g ene r a l 0 f fie e a nco - new mexico institute of...

-+

HARBISON - FISC HER MANUFACTURING CO. G ENE R A L 0 F Fie E A NCo • ~ .,

FORT WORTH, TEXAS

e'

WAREHOUSES

:, :: -iTA FALLS, TEX. GREAT BEND, KAN. -: . ~TON, TEX. EL DORADO, KAN. :::: ~::S.A., TEX. CASPER, WYO . .:.3 _="iE, TEX. NATCHEZ, MISS. :~.=E=:, TEX. LOS ANGELES, CALIF. C'.':':10MA CITY, OKLA. HOBBS, N. MEX. G?':"'/ILLE, Ill. SHREVEPORT, LA.

EDMONDTON, ALTA., CANADA

F

#

This publication is based on generally accepted practice

and formulas. Owing to the wide variance of well condi

tions, results obtained naturally cannot be insured but

should compare favorably with most pumping conditions.

In the use of this material certain assumptions are made

which serve to simplify the extent of the calculations and

yet not effect the overall results. These assumptions are

that the fluid level is at the pump, that the fluid pumped is

water, and that friction is counteracted by bouyancy.

Content of material is grouped as follows:

Formulas and Tables

Sample Pumping Calculations

Condensed Production Data

Useful Information \

a

p

FORMULAS

WELL PRODUCTION

A. Apparent Theoretical Pump Displacement-Pt

Pt=K X S X SPM

Where P t = Production, barrels per day K = Pump constant (see Table I) S = Polished Rod stroke, inches

SPM = Strokes per minute

Then apparent production = Apparent Theoretical Displacement X Overall Well Effi ciency.

B. Actual Theoretical Pump Displacement-P

P = K X Sp

Where P = K = Sp =

SPM =

SP}I

Production, barrels per day Pump constant Plunger stroke, inches Strokes per minute

Then actual production = Actual Theoretical Displacement X Pump Vo~umetric Efficiency.

1. Plunger Stroke-Sp

Sp=S-E + 0

Where Sp = Plunger stroke, inches S = Polished Rod stroke,

inches E = Combined rod and tubing

stretch, inches o = Plunger overtravel, inches

2. Elongation, Rod and Tubing Stretch-E

D )2E = Eo ( 1000

Where E = Combined rod and tubing stretch, inches

Eo = Stretch coefficient D = Depth to pump, feet

and Eo = Cr + Ct

Where Cr = Stretch coefficient, rods Ct = Stretch coefficient, tubing

(Not required where tubing is anchored near pump)

(.136) (d)2 and Cr =

Where d = Ar =

A (see Table II) r

Plunger diameter, inches Cross-sectional area of rods, square inches (see Table III)

and Ct = (.136) (d)2 (see Table IV) At

Where At = Cross-sectional area of tubing, square inches (see Table V)

For tapered rod string use Crt in place of Cp

Crt = CILI + C2L 2+ CnLn D

Where Ch C2 and Cn=

LI, L2 and L n=

D =

Coefficients for different sizes of rods Lengths of respective sizes of rods Depth to pump, feet

3. Plunger Overtravel-O

0= 1.55(F -1) ( 1~0 Y Where 0 = Overtravel, inches

F = Impulse Factor D = Depth to pump, feet

S X SPM2 and F = 1 + 70,500 (see Table VI)

Where S = Polished Rod stroke, inches SPM = Strokes per minute

II PEAK POLISHED ROD LOAD

A. Straight Rod String-PPL

PPL=Wf + (F X W r)

Where PPL = Peak Polished Rod load, pounds

W f = Weight of fluid load, pounds Wr = Weight of rod string, pounds

(see Table III) F = Impulse Factor

and W f = (0.34) (d)2(D)

Where d = Plunger diameter, inches D = Depth to pump, feet

B. Tapered Rod String-PPLT

PPLT = WI -- F(Wrl + W'2 + etc)

Where PPLT = Peak Polished Rod load, pounds WI = Weight of fluid load, pounds

F = Impulse Factor ~,

W rl = Weight of rods in first section of string, pounds

W r2 = Weight of rods in second section of string, pounds, etc.

2

L

FORMULAS

$ 4

m MINIMUM POLISHED ROD LOAD

MPL = Wr(1.87 - F)

Where MPL = Minimum Polished Rod load, pounds

Wr = Weight of rod string, pounds

F = Impulse Factor

IV PEAK TORQUE

A. PTe = 0.2 X PPL xS (for estimating pur

Where PT = PPL =

S =

poses only on properly counterbalanced well)

Peak Torque, inch-pounds Peak Polished Rod load, pounds Polished Rod stroke, inches

B. PT= [F(Wr+ Wf) -CB] ~ Where PT =

F = Wr =

..-.... Wf =

CB = S =

Peak Torque, inch-pounds Impulse Factor Weight of rods, pounds Weight of fluid load, pounds Counterbalance, pounds Polished Rod stroke

V COUNTERBALANCE

A. CBe = 0.6 X PPL (For estimating purposes

Where CB = PPL =

B. CB=Wr +

Where CB = Wr =

Wf =

VI ROD STRESS

only)

Counterbalance, pounds Peak Polished Rod load, pounds

Wf ~

Counterbalance, pounds Weight of rods, pounds Weight of fluid, pounds

A. Straight Rod String-Sr

= PPLS r A

r

Where Sr =

PPL = Ar =

p

Unit stress in top rod, ::!~'_;U15

per square inch Peak Polished Rod :c'2',d. :;::c~mds

Cross-sectional area 0: r: c1. square inches

B. Tapered Rod String-Srt. Sr2' Sr3

S _ PPLTr1 - Ar1

Where SrI =

Ar1 =

Sr2 = Wf +

Where Sr2 =

Ar2 =

S _ Wf + r3

Unit stress in top rod of rod string, psi

Area of top rod of rod string

F(Wr2 + Wd A r2

Unit stress in top rod of second section of string, psi Area of top rod of second section of string

(F(Wr3 )Ar3

Where Sr3= Unit stress in top rod of third section of string, psi

Ar3 = Area of top rod of third section of string

VII HORSEPOWER

A. Prime Mover Horsepower-HPe

BPD X D . S f U't Eff' . *HPe = 85,000 --;-- ur ace TIl lClency

Where BPD = Production, barrels per day D = Depth to pump, feet

B. Hydraulic Horsepower-HPH,-d

HPHyd =.00000737 X BPD X D

Where BPD = Production, barrels per day D = Depth to pump, feet

Because of losses throughout the sucker rods and surface equipment, it is general practice to make the prime mover horsepower about double the hydraulic horsepower.

When considering an electric motor, the required horsepower is increased by an additional 45 %.

~,"'. "ole of thumb would be BOi'o

3

TABLES

TABLE '1 CONSTANT "K" FOR. CALCULATING APPARENT THEORETICAL DISPLACEMENT

Type Pump

Tubing Size

Pump Bore

D·D* Pump Connecting Tube

Diameter

Equivalent Bore

Diameter

Diameter Squared

Bore Area Square Inches

Consta nt "K"

Wt. of Fluid

On Plunger

Lb/Ft.

Rod 1-y." %''' .750 .5625 .442 .066 .191 Rod I·W I" 1.000 1.0000 .785 .116 .340 0-0* Rod

1.112" 2"

1Y4" 1-l{6'

3/ " [Ba.e I/4 1.594 1.0625

2.5400 1.1289

1.995 .887

.299

.132 .864 .384

Rod 2" I-W 1.2500 1.5625 1.227 .182 .531 Rod 2" I-~" 1.5000 2.2500 1.767 .262 .765

0-0* 2" I-W I" (Base) 1.871 3.5174 2.749 .408 1.190 Rod 2" 1.% 1.625 2:6406 2.074 .308 .898 Rod or Tubing 2.),-]" I-Y." 1.750 3.0625 2.405 .357 1.041 Tubing 2" 1-%" 1.781 3.1719 2.492 .370 1.079

Rod 2-W 2" 2.000 4.000 3.142 .466 1.360

0-0* 2-W 2" I-W (--40) 2.556 6.5344 5.133 .762 2.223 Rod 2W 2·Ys" 2.125 4.5156 3.547 .526 1.536 Tubing 2 1/"- /2 2·W 2.250 5.0625 3.976 .590 1.722 Rod 3" 2-W 2.500 6.2500 4.909 .729 2.125

0-0* 3" 2-W I-W (Base) 3.202 10.2528 8.053 1.195 3.490

Tubing 3" 2-Y." 2.750 7.5625 5.940 .882 2.570 Rod 4" 3-W 3.250 10.5625 8.296 1.231 3.590 3-Tube 4" 3·W 3.062 9.3760 7.366 1.093 3.190 0-0* 4" 3-'/." 2-W (--40) 4.030 16.2409 12.756 1.893 5.520 Tubing 4" 3-Y." 3.750 14.0625 11.045 1.639 4.780

0-0* 5" 3-%," 2-W (--40) 4.821 23.2420 18.254 2.709 7.900 Tubing 5" 4-%," 4.750 22.5625 17.721 2.630 7.670

Pump factor "K" ;s such that when multiplied by the product of stroke and length of stroke, the result will be the Apparent Theoretical Production in BPD and is itself the product of a constant "R" times area of the plunger.

R =~/day 1440 = .1484 cu in/bbl 9702

TABLE II SUCKER ROD STRETCH COEFFICIENT "C""

Plunger Rod Size

Diameter ~" %" Y." Ye" I" I-Ys"

%''' I"

IXt I-y''' I-W

I-~" 0-0* f-%" I-%," I-21St 2"

2" 0-0* 2.Ya" 2·W 2-W 2-~" 0-0*

2-Y." 3-y''' 3·Tube 3-y''' 3-y''' 0-0* 3-%,"

3-%," 0-0* 4-W

.39

.69

,

0.50 0.69 1.00

1.55 1.17 1.36 1.41 1.77

2.90 2.00 2.24 2.77 4.54

3.35 J., •

4.68

..

0.35 0.48 0.69

1.08 .81

0.94 0.98 1.23

2.01 1.39 1.56 1.92 3.16

2.33 .... 3.25 5.00 4.33

0.26 0.35 0.51

0.79 .60

0.69 0.72 0.90

1.48 1.02 1./4 1.41 2.32

1.71 2.12 2.39 3.67 3.18

5.26

0.20 0.27 0.39

0.61 .46

0.53 0.55 0.69

1.13 .78

0.88 1.08 1.78

1·.3 I 1.62 1.83 2.81 2.44

4.02 3.91

0.15 0.21 0.31

0.48 .36

0.42 0.43 0.55

0.89 .62

0.69 0.86 1.40

1.03 1.28 1.45 2.22 1.92

3.18 3.09

-*Dou ble-Displacement

4

r'---o.,... - --- _

TABLES

TABLE III

SUCKER ROD WEIGHTS AND D'.jENSIONS COUPLING DATA

Rod Size Inch

Wr Rod

Weight Lb./ I000 Ft.

Buoyant Wt. of Rods Lb./ I000 Ft.

I Ar

! Area of

Sucker Rod . Sq. In.

A"I ~h~eao

S:Z8

.r:~

I Standard API

0.0. Inch

Coupling Min.

Tubing ID-In.

Slimhole API

0.0. Inch

Coupling Min.

Tubing ID-In.

112 % % 7,/a

I I'/a

680 1160 1630 2160 2880 3670

600 1000 1410 1900 2520 3210

i,

, I

i

.196

.307

.442

.60 I

.785

.994

~4 "/"1'1,6 11/ ,6 1% 10/16 I

I / 112 1% 1'0/,.

20/,. 2%

11f4 1%

2 21f2 3 3

11f4 1112 1% 2

1112 1% 2 21f2

Standard length of coupling for 1f2-in. rod is 2%-in.; couplings for % through 1'/8-;n., rods inclusive, are 4-in. in length.

TABLE IV TUBING STRETCH COEFFICIENT "C,"

Plunger Tubing Size, Nominal

Diameter 2" 2-'12" 3" 4"

I·)it .12 .08 .06 .04 H~" .16 .12 .08 .06 I-~" .23 .17 .12 .09 I-~" 0-0* .37 .26 .18 .13 1-%" .23 .16 .12

1-2152" .33 .24 .17 .12 2" .30 .21 .15 2" 0-0* .. ,49 .34 .25 n~" .38 .27 .19 2-W .33 .24

2-~" 0-0* .54 .39 2-W .40 .29 3-!i" .40 3-!i" 0-0* .61 3-W .53

Nominal Size

%" I" I-!i" I-~" 2"

2" 2-W 3" 4"5

TABLE V CROSS SECTIONAL AREA OF TUBING "At"

, !

