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EXAMPLE 4: SIZE A 3-PHASE HORIZONTAL SEPARATOR Gas Flowrate (MMSCFD) Oil Flowrate (BOPD) Water Flowrate (BWPD) Total Liquid (BPD) ATM Press. Op Press (psig) Op Temp (F) Gas Compressibility Z Retention Time (min) t Remove drops >__micron from gas Remove H2O drops >__micron from oil Remove oil drops >__micron from H2O Vessel Liquid Level - beta 1. Calculate design specification information rg = (P+Pa)(MW) 10.73*(T+460)*(z) rl = 62.4(sp. gr.) rw = 62.4(sp. Gr H2O.) Dp= 0.00003937(micron)/12 Dw= 0.00003937(micron)/12 Do = 0.00003937(micron)/12 m=MMSCFD(1e6)(MW) 379.4(24)(3600) Qa=m/rg Ql Qw Qm=Qa+Ql+Qw pm=(rl*Ql+rg*Qg+rw*Qw)/Qm Fractional area of liquids - alpha
0.01 60 100 160.00 14.7 50.00 120 0.89 3.00 150 500 200 50%
0.27
lb/cu ft
49.92 62.40 0.000492 0.001640 0.000656 0.01
lb/cu ft lb/cu ft ft ft ft lb/sec
0.03 0.0039 0.0065 0.04 15.97 0.50
2. Calculate C D and min diameter Trial No. Assume CD
23 0.8 1
acfs cu ft/sec cu ft/sec cu ft/sec lb/cu ft
1 2.01
Vt = (4gDp(rl-rg)/3CDrg)^0.5 Re = 1488(DpVtrg)/m
Gas MW Oil S.G. Water S.G.
2 2.02
3 2.02
1.39
1.39
1.39
22.86
22.82
22.81
2.02
2.02
2.02
Calculated CD Minimum dia.= 12*(TZQg/2.4Vt(P+Pa))^0.5 3. Determine the fractional height of water in the vessel Fractional area of water aw=atQw/t(Qw+Ql) 0.313 Fractional height of water bw 0.350 Fractional area of water aw 0.312
4. Calculate max vessel diameter for water settling Vtw = 1488gDw2(pw-pl)/18ml 0.08 Max Height of Oil Pad, Ho 165.04 Maximum diameter = Ho/(b-bw) 1100
1.9 in
6
change until above matches below
ft/sec in max in max
5. Calculate max vessel diameter for oil settling Vtw = 1488gDw2(pw-pl)/18mw Max Height of water, Hw Maximum diameter = Hw/bw Maximum Vessel Diameter
0.0207 44.77 128
ft/sec in max in max
128
126
6. Calculate vessel gas and liquid capacity requirements dvLeff (for gas capacity) 0.30 dv^2*Leff (for liquid capacity) 686 7. Determine appropriate diameter and S-S length Diameter (in) Leff (gas) Lss (gas) Leff (liquid) Lss (liquid) Lss (ft) L/D
24 0.01 2.01 1.19 1.59 3 1.25
30 0.01 2.51 0.76 1.02 3 1.20
36 0.01 3.01 0.53 0.71 4 1.17
Gas Viscosity m Oil Viscosity ml H2O Viscosity mw
4 2.02
in
matches below
0.012 1.17 0.69
cp cp cp
5 2.02
6 2.02
1.39
1.39
1.39
22.81
22.80
22.80
2.02
2.02
2.02
in
42 0.01 3.51 0.39 0.52 4 1.14
48 0.01 4.01 0.30 0.40 5 1.13
54 0.01 4.51 0.24 0.31 5 1.11