I.

II.
 

III.
 

IV.
 

V.

VI.

VII.

VIII.

COMMON FORMULAS

CAPACITY AND DISPLACEMENT OF CASING

CAPACITY AND DISPLACEMENT OF “DRILL PIPE”

CAPACITY AND DISPLACEMENT OF “DRILL COLLARS”

DUPLEX PUMP OUTPUT

TRIPLEX PUMP OUTPUT

ANNULAR VELOCITY MULTIPLIERS

CONVERSION FACTORS

IX.

X
 

XI.

XII.
 

XIII.

XIV.

XV.

MUD DENSITY ADJUSTMENT TABLE

PILOT TESTING – GUIDELINES FOR MEASURING PRODUCTS

ALKALINITY INTERPRETATION

TABLE OF TREATMENT CHEMICAL FACTORS

CALCIUM CHLORIDE BRINE DATA

HYDRAULIC CALCULATIONS

VOLUME CALCULATIONS


 

I. COMMON FORMULAS

 

* HYDROSTATIC PRESSURE (kPa) = MUD DENSITY (Kg/m3) x DEPTH x 0.00981

* FORMATION PRESSURE (kPa) = SIDPP (kPa) + HYDROSTATIC PRESSURE (kPa)

* kg OF BARITE REQUIRED TO RAISE DENSITY 1 TO DENSITY 2


* CUBIC METERS OF WATER REQUIRED TO REDUCE DENSITY 1 TO DENSITY 2


* VOLUME INCREASE DUE TO WEIGHTING MATERIAL

M = mass of weighting material added, (kg)

DM = weighting material density (kg/m3)


* WEIGHTING MATERIALS DENSITIES

Barite

CaCO3

Iron Oxide

4200 kg/m3

2750 kg/m3

5100 kg/m3



* HIGH SHEAR RANGE "n" and "K" VALUES



* LOW SHEAR RANGE "n" and "K" VALUES


 

II. CAPACITY AND DISPLACEMENT OF CASING

 

O.D.

(mm)

MASS

(Kg/m)

I.D.

(mm)

CAPACITY

(m3/metre)

DISPLACEMENT

(m3/metre)

114,3

(4.5”)

14,14

15,62

17,26

20,09

103,89

102,92

101,6

99,57

0,0085

0,0083

0,0081

0,0078

0,0018

0,0019

0,0022

0,0025

127

(5.0”)

17,11

19,34

22,32

26,78

115,82

114,15

111,96

108,61

0,0105

0,0102

0,0098

0,0093

0,0021

0,0024

0,0028

0,0034

139,7

(5.5”)

20,83

23,06

25,3

29,76

34,22

127,31

125,73

124,26

121,36

118,62

0,0129

0,0124

0,0121

0,0116

0,0111

0,0026

0,0029

0,0032

0,0038

0,0043

168,3

(6.625”)

29,76

35,71

41,66

47,62

153,65

150,39

147,09

144,15

0,0185

0,0178

0,017

0,0163

0,0037

0,0045

0,0053

0,0059

177,8

(7.0”)

25,3

29,76

34,22

38,69

43,15

47,62

52,08

56,54

166,07

163,98

161,7

159,41

157,07

154,79

152,5

150,37

0,0217

0,0211

0,0205

0,02

0,0194

0,0188

0,0183

0,0178

0,0032

0,0037

0,0043

0,0049

0,0054

0,006

0,0066

0,0071

193,7

(7.625”)

35,71

39,28

44,19

50,15

58,03

178,44

177,01

174,63

171,83

168,28

0,025

0,0246

0,0239

0,0232

0,0222

0,0045

0,0049

0,0055

0,0063

0,0072

219,1

(8.625”)

35,71

41,66

47,62

53,57

59,52

65,47

72,91

205,66

203,63

201,19

198,76

196,22

193,68

190,78

0,0332

0,0326

0,0318

0,031

0,0302

0,0295

0,0286

0,0045

0,0051

0,0059

0,0068

0,0075

0,0082

0,0091

244,5

(9.625”)