Outside inside Weight #/ft. Diameter Diameter REG.

1.050" 1.315" 1.660" 1.900" 2.375"

.824" 1.049" •.3 80" .610'

:.04 [' 2.75 4.00

2.375" 2.875" 3.500" 4.500" ,

.:;95 .

..... ,~ ~2

.958

4.60 6.40 9.20

[2.60

EUE

1.20 1.80 2.40 2.90

4.70 6.50 9.30

12.75

At sq. in.

.333

.507

.669

.800 1.162

1.307 1.812 2.590 3.600

*Double Displacement

r 5

Stroke Length

12" 24" 34" 44" 54"

64" 74" 84"

100" 120"

144" 180" 240" 360"

TABLES

TABLE VI

IMPULSE FACTOR "F"

Strokes Per Minute -

2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 22 25 30

1.00 1.00 1.00 1.00 1.0 I 1.0 I 1.01 1.01 1.02 1.02 1.03 1.04 1.04 1.06 1.07 1.08 1.1 I 1.15 1.00 1.00 I.OJ 1.0 I 1.0 I 1.02 1.02 1.03 1.03 1.05 1.07 1.08 1.09 /.11 1.14 1.16 1.21 1.31 1.00 1.00 1.01 1.0 I 1.02 1.02 1.03 1.04 1.05 1.07 1.10 1.1 I 1.12 1.16 1.19 1.23 1.30 1,43 1.00 1.0 I 1.01 1.02 1.02 1.03 1.04 1.05 1.06 1.09 1.12 1.14 1.16 1.20 1.25 1.30 1.39 1.56 1.00 1.0 I 1.0 I 1.02 1.03 1.04 1.05 1.06 1.08 1.1 I 1.15 1.18 1.20 1.25 1.31 1.37 1,48 1.69

1.00 1.01 1.02 1.02 1.03 1.04 1.06 1.07 1.09 1.13 1.18 1.20 1.23 1.29 1.36 1,44 1.57 1.82 1.00 1.01 1.02 1.03 1.04 /.05 1.07 1.09 1.10 1.15 1.21 1.24 1.27 1.34 1,42 1.51 1.66 1.94 1.00 1.01 1.02 1.03 1.04 1.06 1.08 1.10 1.12 1.17 1.23 1.27 1.30 1.39 1,48 1.58 1.74 1.01 1.01 1.02 1.04 1.05 1.07 1.09 1.11 1.14 1.20 1.28 1.32 1.36 1,46 1.57 1.69 1.89 1.01 1.02 1.03 1.04 1.06 1.08 1.11 1.14 1.17 1.24 1.33 1.38 1.44 1.55 1.68

1.01 r.02 1.03 1.05 1.07 1.10 1./3 1.17 1.20 1.29 1,40 1,46 1.01 1.02 1.04 1.06 1.09 1.13 1.16 1.20 1.26 1.37 1.50 1.0 I 1.03 1.05 1.08 1.12 1.17 1.22 1.28 1.34 1.02 1.05 1.08 1.13 1.18 1.25

TABLE VII

/'0 OF RODS FOR EQUAL STRESS AT TOP OF EACH SECTION

Plunger I.I/s", 1". Ys" & %" I", 'l's" & %" W', %" & %" I" & 'l's" W'&%+%"~~

~--~L ----, TDiameter /'0 W' /'0%" "Io%" "10%" "10 W' "10%". /'oSfa" f----

/'01" /'oW' "10%" -

1·)I,t 17.03 19.25 48.30 21.98 58.64 26.11 50.86 77.69 73.84 68.23 I.~" 18.27 2Q.66 44.54 23.59 55.62 28.61 46.17 76.42 71.93 65.22 1.)1" 20.23 22.88 38.57 26.14 50.83 32.57 38.72 74,41 68.90 60A3 1.)1" D·D"'''' 23.81 26.59 27.73 30.78 42.12 39.78 25.16 70.75 63,41 51.72 1·%" 22.55 25.50 31.52 29.15 45.17 37.25 29.91 72.03 65.33 54.77

1.2%2" 22.87 25.87 30.56 29.56 44,40 37.89 28.71 71.70 64.80 54.00 2" 25.24 28.55 23.38 32.63 38.63 42.66 18.36 69.28 61.20 48.23 2" D·D""" 32.24 36.75 1.38 42.03 20.97 '" '" 61,49 50.06 30.57 2·~'" 28.27 31.98 14.17 36.,57 31.23 48.78 8.23 66.17 56.58 40.83 2.)1" 31.67 35.83 3.86 33.97 22.96 '" '" 62.69 51.31 32.56

2·)1" D·D"'''' '" '" '" '" '" '" '" 50.96 33.70 4.67 2·%" '" '" '" 45.84 13.81 '" '" 58.84 45.54 23.42 3·W '" '" '" '" '" '" '" 50.06 32.34 2.52 3.~" D·D"'''' '" '" '" '" '" '" '" 33.42 7.37 '" 3.%" '" '" '" '" '" '" '" 39.80 16.95 '" 3·%" D·D"'''' '" '" '" '" '"

II '" '" 12.92 '" '"

4·%" '" '" '" '" '" '" '" 14.19 '" '" I

"'Not Possible to Have Equal Stress

"''''Double Displacement

6

~"'.~

--

TABLE VIII

SYNCHRONOUS AND NON-SYNCHRONOUS .. PUMPING SPEEDS

35

30

25

20

15

10 w 9 I

::J 8Z

::E 7 «:

k

6w a..

V>

w ~ 5 0 «: I V> 4

3

2

91 l

II I

I "

,

I II I I II

i I

, , I I , i ,I , I ....

...... .... ,,"...... '

Iii"

I"- "'- 1 " ,I!I, ,, "

N II" I If'..i ! I "1'Il !' Ii I"X

I ,II ,'-N..1\"'" II~! I I r IiiI'. "'" ,

++t--- I----- ~- , !f-+-1'i',

-t-i-....

, ;, I , , i, I II I I

" , I

, --i~" :" ,II ; , i; II

, I

I

i

I ,, III I ; I'

I 'I I,

I ! I I, I

'Ii Ii

f-

I It+

I,

DESIRABLE

, ;

SPEEDS 1 UNDESIRABLE SPEEDS

' I I

lit' ,

iii I

: ! -t+f : I I I

I 'I I I' i I I) ! III 'i II

,

2 3 4 5 6 7 8 9 10

I ,

I

+t Ii

I i

DE P T H

Graphic representation

of Slonneger's formula for favora ble pumping speeds of straight (not ta pered) rod strings

237,000NSPM = 15TTNT Where D= Depth to

pump

and N=Whole numl-er plus 0.5

ru

7

SAMPLE PUMPING CALCULATIONS

For example purposes, the following cor~ditions are assumed:

2" x 1%" bore pump @ 5,000' w 34," rods and tubing not anchored using 20-54" SPM.

I - WELL PRODUCTION From above, Ct = .234

E c = Crt + Ct A. Apparent Theoretical Pump Displacement: E c = .636 + .234 = .870

Pt=K X S X SPM E=Ec (1~0 Y From Table I, K = .262 = (.870) (5)2 = 21.8"

P t = .262 X 54 X 20 = 283 BPD Sp= S-E +0 = 54 - 22 + 12 = 44"

B. Actual Theoretical Pump Displacement: P= K X Sp X SPM = .262 X 44 X20 = 231 BPD

1. Straight Rod String

C = (.136) (d)2 (.136) (1.5)2 = 692 r A

r .442 . II - PEAK POLISHED ROD LOAD

Or From Table II, Cr = .69 A. Straight Rod String

C = (.136) (d)2 (.136) (1.5)2 = 234 t At 1.307 . PPL = W f + (Wr ) (F)

Wf = (.34) (d)2(D)Or From Table IV, Ct = .23 = (.34) (1.5)2 (5,000) = 3,825# ~" E c = Cr I Ct

E c = .692 + .234 = .926 (Wr ) (F) = (5) (1,630) (1.31 = 10,677#

PPL = 3,825 + 10,677 = 14,502#E=Ec (l~OY

= (.926) (5)2 = 23.2" B. Tapered Rod String

0=1.55 (F -1) (1~0 Y Assume this well is equipped with 3,425' of %" rods and 1,575' of %" rods.

From Table VI, F = 1.31 PPLT = Wf + (F) (Wr1 + W r2 )

0= (1.55) (1.31-1) (5)2 = 12" From above Wr = 3,825#Sp= S-E+ 0

Sp = 54 - 23 + 12= 43" (F) (Wr1 + W r2 )

P=K X Sp X SPM = (1.31) [(1,630) (3.425) + (2,160) (1.575) J= 11,770#From Table I, K = .262

PPLT = 3,825 + 11,770 = 15,595#P = .262 X 43 X 20 = 225 BPD

2. Tapered Rod String III - MINIMUM POLISHED ROD LOAD

Assume this well is equipped with 3,500' of %" rods and 1,500' of %" rods.

A. Straight Rod String From Table II MPL = (Wr ) (1.87 - F)

Cr of %" = .69 MPL = (5) (1,630) (1.87 - 1.31) = 4,465#Cr of %"= .51

C1Ll + C2L 2 B. Tapered Rod StringCrt=~-D~

(.69) (3,500) + (.51) (1,500) .636

MPLT = (Wr1 + 'i\"reJ (1.87 - F)

5,000 MPLT = (8,985) (.56) = 5,032#

8

SAMPLE PUMPING

.. IV - PEAK TORQUE

A. For estimate on properly counterbalanced well:

PTe = .2 X PPL X S

= .2 X 14,502 X 54 = 156,622 in.:::;

B. Actual Peak Torque:

PT = [F(Wr +W t ) - CB] 2S

= [1.31 (8,150 + 3,825) -10,063] [27]

= 151,848 in.#

V - COUNTERBALANCE

A. For estimate on properly counterbalanced well:

CBe =.6 X PPL

=.6 X 14,502 = 8,701#

B. Actual Counterbalance

CB=W + W t r 2

= (5) (1,630) + 3,~25 = 10,063#

VI - ROD STRESS

A. Straight Rod String

'= PPL = 14,502 = 32 810 .Sr A .442 ' PSI

r

B. Tapered Rod String13 ElL

Assume this installation has 2,500' of 5 S1'

rods, 1,250' of %," rods and 1,250' of's" rods:

CALCULATIONS

PPLT = W t + (F) (Wr1 + Wr2 + W rS )

= 3,825 + (1.31) (1,160 X 2.5 + 1,630

X 1.25 + 2,160 X 1.25)

= 13,831#

Then:

S - PPLT 13,831 = 23 013 . r1 - A .601 ' PSI

r1

S _ W t + (F) (Wr2 + W rS ) r2 - A

r2

3,825 + (1.31) (2,900 + 2,037) .442

= 23,285 psi

W t + (F) (WrS )SrS = ----'----,----'-----'-A rs

3,825 + (1.31) (2,900) = 24,839 psi .307

VII - HORSEPOWER

A. For estimating HP of Prime Mover

BPD XD HPe = 85,000 ---;- Eff.

= 225 X 5,000 ---'--- 8 '= 16 5 HP 85,000' .

B. Hydraulic HP

HPHyd = .00000737 X BPD X D

= .00000737 X 225 X 5,000

= 8.29 HP

Then general practice would require a prime mover of 16.6 HP

If an electric motor is to be used it should be r2,ted at 24 HP.

9

CONDENSED PRODUCTION DATA

The following charts provide rapid determination of plunger displacement, stroke loss because of the stretch 01 rods and tubing and overtravel of the plunger. The plunger displacement chart reads in BPD opposite stroke length and SPM. To determine the probable production of a given pumping installation, ascertain the true plunger stroke by applying the elongation value from the stroke loss chart and the overtravel value from the overtravel chart to the polished rod stroke. Then locate this corrected stroke value on the plunger displacement chart and read the BPD opposite the SPM.

Example: 2112" X 2" bore pump at 3,500 feet on Va" rods at 15-74" SPM, tubing unanchored

Stroke loss-

for rods = 11'"

for tubing= 4" 15" total stroke loss

overtravel = 3" 12" net stroke loss

net plunger stroke = 62"

Then from plunger displacement chart BPD =440

To determine stroke loss of tapered rod strings, use the same percentage of loss indicated by charts for a given size rod as the percentage of that rod in the rod string.

