$anging from !0 kPa o 60 kPa%

0.06 )Pa σhe@

oop +re## d'e o @ernal Pre##'re

$+/& )Pa

la#ic oop 'ckling +re## he

87!801"4!18 p#i

6B008 )Pa

Criical oop 'ckling +re## hc

87!801"4!18 p#i

hc

1572846206! p#i

!!104."2 ( he (

"6!05.2!

hc

68565.10 p#i

"6!05.2! ( he (

!7!18!

hc

601"0.77 p#i

Crtc#( Hoop 3'c-(!" Stress :

60$.0+// ps

A((o4#5(e hoop stress 1 6/ o; Crtc#( Hoop 3'c-(!" Stress 1 Co!dto! :

he (

!7!182.77 ( he 1

,$)+00 9P# %/*+0) 9P#

O2

Co<5!ed I!st#((#to! Stress Combined n#allaion +re## #ho'ld #ai#fy he folloing condiion:  = 0+.S >

t

%

 = S5 ? $

5

%

A  > 3  > % @A@3 ? $

 /  E $σ B σb < 0.5σhe@% & 1.25F & +

Co!dto! :

O2

Co!dto! :

O2

0.45!!

!!104."2

PROJECT: Prepared by: Checked by: HORIZONTAL DIRECTIONAL DRILLING CALCULATION   1.5 σhe@ & hc

0.0062

PROJECT: Prepared by: Checked by: HORIZONTAL DIRECTIONAL DRILLING CALCULATION OPERATING STRESSES oop +re## d'e o nernal Pre##'re

σh

182.5" )Pa

σb

1!1.45 )Pa

σh

<125."4 )Pa

σh  P D & 2

ending +re## σb   D & 2

3hermal @pan#ion σh   α $31<32%

@ernal Pre##'re

Pe

52108.4! Pa

0.0521 )Pa

A((o4#5(e Oper#t!" Stress 3oal circ'mferenial #re##

σC

180.87 )Pa

σ>

5".77 )Pa

σC  σh < σhe@

Ge >ogi'dinal +re## σ>  σb B σh B σC  ν

C3/ :

σ> H 0." + 

!7!.50 )Pa

#1

121.10 )Pa

#2

15".61 )Pa

#

15".61 )Pa

+ H 0." + 

!7!.50 )Pa

He!ce :

O2

He!ce :

O2

Combined #re## $1% +1  ? σC < σ> ? 2 C

2 >

1&2

$2% +2  $ σ  B σ  < σCσ> % Combined #re##I +  )a@ $+1I +2%

C3/ :

7.56

f ( 60%

m

m

m

i#m

p#i