Original SPE manuscript received for review April 7, 1991. Revised manuscript received Aug. 3, 1994. Paper accepted for publication Dec. 8, 1993. Paper (SPE 30169) first presented at the 1991 SPE Production Operations Symposium held in Oklahoma City, April 7-9. SPE Production & Facilities, February 1995.
Equations for predicting the behavior of sucker-rod pumping systems including the coupled dynamic effects of rod and fluid motion and kinematics of the surface pumping unit which were presented in Part I of this two-part paper series. These equations are used together with complementary sucker-rod system predictive formulas for parametric studies in this paper. Example problems are used to investigate the effects of well and fluid parameters on sucker-rod design parameters and the results are compared against calculations using the API Bulletin 11L3.
This paper presents the predictive formulas which complement the composite rod and fluid dynamic models that were developed by Lekia and presented by Lekia and Evans. Parametric studies by means of example problems are also presented in this paper. The models which are presented in References 1 and 2 integrate all sucker-rod pumping well components; namely, (1) the prime mover, (2) the speed (gear) reducer, (3) the surface pumping unit, (4) the sucker-rod string, (5) the well fluid column, (6) the subsurface sucker-rod-driven pump, and (7) the necessary strings of tubing and/or casing within which the sucker rods and the downhole pump operates and through which the fluid is pumped.
This paper catalogues the relevant predictive formulas which complement the new coupled rod and fluid dynamic models of Reference 2. These predictive formulas have been presented by other authors who solved the dynamic rod string with static point mass representation of the fluid column. This paper presents results generated and analyzed for example problems designed to demonstrate the validity and use of the new models.
Predictive Formulas For Systems Design Parameters
The predictive formulas below are included for readers interested in reproducing some of the results presented and discussed in this paper. All the formulas are taken from an appropriate section of Ref. 1.