Example: Assume the 2Y2" X 2" bore pump is to use 2,450 feet of Va" rods and 1,050 feet of 1" rods

Stroke loss11" X 2,450

for Va" rods = = 7.7"3,500

8" X 1,050for 1" rods = = 2.4" 3,500

stroke loss due to rod stretch 10"

10

bt;


STROKE LOSS

DEPTH 1500'

PUMP BORE 5/8" 3/4"

SUCKER 7/8"

RODS I' 1-1/8" 2"

TUBING 2-1/2" 3" 4"

1-]{6" I-X" I.Yz" I.Yz" D-D* 1%"

I" 2" 2" 3" 3"

I" I" I" 2" 2"

I" I" I" 2" 2"

[" I" I"~

I"

I" I" I"

· . I" I" I"

I"

· . · .

1.25;3'2" 2" 2" D-D* 2-X" 2-)1"

3" 4" 6" 5" 6"

2" 3" 5" 4" 4"

2" 2" 3" 3" 3"

I" I" 3" 2" 2"

I" I"

2" 2" 2"

I" I" I" I" \"

I" I" I"

I

I

I"

I"

2-)1" D-D* 2-%" 3-X" 3-X" D-D* 3-%"

10" 8"

II"

7" 5" 7"

II" 10"

5" 4" 5" 8" 7"

4" 3" 4" 6" 5"

3" 2" 3" 5" 4"

I" \"

I" I" I" I" j"

3-%" D-D* 4-%"

12" 9" 9"

7" 7" I

· . · . · '

DEPTH 2000' PUMP SUCKER RODS TUBING BORE 5/8" 3/4" 7/8" I" 1-1/8" 2" 2-1/2" 3" 4"

I-]{t 2" I" I" I" I" · . · . I-X" 3" 2" I" I" I" I" I-W 4" 3" 2" 2" I" I" I" I-W D-D* 6" 4" 3" 2" 2" I" I" I" · . I%" 5" 4" 3" 2" 2" I" I" · .

1_2~2" 6" 4" 3" 3" 2" I" I" I" 2" 7" 5" 4" 3" 2" I" I" I" 2" D-D* 12" 8" 6" 4" 4" 2" I" I" 2-X" 9" 6" 5" 4" 3" 2" I" I" 2·W II" 8" 6" 4" 3" I" I"

2-)1" D-D* 18" 13" 9" 7" 6" 2" 2" 2-%" 13" 9" 7" 5" 4" 2" I" 3-%;" 19" 13" 10" 7" 6" · . · . 2" 3-%;" D-D* 20" 15" II" 9" · . 2" 3.%" 17" 13" 10" 8" · , 2"

3-%" D·D* . . 21" 16" 13" · . · . · . · . 4-%" ... 16" 12" · . · .

DEPTH 2,500' PUMP BORE

SUCKER RODS TUBING 5/8" 3/4" 7/8" I" 1-1/8" 2" 2-1/2" 3" 4"

1-]{6" 3" 2" 2" I" I" I" I" · '

I-W 4" 3" 2" 2" \" I" I" I" 1-)1" 6" 4" 3" 2" 2" I" I" I" I-W D-D* 10" 7" 5" 4' 3" 2" 2" I"

IIW 9" 6" 4" 311 3" I" I"

1-2~t 9" 6" 5" . 3' 2" 2" I" 2" 2" D-D*

II" 18"

8" 13"

6" i.

9" , 3" 6"

· . 2" 3"

I" 2"

I" 2"

2-W 2-W

14" 17"

10" 12"

7" 6 9" -

4" 5"

2" 2" 2"

I" 2"

2-)1" D-D* 28" 20" 15" I 9' 3" 2" 2-%" 21" 15" II" , 8- 6" 3" 2" 3-X" 29" 20" 15" 9" 3" 3-X" D-D* 3-%"

31" 27"

23 ' 8 2~' 5

4" 12. 1

4" 3"

3-%" D-D* .. . 33' 25" . · . · . · . 4-%" 24" ? · .

i ! *Double Displacement

4

I 11

~'

CON DE N 5 ED PRODUCTION DATA

STROKE LOSS

DEPTH 3000'

PUMP

BORE 5/8" SUCK~R RODS

--------3/4" 7/8" I" 1-1/8" 2"

TUBING 2-1/2" 3" 4"

I-Ji't I-X" I-~" I-~" 1%"

0-0*

5" 6" 9"

14" 12"

3" 4" 6"

10" 8"

2" 3" 5" 7" 6"

2" 2" 4" 5" 5"

I" 2" 3" 4" 4"

I" I" 2" 3"

I" I" 2" 2" 2"

I" I" 2" I"

1-2k'2" 2" 2" 0-0 2-X" 2-~"

13" 16" 26" 20" 25"

9" II" 18" 14" 17"

6" 8"

13" 10" 13"

5" 6"

10" 8"

10"

4" 5" 8" 6" 8"

3" 2" 3" 4" 3"

2" 2" 3" 2" 3"

I" 2" 2" 2"

2-~" D-D* 2-%" 3-X" 3-X" D·D* 3-W

41" 30" 42"

28" 21" 29" 45" 39"

21" 15" 22" 33" 29"

16" 12" 16" 25" 22"

13" 9"

13" 20" 17"

5" 4"

4" 3" 4" 5" 5"

3-%" 0-0* 4-W

47" 36" 35"

29" 28"

DEPTH 3,500'

PUMP SUCKER BORE 5/8" 3/4"

3"1-V,6" 6" 4" Hi" 8" 6" 4" I-W 12" 8" 6" I-~" D-D* 19" 13" 10" IW 17" 12" 8"

1-2k'2" 17" 12" 9" 2" 22" 15" II" 2" D-D 36" 25" 18" 2-;-4 II 27" 19" 14" 2-W 34" 24" 17"

2-)1" D.D* 56" 39" 28" 2-%" 41" 29" 21" 3-X" 57" 40" 29" 3-X" 0·0* 61" 45" 3-W 53" 39"

3.%" D-D* 64" 4-W . .

TUBING

7/8" --r- I" 1-1/8" 2" 2-1/2" 3" 4"

2" 2" I" I" 3" 3" 2" I" I" 5" 4" 3" 2" I" 7" 6" 5" 3" 2" 6" 5" 3" 2"

7" 5" 4" 3" 2" 8" 7" 4" 3" 2"

14" II" 6" 4" 3" II" 8" 5" 3" 2" 13" II" 4" 3"

22" 17" 7" 5" 16" 13" 5" 4" 22" 18" 5" 34" 27" 7" 30" 24" 6"

49" 39" · . 48" 38" · .

DEPTH 4,000'

RODS

PUMP

BORE 5/8" 3/4" SUCKER RODS

7/8" I" 1-1/8" 2" TUBING

2-1/2" 3"- ---~

4"

I·){t I-W I-W I-~"

IW 0-0*

8" II" 16" 25" 22"

6" 8" II" 17" 15"

4" 6" 8"

13" II"

3" 4" 6"

10" 8"

2" -3" 5" 8" 7"

2" 3" 4" 6"

I" 2" 3" 4" 4"

I" 2" 3" 3"

· .

1-2%'2" 2" 2" D-D 2-W 2-W

23" 28" 46" 36" 44"

16" 20" 32" 25" 31"

12" 14" 24" 18" 23"

9" II" 18" 14" 17"

7" 9"

14" II" 14"

5" ..

4" 5" 8" 6"

3" 3" 5" 4" 5"

2" 4" 3" 4"

2-~" D-D* 2-W 3-X" 3-X" D-D* 3-%"

73" 54" 75"

...

51" 37" 52" 80" 69"

37" F 3'c

28" 21" 29" 45" 39"

22" 16" 23" 36" 31"

, 9" 6"

6" 5" 6"

10" 8"

3-%" 0-0* 4-%" .. . _.

64" 63"

51" 49"

..

..

*Dou ble-Dis placemenT

,1-1,;

12

4


STROKE LOSS

DEPTH 5000'

PUMP SUCKER RODs TUBING BORE 5/8"

13" 17" 25" 39" 34"

35" 44" 73" 56" 69"

114" 84"

117" ... .

. .

3/4"

9" 12" 17" 27" 24"

25" 3.1" 50" 39" 48"

79" 58" 81"

125" 108"

.. .

7/8"

7" 9"

13 " 20" 17"

18" 23" 37" 29" 35"

58" 43" 60" 91" 80"

132"

["

5" 7"

10" 15" 13'"

14" 17" 28" 22" 27"

45" 33" 46" 70" 61"

101" 98"

1-1/8"

4" 5" 8"

12" II"

II" 14" 22" 17" 22"

35" 26" 36" 56" 48"

80" 77"

2"

3" 4" 6" 9"

8"

· . · . · .

· .

2-1/2" 3"

2" 3" 2" 4" 3" 7" 5" 6" 4"

6" 4" 8" 5"

12" 9" 10" 7"

8"

... 14" · . 10"

...

· . . .

4"

· .

4" 6" 5" 6"

10" 7"

10" 15" 13"

· . · .

1-Y16" 1-y.;" I-X" I-X" D-D* 1-%"

1-2~2" 2" 2" D-D* 2-y';" 2-X"

2-X" D-D* 2-%" 3-Y.;" 3-Y.;" D-D* 3-%"

3-%" D-D* 4-%"

*Double Displacement

DEPTH 6,000'

PUMP SUCKER RODS TUBING BORE 5/8" 3/4" 7/8" I" 1-1/8" 2" 2-1/2" 3" 4"

1-Y16" I-Y.;" I-X" 1-%" 1-2~2"

18" 25" 36" 49" 51"

13" 17" 25" 34" 35"

9" 13" 18" 25" 26"

7" 10" 14" 19" 20"

5" 8"

II" 15" 15"

4" 6" 8"

12"

3" 4" 6" 8" 9"

2" 3" 4" 6" 6"

I" 2" 3" 4" 4"

2" 2-Y.;" 2-X" 2-%" 3-Y.;"

64" 81"

100" 121" 168"

44" 56" 69" 84"

117"

32" 41" 51" 62" 86"

25" 32" 39" 47" 66"

20" 25" 31" 37" 52"

II" 14"

8" 10" 12" 14"

5" 7" 9"

10" 14"

3-%" 4-%"

... .

.... 156" 114" 88"

141" 69"

III'" ... 19"

DEPTH 7,000'

PUMP SUCKER RODS TUBING BORE 5/8"

25" 34" 49" 67" 69"

87" 110" 136" 164"

... .

3/4"

17" 24" 34" 46" 48"

60" 76" 94"

114" 159"

7/8'

13 ,. 17' 25' 34' 35

4"' 56 '0'c. 8"

[ .. -

!: 7

I

,0 . 13' I' 26 ,.. ~.!.

"3 -.:~

-.. -.

1-1/8"

7" 10" 15" 2'" 21"

27'1 34" 42" 50" 58"

77' 24

I

2"

6" 8"

II"

16"

..

..

2-1/2"

4" 6" 8"

II" 12"

15" 19" · .

.__.~~ ...

3"

3" 4" 6" 8" 8"

10" 13" 16" 20" . ..

. .

.. .

4"

2" 3" 4" 6" 6"

7" 9"

12" 14" 20"

26" · .

1-Y16" I-Y.;" I-J/z" I-%" 1_2~{

2" 2-Y.;" 2-X" 2-%" 3-Y.;"

3-%" 4-%"

f

13

--


STROKE LOSS

DEPTH 8000'

PUMP

BORE 5/8" 3/4" , SUCKER RODS

7/8" I" 1-1/8" 2" TUBING

2-1/2" 3" 4"

\·J{t I-)i" I-~" J-%" 1-213'2"

32" 44" 64" 87" 90"

22" 31" 44" 60" 63"

17" 22" 32" 44" 46"

I 13" 17" 25" 34" 35"

\0" 13" 20" 27" 28"

8" 10" 15"

21"

5" 8" II" 15" 15"

4" 5" 8"

10" II"

3" 4" 5" 8" 8"

2" 2-!i" 2-~" 2-W 3-)i"

113" 143" .. ... .. .

79" 100" 122" 149"

58" 73" 90"

109" 152"

44" 56" 69" 83"

117"

35" 44" 55" 66" 93"

/9" 24"

...

13" 17" 21" 27" . ..

10" \2" 15" 19" 27"

3-%" '" . '" . 122" .. . . .. 34"

DEPTH 10,000'

PUMP SUCKER RODS TUBING BORE 5/8" 3/4" 7/8" I" 1-1/8" 2" 2-1/2" 3" 4"

I-J{t I-)i"I-W 1-%" 1-213'2"

2" 2-)i"

50" 1>9"

100" 136" 141"

'" .

