SRP Calculator Enhanced for Rotaflex Pumps, Phased-Crank Pumps, and Deviated Wells
Our last issue of Solutions introduced the SRP Calculator, a convenient design tool for analyzing the performance of sucker-rod pumping systems. That initial version of this free online calculator provided quick and easy analysis of Class I (conventional) and Class III (Mark II) pumping-unit geometries applied to vertical wells.
We've made several improvements to the SRP Calculator to allow it to be used with a broader range of artificial-lift applications. Pump total vertical depth has been separated from total rod string length to provide a simple method for estimating the performance of deviated wells. The rod configuration has been expanded with separate entries for tapered rod strings and sinker bars. Tapered rods of up to three sections can be conveniently accommodated. Calculations of rod stress at the top of each section have also been added. The SRP Calculator has also been expanded to include Rotaflex pumping units as well as phased-crank units like the Torque Master, Reverse Mark, or Maximizer II.
The results from the SRP Calculator, the Rodstar program from Theta Enterprises, and actual field test results of a Rotaflex pump are summarized in the table below. Most SRP Calculator Rotaflex calculations are reasonably close to both Rodstar estimates and the actual field test results. The major difference was in the maximum gearbox torque measured in the field. The actual gearbox torque measured in the field includes the effects of motor speed fluctuations, which are not accounted for in Rodstar or the SRP Calculator. In that sense, those two programs make conservative estimates of gearbox torque compared to what is likely to occur in actual installations. The SRP Calculator results shown in the table below also compare reasonably to the Rodstar and API method (RP 11L) calculations for a Reverse Mark phased-crank pumping unit.
The SRP Calculator is not intended to replace the detailed analysis available from commercial rod-pump simulation programs. In many cases, however, detailed analysis is unnecessary and often greatly exceeds the precision of field measurement. Unico's SRP Calculator provides simple well analysis of conventional, air-balanced, phased-crank, Mark II, and Rotaflex pumps to help you decide if a more detailed analysis is required.
Rotaflex Analysis Comparison (8,363 ft. well)
Calculation |
Unico SRP Calculator
|
Theta
Rodstar
|
Unico/
Rodstar
|
Field
Test
|
Unico/
Test
|
Fluid Production Rate (bpd) |
479
|
517
|
-7%
|
493
|
-3%
|
Oil Production Rate (bpd) |
374
|
403
|
-7%
|
385
|
-3%
|
Polished Rod Power (hp) |
33.8
|
36.1
|
-6%
|
35.8
|
-5%
|
Minimum Motor Size (hp) |
50.0
|
50.0
|
0%
|
|
|
Required Balance (in-lb) |
360,364
|
359,700
|
0%
|
357,884
|
+1%
|
Existing Balance Effect (lb) |
21,690
|
21,800
|
-1%
|
21,690
|
0%
|
Required Balance Effect (lb) |
21,840
|
21,800
|
0%
|
21,690
|
+1%
|
Max. Gearbox Torque (in-lb) |
158,828
|
169,000
|
-6%
|
140,800
|
+13%
|
Buoyant Rod Load (lb) |
17,022
|
17,201
|
-1%
|
17,114
|
-1%
|
Maximum Rod Load (lb) |
31,316
|
31,871
|
-2%
|
31,000
|
+1%
|
Minimum Rod Load (lb) |
12,365
|
11,739
|
+5%
|
12,300
|
+1%
|
Upper Section Stress (psi) |
39,550
|
40,452
|
-2%
|
39,148
|
+1%
|
Middle Section Stress (psi) |
37,302
|
37,835
|
-1%
|
|
|
Lower Section Stress (psi) |
31,647
|
30,942
|
+2%
|
|
|
Pump Stroke (in) |
267.52
|
288.00
|
-7%
|
277.0
|
-3%
|
Reverse Mark Analysis Comparison (8,000 ft. well)
Calculation |
Unico SRP Calculator
|
Theta
Rodstar
|
Unico/
Rodstar
|
API
RP 11L
|
Unico/
API
|
Fluid Production Rate (bpd) |
318
|
324
|
-2%
|
331
|
-4%
|
Oil Production Rate (bpd) |
64
|
65
|
-2%
|
66
|
-4%
|
Polished Rod Power (hp) |
25.6
|
26.8
|
-4%
|
21.4
|
+20%
|
Minimum Motor Size (hp) |
50.0
|
50.0
|
0%
|
|
|
Required Balance (in-lb) |
1,719,610
|
1,659,720
|
+4%
|
|
|
Existing Balance Effect (lb) |
22,844
|
23,367
|
-2%
|
|
|
Required Balance Effect (lb) |
21,816
|
21,506
|
+1%
|
21,706
|
+1%
|
Max. Gearbox Torque (in-lb) |
812,028
|
817,000
|
-1%
|
753,406
|
+8%
|
Buoyant Rod Load (lb) |
15,906
|
15,909
|
0%
|
15,636
|
+2%
|
Maximum Rod Load (lb) |
30,578
|
30,550
|
0%
|
28,007
|
+9%
|
Minimum Rod Load (lb) |
10,456
|
10,043
|
+4%
|
10,389
|
+1%
|
Upper Section Stress (psi) |
38,689
|
38,770
|
0%
|
|
|
Middle Section Stress (psi) |
36,922
|
34,818
|
+6%
|
|
|
Lower Section Stress (psi) |
35,103
|
31,334
|
+12%
|
|
|
Tubing Stretch (in) |
1.07
|
1.10
|
-3%
|
1.10
|
-3%
|
Pump Stroke (in) |
124.61
|
130.00
|
-4%
|
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.
Embedded Well Control Taps the Potential of Rotaflex Pumping Units
Unico's Sucker-Rod Pump (SRP) control software has been engineered to tap the potential of Rotaflex artificial-lift systems. Rotaflex pumping units are typically used on deep or gassy wells because of their long, slow strokes. In addition to modeling Rotaflex geometry, the software offers a host of sophisticated features designed to increase efficiency, boost production, and extend equipment life. The software, which is embedded within a Unico drive, provides a racetrack mode, automatic corner anticipation, sensorless surface and downhole dynamometer graphs, pump fill detection and control, gearbox torque protection, and more.
The innovative racetrack mode and automatic corner anticipation features work hand-in-hand to optimize each stroke. Racetrack mode controls the speed of the upstroke, downstroke, and cornering portions of a cycle independently, allowing the pump to speed up during the straight portions and slow down while cornering to protect the pumping system. While Rotaflex units are typically geared to run at a constant 4.5 spm at 1,150 rpm base speed, Unico's constant-power control extends the motor speed range beyond base speed to 1,750 rpm (6.8 spm) during the upstroke and downstroke straight sections. Since the Rotaflex unit is physically limited to 4.5 spm in the corner, the controller anticipates the corner by automatically slowing the motor to the preset cornering speed at the appropriate time. In this example, racetrack mode increased the average pumping speed to 6.0 spm, resulting in a 33% increase in production. Given typical inflow and motor torque limitations, more modest production increases of 10% to 15% are commonly obtained.
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