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5/25/2018 Formulas 1
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PRESSURE
Hydrostatic Pressure:Ph= 0.0519x Wx H Ph : Hyd. Press (psi)
W : Fluid Density
H : Vertical heiht (depth : !eet)
0.0519 : ra"ity "alue !#r $%perial &nits. ( in !eet)0.9' : !#r %etric syste%s ( %eter)
Pressure Gradient, psi/ft, using Mud Weight, (ppg )
Pg=0.0519x Mud Weight(pp) = . Psi!t
Pressure Gradient, psi/ft, using Mud Weight, (l/ft) Pg=0.00*9++x Mud Weight(l,!eet) = . Psi!t
Specific Gra!ity (SG)Specific Gra!ity using Mud Weight, (ppg)"
SG= -ud Weiht (pp) '.
Specific Gra!ity using Pressure Gradient, (psi/ft) "
SG # Press. /rad. (psi!t) 0.+Specific Gra!ity using Mud Weight, (l/ft) "
SG # -ud Weiht (l,!t) *.+
E$ui!alent %irculating &ensity (E%&), ppg E%&(pp) = 2nnular Pressure 3#ss4 psi 0.05196VD4!t '-ud Weiht $n &se4pp
Maiu *llo+ale Mud Weight fro ea- .ff0est &ata "
Mud Weight ppg= (3764psi) 0.0519(8asin h#e 6VD4!t) (-ud Weiht4pp)
PUMP0riple Pup "
1ls/str- # 0.000+x 3inear Dia%eter4inc; x tr#'5+ S? x 0.00+1x SPM
& : 3inear Dia%eter (inch)
S : tr#
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%.=0R. &RNO
-D (!thr) = *> x (9.> K 9.0) x 50
(1>N);
= '1.1* !thr
1U.C*=%C 6*%0.R@&sin -ud Weiht4 ppg:
16= *5.5K -ud Weiht (pp )*5.5
@&sin -ud Weiht, l/ft: 16= +'9 K -ud Weiht (l,!t)
+'9
HC&R.S0*0
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&EP0H .6 * W*SH .U0ME0H.& 7 8Pu%p s#!t liner #r #ther pluin %aterial d#Ln the drill pipe
2nd n#tice h#L %any str#
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ME0H.& 7 :
6ree pipe4 ft= >549+ x e x WdpDi!!erential Pull4 l,
Where " e= Pipe tretch4 inc
Wdp= Drill Pipe Weiht4 l,!tplain end
Plain end Leiht4 l,!t4 is the Leiht #! Drill Pipe excludin 6##l J#ints :Weight4 l/ft= .*> x Pipe 7D4inc;C Pipe $D4inc;
xa%ple : Deter%ine the !eet #! !ree pipe usin the !#ll#Lin data : 5.0inc drill pipeT $D K +.>*incT 19.5l,!t
Di!!erential stretch #! pipe = +inc
Di!!erential pull t# #,tain stretch = 04000l,
Weiht4 l,!t = .*> x (5.0; C +.>*;)
= 1>.9 l,!t
Free pipe4 !t = >549+ x + x 1>.9
04000
= 1045+>!t
PRESSURE REIU
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JdA EKP.=E=06he dO xp#nent is derri"ed !r#% eneral drillin eQuati#n :RL = # a >Wd &B
Where R= penetrati#n rate
= = r#tary speed4 rp%
a = a c#nstant4 di%ensi#nless W= Leiht #n ,it4 l, d = exp#nent in eneral drillin eQuati#n4 di%ensi#nless (pan00) R l# (+0 R '500)
= l# 0.00+ R l# 0.0+9+
= C.>> R C 1.0*
= 1.'
8#rrected dO exp#nent:
6he dO exp#nent is in!luenced ,y %ud Leiht "ariati#n4 s# %#di!icati#ns ha"e t# ,e %ade t# c#rrect !#r chanes in %ud
Leiht: &c # d (MW8 MW:)
Where:
&c= c#rrected dO exp#nent MW8= n#r%al %ud LeihtC9.0 pp MW:= actual %ud Leiht4pp
Example:
d = 1.*+
-W1 = 9.0pp
-W = 1.>pp
#luti#n:
Dc = 1.*+(9.0R 1.>) = 1.*+x 0.>1
= 1.1*
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&E0ERM