Research Concerning the Use of Polynomial Functions in the Study of the Conventional Sucker Rod Pumping Units

Abstract

The analysis of the conventional sucker rod pumping units and especially their dynamics is laborious and requires a large amount of calculations due to the constructive complexity of the component structural elements. Therefore, expressing in a simplified but sufficiently precise form the various cinematic and dynamic parameters that characterize the proper functioning of the pumping units is extremely useful in analyzing the possibilities of their functional optimization. In the paper are presented a series of results concerning the expressing of some cinematic and dynamic parameters using polynomial functions in the case of the mechanism of a C-640D-305-120 pumping unit. The simulations have been performed with a computer program developed by the author using Maple programming environment. Experimental records processing was performed with the program Total Well Management.

Research Concerning the Movement Equation of the Mechanism of the Conventional Sucker Rod Pumping Units

“…In figure 8 is presented the variation of the reduced moment M g red . The curve 1 represents the variation obtained by applying the relation (6) and the curve 2 corresponds to the variation of the reduced moment M g red obtained using the relation (10) with the records concerning the variation of the force at the polished rod, of the motor moment at the crankshaft and of the angular speed of the cranks during the stroke 70. It can be noted the differences that appear around the values of the crank angles ϕ 1d and ϕ 1a (especially around the value of the crank angle ϕ 1a ), where large variations of the recorded values of the angular speed of the cranks occur in short time intervals ( fig.…”

“…The analysis of the conventional pumping installations in order to improve their operation requires the completion of complex studies both on the level of the sucker rods pumping column and also concerning the surface equipment, especially the pumping unit mechanism [1][2][3][4][5][6][7][8]. Regarding the mechanism of the pumping units, from the perspective of their dynamics, the study of the movement equation is extremely important for highlighting the dynamic response to the motor and resistant actions on the component elements [9][10].…”

Research Concerning the Simulation of the Operation of Conventional Sucker Rod Pumping Units

“…It is well known that conventional sucker rod pumping units are used intensively in oil extraction, so the study of their optimal operation represents a topical issue [1][2][3][4][5][6][7][8][9][10]. On the other hand, the study of the kinematics and dynamics of the mechanism of these pumping units is part of a broader issue specific to the theory of mechanisms and machines [11][12][13][14][15][16][17][18][19].…”

Research Concerning the Dynamic Model of the Conventional Sucker Rod Pumping Units

“…Modeling the dynamics of the conventional sucker rod pumping installations represents an issue of study of prime importance for their optimal design [1][2][3][4][5][6][7][8][9]. In this scope the study of the dynamic model, namely determining the variation on the cinematic cycle of the synthesis parameters (the reduced moment and the reduced mass moment of inertia) and the variation of the angular speed of the cranks may lead to a better understanding of the influence of various functional or constructive parameters on the behavior of the sucker rod pumping installations in service [10][11][12][13][14][15].…”