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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