48,06

53,57

59,52

64,73

69,94

79,61

228,63

226,59

224,41

222,38

220,5

216,79

0,0411

0,0403

0,0396

0,0388

0,0382

0,0369

0,0059

0,0066

0,0074

0,0081

0,0088

0,01

273

(10.75”)

48,73

60,26

67,7

75,89

82,58

258,88

255,27

252,73

250,19

247,9

0,0526

0,0512

0,0502

0,0492

0,0483

0,0059

0,0074

0,0084

0,0092

0,0103

298,4

(11.75”)

62,5

69,94

80,35

89,28

281,53

279,4

276,35

273,61

0,0623

0,0613

0,06

0,0588

0,0077

0,0086

0,0099

0,0111

339,7

(13.375”)

71,42

81,1

90,77

101,18

107,14

322,96

320,42

317,88

315,34

313,61

0,0819

0,0802

0,0794

0,0781

0,0772

0,0087

0,01

0,0113

0,0125

0,0134

406,4

(16”)

96,72

111,6

124,99

387,35

384,18

381,25

0,1178

0,1159

0,1142

0,0119

0,0138

0,0156

508

(20”)

140,19

158,83

198,35

485,75

482,6

475,74

0,1854

0,183

0,1778

0,0178

0,0202

0,0253

762

(30”)

234,64

349,41

462,29

736,6

723,9

711,2

0,4263

0,4117

0,3972

0,0299

0,0445

0,0589

 

III. CAPACITY AND DISPLACEMENT OF “DRILL PIPE”

 

O.D.

(mm)

MASS

(Kg/m)

I.D.

(mm)

CAPACITY

(m3/metre)

DISPLACEMENT

(m3/metre)

60,3

(2 3/8”)

7,2

9,9

50,7

46,1

0,002

0,0017

0,00092

0,00126

73

(2 7/8”)

9,6

10,2

12,4

15,5

62,7

62

59

54,6

0,0031

0,003

0,0027

0,0023

0,00122

0,0013

0,00159

0,00197

88,9

(3 ½”)

12,7

14,1

16,7

19,8

23,1

77,8

76

73,7

70,2

66,1

0,0048

0,0045

0,0043

0,0039

0,0034

0,00161

0,0018

0,00213

0,00252

0,00294

101,6

(4”)

17,6

20,8

23,4

88,3

84,8

82,3

0,0061

0,0057

0,0053

0,00225

0,00266

0,00298

114,3

(4 ½”)

19

20,5

24,7

29,8

101,6

100,5

97,2

92,5

0,0081

0,0079

0,0074

0,0067

0,00242

0,00261

0,00315

0,0038

127

(5”)

24,2

29

30,5

112

108,6

107

0,0098

0,0093

0,009

0,00309

0,0037

0,00389

139,7

(5 ½”)

32,6

36,8

121,4

11,6

0,0116

0,0111

0,00416

0,00469

 

IV. CAPACITY AND DISPLACEMENT OF “DRILL COLLARS”

 

O.D.

(mm)

MASS

(Kg/m)

I.D.

(mm)

CAPACITY

(m3/metre)

DISPLACEMENT

(m3/metre)

79,4

(3.125”)

31.8

29.8

0.008

0.0042

88,9

(3.5”)

38.1

40.2

0.0011

0.0051

104,8

(4.125”)

50.8

52.1

0.002

0.0066

120,7

(4.75”)

57.2

78.9

0.0026

0.0101

152,4

(6”)

57,2

71,4

123,5

111,6

0,0026

0,004

0,0157

0,0142

158,8

(6.25”)

57,2

71,4

135,4

123,5

0,0026

0,004

0,0172

0,0158

165,1

(6.5”)

57,2

71,4

147,3

135,4

0,0026

0,004

0,0188

0,0174

171,5

(6.75”)

57.2

160.7

0.0026

0.2050

177,8

(7”)

57,2

71,4

174,1

163,7

0,0026

0,004

0,0223

0,0208

184,2

(7.25”)