35" 48" 69" 94" 98"

123"

26" 35" 51" 69" 72"

90" 114"

20" 27" 39" 53" 55"

69" 88"

15" 21" 31" 42" 43"

55" 1>9"

12" 11>" 23"

33"

8" 12" 17" 23" 24"

30" 38"

6" 8"

12" 16" 17"

21" 27"

4" 1>" 9"

12" 12"

15" 19"

DEPTH 12,000'

SUCKER RODS TUBINGPUMP 2" 3" 4"5/8" 3/4" 7/8" I" \-1/8"BORE 2-1/2"

72" 37" 22"50" 29" 12" 9" 6"17"I-J{t 39" 30" 23" 12"99" 69" 50" 9"17"I-!i"

144" 99" 73" 56" 45" 33"I-~" 24" 13"17" 1-%" 135" 99" 76" 60" 33" 23".. 17" 1_2%" 104" 79"., .. 141" 62" 48" 35" 24" /7"

14

---


OVERTRAVEL

DEPTH 1,500'

STROKES PER MINUTE STROKE LENGTH 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 22 25 30

12" , 0 I"00 00 00

24" I" I" I" 34"

00

I" I" I" I" I" 44"

00 00

I" I" I" I" I" 2" 54"

00 00

I" I" I" I" I" I" 2" 2"00 00

I" I" I" I" I" 2" 2" 3" 74" 64" 00 00 00

I" I" I" I" I" I" 2" 2" 3" 84"

00 00 0'

I" I" I" I" I" 2" 2" 3" 100"

00 ' 0

I" I" I" I" 2" 2" 2" 120"

00 00 00 00 00

I" I" I" I" 2" 2" 2", 0 0, 00

I" I" I" I" 2" 180" 144" 00 00 00 00 0_0'

I" I" I" I" 2" 240"

00 0_ 00 00 00 00 00 00

I" I" I" I"00 00 00 00 00 ,0 00 00

I" I"360" , 0 0_ 00 00 00 00 00 000' 00

DEPTH 2,000'


I" I" 24"

00 00 00 0012" 00 00 0'

I" I" I" I" I" 2" 34"

0_ 00 00 00

I" I" I" I" I" I" 2" 3" 44"

0_ 0_ 00 00

I" I" I" I" I" 2" 2" 2" 3" 54"

00 ' 0 00

I" I" I" I" 2" 2" 2" 3" 4"00 00 00 00

I" I" I" I" I" 2" 2" 3" 4" 5" 74" 64" 0_ 00 00 00 00

I" I" I" I" I" 2" 2" 3" 3" 4" 6"0'

I" I" I" I" 2" 2" 2" 3" 4" 5" 100" 84"

- 0

0_00

I" I" I" I" 2" 2" 2" 3" 4" 4" 6" 0000

I" I" I" I" 2" 2" 3" 3" 4"120" 00 00 00 00 00 00

I" I" I" I" 2" 2" 3"144" 00 0000 00 00 ' 0

I" I" I" I" 2" 2" 3"180" 00 000' 00 00

I" I" I" 2" 2" 360" 240" 0_ 00 0, 00 00 00

I" I" 2" 00 0000 00 ,0 - 0

DEPTH 2,5001

STROKE LENGTH

12" 24" 34" 44" 54"

64" 74" 84"

100" 120"

144" 180" 240" 360"

STROKES PER MINUTE

2 3 4 5 6 7 8 9 ie 12 14 IS 16 18 20 22 25 30

I" I" I" I" I"00 00

I" I" I" I" I" 2" 2" 2"0' 00

" I" I" I" 2" 2" 2" 3" 4"00 00 00

I' I' I" I" 2" 2" 2" 3" 4" 5"00 00

I" 2" 2" 2" 3" 4" 5" 7"00 00

I 2" 2" 2" 3" 3" 4" 6" 8"00 00

rI 2" 2" 3" 3" 4" 5" 6" 9"00

I" ~ 3" 3" 4" 5" 6" 7" iii

00

3" 3" 4" 6" 7" 9" I" "., - ~

4" 4" 5" 7" , 0 00 -14 [ , I" 00 00

- 0

I" I" 2 2 I" I" Z'- 2 3

00

00 00 00 0'

I" I" 2" Z-' - 0

00 00 00 00

II -=.,

15

'it


OVERTRAVEL

STROKE LENGTH

12" 24" 34" 44" 54"

64" 74" 84"

100" 120"

144" 180" 240" 360"

2

· .

· .

· .

3

· .

· .

· .

· . · .

· .

I"

4

· . · . · . · .

· . · . · . · . · .

I" I" I"

5

. .

I" I"

I" I" I" 2"

6

..

. . I" I" I" I"

I" I" 2" 2"

7

· . · . · .

I"

I" I" I" I" I"

I" 2" 2" 3"

DEPTH 3,000'

STROKES PER MINUTE

8 9 10 12 14

.. I" I" I" I" I" I"

I" I" I" I" 2" I" I" I" 2" 2", I" I" I" 2" 3" I" I" I" 2" 3" I" I" 2" 2" 3" I" 2" 2" 3" 4" 2" 2" 2" 3" 5"

2" 2" 3" 4" 6" 2" 3" 4" 5" 7" 3" 4" 5" . . . .

. .

15

I" I" 2" 2" 2"

3" 3" 4" 4" 5"

6"

. .

16

\" I" 2" 2" 3"

3" 4" 4" 5" 6"

..

. .

18

'"2" 2" 3" 3"

4" 5" 5" 6" 8"

. .

. .

20

I" 2" 3" 3" 4"

5" 6" 7" 8" 9"

22

I" 2" 3" 4" 5"

6" 8" 8"

10"

25

2" 3" 4" 5" 7"

8" 8"

10" 12" · .

· . ...

30

2" 4" 6" 8"

10"

II" 13"

. ..

...

STROKE LENGTH

12" 24" 34" 44" 54"

64" 74" 84"

100" 120"

144" 180" 240" 360"

2 3

I" I"

4

I"

I" I" \" 2"

5

..

I" I" I" I"

I" I" 2" 2"

6

I"

I" I" I" I" I"

I" 2" 2" 3"

7

I" I"

I" I" I" I" 2"

2" 2" 3" 5"

DEPTH 3,500'

STROKES PER MINUTE

8 9 10 12 14

I" I" I" I" I"

I" I" I" I" 2" I" I" I" 2" 2" I" I" ",1. 2" 3""

I" I" 2" 2" 3" I" 2" 2" 3" 4" 2" 2" 2" 3" 4" 2" 2" 3" 4" 5" 2" 3" 3" 5" 6"

2" 3" 4" 6" 8" 3" 4" 5" 7" 9" 4" 5" 6"

15

I" 2" 2" 3" 3"

4" 4" 5" 6" 7"

9"

16

I" 2" 2" 3" 4"

4" 5" 6" 7" 8"

/8

I" 2" 3" 4" 5"

6" 6" 7" 9"

10"

20

I" 3" 4" 5" 6"

7" 8" 9"

II" 13"

22

2" 3" 4" 6" 7"

8" 10" II" 13"

25

2" 4" 6" 7" 9"

II" 13" 14" 17"

· .

30

3" 6" 8"

If" 13"

16" 18"

...

DEPTH 4,000'

STROKE LENGTH

12" 24" 34" 44" 54"

64" 74" 84"

100" 120"

144" 180" 240" 360"

I

2

· .

I"

3

· . · .

I"

I" I" I" I"

4

· .

· .

I" I" I" I" I"

I" I" I" 2"

5

I" I"

I" I" I" I" I"

I" 2" 7"

[,

I" I" I"

I" I" I" I" 2"

/

7

I" I" I" I"

I"

I" 2" 2" ~.

8

I" I" I" /"

2" c'

STROKES PER MINUTE

9 10 12 14

I" I" I" I" I" I" 2" I" I" 2" 2" I" 2" 2" 3" 2" 2" 3" 4"

2" 2" 3" 4" 2" 2" 4" 5" 2" 3" 4" 6"

. 3" 3" 5" 7" 3" 4" 6" 8"

4" 5" 7" 10" 5" 6" 9" 12" 7" 8"

..

15

I" 2" 3" 3" 4"

5" 6" 7" 8" 9"

II"

16

I" 2" 3" 4" 5"

6" 7" 7" 9"

II"

18

2" 3" 4" 5" 6"

7" 8"

10" II" 13"

20

2" 3" 5" 6" 8"

9" 10" 12" 14" 17"

22

2" 4" 6" 7" 9"

II" 13" 14" 17"

. .

25

3" 6" 7"

10" 12"

14" 16" 18" 22" · .

30

4" 8" II" 14" 17"

20" 23"

...

. ..

16

--


OVERTRAVEL

STROKE LENGTH 2 3 4 5

12" .. 24" 34" 44" I" 54" I"

64" I" I" 74" I" I" 84" I" I"

100" I" 2" 120" I" I" 2"

144" I I" I" 2" 180" I" 2" 2" 240" I" 2" 3" 360" I" 2" 3" 5"

I STROKE I LENGTH 2 3 4 5

12" 24" I" I" 34" I" I" 44" I" I" I" 54" I" I" I"

64" I" I" I" 74" I" I" 2" 84" I" I" 2"

100" I" I" I" 2" 120" I" I" 2" 2"

144" I" I" 2" 3" 180" I" I" 2" 3" 240" I" 2" 3" 4" 360" I" 3" 4" 7"

II

STROKE LENGTH 2 3 4 5

12" 24" I" I" 34" I" I" 44" I" I" 2" 54" I" I" 2"

64" I" 2" 2" 74" I" 2" 2" 84" I" 2" 2"

100" I" I" 2" 3" 120" I" 2" 2" 3"

144" I" 2" 2" 4" 180" I" 2" 3" 5" 240" I" 2" 4" 6" 360" I 2" 4" 6" 10"

6

I" I" I"

I" 2" 2" 2" 2"

3" 3" 5" 7"

6

I" I" I" I" 2"

2" 2" 2" 3" 3"

4" 5" 7"

10"

6

I" I" 2" 2" 2"

2" 3" 3" 4" 5"

5" r 9"

14"

7

}"

I" I" 2"

2" 2" 2" 3" 3"

4" 5" 7"

10"

7

I" I" I" 2" 2"

2" 3" 3" 4" 4"

6" 7" 9"

14"

"T

2 2 2 3

8

I" I" 2" 2"

2" 3" 3" 3" 4"

5" 6" 9"

8

I" I" 2" 2" 3"

3" 4" 4" 5" 6"

7" 9"

12"

-

STROKES PER MINUTE

9 iJ 12 14

I' I" I" I" i' 2" 3" 2" 2' 3" 4" 2" 2" 3" 4" 2" 3" 4" 6"

3" 3" 5" 7" 3" 4" 6" 8" 4" 5" 7" 9" 4" 5" 8" j I" 5" 7" 9" 13"

7" 8" II" 16" 8" 10" 14" 19" II" 13"

STROKES PER MINUTE

9 10 12 14

I" I" I" 2" 2" 2" 3" 4" 2" 3" 4" 6" 3" 3" 5" 7" 3" 4" 6" 8"

4" 5" 7" 10" 5" 6" 8" 12" 6" 7" 9" 13" 6" 8" , I" 16" 8" 9" 13" 18"

9" II" 16" 22" II" 15" 21" 28" 16" 19"

- .- .-- - " ~UTE

: -. 14

.--

-

"

--" -

. -" --

2" 5" 8" 9"

" - : II"

- -. 14"

;,::,1'

: - -

:

-- -. -- 2

-.. - -;

. . .

-

15

2" 3" 4" 5" 7"

8" 9"

10" 12" 15"

18"

15

2" 4" 6" 8"

10"

II" 13" 15" 18" 21"

26"

15

3" 6" 8" II" 14"

15" 18" 21" 24" "7°·'

16

2" 3" 5" 6" 8"

9" 10" 12" 14" 16"

.. .

16

2" 5" 7" 9"

II"

13" IS" IT' 20" 25"

16

3" 7" 9"

12" 15"

IT' 21" 23" 27" 33"

18

2" 4" 6" 8"

10"

II" 13" 15" 18" 21"

18

3" 6" 9"

II" 14"

16" 19" 22" 26" 31"

18

5" 8"

12" 15" 19"

22" 26" 30" 35" 42"

20

3" 5" 7"

10" 12"

14" 16" 19" 22" 26"

20

4" 8" II" 14" 17"

20" 23" 27" 32" 38"

20

5" II" 14" 19" 24"

27" 32" 36" 43" 52"

I,

22. 25 30 I 3" 4" 6" 6" 8" 12" 9" 12" 17"

12" 15" 22" 14" 19" 27"

17" 22" 32" 20" 26" 36" 22" 29" 27" 34"

...

