HYDRAULIC CALCULATIONS Well Name: Location:
Rig:
Well M.T.D. ft Well T.V.D. ft Hole (Bit) Size in Surface Equipment Type Pump Liner Size in Pump Speed strokes/min Size of Pump Rod in Pump Stroke Length in Working Pumps Number Max Operating Press psi
6700 6000 7 7/8 1 5 110 0 12 1 pump 3000
Total Nozzle Area TFA in2 Surface Press. Losses psi Stand Pipe Pressure psi Minimum Mud Pump HP Buoyancy Factor Available WOB klbs
0.3313 96 1829 359 0.847 43.67
Engineer: V. Karatzas
Date:
Last Csg TD Set ft Csg ID in Drill Pipe O.D. in Drill Pipe I.D. in H.Wt. D.Pipe Length ft H.Wt. Drill Pipe O.D. in H.Wt. Drill Pipe I.D. in H.Wt. D.P. Mass Lbs/ft Drill Collars Length ft Drill Collar O.D. in Drill Collar I.D. in
3500 8 1/8 4 1/2 3 5/6 780 4 1/2 2 7/9 42 270 6 1/4 2 1/4
409 25 10.00 50 30 16 3 Desilter / Desander Input Suction Rate bbl/min 8.00 Underflow Density ppg 15.00 Underflow Rate gpm 12.00
Mud Tanks Volume BBLs ROP ft/hr Mud Density ppg Fan RPM 600 Fan RPM 300 Fan RPM 100 Fan RPM 3
BUOYANCY, WOB & BIT HYDRAULICS Bit Hydraulic HP Bit HHP per in2 or HSI Bit Pressure Drop psi Bit Pressure Drop Fr. % Jet Impact force, lbf Nozzle Velocity ft/sec
185 3.80 943 51.6 566 325
Lag Time Calculation Input S. Gravity of Cuttings 2.6 Thickness of Cuttings in 2/16 Width of Cuttings in 2/16 Jet / Nozzle Size Input in 32s
12 12
Nozzle 1, 2 Nozzle 3, 4 Nozzle 5, 6 Nozzle 7, 8 Nozzle 9,10 Nozzle 11,12
Written by Vass Karatzas WHITE TOWER CONSULTING Ltd. Comments:
[email protected]
JET SELECTION Nozzle Sz 0.2314 10/10/10 0.2693 11/11/10 0.2503 10/11/10
Recommended TFA to maximize HHP in2 Recommended TFA to maximize Impact Force in2 Optimum TFA for Maximum HHP & Impact Force in2
VOLUMES, PRESSURES & HOLE CLEANING
gallons Volume BBLs Time (min) Pump Output bbl/stroke or g/stroke Strokes 0.073 3.06 Pump Output bbl/min or gpm 336.60 Mud to reach the bit 8.01 3674 88.06 10.9 1201 Average Annular Mud Velocity ft/min Bottoms up (Annular Volume) 11700 193 278.57 34.8 3824 Average Velocity of Cuttings ft/min From Suction to Surface (Hole Volume) 15375 142 366.06 45.7 5024 Est. Mud to displace String for POOH bbl Total Circulation (total mud system) 32553 54 775.06 97 10638 Minimum Trip Margin to POOH kPa Bottom Sample Up 69 47 5194 Effective Circulating Mud Density (Mud Wt. + Ann. Press Losses) ppg Total Hole Volume (no Pipe in) bbl 10.22 Maximum ROP for a 4% by volume Cutting Concentration ft/hr Mud Pressure Gradient psi/ft 235 The present Cutting Concentration in the Annulus is (by volume) % Hydrostatic Pressure (pump off) at TVD psi 0.43 at this ROP the Effective Mud Density in the Annulus (without the pressure losses) becomes ppg Eff.H.Press (drilling) psi 10.05 and the Effective Circulating Mud Density with the above Cuttings Concentration becomes ppg Increase in BHP by psi 10.27 Overflow Mud Density ppg Overflow Rate bbl/min
9.815 7.714
SOLIDS REMOVAL, DESILTER or DESANDER 7.328 6678
Solids Volume Removed bbl/hr Solids Mass Removed Lbs/hr
Mud Removed bbl/hr Underflow Rate bbl/hr
9.815 17.143
P.V. Cps Y.P.Lb/100ft2
CAPACITIES, VELOCITIES, RHEOLOGIES and PRESSURE LOSSES Per SECTION np na Kp Ka
0.7365 0.4776 1.5513 Poise 4.1581 Poise
Hole Size in Pipe O.D. in Pipe I.D. in Length ft
D.C. Section
H. Wt. Section
D.P. O.H. Section
D.P. Casing Section
7 7/8 6 1/4 2 1/4 270
7 7/8 4 1/2 2 7/9 780
7 7/8 4 1/2 3 5/6 2150
8 1/8 4 1/2 3 5/6 3500
In Pipe Capacities in gal/ft 0.20655 Capacities in bbl/ft 0.00492 Section Capacity in gal 55.8 Section Capacity in bbl 1.33 Mud Velocity ft/min 1630 Mud Velocity ft/sec 27.16 Critical Velocity ft/min Critical Velocity ft/sec Critical Flow Rate gpm Slip Velocity ft/min Velocity of Cuttings ft/min Transport Efficiency % Lag (Transport) Time min Effective Viscosity m cps 25.75 Reynolds Number 22020 flow type Turbulent Friction Factor 0.0052 Pressure Drop psi 177
Annular
12
In Pipe
0.936499 0.31306 0.022298 0.00745 252.9 244.2 6.02 5.81 359 1075 5.99 17.92 248 4.13 232 77.79 282 78 1.0 18.20 30.35 4965 15176
Annular
In Pipe
Annular
1.70406 0.04057 1329.2 31.65 198 3.29 197 3.28 336 77.79 120 61 6.5 36.44 2830
0.59725 0.01422 1284.1 30.57 564 9.39
39.18 8512
1.70406 0.04057 3663.7 87.23 198 3.29 197 3.28 336 77.79 120 61 18.0 36.44 2830
In Pipe
Annular
0.59725 1.844104 0.01422 0.043907 2090.4 6454.4 49.77 153.68 564 183 9.39 3.04
39.18 8512
21.87 161 88 21.8 39.22 2584
Turbulent
Turbulent
Transitional
Turbulent
Transitional
Turbulent
Laminar
0.00582 13
0.0057 200
0.00849 8
0.0067 128
0.00849 23
0.0067 208
0.00929 32
420 0.520 3120 3204 84 20 10