71.4

177.1

0.004

0.0226

196,9

(7.75”)

71.4

206.9

0.004

0.0264

203,2

(8”)

71.4

223.2

0.004

0.0284

209,6

(8.25”)

71.4

238.1

0.004

0.0305

228,6

(9”)

71.4

290.2

0.004

0.037

241,3

(9.5”)

76.2

327.4

0.0046

0.0411

247,7

(9.75”)

76.2

345.3

0.0046

0.0436

254

(10”)

76.2

366.1

0.0046

0.0461

279,4

(11”)

76.2

449.4

0.0046

0.0567

 

V. DUPLEX PUMP OUTPUT

 

Litres/Stroke @ 90% Efficiency (2” Rod Diameter)


LINER DIAMETER (mm)


Stroke
Length
(mm)

101

108

114

121

127

133

140

146

152

159

165

170

178

184

190

197

203

209

216

203

5.4

6.19

6.99

7.78

8.73

6.69

10.6

11.5

12.7

13.8

15

16.2

17.4

18.9

 

 

 

 

 

254

6.67

7.62

8.58

6.69

10.8

12

13.3

14.6

15.9

17.3

18.7

20

21.9

23.6

 

 

 

 

 

305

7.78

9.9

10.1

11.4

12.9

14.3

15.9

17.3

19.1

20.7

22.6

24.3

26.2

28.3

30.4

 

 

 

 

356

 

 

 

 

14.6

16.4

18

19.9

21.8

23.8

25.9

28

30.2

32.4

35

37.4

39.9

 

 

381

 

 

 

 

15.6

17.3

19.2

21.1

23.2

25.3

27.5

29.7

32.3

34.7

37.4

39.9

42.8

 

 

406

 

 

 

 

16.7

18.6

20.5

22.6

24.8

27

29.4

32.3

34.5

37

39.7

42.8

45.6

48.6

 

457

 

 

 

 

18.4

20.7

22.7

25.3

27.8

30.2

32.7

35.6

38.5

41.3

44.5

47.7

51.1

54.4

 

508

 

 

 

 

20.3

22.7

25.1

28

30.5

33.4

36.4

39.4

46.2

45.9

49.4

53.1

56.8

60.4

 

559

 

 

 

 

 

 

 

 

 

 

 

 

49.8

53.5

57.3

61.1

65.1

69.2

73.5

610

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

71.1

75.6

80.2


Note: For pump output in m3/stroke, move the decimal point 3 places to the left.


 

VI. TRIPLEX PUMP OUTPUT

 

Litres/Stroke @ 100% Efficiency


LINER DIAMETER (mm)


Stroke
Length
(mm)

102

108

114

121

127

133

140

146

152

159

165

170

178

184

190

197

203

102

2.5

2.8

3.1

3.5

3.9

4.3

 

 

 

 

 

 

 

 

 

 

 

114

2.8

3.1

3.5

3.9

4.3

4.8

5.3

5.7

6.3

 

 

 

 

 

 

 

 

127

3

3.5

3.9

4.4

4.8

5.3

5.8

6.4

6.9

7.5

 

 

 

 

 

 

 

140

3.4

3.8

4.3

4.8

5.3

5.8

6.5

7

7.6

8.3

 

 

 

 

 

 

 

152

3.7

4.2

4.7

5.2

5.8

6.4

7

7.7

8.3

9

9.7

 

 

 

 

 

 

165

4

4.5

5.1

5.7

6.3

6.9

7.6

8.3

9

9.8

10.6

 

 

 

 

 

 

178

4.3

4.9

5.5

6.1

6.8

7.4

8.2

8.9

9.7

10.6

11.4

12.3

13.2

 

 

 

 

190

4.6

5.2

5.9

6.5

7.8

8

8.8

9.6

10.4

11.3

12.2

13.1

14.2

15.2

16.1

 

 