..

.. II

22 25 30

4" 6" 8" 9" 12" IT'

13" 17" 24" 17" 22" 31" 21" 27" 39"

25" 32" 46" 28" 37" 52" 32" 41" 39" 50"

...

...

...

...

22 25 30

6" 8" II" 12" 16" 24" 17" 23" 33" 23" 30" 43" 28" 36" 52"

33" 43" 62" 39" 50" 71" 44" 56" 52" 68"

...

17

=


OVE'RTRAVEL

DEPTH 8,000'


12" I" I" I" I" 2" 2" 3" 4" 4" 6" 7" 8" II" 15" 24" I" I" I" 2" 2" 3" 3" 5" 7" 8" 9" II" 14" 16" 21" 31" 34" I" I" 2" 2" 3" 4" 5" 7" 10" II" 12" 16" 19" 23" 30" 43" 44" I" I" 2" 2" 3" 4" 5" 6" 9" 12" 14" 16" 20" 25" 30" 39" 56" 54" I" I" 2" 3" 4" 5" 6" 8" II" 15" 18" 20" 25" 31" 37" 48" 68"

64" I" 2" 2" 3" 4" 6" 7" 9" 13" 18" 20" 23" 29" 36" 44" 57" 81" 74" I" 2" 3" 4" 5" 7" 8" 10" 15" 21" 24" 27" 34" 42" 51" 65" 93" 84" I" 2" 3" 4" 6" 8" 9" 12" IT' 23" 27" 30" 39" 48" 58" 73"

100" I" I" 2" 4" 5" 7" 9" II" 14" 20" 28" 32" 36" 46" 57" 68" 88" 120" I" 2" 3" 4" 6" 8" II" 14" 17" 24" 33" 38" 44" 55" 67" ... . .

144" I" 2" 3" 5" 7" 10" 13" 17" 20" 29" 40" 46" 180" \" 2" 4" 6" 9" 13" 16" 20" 26" 37" 50" .. 240" I" 3" 5" 8" 12" 17" 22" 28" 34" .. . ... 360" 2" 5" 8" 13" 18" 25" ...

DEPTH 10,000'


12" .. I" 2" 2" 2" 2" 3" 3" 5" 6" 6" 9" II" 12" 17" 23" 24" I" 2" 2" 3" 3" 5" 5" 8" II" 12" 14" 17" 22" 25" 33" 48" 34" I" 2" 2" 3" 3" 5" 6" 8" II" 16" IT' 19" 25" 29" 36" 47" 67" 44" I" 2" 3" 3" 5" 6" 8" 9" 14" 19" 22" 25" 31" 39" 47" 60" 87" 54" I" 2" 3" 5" 6" 8" 9" 12" 17" 23" 28" 31" 39" 48" 57" 74" 107"

64" I" 2" 3" 3" 5" 6" 9" II" 14" 20" 28" 31" 36" 45" 56" 68" 88" 127" 74" I" 2" 3" 5" 6" 8" II" 14" 16" 23" 33" 37" 42" 53" 65" 79" 102" 146" 84" I" 2" 3" 5" 6" 9" 12" 16" 19" 26" 36" 42" 47" 60" 74" 90" 115"

100" 2" 2" 3" 6" 8" II" 14" 17" 22" 31" 43" 50" 56" 71" 88" lOT' 138" 120" 2" 3" 5" 6" 9" 12" 17" 22" 26" 37" 51" 59" 68" 85" 105" '" .

144" 2" 3" 5'.' 8" II" 16" 20" 26" 31" 45" 62" 71" ... . ... 180" 2" 3" 6" 9" 14" 20" 25" 31" 40" 56" 78" ... . . 240" 2" 5" 8" 12" 19" 26" 34" 43" 53" ... . .. 360" 3" 8" 12" 20" 28" 39" ....

DEP'rH 12,000'


I 12" 24" I"

I" 2"

I" 2"

2" 2"

2" 4"

2" 2" 4" 4" 7" 4" 7" 7" II" 16"

9" 18"

9" 20"

13" 25"

16" 31"

18" 36"

25" 47"

33" 69"

34" I" 2" 2" 4" 4" 7" 9" II" 16" 22" 25" 27" 36" 42" 51" 67" 96" 44" I" 2"11 2" 4" 4" 7" 9" II" 13" 20" 27" 31" 36" 45" 56" 61" 87" 125" 54" I" 2" 2" 4" 7" 9" I I" 13" 18" 25" 33" 40" 45" 56" 69" 83" 107" 154"

~

64" I" 2" 4" 4" 7" 9" 13" 16" 20" 29" 40" 45" 51" 65" 80" 98" 127" 183" 74" I" 2" 4" 7" 9" I ~ 20" 22" 33" 47" 54" 60" 76" 94" 114" 147" 210" 84" I" 2" 4" 7" 9" : 'Z2" 27" 38" 51" 60" 67" 87" lOT' 129" 165"

100" 2" 2" 4" 9" I I" ~51l 31" 45" 62" 71" 80" 103" 127" 154" 199" 120" 2" 4" 7" 9" 13' ,tIll 38" 54" 74" 85" 98" 123" 152"

144" 2" 4" 1" II" I J . " 45" 65" 89" 103" .... 180" 2" 4" 9" 13" ".f , . ." 58" 83" 112" ... 240"

I 360" I I

2" 4"

1" II"

II" Ifl"

18" .... r·

76" . , . . .. . '" .

..

... .. . . ...

= .. .....,...."

18


PLUNGER DISPLACEMENT

1.1/16" BORE


12" 3 5 6 8 10 II 13 14 16 19 22 24 25 29 32 35 40 48 24" 6 10 13 16 19 22 25 29 32 38 44 48 51 57 63 70 79 95 34" 9 13 18 22 27 31 36 40 45 54 63 67 72 80 90 99 112 135 44" 12 17 23 29 35 41 46 52 58 70 81 87 93 105 116 128 145 174 54" 14 21 29 36 43 50 57 64 71 86 100 107 114 128 143 157 178 214

64" 17 25 34 42 51 59 68 76 84 10 I 118 127 135 152 169 186 211 253 74" 20 29 39 49 59 68 78 88 98 117 137 147 156 176 199 215 244 ... 84" 22 33 44 55 67 78 89 100 III 122 155 166 177 200 222 244 277

26 40 53 66 79 92 106 119 132 158 185 198 211 238 264 290100" 32 47 63 79 95 110 127 142 158 190 222 238 253 285

144"

120"

38 57 7b 95 114 133 152 171 190 228 266 ... . .. 180" 48 71 95 119 143 166 190 2[4 238 285 ... 240" 63 95 127 158 190 222 253 285 ... .. . . .. 360" 95 142 190 237 285 .. . ... . ..

STROKE LENGTH 2 3 4 5 6 7 8

STROKES PER

9 10

MINUTE

12 14 [5 16 18 20 22 25 30

12" 24" 34" 44" 54"

4 9

12 16

20

7 13 19 24 29

9 17 25 32 39

II 22 31 40 49

13 26 37 48 59

15 31 43 56 69

17 35 50 64 79

20 39 56 72 88

22 44 62 80 98

26 52 74 96

118

31 61 87

112 138

33 66 93

120 147

35 70 9.-9

128 157

39 79

III 144 177

44 87

124 160 197

48 96

136 176 216

55 109 155 200 246

66 131 186 240 295

64" 74" 84"

100" 120"

23 27 31 36 44

35 40 46 55 66

47 54 61 73 87

58 67 76 91

109

70 81 92

109 131

82 94

107 127 153

93 108 122 146 174

105 121 138 164 197

116 135 153 182 218

140 162 183 218 262

163 189 214 255 306

175 202 229 273 328

186 215 245 291 349

210 242 275 328 393

233 269 306 364

256 296 329 400

291 337 382

349

...

144" 180" 240" 360"

52 66 87

131

79 98

131 197

105 131 175 262

131 164 218 328

157 193 262 393

183 229 306

210 262 349

236 295 393

262 328

314 393

367 ...

, 'i2" BORE


S-~.:: <ES o:,~.

,. ~INUTE

:2 14 15 16 18 20 22 25 30

12" 24" 34" 44" 54"

6 13 18 23 28

9 19 27 35 42

13 25 36 46 57

16 31 45 58 71

19 38 53 69 85

22 44 62 81 99

25 5D -92 -

2S 57 · . · ' --

3 : 03 3' -

~

38 75

. ,.... '. 38-. .

44 88

125 [61 198

46 94

137 173 212

50 10 I 143 184 226

57 113 160 208 255

63 126 178 230 283

69 138 196 253 312

79 157 223 288 354

94 189 267 346 424

64" 74" 84"

100" 120"

34 39 42 52 63

50 58 64 79 94

67 78 88

105 126

84 97

110 131 157

101 116 132 157 189

117 136 IS'!' 183 222

;L :5 -0 . , ...

--

· -. ..

-- . _.

~8-. · ..- _. · . - . - ~

" '-:2~

23~ 252 290 330 -'°1

268 310 352 419 503

302 349 396 472 566

335 388 440 524

369 407 484 576

419 485 550

503

..

144" 180" 240" 360"

75 94

126 189

113 141 189 283

151 187 251 377

187 236 314 472

226 283 377 566

264 3; : ~:

--':"':" .. --

3.!: " ,-..;, ... 566

· -· -

...

..

-~-""'""'"

19



1Y2// BORE DOUBLE DISPLACEMENT

STROKE LENGTH 2 3 4 5 I> 7 8

STROKES PER MINUTE

9 10 12 14 15 II> 18 20 22 25 30

12" 24" 34" 44" 54"

10 20 28 31> 44

15 29 42 54 1>1>

20 39 51> 72 88

24 50 1>9 90

110

29 59 83

108 132

34 1>9 97

121> 154

39 78

III 144 171>

44 88

125 11>2 198

49 98

139 180 220

59 118 II>I> 215 204

1>9 137 194 251 308

73 147 208 21>9 330

78 157 222 287 353

88 171> 250 323 397

98 191> 277 359 441

108 215 305 395 485

122 245 347 449 551

147 294 411> 539 1>1>1

1>4" 74" 84"

100" 120"

52 1>0 1>9 81 98

78 91

103 In 147

104 121 137 11>3 191>

131 151 171 204 245

157 181

201> 245 294

183 211 240 281> 343

209 242 274 321> 392

235 272 308 31>7 441

21>1 302 343 408 490

313 31>2 411 490 588

31>1> 423 480 571 1>85

392 453 514 1>12 734

418 483 548 1>53 783

470 543 1>17 734 881

522 1>04 1>85 811>

574 1>1>4 754 897

1>53 755 857

783

..

144" 180" 240" 31>0"

118 147 191> 294

171> 220 294 441

235 294 392 588

294 31>7 490 734

353 441 588 881

41 : 514 1>85

470 588 783

529 1>1>1 881 ...

588 734

705 881

823

1%" BORE

STROKE LENGTH 2 3 4 5 I> 7 8

STROKES PER MINUTE

9 10 12 14 15 [I> 18 20 22 25 30

12" 24" 34" 44" 54"

9 17 24 31 39

13 21> 31> 47 57

17 34 49 1>3 77

21 43 1>\ 79 91>

21> 51 73 94

III>

30 1>0 85

110 134

34 1>9 97

121> 154

39 77

109 141 173

43 81>

121 157 193

51 103 141> 188 231

1>0 120 170 220 270

04 129 182 231> 289

1>9 137 194 251 308

77 154 218 283 347

81> 171 243 314 381>

94 188 21>7 341> 424

107 214 303 393 482

129 257 304 471 578

1>4" 74" 84"

100" 120"

41> 53 1>0 71 81>

1>9 79 90

107 128

91 101> 120 143 171

114 132 150 179 214

137 159 180 214 257

11>0 185 210 250 300

183 211 240 281> 343

201> 238 270 321 381>

228 21>4 300 357 428

274 317 31>0 428 514

320 370 420 500 1>00

343 391> 450 531> 1>43

31>1> 423 480 571 1>85

411 471> 540 1>43 77\

457 528 1>00 714

503 581 bl>0 785

571 1>1>0 750

1>85

...

..

144" 180" 240" 31>0"

103 129 171 257

154 193 257 381>

201> 257 343 514

257 321 428 1>43

308 381> 514 771

31>0 450 1>00

411 514 1>85

41>3 578 771 ...

