rig equations

Kick ToleranceMaximum formation balance gradient that may be encountered when a kick is taken at the present depth,with the present mud weight, and the well shut in, without downhole fracturing occurring.

KT = (LOT EMW - MW) * (LOT TVD / TD TVD) + MW

KT = Kick tolerance, ppgLOT EMW = Leak Off Test Equivalent Mud Weight, ppg

MW = Mud weight, ppgLOT TVD = Leak Off Test True Vertical Depth, ft TVDTD TVD = Point Of Interest True Vertical Depth, ft TVD

Kick Tolerance 20.27

Kick ToleranceMaximum formation balance gradient that may be encountered when a kick is taken at the present depth,with the present mud weight, and the well shut in, without downhole fracturing occurring.

20.5 ppg18.2 ppg

11422 ft TVD12670 ft TVD

ppg

Hole Volumes

Hole Volume Total Depth 14880Cumm. ID Section

Type Depth Length inches LengthRiser 0 0

Casing 1 0 010.5 Casing 2 13845 13845 9.406 138459.25 Open Hole 14880 14880 9.25 1035

Total 14880String volume

Cumm. OD IDType Length Depth inches inches

5½" DP DP 1 1344.7 1344.7 7.75 6.565½"HWDP DP 2 13535.3 14880 5.5 4.678

DP 3 14880DC 1 14880DC 2 14880

Total 14880 ft

String DisplacementOD ID String String

Type Length inches Inches Disp. /ft Displacement5½" DP 1344.7 7.75 6.56 0.01654 22.23

5½"HWDP 13535.3 5.5 4.678 0.00812 109.960 0 0 0 0.00000 0.000 0 0 0 0.00000 0.000 0 0 0 0.00000 0.00

Total 14880 ft Total 132.19

Annular Volume 799.38 bbls

ftHole Hole

Capacity / ft Volume0.00000 0.000.00000 0.000.08591 1189.380.08308 85.99

ft 1275.37 bbls

String StringCapacity / ft Volume

0.04179 56.190.02125 287.610.00000 0.000.00000 0.000.00000 0.00

343.80 bbls

bbls

Pump Output Hydraulics

Liner size 6.00 InchesStroke 14.00 Inches

Efficiency 97 %SPM 100

Flowrate 498.4376 GPM11.867562 BPM

Pump Output 0.1186756 bbl/stkAnnular Volume 799.34 bbls

Pipe Capacity 343.8 bblsLag Strokes 6735.503 stks

Down Strokes 2896.9724 stks

TVD CalculatorA general formula for calculating the increase in vertical depth fromthe last survey point.

TVD = Last TVD + (Course Length x COS Inclination)

Last Survey TVD 9839 ftCourse Length Since Last Survey 96 ft

Inclination at Last Survey 24.5 deg

9916.4153 ft TVD

Last TVD + (Course Length x COS Inclination)

Leak Off Test (LOT) Calculator

LOT EMW = MW ppg + (Gauge Pressure psi/(TVD ft x 0.0519))

Gauge Pressure 3740 psiTVD 7893 ftMW 11.9 ppg

LOT 21.029818 ppg EMW

MW ppg + (Gauge Pressure psi/(TVD ft x 0.0519))

Carbide WashoutCalculation of a new hole diameter from carbide lag strokes.

Extra Strokes 500 stksLength of Open Hole 4053 ft

Original Hole Diameter 17.5 inchesPump Output 4.19 gal/stk

Average Open Hole Diameter 17.85846 inches

Minimum Circulation Model GuideHole cleaing guides for holes of varying inclinations.

Depth 10000 ftLag strokes 5000 strokesPump Rate 200 SPM

Lag Time 25 mins

Using TRUE Drilling Manual:Hole Diameter

Inclination 26 17.5 12.25< 35 deg 2 1.7 1.4< 55 deg 2.5 2.5 1.855 deg + 3 2

Hole Size 8.5 Section AdjustedInclination Factor Depth Length Length< 35 deg 1.4 3500 3500 4900< 55 deg 1.6 6100 2600 416055 deg + 1.7 10000 3900 6630

Total 15690

Minimum Circulating Strokes

Santa Fe's Hole Cleaning Guidelines:

Hole DiameterInclination 17.5 12.25 8.5< 10 deg 1.5 1.3 1.3

10 - 30 deg 1.7 1.4 1.430 - 60 deg 2.5 1.8 1.660 - 90 deg 3 2 1.7

Hole Size 8.5 Section AdjustedInclination Factor Depth Length Length< 10 deg 1.3 1550 1550 2015

10 - 30 deg 1.4 2000 450 630 30 - 60 deg 1.6 3000 1000 1600 60 - 90 deg 1.7 10000 7000 11900

Total 16145

Minimum Circulating Strokes

8.51.41.61.7

7845 strokes56.9 % Excess

39.225 minutes

61.31.41.51.6

8072.5 strokes

61.45 % Excess40.3625 minutes

Bit Hydraulics

Bit Nozzles

Number Size Flow Area9 16 1.7671422

00000

TFA 1.7671422 sq.in

Flow Rate SPPBit Diam. 12.25 Inches 450 1645

Flow Rate 518.5 gpm 550 2500MW 18 ppg 600 2950TFA 1.7671422 in2 650 3460

Maximum SPP 2350 psi 700 4000

Bit Pressure Loss 142.71749 psiHHP at Bit 43.173289 HPHSI at Bit 0.3663128 HSI

Flow Rate 450 550 600 650Bit Pressure Loss107.49907 160.58503 191.10945 224.28818

HHP at Bit 28.223209 51.529618 66.899459 85.056777HSI at Bit 0.2394657 0.4372138 0.5676224 0.721682

% Pressure Loss at Bit6.5348978 6.4234011 6.4782866 6.4823173SPP 1645 2500 2950 3460

Parasitic Losses 1537.5009 2339.415 2758.8905 3235.7118

700260.1212

106.233860.9013634

6.503034000

3739.8788

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4500

1

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1000Bit Hydraulics

SPP

Parasitic Losses

Bit Pressure Loss

HHP at Bit

HSI at Bit

% Pressure Loss at Bit

Flow Rate

SP

Pps

i

450 550 600 650 7000

500

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SPP

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HSI at Bit

% Pressure Loss at Bit

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SP

Pps

i

Critical Velocity:Mud Weight 10.5 ppg

Plastic Viscosity 26 cpYield Point 18 lbs/100ft2

Hole Diameter 8.5 InchesPipe OD 5 Inches

Critical 60 x [ 1.08 x PV + 1.08 PV 2 + 9.26(Dh-dp)2 x YP x Mud Wt

Velocity Mud Wt x (Dh-dp)

Critical Velocity 308.063348 ft/min

Cuttins Slip Velocity :

Slip 0.45 x PV 36800 Den PVelocity (MW)(Dp) PV 2 X (Dp) MW

(MW)(Dp)

MW 10.5 ppg

PV 26 cpCuttings Diameter 0.2 inches Slip Velocity 39.784601

Cuttings Density 22 ppg Annular Velocity 300.74074Flow Rate 580 gpm Cuttings Net

Hole Diameter 8.5 inches Rise Velocity 260.95614Drillpipe OD 5 inches

Bingham Plastic ModelInside Pipe :

Critical = 97 PV + 97 PV^2 + 8.2 x MW x D^2 x YPVelocity Mud Wt x D

MW 10.5 ppgPV 12 cP

] YP 12 lbs/100ft2 Critical Velocity

Drillpipe ID 4.276 Inches

Turbulent = 0.0000891 x MW^0.8 x GPM^1.8 x PV^0.2 x LengthFlow D^4.8

MW 10.5 ppg

PV 26 cP -1 + 1 -1 GPM 580 gallons Turbulent Flow

Length 2449 feetDrillpipe ID 4.276 Inches

Laminar = Length x [ YP +

Flow 300 x Dft/minft/min Velocity 777.17475 ft/min

PV 26 cPft/min YP 18 lbs/100ft2 Laminar Flow

Length 2449 feetDrillpipe ID 4.276 Inches

In Annulus :Critical = 97 PV + 97 PV^2 + 6.2 x MW x (Dh-Dp)^2 xYPVelocity Mud Wt x (Dh-Dp)