203

4.9

5.6

6.2

6.9

7.7

8.5

9.3

10.2

11.1

12

13

14

15.1

16.2

17.3

18.5

19.7

216

5.2

5.9

6.6

7.4

8.2

9

9.9

10.8

11.8

12.8

13.8

14.9

16.3

17.2

18.5

19.7

21

229

5.6

6.3

7

7.8

8.7

9.6

10.5

11.5

12.5

13.6

14.7

15.8

17

18.3

19.5

20.9

22.2

241

5.9

6.6

7.4

8.3

9.2

10.1

11.1

12.1

13.2

14.3

15.5

16.7

18

19.3

20.6

22

23.3

254

6.2

7

7.8

8.7

9.6

10.6

11.7

12.8

13.9

15.1

16.3

17.6

18.9

20.3

21.7

23.2

24.7

267

6.5

7.3

8.2

9.1

10.1

11.2

12.3

13.4

14.6

15.8

17.2

18.5

19.9

21.3

22.8

24.3

25.9

279

6.8

7.7

8.6

9.6

10.6

11.7

12.8

14

15.3

16.6

17.9

19.3

20.8

22.3

23.9

25.5

27.2

292

7.1

8

9

10

11.1

12.2

13.4

14.7

16

17.3

18.7

20.2

21.8

23.3

25

26.7

28.4

305

7.4

8.4

9.4

10.4

11.6

12.8

13.8

15.3

16.7

18.1

19.6

21.1

22.2

24.3

26

27.8

29.6


Note: For pump output in m3/stroke, move the decimal point 3 places to the left.


 

VII. ANNULAR VELOCITY MULTIPLIERS

 

Bit Size, mm

Pipe O.D.
(mm)

136

143

152

156

159

171

194

200

219

222

229

251

279

311

349

381

445

73

84.7

77.9

71.1

67.5

64.2

52.5

39.7

36.8

29.9

29

27.2

 

 

 

 

 

 

76

87

82

73.4

68.6

65.3

54.3

40

37.2

30.2

29.3

27.4

22.3

 

 

 

 

 

86

120

102

83.9

77.6

73.3

59.7

42.8

39.7

31.8

30.8

28.6

23.1

18.4

14.3

 

 

 

102

157

126

99.6

90.9

85.1

67.3

46.5

42.9

33.8

32.7

30.2

24.2

18.9

14.7

11.4

9.4

6.8

114

 

 

 

 

104

78.4

51.7

47.2

36.4

35.1

32.3

25.5

19.6

15.2

11.7

9.6

6.9

127

 

 

 

 

 

 

 

 

39.9

38.4

35.1

27.2

20.6

15.8

12

9.6

7

140

 

 

 

 

 

 

 

 

 

42.8

38.9

29.3

21.9

16.5

12.5

10.2

7.1

152

 

 

 

 

 

 

 

 

 

48.5

43.4

31.9

23.3

17.3

12.9

10.4

7.3

165

 

 

 

 

 

 

 

 

 

57.7

50.5

35.6

25.2

18.3

13.5

10.8

7.2


To obtain the annular velocity in metres per min. (m/min), multiply the appropriate number from the bit and pipe size combination, by the pump output in cubic metres per min (m3/min).


 

VIII. Conversion Factors

 

UNIT

MULTIPLY BY

TO OBTAIN

ft

0,3048

m

in

25,4

mm

ft

0,3048

m

lb

0,445

daN

lb

0,4536

kg

bbl

0,159

m3

US gal

0,003785

m3

psi

6,853

KPa

lb/gal

119,826

Kg/m3

lb/bbl

2,853

Kg/m3

lb/ft

1,488

Kg/m

psi/ft

22,621

KPa/m

(FΊ-32)/1.8


 

IX. MUD DENSITY ADJUSTMENT TABLE

 

DESIRED DENSITY (kg/m3)

Initial Density
(kg/m3)

1100

1150

1200

1250

1300

1350

1400

1450

1500

1550

1600

1650

1700

1750

1800

1850

1900

1950

2000

1050

17

34

52

71

90

110

131

153

175

198

222

247

273

300

328

357

388

420

453

1100

 