514 043

1>17 771

720

1-25/32" BORE

STROKE STROKES PER MINUTE

LENGTH 2

9

3

13

4

18

5 I>

22 27

7

31

8

31>

9 10 12 14

40 44 53 1>2

15

1>7

II>

71

18

80

20

89

22

98

25

III

30

13312" 24" 18 27 31> 44 53 1>2 71 80 89 101> 124 133 142 11>0 178 195 222 21>1> 34" 25 38 50 1>3 75 88 101 113 121> 151 171> 189 201 221> 252 277 315 377 44" 33 49 1>5 81 98 114 130 147 11>3 195 228 244 21>0 293 321> 358 407 488 54" 40 1>0 80 100 120 140 11>0 180 200 240 280 300 320 31>0 400 440 500 599

1>4" 47 71 95 118 142 166 -189 213 237 284 332 355 379 421> 473 521 592 710 74" 55 82 110 137 104 [92 219 241> 274 329 383 411 438 493 548 1>02 1>85 84" 1>2 93 124 155 181> 218 249 280 311 373 435 41>1> 497 559 1>22 1>84

100" 74 III 148 185 222 259 291> 333 370 444 518 555 592 1>1>1> 740 120" 89 133 178 222 21>1> 3! ! 355 400 444 533 1>22 I>bI> 710

144" 107 11>0 213 21>1> 320 3i" .!,26 480 533 1>39 741> 180" 133 200 21>1> 333 400 4/ ' 1 599 1>1>1> 799 240" 178 21>1> 355 444 533 799 31>0" 21>1> 400 533 6i:'~ 79~

. . -

20

m:::-~=== __~~i.-_-----------



STROKE LENGTH

12" 24" 34" 44" 54"

64" 74" 84"

100" 120"

144" 180" 240" 360"

STROKE LENGTH

\2" 24" 34" 44" 54"

4.

64" 74" 84"

100" 120"

144" 180" 240" 360"

STROKES PER MINUTE

2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 22 25 30

1/ 17 22 28 34 39 45 50 56 67 78 84 89 101 112 123 140 168 22 34 45 56 67 78 89 [0 [ I i2 134 157 168 179 201 224 246 280 336 32 48 63 79 95 [ II 127 143 [58 [90 222 238 254 285 317 349 396 475 41 62 82 102 123 144 164 184 205 246 287 308 328 369 410 451 513 615 50 75 101 126 151 [76 201 226 252 302 352 377 403 453 503 554 629 755

60 89 119 149 179 209 239 268 298 358 418 447 477 537 596 656 746 895 69 104 139 173 208 243 277 312 347 4[6 455 517 555 624 693 759 867 78 117 157 196 235 274 3 [3 352 391 470 548 587 626 705 783 861 977 93 140 186 233 280 326 373 4[9 466 559 652 699 746 839 932 1025

112 168 224 280 336 39[ 447 503 559 671 783 839 895 1007 ..

134 201 268 336 403 470 537 604 671 805 939 .. . ... 168 252 336 419 503 587 671 755 839 1007 224 336 447 559 671 783 895 [007 336 503 671 839 1007

2 11 BORE DOUBLE DISPLACEMENT

STROKES PER M[NUTE

2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 22 25 30

18 27 37 46 55 64 73 82 91 110 128 137 146 [65 [83 201 229 274 37 55 73 91 110 128 146 165 [83 219 256 274 293 329 366 402 457 549 52 78 104 130 155 181 207 233 259 31 I 363 389 415 466 518 570 648 777 67 10 I 134 168 201 235 268 302 335 402 469 503 536 604 671 738 838 1006 82 123 165 206 247 288 329 370 411 494 576 617 658 74\ 823 905 1029 1234

98 146 195 244 293 341 390 439 488 585 683 732 780 878 975 1073 1219 1463 113 169 226 282 338 395 451 507 564 677 789 846 902 1015 1128 1241 1410 128 192 256 320 384 448 512 576 640 768 896 960 1024 1152 1280 1408 1600 152 229 305 381 457 533 610 688 762 914 1067 1143 1219 1372 1524 1676 183 274 366 457 549 640 732 823 9[4 1097 1280 1372 1463 1646

219 329 439 549 658 768 878 988 1097 [3 [7 1536 274 411 549 686 823 960 [097 [234 1372 1646 366 549 732 914 1097 1280 1463 1646 549 823 1097 1372 1646

2~4JJ BORE

J STROKE LENGTH

12" 24" 34" 44" 54"

64" 74" 84"

JOO" 120"

144" /80" 240" 360"

STR8,ES CEil. M[NUTE

2 3 4 5 6 7 8 9 J 12 14 15 16 18 20 22 25

14 28 40 52 64

21 42 60 78 96

28 57 80

104 [27

35 71

100 130 [59

42 85

[20 [56 [91

50 99

14: 182 223

57 i 13,

' i:: 2C8 255

64 27 81

23 4 287

71 142 20f 26C 39

85 70

241 3.2 382

99 [98 281 363 446

106 212 301 389 478

113 227 321 415 510

127 255 361 467 573

142 283 401 519 637

156 312 441 571 701

177 354 501 649 797

76 87 99

118

113 131 147 177

151 175 198 236

189 218 248 295

227 262 297 354

2~4

3:6 3d ,

.L 3

... 3"': 396 .!72

34: 3~3

..!i.6

53

378 t.37 t.S6-.. ~,:,,,,,

453 524 595 n8

529 611 694 826

566 655 743 885

604 699 793 944

680 786 892

1062

755 873 991

1180

831 961

1090 1298

944 1092 1239

30

212 425 602 779 956

1133

141 212 283 354 425 ~c6 5,,6 637 7:8 850 Q91 1062 1133 1274

170 212 283 425

255 319 425 637

340 425 566 850

425 53 [ 708

1062

5 i C 637 85:

i27.!

5:5 -Lj

"

68~

850 133

765 956

[274

850 :62

' :20: I .,

. .._-'"

.. . ..

I

21

p

STROKE LENGTH

12" 24" 34" 44" 54"

64" 74" 84"

100" 120"

144" 180" 240" 360"



2Y2" BORE

STROKES PER MINUTE

2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 22 25 30

17 26 35 44 52 61 70 79 87 105 122 131 140 157 174 192 218 262 35 52 70 87 105 122 140 157 175 210 245 262 280 314 349 385 437 524 50 74 99 124 149 173 198 223 248 297 347 372 396 446 495 545 619 743 64 96 128 160 192 224 256 288 320 384 448 481 512 577 641 706 801 961 79 118 157 197 236 275 314 354 393 472 550 590 629 708 786 866 983 1180

93 140 186 233 280 326 373 419 466 559 652 700 745 839 932 1026 1165 1398 108 162 215 269 323 377 431 485 539 646 754 809 862 970 1077 1187 1347 122 184 245 306 367 429 490 551 612 735 857 919 980 1102 1225 1347 1531 146 219 292 164 437 510 583 656 729 875 1020 1093 1166 1312 1458 1604 175 262 349 437 525 611 699 786 874 1048 1223 1312 1398 1572 ....

210 315 420 525 630 735 840 945 1050 1260 1470 ... 262 394 525 656 787 919 1050 1181 1312 1572 .. . .. 350 525 699 874 1050 1223 1398 1572 ... . .... 525 786 1050 1310 1572 .. . ...

2Y2" BORE DOUBLE DISPLACEMENT


..

12" 29 43 57 72 86 100 115 129 143 172 201 215 229 258 287 315 359 430 24" 57 86 115 143 172 201 229 258 287 344 402 430 459 516 574 631 717 860 34" 81 122 163 203 243 284 325 366 406 488 569 609 650 731 813 894 1016 1219 44" 105 158 210 263 315 368 421 473 526 631 736 789 841 946 1052 1157 1315 1577 54" 129 193 258 323 387 452 516 581 645 774 903 968 1032 1162 1291 1420 1613 1936

64" 153 229 306 382 459 535 612 688 765 918 1071 1147 1224 1377 1530 1683 1912 2294 74" 177 265 354 442 531 619 707 796 884 1061 1238 1326 1415 1592 1769 1945 2210 84" 201 301 402 502 602 703 803 903 1004 1205 1405 1506 1606 1807 2208 2510

100" 239 359 478 598 717 837 956 1076 1195 1434 1673 1793 1912 2151 2390 2629 120" 286 430 574 717 860 1004 1147 1291 1434 1721 2008 2151 2294 2581 ...

144" 344 516 688 860 1032 1205 1377 1549 1721 2065 2409 ... 180" 430 645 860 1076 1291 1506 1721 1936 2151 2581 .... . ... 240" 573 860 1147 1434 1721 2008 2294 2581 ... 360" 860 1291 1721 2151 2581 ...

I

2%" BORE

STROKES PER MINUTE STROKE LENGTH

12" 24" 34" 44" 54"

64" 74" 84"

100" 120"

144" 180" 240" 360"

2

21 42 60 78 95

113 131 148 176 213

254 318 423 635

3

31 63 90

116 143

169 196 222 265 318

381 476 635 953

4

42 85

120 155 190

226 261 296 352 423

508 635 847

1270

5

53 106 150 194 238

282 326 370 441 529

635 794

1058 1588

6

63 127 180 233 285

338 391 445 529 635

862 953

1270 1905

7

74 148 210 271 333

395 456 519 6i7 74i

889 [I [i 1482

. .

8

85 169 240 310 381

451 522 593 706 847

1016 1270 1693 . -

9 10

95 106 190 2! I 270 300 349 388 428 476

507 564 587 652 667 741 794 882 953 1058

1143 1270 1429 1588 1905

12 14

127 148 254 296 360 420 465 543 571 666

677 789 782 912 889 1037

1058 1234 1270 1482

1524 1778 1905

15

159 318 450 582 714

847 979

I : II 1323 1588

16

169 338 480 620 761

902 1043 1185 1411 1693

. ...

22 !;!iIi!!;' -'~ '::=====:;;;_jjIII'II

18 20 22 25 30

190 381 540 698 856

211 423 600 775 953

233 466 660 854

1048

264 529 750 969

1189

317 635 900

1163 1427

1015 1173 1334 1587 1905

1128 1304 1482 1764

1242 1436 1630 1940

1410 1630 1852

1693

... ·1'" .

iliiiiiii_iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii_"



r

3Y4" BORE


STROKES PER

9 10

MINUTE

12 14 15 16 18 20 22 25 30

12" 24" 34" 44" 54"

30 59 84

108 133

44 89

126 162 199

59 118 167 217 266

74 148 209 271 332

89 177 251 325 399

103 207 293 379 465

I 18 236 335 433 532

[33 266 377 487 598

148 295 419 542 665

177 355 502 650 798

207 414 586 758 931

222 443 628 812 997

236 473 670 867

1063

266 532 753 975

1197

295 591 837

1083 1329

325 650 921

1192 1462

369 738

1046 1354 1662

443 886

1256 1625 1994

64" 74" 84"

100" 120"

158 182 207 246 295

236 273 310 369 443

315 364 414 492 591

394 455 517 616 738

473 547 620 739 886

551 638 724 862

1034

630 729 827 985

I 182

709 820 931

1[08 1329

788 911

1034 1231 1477

945 1093 1241 1477 1773

1103 1275 1448 1723 2068

1182 1366 1551 1847 2216

1261 1458 1654 1970 2364

1418 1640 1861 2216 2658

1576 1822 2068 2462

1733 2004 2275 2708 .. .

1970 2277 2585

. .

2364

....

144" 180" 240" 360"

355 443 591 886

532 665 886

1329

709 886

1182 1773

886 1108 1477 2216

1064 1329 1773 2658

1241 1551 2068 ... .

1418 ,773 2364

1595 1994 2658

1773 22 16

2127 2658

2482

.. . .. . ... . ..

. .. I

..

i

3Y4" BORE DOUBLE DISPLACEMENT


STROKES PER

9 10

MINUTE

12 14 15 /6 18 20 22 25 30

34" 44" 54" 64" 74"

129 167 204 242 280

193 250 307 363 420

257 333 409 485 560

322 416 511 606 700

386 500 613 727 841

451 583 716 848 981

515 666 818 969

1121

579 750 920

1090 1261

644 833

1022 1212 1401

772 1000 1295 1454 1681

901 1166 1431 1696 1961

965 1249 1533 1817 2101

1030 1333 1636 1938 2241

1159 1499 1840 2181 2521

1287 1665 2044 2423 2665

1416 1832 2249 2665

...

