Hydraulic Calculations Mudpump Xls 4v6pi

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

0.3313 96 1829 359 0.847 43.67

Available WOB klbs

HYDRAULIC CALCULATIONS

3500 409 Lag Time Calculation Input S. Gravity of Cuttings ROP ft/hr 6 5/8 25 2.6 Mud Density ppg Thickness of Cuttings in 4 1/2 10.00 2/16 Fan RPM 600 Width of Cuttings in 3 5/6 50 2/16 Fan RPM 300 Jet / Nozzle Size Input in 32s 780 30 Fan RPM 100 Nozzle 1, 2 4 1/2 16 12 12 Fan RPM 3 Nozzle 3, 4 2 7/9 3 12 Desilter / Desander Input Nozzle 5, 6 42 8.00 Suction Rate bbl/min Nozzle 7, 8 270 15.00 Underflow Density ppg Nozzle 9,10 6 1/4 12.00 Underflow Rate gpm Nozzle 11,12 2 1/4 Mud Tanks Volume BBLs

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

VOLUMES, PRESSURES & HOLE CLEANING gallons Volume BBLs

3674 11700 15375 32553

JET SELECTION Nozzle Sz 0.2314 10/10/10 0.2693 11/11/10 0.2503 10/11/10

88.06 278.57 366.06 775.06

and the Effective Circulating Mud Density with the above Cuttings Concentration becomes ppg

10.05 10.27

SOLIDS REMOVAL, DESILTER or DESANDER Solids Volume Removed bbl/hr Solids Mass Removed Lbs/hr

7.328 6678

Time (min)

Strokes

10.9 34.8 45.7 97 47

1201 3824 5024 10638 5194

Bottom Sample Up Total Hole Volume (no Pipe in) bbl Mud Pressure Gradient psi/ft Hydrostatic Pressure (pump off) at TVD psi

at this ROP the Effective Mud Density in the Annulus (without the pressure losses) becomes ppg

9.815 7.714

Written by Vass Karatzas WHITE TOWER CONSULTING Ltd. Comments: [email protected]

Recommended TFA to maximize HHP in2 Recommended TFA to maximize Impact Force in2 Optimum TFA for Maximum HHP & Impact Force in2

Pump Output bbl/stroke or g/stroke 0.073 3.06 Mud to reach the bit Pump Output bbl/min or gpm 336.60 8.01 Average Annular Mud Velocity ft/min Bottoms up (Annular Volume) 193 Average Velocity of Cuttings ft/min From Suction to Surface (Hole Volume) 142 Est. Mud to displace String for POOH bbl Total Circulation (total mud system) 54 Minimum Trip Margin to POOH kPa 69 Effective Circulating Mud Density (Mud Wt. + Ann. Press Losses) ppg 10.22 Maximum ROP for a 4% by volume Cutting Concentration ft/hr 235 The present Cutting Concentration in the Annulus is (by volume) % 0.43

Overflow Mud Density ppg Overflow Rate bbl/min

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

Mud Removed bbl/hr Underflow Rate bbl/hr

Eff.H.Press (drilling) psi Increase in BHP by psi

9.815 17.143

P.V. s Y.P.Lb/100ft2

CAPACITIES, VELOCITIES, RHEOLOGIES and PRESSURE LOSSES Per SECTION np na Kp Ka

0.7365 0.4776 1.5513 4.1581

Poise 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

6 5/8 4 1/2 3 5/6 3500

In Pipe

Capacities in gal/ft 0.20655 Capacities in bbl/ft 0.004918 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 s 25.75 Reynolds Number 22020 flow type Turbulent Friction Factor 0.0052 Pressure Drop psi 177

Annular

In Pipe

Annular

In Pipe

Annular

In Pipe

Annular

0.936499 0.31306 1.704058 0.59725 1.704058 0.59725 1.844104 0.022298 0.007454 0.040573 0.01422 0.040573 0.01422 0.043907 252.9 244.2 1329.2 1284.1 3663.7 2090.4 6454.4 6.02 5.81 31.65 30.57 87.23 49.77 153.68 359 1075 198 564 198 564 183 5.99 17.92 3.29 9.39 3.29 9.39 3.04 248 197 197 4.13 3.28 3.28 232 336 336 77.79 77.79 77.79 21.87 282 120 120 161 78 61 61 88 1.0 6.5 18.0 21.8 18.20 30.35 36.44 39.18 36.44 39.18 39.22 4965 15176 2830 8512 2830 8512 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