17

35

53

72

92

112

134

156

178

202

226

252

279

306

335

365

397

429

1150

5

 

17

36

54

74

94

114

136

158

182

206

231

257

284

313

342

373

406

1200

10

3.3

 

18

36

55

75

95

117

139

161

185

210

236

262

290

320

350

382

1250

15

6.7

2.5

 

18

37

56

76

97

119

141

165

189

214

241

268

297

327

358

1300

20

10

5

2

 

19

37

57

78

99

121

144

168

193

219

246

274

303

334

1350

15

13

7.5

4

1.7

 

19

38

58

79

101

123

147

171

197

223

251

280

310

1400

30

17

10

6

3.3

1.4

 

19

39

59

81

103

126

150

175

201

228

256

286

1450

35

20

13

8

5

2.9

1.3

 

19

39

61

82

105

129

153

179

205

233

262

1500

40

23

15

10

6.7

4.3

2.5

1.1

 

20

40

62

84

107

131

156

183

210

239

1550

45

27

18

12

8.3

5.7

3.8

2

1

 

20

41

63

86

109

134

160

187

215

1600

50

30

20

14

10

7.1

5

3.3

2

0.9

 

20

42

64

87

112

137

163

191

1650

55

33

23

16

12

8.6

6.3

4.4

3

1.8

0.8

 

21

43

65

89

114

140

167

1700

60

37

25

18

13

10

7.5

5.6

4

2.7

1.7

0.8

 

21

44

67

91

117

143

1750

65

40

28

20

15

11

8.5

6.7

5

3.6

2.5

1.5

0.7

 

22

45

68

93

119

1800

70

43

30

22

17

13

10

7.8

6

4.5

3.3

2.3

1.4

0.7

 

22

46

70

95

1850

75

47

33

24

18

14

11

8.9

7

5.4

4.2

3.1

2.1

1.3

0.6

 

23

47

72

1900

80

50

35

26

20

16

13

10

8

6.4

5.0

3.8

2.9

2

1.3

0.6

 

23

48

1950

85

53

38

28

22

17

14

11

9

7.3

5.8

4.6

3.6

2.7

1.9

1.2

0.6

 

24

2000

90

57

40

30

23

19

15

12

10

8.2

6.7

5.4

4.3

3.3

2.5

1.8

1.1

0.5

 


 

X. PILOT TESTING – GUIDELINES FOR MEASURING PRODUCTS

 

Example:

1 gram is equivalent to 1 kilogram

1 litre is equivalent to 1 m3

Adding 33.5 grams (5 tablespoons) of Bentonite to 1 litre of freshwater would be equivalent to a concentration of 33.5 kg/m3.


PRODUCT

SPECIFIC GRAVITY

Ό Teaspoon
(grams)

½ Teaspoon
(grams)

1 Teaspoon
(grams)

1 Tablespoon
(grams)

Barite

4.2

2.08

4.17

8.33

25

Bentonite

2.30-2.60

0.98

1.95

2.9

6.7

Calcium Carbonate

2.8

1

2.25

4.5

13

Caustic Soda

2.13

1.25

2.5

5

15

CMC

1.6

0.5

1.1

2.3

6.6

Desco CF

1.6

0.75

1.5

3

9.6

Drispac

1.50-1.60

0.6

1.2

2.4

7.6

Gypsum

2.32

1.3

2.3

4.9

12.6

Kelzan XCD

1.5

1

1.9

3.6

10.7

Lignite

1.6

0.85

1.7

3.4

10.2

Lime

2.2

0.6

1.3

2.4

7.7

Potassium Chloride

1.98

1.9

3.1

6.1

19.1

Salt

2.16

1.5

3

6

18

Salt Gel

2.20-2.40

0.7

1.5

3

8.8

Soda Ash

2.51

1.6

3

6

17.8

Sodium Bicarbonate

2.16

0.72

1.45

2.9

8.7

Soltex

1.2-1.5

0.5

1

2

6

Starch

1.45

0.63

1.25

2.5

7.5


 