84" 100" 120" 144" 180"

318 379 4[4 545 681

477 568 681 818

1022

636 757 908

1090 1363

795 947

1136 1363 1703

954 1136 1363 1636 2044

II 13 1325 1590 1908 2385

1272 1514 1817 2181 2726

1431 1704 2044 2453 3067

1590 1893 2272 2726 3407

1908 2272 2726 3271 4089

2226 2650 3180 3816

2385 2840 3407

..

2544 3029 3635 . ...

2862 3407 4089

3180 3786

... .

...

..

...

240" 360"

908 1363

1363 2044

1817 2726

2272 3407

2726 4089

3180 3635 4089 ... . . .. ..

....

STROKE LENGTH

34" 44" 54" 64" 74"

84" 100" 120" 144" 180"

240" 360"

2

III 144 177 210 243

275 328 393 472 590

787 1180

3

167 216 266 315 364

413 492 590 708 885

1180 1770

4

223 288 354 420 485

551 656 787 944

1180

1573 2360

5

279 361 443 524 606

688 820 983

1180 !475

1967 2950

6

334 433 531 629 728

826 983 :80 "-: "';'"'1''''.

236: 35~:!

7

390 505 62: 7?.i 8"-;

:::.:.

-. ..-..... -...

2751.

8

4L5 5~-r

- . · -· --,

· ... 838

L36C

3 '47

s-~.: <,,5 °E ?\

? -::. '" 557 .:..:,: -- .- . · ES5

:~..!. :4:

· -- . - · . : -..,.-.

..:. -.: : ;

-- . : -.- '":. -- - -. . 2655 c -. 3540 . .

.'/ ~UTE

2 14

~~ 780 :5 10[0 62 1239 59 1469 55 1698

< 1927.'07 2295 ;0 2754 32 3540 J4

15

836 1081 1328 1573 1819

2065 2459 2950

16

892 1154 1416 1678 1940

2203 2622 3147

18

1003 1298 1593 1888 2183

2478 2950 3540

20

II 15 1442 1770 2098 2426

2754 3278

.. .

22

1226 1587 1947 2308

25

...

30

...

23

STROKE LENGTH

44" 54" 64" 74" 84"

100" 120" 144" 180" 240"

360"

CON DEN SED PRO' D U C T ION D A TA


3%JJ BORE DOUBLE DISPLACEMENT

STROKES PER MINUTE

2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 22 25 30

238 358 477 596 726 834 954 1072 1192 1430 1669 1788 1907 2146 2384 293 438 585 731 878 1024 1170 1317 1463 1755 2048 2194 234: 2633 2926 .... 347 520 694 867 1040 1214 1387 1560 1734 2081 2473 2601 2774 3121 3468 401 601 802 1002 1203 1403 1603 1804 2005 2406 2807 3007 3207 3608 4009 ... 455 683 910 II 38 1365 1593 1820 2048 2276 2731 3186 3413 3641 4096 .. . ...

542 813 1084 1355 1625 1896 2167 2438 2709 3251 3793 4064 4334 4876 .... 650 975 1300 1625 1950 2276 2601 2926 3251 3901 4551 4881 5201 5851 ... 780 II 70 1560 1950 2341 2731 3121 35 II 3901 4681 5461 ... . .. 975 1463 1950 2438 2926 3413 3901 4389 4876 5851 ...

1300 1950 2601 3251 3901 4551 5201 5851 . . ..

1950 2926 3901 4876 5851 ... . . . . .. .. . ....

4%JJ BORE

STROKE STROKES PER MINUTE

LENGTH 2 3

231 347

4

463

5

579

6

694

7

810

8

926

9 10 12 14

1041 1157 1389 1620

15

1736

16

1852

18

2083

20 22

2314

25 30

....44" 54" 284 426 568 710 852 994 II 36 1278 1420 1704 1988 2130 2272 2556 2840 64" 337 505 673 842 1010 1178 1347 1515 1683 2020 2356 . 2525 2693 3030 3366 74" 389 584 778 973 1168 1362 1557 1752 1946 2335 2725 2919 3114 3503 3892 ... 84" 442 663 884 1105 1326 1546 1767 1988 2209 2651 3093 3314 3535 3977 .. . ....

100" 526 789 1052 1315 1578 1841 2104 2367 2630 3156 3682 3945 4208 4730 . . .. 120" 631 947 1262 1578 1894 2209 2525 2840 3156 3787 4418 4728 5050 5681 144" 757 1136 1515 1894 2272 2651 3030 3408 3787 4545 5302 ... 180" 947 1420 1894 2367 2840 3314 3787 4260 4734 5681 .. . ... 240" 1262 1894 2525 3156 3787 4418 5050 5681 .. . . .. ... . ...

360" 1894 2840 3787 4734 5681 ... . . . ... . ., . .. . . .. . ...

24

r~iiliiiilliiiiiiiiliiiilliiiiiiiiliiiilliiiiiiiiiiiiiiiiiiiii~------t.

--- ------ -----------

-----------

USEFUL INFORMATION

TUBING DIMENSIONS ,

Size Weight i Diameters 0.0. Nominal Lb./ Ft. I.D. Drift

Inches Inches Thd.&Cplg. Inches InchesI

1.050

1.315

1.660

1.900

2,/,.

2%

2'l's

31/2

41j2

I I Casing

I 00 ~

~ Silz

6%

7

Non Upset Upset

Non Upset

%

I Upset

Non Upset Upset

Non Upset P/2

11/4

Upset

Non Upset Upset

Non Upset 2 Upset

Non Upset 21/2 Upset

Non UpsetI3 Upset

Non Upset 4 Upset

,

1.13 1.20

1.68 1.80

2.30 2.40

2.75 2.90

3.20 3.30

4.60 4.70

6.40 6.50

I

9.20 i 9.30

12.60

J I

/2.75

CASING

Weight Pounds I Drift Casing

I p'::~r;::5 ~.·:90 11._60__

14.00 15.50 17.00

17.00 20.00 24.00

20.00 23.00 26.00

_3._87_5 4.000

4.887 5.0 i 2 4.825 4.95C 4.767 "-.892

6.0/0 6. 1 35 5.924 60 L 9

5.796 5.92 I

6.331 6.241 6.151 c.2 7:

I !

.824 .730

I

1.049

1.380

1.610

1.750

1.995

2.441

2.992

.955

1.286

1.516

1.657

1.901

2.347

2.867

Coupling 0.0. Standard

1.313 1.660

1.660 1.900

2.054 2.200

2.200 2.500

2.292 2.479

2.875 3.063

3.500 3.668

4.250 4.500

5.200 5.563

Special Clearance

1.165 1.554

1.473 1.677

1.845 2.040

2.104 2.375

2.670 2.910

3.235 3.460

3.945 4.180

4.974 5.2403.958 3.833

I

DIMENSIONS

II

Weight \ _I~ Casing Pounds -+ Drift O.D. Per Ft. Dia.~

Volume Bbl. Per 1000 Ft.

.66

1.07

1.85

2.52

2.98

3.87

5.79

8.69

I 15.21 \ I

J Casing

J.D.

-- I 24.00 I --6.-90'-0--+---7-.0-2-5-

7% 26.40 29.70

6.844 6.750

6.969 6.875

8%

24.00 28.00 32.00 36.00

7.972 7.892 7.796 7.700

8.097 8.017 7.921 7.825

I

1_

25

I

I

USEFUL INFORMATION

CONTENTS OF PIPE LINES

(where d = diameter)

Barrels per 1000' = d2 X .9714 Barrels per Mile = d2 X 5.1291 Gallons per 1000' = d2 X 40.8 Gallons per Mile = d2 X 215.424

HYDRAULIC FLOW RATES

Barrels per Hour X 0.0936 = Cubic Feet per Minute Barrels per Hour X 0.700 = Gallons per Minute Barrels per Hour X 0.00156 = Cubic Feet per Second Barrels per Hour X 1008. = Gallons per Day Barrels per Dey X .04167 = Barrels per Hour Barrels per Day X .02917 = Gallons per Minute Barrels per Day ;< .1124 = Cubic Inches per Second

Cubic Feet per Minute X 10.686 = Barrels oer Hour Cubic Feet per Minute X 28.800 = Cubic Inches per Second Cubic Feet per Minute X 7.481 = Gallons per Minute

Gallons per Day X 0.02381 = Barrels per Day Gallons per Day X 0.000992 = Barrels per Hour

Gallons per Minute X 0.1337 = Cubic Feet per Minute Gallons per Minute X 1.42857 = Barrels per Hour Gallons per Minute X 34.286 = Barrels per Day

FLUID VELOCITY

Feet per Second = Gallons per Minute X .4085 -+- d 2

Feet per Second = Barrels per Day X .0119 -+- d 2

Feet per Second = Barrels per Hour X .2859 -+- d2

HYDRAUI.IC HORSEPOWER CONSTANTS

Hydraulic Horsepower = Barrels per Hour X Pressure, p.s.i. X .000409

Hydraulic Horsepower = Barrels per Day X Pressure, p.s.i. X .000017

Hydraulic Horsepower = Gallons per Minute X Pressure, p.s.i.

X .000584

A gallon of water weighs 8.337 pounds and a cubic foot of water weighs 62.4 pounds.

To find the pressure in pounds per square inch of a column of water, multiply the height of the column in feet by .433.

To find the capacity of a cylindrical tank in U.S. Gallons, given the dimensions in inches, square the diameter, multiply by the length and by .0034.

GEOMETRIC FORMULAS

CIRCLE

Area = Square of Diameter x .7854 or Square of Radius x 3.1416

Circumference = Diameter x 3.1416 Diameter = Circumference x .3183 Doubling diameter increases area four times; Tripling diameter increases area nine times, etc.

TRIANGLE

Area = Base x '/2 of Perpendicular Height

RECTANGLE

Area = Length x Width Diagonal = Square root of sum of squares of Width and

Length

SQUARE

Area = Square of One side Diagonal = Side x 1.4142 Side = Diagonal x .7071

HEXAGON (Equal sides and angles I Area = Square of Distance across Flats x .866

or Square of Side x 2.598 Side = 1f2 of Diagonal

or Distance across Flats x .577 Diagonal = Distance across Flats x 1.155

or Side x 2

OCTAGON (Equal sides and angles)

Area = Square of Distance across Flats x .828 or Square of Side x 4.828

Side = Diagonal x .383 or Dista nce across Flats x .414

Diagonal = Distance across Flats x 1.082 or Side x 2.613

SQUARE AND CIRCLE WITH EQUAL AREA

Side of Square = Diameter of Circle x .8862 Diameter of Circle = Side of Square x 1.128 Circumference of Circle = Side of Square x 3.545

CUBE

Area of Surface = Square of Side x 6 Volume = Cube of Side Diagonal = Side x 1.732

PYRAMID

Lateral Surface Area (not incl. base) = Perimeter of Base x '/2 Slant Height

Volume = Area of Base x If) Perpendicular Height

CYLINDER

Area of Curved Surface = Diameter x Length x 3.1416

Volume = Square of Diameter x Length x .7854

CONE

Area of Curved Surface = Diameter of Base x Slant Height x 1.5708

Volume = Diameter of Base Squared x Perpendicular Height x .2618 or Area of Base x If) Perpendicular Height AIiiiiii<-'

SPHERE

Area of Surface = Square of Diameter x 3.1416 Volume = Cube of Diameter x .5236

26

USEFUL INFORMATION

EQUIVALENTS FOR OIL PATCH CALCULATIONS

Acre = 43,560. square feet Acre 5,645.376 square varas

Acre-foot 7,758. barrels

Atmosphere 33.94 feet of water

Atmosphere 29.92 inches of mercury

Atmosphere 14.70 pounds per square inch

Barrel 9,702; cubic inches

Barrel 5.6146 cubic feet

Barrel 42.0 gallons (U.S.]

B. T. U. per minute 0.02356 horse power

Centimeter 0.3937 inch

Chain 66. feet

Cubic foot 0.1781 barrel

Cubic foot 7.4805 gallons (U.S.)

Cubic yard 4.8089 barrels

Cubic yard = 46,656. cubic inches

Foot 0.3600 vara

Foot per second 0.68182 mile per hour

Foot-pound 0.001286 Britis h thermal unit

Foo~pound per second 0.001818 horse power .-.,

Gallon (U.S.) 0.02381 barrel

Gallon (U.S.) 0.1337 cubic foot

Gallon (U.S.) 231. cubic inches

Gallon (U.S.) 0.8327 gallon (Imperial)

Gallon (Imperial) 1.2009 gallons (U.S.)

