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Proppant
Proppant Permeability (Kf) 150000 md
2.65
0.35
Total Propped Height (ht) 24 t
!ffe"ti#e Propped Height (h$p) 30 t
Proppant %a&& (lbm) '0000 lbm
Reservoir
ell bore radi& (r*) 0.25 t+rainage area (,) 640 ,"re&
1
+imen&ion (-e) 2640 t
+imen&ion (e) 2640 t
Pay Height (hp) 24 t
/e&er#oir Permeability (K) 1 md
Pre&&re (Pi) '0000 p&ia
0.15
ompre&&ibility (t) 2.00!05 p&i 1
2 "p
Proppant pe"ifi" ra"ity (γp)
Pa"ed Poro&ity fra"tion (Φp)
,&pe"t /atio (λ)
Poro&ity fra"tion (Φ)
i&"o&ity (μ)
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Calculated Results
proptotal 744 t3
prop 830 t3
re& 6.680'!90' t3
:prop 0.42 22
res
prop f prop fd x
V K N C I
V K = ∗ = ∗
2
2 2 2 f f f
x
e r
X X X I
X V r h
π
= = =
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Nprop: 0.42
Actual Optimum
Cfd: 1.6 1.'48112Ix: 0.51234' 0.4765''
Jd: 0.6'5666 0.6'7123
Thi& program "al"late& the dimen&ionle&& prod"ti#ity inde; (=d) a& a fn"tion of
the proppant nmber (:prop) and another #ariable<
that "an be either the dimen&ionle&& fra"tre "ond"ti#ity (fd) or the penetration ratio (>;)
Ho* to rn it?
1. !nter the proppant nmber (:prop)
3.a. >f yo &ele"ted f+ a& gi#en< then the "ell for >; &hold be emptied.
3.b. >f yo &ele"ted >; a& gi#en< then the "ell for fd &hold be emptied.
4. li" the /n btton
The inpt *ill appear in ble.
The otpt *ill appear in red.
The program &e& the "orrelation& de#eloped by +iego /omero and Peter alo
The ra* data for de#eloping the "orrelation& *ere obtained from the dire"t bondary element method
or more detail& &ee paper& P! 50421 and 7375'
The program re@ire& a& inpt at lea&t t*o of the abo#e inpt #ariable& (:prop< fd< >;). >t *ill "al"alte the one
that i& mi&&ing. Ae &re yo lea#e empty the "ell for #ariable that yo *ant the program to "al"late
other*i&e< the program *on$t "al"late it and yo *ill get a *rong an&*er.
>f the gi#en or "al"lated penetration ratio i& ot of range (greater than 1 or le&& than 0.0001)
no re< *ill be "al"lated.
=d di
>; pe
:prop pr
r re
h pa
, dr
r e@
;e e@
fo
f pr
f pr
-f pr
2. !nter either the fd or the >;
;f
;e
r
J =
N
I x =
I x =
prop N =
fd C =
f
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or a gi#en
'
f f p
fd
f p
W K hC
X K h= ∗ ∗
Pr D J Dimensionless oductivit R!tio=
_
' 2
1 2 1 4ln
2wf
D " w
kh " p p
J q e C r γ
π
µ
= − =
1ln e
x
D f
x f
J x
β
= +
.53933781 30.8828e x "C β = =
)ln( fD
f C
π
ζ ∞= +
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2
res
prop fd x N C I V K
= ∗ = ∗
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proppant #olme and "ond"ti#ity< there e;i&t an optimm fra"tre "ond"ti#ity and penetration that *ill ma;imiB
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prod"ti#ity
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