MW 10.5 ppgPV 26 cPYP 18 lbs/100ft2

Hole Diameter 8.5 inches Critical Velocity Drillpipe OD 5 inches

Turbulent = 0.0000891 x MW^0.8 x GPM^1.8 x PV^0.2 x LengthFlow (Dh-Dp)^3 x (Dh+Dp)^1.8

MW 10.5 ppgPV 26 cp

Flow In 580 gpmLength 2449 feet Turbulent Flow

Hole Diameter 8.5 inchesDrillpipe OD 5 inches

Laminar = Length x PV x Vel +Flow 60000 x (Dh-Dp)^2

Velocity 300.74074 ft/minPV 26 cPYP 18 lbs/100ft2

Length 2449 feet Laminar Flow Hole Diameter 8.5 inches

Drillpipe OD 5 inches

Bingham Plastic Model Power Law Model

Fann 600 36 Fann 300 2497 PV + 97 PV^2 + 8.2 x MW x D^2 x YP

Consistency Index n = 3.32 Log (

n = 0.584623

323.99908 ft/min

Flow Behaviour Index K = Fann 300511^n

0.0000891 x MW^0.8 x GPM^1.8 x PV^0.2 x LengthD^4.8 K = 0.6263342

Critical = 5.82(10^4)K 1/(2-n) Velocity MW

242.10404 psiMW 10.5 ppg

Drillpipe ID 4.276 Inches Critical Velocity

PV x Vel ] Inside Pipe :

5 x D Turbulent Flow Use same equation as Bingham Plastic

Laminar = 1.6 x V 3n+1Flow D 4n

1838.6864 psiLength 2449 feet

Drillpipe ID 4.276 inches Laminar Flow Velocity 777.17475 ft/min

97 PV + 97 PV^2 + 6.2 x MW x (Dh-Dp)^2 xYP In Annulus :

Critical = 3.878(10^4) 1/(2-n) Velocity MW

MW 10.5 ppg392.22087 ft/min Hole Diameter 8.5 inches Critical Velocity

Drillpipe OD 5 inches

0.0000891 x MW^0.8 x GPM^1.8 x PV^0.2 x Length Turbulent Flow Use same equation as Bingham Plastic(Dh-Dp)^3 x (Dh+Dp)^1.8

Laminar = 2.4 x V 2n+1

Flow Dh-Dp 3n

Length 2449 feet653701.73 psi MW 10.5 ppg

Hole Diameter 8.5 inches Laminar Flow Drillpipe OD 5 inches

Velocity 300.74074 ft/minLength x YP

200 x (Dh-Dp)

89.027845 psi

Power Law Model

Fann 600 )Fann 300

1.6 3n+1 n/(2-n)D 4n


Use same equation as Bingham Plastic

n K L300 x D

Laminar Flow 36.259873 psi

2.4 2n+1 n/(2-n)Dh-Dp 3n


Use same equation as Bingham Plastic

n K L

300 x (Dh-Dp)

Laminar Flow 37.289524 psi

Mud Hydrostatic Pressure

This is the pressure exerted by a column of fluid at a given depth.

Hp psi = 0.0519 x MW ppg x TVD ft

MW 18 ppgTVD 11423 ft

Hp 10671.367 psi

Slug Gain CalculationCalculates the expected pit gain after pumping a weighted slug.The gain may not occur immediately but will take place slowly as the slug falls.

Expected Gain = ((Slug MW ppg / MW ppg) - 1) x Slug Amount bbls

Slug MW 13.6 ppgMW 9.6 ppg

Slug Amount 30 bbls

Expected Gain 12.5 bbls

The gain may not occur immediately but will take place slowly as the slug falls.

((Slug MW ppg / MW ppg) - 1) x Slug Amount bbls

Kick Control

SIDP 100 psi Formation Pressure 11738.388 psiMW 16.8 ppg

TD TVD 13348 ft Kill Mud Density 16.94435 ppgSCR 500 psi

Length of Influx 150 ft Initial Circulating Pressure 600 psiSICP 200 psi

LOT EMW 19.5 ppg Final Circulating Pressure 504.29613 psiShoe TVD 13024 ft

Influx Density 3.9547848 ppg

MAASP 1825.0531 psi

Hydrostatic Pressure 11638.388 psi

rig equations

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