XI. ALKALINITY INTERPRETATION

 

If:

Hydroxyl

Carbonate

Bicarbonate

P = 0

0

0

M x 1220

P = M

P x 340

0

0

2P = M

0

P x 1200

0

2P < M

0

P x 1200

(M-2P) x 1220

2P > M

(2P - M) x 340

(M-P) x 1200

0


 

XII. TABLE OF TREATMENT CHEMICAL FACTORS

 

kg/m3 treating chemical to remove contaminating ions:

Contaminant

Factor

Chemical

Calcium ( as CaSO4)

0.0027 equals kg/m3

Soda Ash

Magnesium

0.0044 equals kg/m3

Soda Ash

Carbonate

0.0012 equals kg/m3

Lime

Bicarbonate

0.0012 equals kg/m3

Lime

Sulfides

0.0066 equals kg/m3

Zinc Carbonate


 

XIII. CALCIUM CHLORIDE BRINE DATA

 

WEIGHT

(%)

DENSITY

(kg/m)

CaCl

(kg/m)

CaCl

(mg/L)

Ca

(mg/L)

Cl

(mg/L)

Volume

Final

Solution

Freezing

Point

(°C)

Water Activity

1

1007

10

10084

3647

6453

1,003

0

0,994

2

1015

20

20337

7331

12969

-1

1,005

0,989

4

10325

41,3

41363

14915

26385

1,009

-2

0,98

6

1049

62,7

63101

22715

40185

1,016

-4

0,971

8

1066

85,2

85574

30804

54496

1,022

-5

0,96

10

1084

108

108805

39110

69190

1,028

-6

0,948

12

1101

132

132816

47741

84459

1,035

-8

0,932

14

1120

156,5

157630

56625

100175

1,042

-10

0,914

16

1139

181,8

183270

65797

116403

1,05

-12

0,892

18

1158

207,8

209759

75259

133141

1,166

-14

0,867

20

1178

234,8

237120

85045

150455

1,186

-18

0,837

22

1198

262,7

265375

95157

168343

1,207

-23

0,804

24

1218

291,5

294159

105557

186743

1,227

-25

0,767

26

1239

321,2

324659

116319

205781

1,249

-30

0,726

28

1260

352

354734

127405

225395

1,271

-41

0,683

30

1282

383,6

387795

138853

245647

1,293

-44

0,637

32

1304

416,1

420864

150626

266474

1,316

-33

0,59

34

1326

449,7

454964

162796

288004

1,152

-20

0,541

36

1349

484,5

490118

175363

310237

1,168

-6

0,492

38

1372

520,1

526349

188291

333109

1,187

3

0,443

40

1396

556,9

554243

201617

356683

1,203

12

0,395


 

XIV. HYDRAULIC CALCULATIONS

 

ANNULAR VELOCITY (m/min)


NOZZLE VELOCITY (m/sec)

N1 2 3 = Nozzle diameter (mm)

Q = pump output, (l/min)

n = # strokes per minute

L = stroke length, (mm)

IDL = liner inside diameter, (mm)


TRIPLEX PUMP OUTPUT ( 100% ) L/min

Q = 2.3562 x n x L x IDL2 / 1,000,000


DUPLEX PUMP OUTPUT ( 100% ) L/min

Q = 1.5708 x n x L x (2 x IDL - DR2) / 1,000,000

DR = rod diameter, (mm)


JET NOZZLE CONVERSION

32nd's x 0.794 = mm's      eg. 12 x 0.794 = 9.5 mm


 

XV. VOLUME CALCULATIONS

 

OPEN HOLE CAPACITY (m3/100m)

OHC = DH2 / 12732

ANNULAR VOLUME (m3/100m)

V = DH2 - DP2 / 12732

RECTANGULAR TANK VOLUME

V = L x W x H

CYLINDRICAL TANK VOLUME

V = DT2 xH / 1.2733

DH = diameter of hole (mm)

DP = diameter of pipe (mm)

DT = diameter of tank (m)

L = Length

W = Width

H = Height