Gallon ( Imperial) 277.274 cubic inches

Gram 0.03527 ounce

Horse Power 42.44 B.T.U.'s per minute

Horse Power 550. foot pounds per second

Horse Power = 33,000. foot pounds per minute

Horse Power 0.7457 kilowatt

Horse power hour 2,547. British thermal units

Inch 2.540 centimeters

Inch of water @ 60° F 0.361 pound per square inch

Kilometer 3,281. feet

Kilometer 0.6214 mile

Kilowatt 1.341 horse power

' ,Meter 39.37 lncnes

Mile 5,280. feet

Mile 1.6093 kilometers

Mile 1,900.8 varas

Mile per hour 1.4667 feet pe' second

Ounce (Avoirdupois) 28.3495 grams

Pound 0.4536 kilogram

Pound per square inch 2,309 :eet of water @ 60'F

Pound per square inch 2,0353 i,.d-es of mercury

Quintal (Mexican) 101,467 pounds

Rod 16.5 feet

Square foot 0,1296 square vara

Square vara

Temp. Centigrade

Temp. Fahrenheit

Temp. Absolute C

Temp. Absolute F

Ton (Long)

Ton (Metric)

Ton (Short or Net)

Vara

Vara

Watt-hour

7.716 square feet

5/9 (Temp. Fahr. -32)

9/5 (Temp. Cent.) +32

Temp. °C. +273

Temp. OF. +460

2,240. pounds 2,205. pounds 2,000. pounds

2.7778 feet 33.3333 inches

3.415 British thermal units

TIME

Year 365 Days

Year 8,760 Hours

Year 525,600 Minutes

Month 730 Hours

Month 43,800 Minutes

Day 24 Hours

Day 1,440 Minutes

Day 86,400 Seconds

API RANG'E LENGTHS

TUBING:

Range I 20 to 24 feet Range 2 28 to 32 feet

CASING:

Range 1 16 to 25 feet Range 2 25 to 34 feet Range 3 34 or more feet

Steel weighs about .283 pounds per cubic inch, or 489 pounds per cubic foot.

27

USEFUL INFORMATION

CIRCUMFERENCES AND AREAS OF CIRCLES

Diam- Circumeter ference In. In,

J{4 .04909 X, .09818 f6'4 .14726 Y,6 .19635 %"4 .24545 75', ,29452 ?(4 .34363 Ye .39270 %'4 .44181 ?3', .49087

'J{4 ,53999 Y,6 .58905

'f6'4 .63817 ~, .68722

I%"4 .73635 .78540

lYo4 ,83453 ~

9," .30357/3'19//6l ,93271 §{6 .92 1;5 'J{4 1.0309 IX, 1.0799 2344 1.1291 % 1.1781

2%"4 1.2273 '75'2 1.2763 '?(4 1.3254 U6 1.3 744

2%'4 1.4236 '%2 1.4726 3J{4 1.5218 Y; 1.5708

3f6'4 1.6199 '~2 1.6690 3%"4 1.7181 ?)6 1.7671

3?(4 1.8163 '%2 1.8653 3%'4 1.9145 % 1.9365

4J{4 2.0127 2X2 2.0617 4f6'4 2.1108 lY,6 2.1598 4%"4 2.2090 2%2 2.2580 4?(4 2.3072 % 2.3562

4%'4 2.4054 2?3', 2.4544 SJ{4 2.5036 'Y,6 2.5525 sf6'4 26017 2~, 2.6507 S%"4 2.6999 Ye 2.7489

S?(4 2.7981 2%2 2.8471 S%'4 2.8963 111'6 2.9452 6J{4 2.9945 3).{2 3.0434

Area Sq. In.

.00019

.00077

.00173

.00307

.00479

.00690

.00939

.01227

.01553

.01917

.02320 ,02761 .03241 .03758 .04314 .04909 .05542 .062 '13 .06922 .07670 .08456 .09281 .10144 .11045 .11984 .12962 .13979 .15033 .16126 .17257 .18427 .19635 .20880 .22166 .23489 .24850 .26248 .27688 .29164 .30680 .32232 .33824 .35453 .3 7122 .38828 .40574 .42356 .44179 .45253 .47937 .49872 .51849 .53862 .55914 .58003 .60132 .62298 .64504 .66746 .69029 .71349 .73708

Diameter In.

6f6'4 I IY,6 lYe 1716 I~ 111'6 1% IU6 IY; 1?)6 1% 11Y,6 1% 1'?3', 11;l{6 lYe 1'11'6 2 2Y,6 2Ya 2Y,6 2~ 211'6 2% 2;{6 2Y; 2?)6 2% 2'Ji'6 2% 2'Y,6 2Ye 2111'6 3 3Ji'6 3Ye 3Y,6 3~ 311'6 3% 3U6 3Y; 3?)6 3% 3'Ji'6 3% 31?{6 3Ye 311(6 4 4Y,6 4Ye 4Y,6 4~ 411'6 4% 4U6 4Y; 4?{6 4% 4'Y,6

Circumference

In.

3.0928 3.1416 3.3 379 3.5343 3.7306 3.9270 4.1233 4.3 197 4.5160

4.7124 4.9087 5.1051 5.3014 5.4978 5.5960 5.6941 5.8905 6.0868 6.2832 6.4795 6.6759 6.8722 7.0686 7.2649 7.46 I3 7.6576 7.8540 8.0503 8.2467 8.4430 8.6394 8.8357 9.0321 9.2284 9.4248 9.6211 9.8175

10.014 10.210 10.407 10.603 10.799 10996 11.192 11.388 11.585 11.781 11.977 12.174 12.3 70 12.566 12.763 12.959 13.155 13.3 52 13.548 13.744 13.941 14.137 14.334 14,530 14.726

Area Sq. In.

.7 6097 .7854 .8866 .9940

1.1075 1.2272 1.3530 1.4849 1.6230 1.7 671 1.9175 2.0739 2,2365 2.4053 2.4920 2.5802 2.7612 2.9483 3.1416 3.3410 3M66 3.7583 3.9761 4.2000 4.4301 4.6664 4.9087 5.1572 5.41 19 5.6727 5.9396 6.2126 6.4918 6.7771 7.0686 7.3662 7.6699 7.9798 8.2958 8.6179 8.9462 9.2806 9.6211 9.9678

10.321 10.680 11.045 I 1.416 I 1.793 12.177 12.566 12.962 13.3 64 13.772 14.186 14.607 15.033 15.466 15.904 16.349 16.800 17.257

Diam- Circum- Areaeter ference Sq. In.In. In.

4% 14.923 17.721 4'716 15.119 18.190 4Ye 15.3 15 18.665 4'11'6 15.512 19.147 S 15.708 19.635 SY,6 15.904 20.129 SYe 16.101 20.629 S716 16.297 21.135 S~ 16.493 21.648 S11'6 16.690 22.166 S% 16.886 22.691 SU6 17.082 23.221 5Y; 17.279 23.758 S?)6 !7.475 24.30 I S% 17.671 24.850 SIY,6 17.686 25.406 S% 18.064 25.967 SIY,6 18.261 26.535 SYe 18.457 27.109 SI11'6 18.653 27.688 6 18.850 28.274 6Ye 19.242 29.465 6~ 19.635 30.680 6% 20.028 31.919 6Y; 20.420 3 I.919 6% 20.813 34.472 6% 21.206 35.785 6Ye 21.598 37.122 7 21.991 38.485 7Ye 22.384 39.871 7~ 22.776 41.282 7% 23.169 42.718 7Y; 23.562 44.179 7% 23.955 45.664 7% 24.347 47.173 7Ye 24.740 48.707 8 25.133 50.265 8Ye 25.525 51.849 8~ 25.918 53.456 8% 26.3 I I 55.088 8Y; 26.704 56.745 8% 27.096 58.426 8% 27.489 60.132 8Ye 27.882 61.862 9 28.274 63.617 9Ye 28.667 65.397 9~ 29.060 67.201 9% 29.452 69.029 9Y; 29,845 70.882 9% 30.238 72.760 9% 30.63 I 74.662 9% 31.023 76.589

10 3 1.416 78.540 10Ye 31.809 80.516 10~ 32.201 82.516 10% 32.594 84.541 lOY; 32.987 86.590 10% 33.3 79 88.664 10% 33.772 90.763 10Ye 34.165 92.886 II 34.558 95.033

I

28

10

20

30

40

50

60

USEFUL INFORMATION

GRAVITY DENSITY CONVERSIONS

Degrees A.P.1.

Specific Gravity

60'/60'F

Pounds per

gallon

Pounds per

cu. ft.

II

12 13

14

1.000

.9930

.9861

.9792 ,9725

8.328

8.299

8.212

8.155

8.099

62.30

62.08

6 r.43

61.0 I

60.59

15

16

17

18

19

.9659

.9593

.9529

.9465

.9402

8.044

7.989

7.935

7.882

7.830

60.18 59.77

59.36

58.97

58.58

21

22

23

24

.9340

.9279

.92: 8

.9159

.9! 00

7.778 7.727

7.676

7.627

7.578

58.19

57.81

57.42

57.06

56.69

25

26 27

28 29

.9042

.8984

.8927

.8871

.8816

7.529 7.481

7.434

7.387

7.341

56.32

55.97 55.61

55.26

54.92

31

32

33

34

.8762

.8708

.8654

.8602

.8550

7.296

7.251

7.206

7.163

7.119

54.58

54.24

53.91

53.59

53.26

35

36

37

38

39

.8498

.8448

.8398

.8348

.8299

7.076

7.034

6.993

6.951

6.910

52.94

52.62 52.31

52.00

51.69

41

42

43

44

.8251

.8203

.8155

.8109

.8063

6.870

6.830

6.790

6.752

6.713

51.39

51.10 50;80

50.51

50.22

45

46

47 48

49

.8017

.7972

.7927

.7883

.7839

6.675

6.637 6.600

6.563

6.526

49.94

49.65

49.37

49.10

48.82

51

52

53

54

.7796

.7753

.77/1

.7669

.7628

6.490

6.455 6.420

6.385

6.350

48.55

48.29

48.03

47.77

47.50

55

56 57

58

59

.7587

.7547

.75: 7

.7~o :;

.7~22

6.316

6.283

6.249

6.216

6.184

47.25

47.00 46.75

46.50

46.26

.7309 6. j 51 46.02

"' Ce-s',:,'{ . 9'T/cC = 60'

Sp. G', ~ F x 0.999

29

DECIMAL EQUIVALENTS OF 1 INCH

1/64 ..... . . .. __ . ------------.--.- __ .015625

1/3L _ ______________ .03125

3/64 _ _.046875

1/16---__ .0625

5/64 __ .078125

3/3L _ _ .09375

7/64 .109375

1/8 _.125

9/64_________ _ ___.140625

_____ .156255/3L

11/64 _ _.• 171875

3/16---_ _ .1875

13/64_._____ .. __ _ .203125

7/32 .... ._. . . .... _ _ .21875

15/64________ _ ____ .. __ .234375

1/4____________ .250

17/64__________________ .__ __.265625

9/32_____________________________ .28125

19/64. _ ___ .296875

5/16 ____ .3125

21/64-- .__ . . _ __. .328125

I 1/32________________ .34375

23/64 _ ... .. __. .359375

3/L_____________.3 75

25/64 _ ________________.390625

13/32 _ .. . ..40625

27/64_____________________ _ ...... .421875

7/16 .__ .4375

29/64 . _ .453125

15/32 .46875

31/64 _ .. -... -_______________ __ .484375

I/L_ _____.500

33/64 _ _. __.515625

17 /32___________________. .53125

35/64__________ _ ........... ... .546875

9/16.. _ _ .5625

37/64 _ ______.578125

19/32_____________ _ __. .59375

39/64 .. __.609375

5/L_ _______ .625

41/64 _ _.640625

21/3L _.65625

43/64._ ____________ ________.671875

I 1/16 .. .6875

45/64_________ _ _____ . .703125

23/32____________________ •7 1875

47/64__________ _ _ . . . . ._. . .734375

3/4--_________________ ...•750

49/64 .______ _ .765625

25/3L_________________ _ ________ .78125

51/64 _ ____________ .796875

13/16 _ .8125

53/64.. . ._ __________________________________________________.82 8 125

27/32 .. .. .84375

55/64 ... . .. ._ ... .... . ________ .._.859375

________ .875

57/64. ._____ _

7/L

.890625

29/32_____________________________ .90625

59/64 _ _______. .921875

15/16 .•9375_

61/64______________________________________ ..•953 125

31/32 _____________ . .96875

63/64______ __ _ _______ .984375

1 .. _.1.000

30

g ene r a l 0 f fie e a nco - new mexico institute of...

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