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Oil & Gas Automation
Solutions
is a publication
of Unico, Inc.

Since 1967

Unico, Inc.
3725 Nicholson Rd.
P. O. Box 0505
Franksville, WI
53126-0505
262.886.5678
262.504.7396 fax
oilgas@unicous.com
unicous.com

New Sucker-Rod Pumping System Design Calculator Provides Free, Convenient Analysis On-Line

Unico has developed a convenient design tool for analyzing sucker-rod pumping (SRP) system performance. The SRP Calculator™ is available on-line free of charge and provides a quick, easy analysis for many systems.

Sucker-rod pumping systems involve complex dynamic relationships between production rates and stresses at various points within the unit. As a result, numerous calculations are required to optimize the effectiveness of these types of systems. The popularity of rod-pump systems has lead to a variety of methods for analyzing their performance.

In 1954, a group of users and manufacturers undertook a study of sucker-rod pumping systems. Their results eventually led to the publication of Recommended Practice for Design Calculations for Sucker Rod Pumping Systems (RP 11L) in 1988 by the American Petroleum Institute (API). This publication set the standard for analyzing rod pumps until recently, when personal computer calculation programs, such as Theta Enterprises' Rodstar and others, became available.

These PC-based analysis programs generally include an extensive database of pumping units and rod-string components. They are capable of analysis that correlates to actual field measurements with amazing precision. In many situations, however, this precision is unnecessary, and often it greatly exceeds what can be measured at the well site.

Unico's SRP Calculator™ satisfies the need for simple well analysis. It can be used to quickly analyze well performance to determine if a more detailed analysis is necessary.

Input and output variables generally follow those provided for the API publication and commercial analysis programs. The API method suffers from the fact that it does not account for performance differences between Class I (conventional) and Class III (Mark II) geometries. While rod loads may be similar between the two types of pumping units, there is a significant reduction in Class III gearbox torque relative to the Class I geometry.

Several parameters were added to the API method that improve the agreement between the SRP Calculator™ and commercially available analysis programs. A comparison of the features of the various rod-pump analysis tools is given below.

Analysis Tool Feature Comparison

Parameter
API
Method RP 11L
Unico
SRP Calculator™
Theta
Rodstar
Pumping Speed
Constant speed
Constant speed
Allows variation
Fluid Level
Zero
Selectable
Selectable
Water Cut
None
Selectable
Selectable
Water Specific Gravity
None
Selectable
Selectable
Oil API Specific Gravity
Fixed
Selectable
Selectable
Fluid Inertia Effects
None
None
Selectable
Tubing Pressure
Zero
Selectable
Selectable
Casing Pressure
Zero
Selectable
Selectable
Pump Depth
Selectable
Selectable
Selectable
Plunger Diameter
Selectable
Selectable
Selectable
Pump Efficiency
100%
Selectable
Selectable
Pump Fill
100%
Selectable
Selectable
Tubing Size
Selectable
Selectable
Selectable
Tubing Anchor
Fixed
Selectable
Selectable
Stuffing Box Friction
Zero
Selectable
Selectable
Pump Friction
Zero
Selectable
Selectable
Pumping Unit Type
Class I
Class I or III
Class I or III
Rotation Direction
Fixed
Fixed
CW or CCW
Pumping Unit Stroke
Selectable
Selectable
Unit database
Unbalanced Force
Zero
Selectable
Unit database
Articulating Inertia
Zero
Zero
Unit database
Balance Moment
Ideal
Selectable
Selectable
Prime Mover Type
None
AC Motor
Selectable
Rod String Sections
Four
Three
Eight
Rod String Material
Steel
Steel
Steel or Fiberglass
Rod String Type
Continuous
Coupled or Corod
Rod database
Sinker Bars
None
None
Selectable
Buoyant Rod Load
Calculated
Calculated
Calculated
Fluid Column Load
Calculated
Calculated
Calculated
Maximum Rod Load
Calculated
Calculated
Calculated
Minimum Rod Load
Calculated
Calculated
Calculated
Required Balance
Calculated
Calculated
Calculated
Max. Gearbox Torque
Calculated
Calculated
Calculated
Polished Rod Power
Calculated
Calculated
Calculated
Fluid Production
Calculated
Calculated
Calculated
Dynamometer Card
None
None
Displayed
Gearbox Torque Plot
None
None
Displayed

The results of the SRP Calculator™, the Rodstar program, and the API RP 11L method are compared below for both Class I and Class III well examples. The relative error of most of the SRP Calculator™ calculations, which use some simplifying assumptions, is 10% or less, with many being within 5%. The only significant difference between the SRP Calculator™ and the Rodstar program occurs with the minimum motor size, for which the Unico program was able to select a smaller motor on the Class III pump. A number of results fall between those estimated by the Rodstar program and the API method. Additional care should be taken with values that fall to one side or another of both other methods. Generally, the SRP Calculator™ provides somewhat better results for Class I than Class III pumping units.

Analysis Comparison (Class I Example)

 Calculation
Unico SRP Calculator
Theta
Rodstar
Unico/
Rodstar
API
Unico/
API
Fluid Production Rate (bpd)
323
331
-2%
331
-2%
Oil Production Rate (bpd)
65
66
-2%
66
-2%
Polished Rod Power (hp)
26.1
27.7
-6%
21.4
+22%
Minimum Motor Size (hp)
60.0
60.0
0%
Required Balance (in-lb)
1,878,714
1,920,570
-2%
Existing Balance Effect (lb)
23,557
23,407
+1%
Required Balance Effect (lb)
22,129
22,418
-1%
21,706
+2%
Max. Gearbox Torque (in-lb)
977,751
1,007,000
-3%
753,406
+30%
Buoyant Rod Load (lb)
15,696
15,942
-2%
15,636
0%
Maximum Rod Load (lb)
30,716
31,266
-2%
28,007
+10%
Minimum Rod Load (lb)
10,541
10,446
+1%
10,389
+1%
Tubing Stretch (in)
1.07
1.10
-3%
1.10
-3%
Pump Stroke (in)
126.46
129.00
-2%
128.30
-1%

Analysis Comparison (Class III Example)

 Calculation
Unico SRP Calculator
Theta
Rodstar
Unico/
Rodstar
API
Unico/
API
Fluid Production Rate (bpd)
318
331
-4%
331
-4%
Oil Production Rate (bpd)
64
66
-4%
66
-4%
Polished Rod Power (hp)
25.6
27.9
-8%
21.4
+20%
Minimum Motor Size (hp)
50.0
60.0
-20%
Required Balance (in-lb)
2,087,616
2,175,160
-4%
Existing Balance Effect (lb)
21,958
21,197
+4%
Required Balance Effect (lb)
22,920
23,525
-3%
21,706
+6%
Max. Gearbox Torque (in-lb)
763,923
801,000
-5%
753,406
+1%
Buoyant Rod Load (lb)
15,695
15,941
-2%
15,636
0%
Maximum Rod Load (lb)
30,299
30,713
-1%
28,007
+8%
Minimum Rod Load (lb)
10,209
9,336
+9%
10,389
-2%
Tubing Stretch (in)
1.07
1.10
-3%
1.10
-3%
Pump Stroke (in)
124.53
129.00
-3%
128.30
-3%

Give the SRP Calculator™ a try at www.unicous.com/oilgas/srpcalc.php and let us know what you think. We would appreciate any feedback that can make this tool more useful for you. Check future issues of Solutions or our Web site for enhancements to the SRP Calculator™ as well as other new artificial-lift design tools. You may also want to inquire about our artificial-lift drive systems that incorporate complete dynamic analysis, including dynamometer cards and gearbox torque plots.

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In Future Issues...

Look for the following articles in upcoming issues of Oil & Gas Automation Solutions:

Taking advantage of utility rate structures to reduce artificial-lift energy costs
Unico drives plot and control pump fill using inferred downhole dynamometer graphs
Power loss components in a typical rod pumping system
A novel way of conceptualizing the effectiveness of artificial lifts
Reducing power consumption and improving power factor of beam pumps
Detecting PCP stick/slip oscillations that fatigue rod-string couplings and reduce energy efficiency
Embedded well control is engineered for compatibility with
Rotaflex® units

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