Article

Designing a Sucker-Rod Pumping System for Maximum Efficiency

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Abstract

Consideration of the energy requirements in the design of a sucker-rod pumping system is very important. Examples are given that detail how the use of the largest possible pump with the lightest, strongest rod string and special-geometry units can provide a substantial energy reduction. Introduction A number of variables are important in the design of a sucker-rod pumping system. To get the best design for a specific application, each variable must be evaluated in terms of the particular requirements of that specific system. A system that might be ideal for the operating conditions of one area might be a very poor selection for another area with different operating conditions. The importance of the energy requirement is in proportion to the cost of energy. Twenty years ago, proportion to the cost of energy. Twenty years ago, electricity sold for about 0.006/kWhr[0.006/kW-hr [0.002/MJ] and gas for about 0.25/Mcf[0.25/Mcf [0.0088/m3]. The energy bill was so, small that it was not even considered in the design of the system. Because most of the expertise in the design of sucker-rod systems was gained in this era of low energy costs, the impact of energy costs on the system design has been largely ignored. Today, the average cost of electricity is about 0.07/kWhr[0.07/kW-hr [0.019/MJ], and the average lease value of natural gas is about 3.00/Mcf[3.00/Mcf [0.106/m3]. Now the energy bill is usually the largest operating cost item on the lease and has become a very important design consideration. Theoretical Energy Costs A discussion of energy usage and cost should start with hydraulic horsepower. This is the theoretical work that is required to lift the pounds of well fluid from the net depth. The equation for calculating hydraulic horsepower for a fluid weighing 8.34 lbm/gal [999 kg/m3] (specific gravity of 1.0) is Lw h = 33,000 h t q × 42 × 8.34 1 h = Lx ×, h 1,440 33,000 h = 0.00000736 qL, h where h = hydraulic horsepower, h L = net left, ft, w = weight, lbm t = time, minutes, and q = flow rate, B/D. In SI units, W = 0.0001135 qL, h The theoretical hydraulic horsepower to lift 500 B/D [79.49 m3/d] of fluid with a specific gravity of 1.0 from 6,000 ft [1828.8 m] would be 0.00000736 × 500 B/D × 6,000 ft = 22.08 hhp. In kilowatts, 22.08 hhp × 0.746 kW/hp = 16.47 kW. In SI units, 0.0001133 × 79.49 m3/d × 1828.8 m = 16.47 kW. The annual power bill, x, with 0.07/kWhr[0.07/kW-hr [0.019/MJ] electricity would be x = 0.07/kWhr×16.47kW/hr×24hr/D×365D/yr=0.07/kW-hr × 16.47 kW/hr × 24 hr/D × 365 D/yr = 10,100/yr. This is the theoretical cost to do the work of lifting 500 B/D [79.49 m3/d] from 6,000 ft [1828.8 m]. Actual Energy Considerations Polished-rod horsepower starts with this theoretical work at the Polished-rod horsepower starts with this theoretical work at the pump and includes the other downhole requirements of the system: pump and includes the other downhole requirements of the system:the horsepower required to move the sucker-rod string dynamically,the frictional losses between the sucker rods and the tubing,hydraulic frictional losses of the fluid as it flows between rods and tubing, andbottomhole pump losses and inefficiencies. The dynamic horsepower requirements are related to the weight of the sucker-rod string and the pumping speed (strokes per minute times stroke length). The pumping speed for a given stroke length and producing rate is determined primarily by the size of the bottomhole pump. The frictional losses between the sucker rods and the tubing are related principally to fluid viscosity and tubing straightness. The hydraulic flow losses are a function of the producing rate and the annular area between rods and tubing. The bottomhole pump losses are related to the amount of slippage that passes the plunger and valves. The inefficiencies are related to the free gas in the pump from poor gas separation and the volume shrinkage resulting from the gas absorbed in the oil at pump intake pressure and then desorbed at atmospheric pressure.

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... In contrast to these efficiencies, lifting efficiency, η lift , changes in very broad ranges depending on the pumping mode (combination of plunger size, stroke length, and pumping speed) selected. As first proved by Gault (1987) considerable improvements of lifting efficiencies can be realized by the proper selection of the pumping mode. Thus, to achieve maximum power efficiency one must find the pumping mode with the maximum possible value of lifting efficiency. ...
Article
The most decisive constituent of operating expenditures in sucker-rod pumping operations is related to the system's electric power use as most installations are driven by electric motors. Consequently, the reduction of operating costs can be translated to the reduction of energy losses both downhole and on the surface. Therefore, the energy efficiency of the surface and downhole components of the pumping system as well as the overall system efficiency play a big role in maximizing profits. The paper presents a critical analysis of the energy efficiency of the individual components of the sucker-rod pumping system and introduces novel models to find the system's total efficiency. The typical energy losses in the sucker-rod pumping system's main components (the downhole pump, the sucker-rod string, the surface pumping unit, the gearbox, the V-belt drive, and the prime mover) are discussed in detail. It is demonstrated that the level of the pumping unit's counterbalancing as well as any inertial effects do not impact on the net gearbox torques and on the required average mechanical output power of the motor. The energy consumption of the electric motor, however, is affected by the pumping unit's counterbalancing and the inertial effects because of the changes in motor efficiency due its variable loading within the pumping cycle. The system's useful output power is performed by the downhole pump when it lifts the produced liquid to the surface. The paper demonstrates that the so-called hydraulic power, calculated from the increase of the produced liquid's potential energy, is a reliable indicator of the system's useful power. Using the hydraulic power together with the electric power taken from the power supply permits an easy way to assess the over-all energy efficiency of the pumping system. The paper proposes several other variants of system efficiency calculations; they are based on the fact that all components of the pumping system are connected in series to each other. Sizing of electric motors for sucker-rod pumping installations is normally done with the use of a cyclic load factor (CLF) that accounts for the fluctuations in motor load during the pumping cycle. Originally, CLFs were found from the variation of motor current, but mechanical CLFs based on net gearbox torques are much more practical to use. This practice is fully justified in the paper by proving that the correlation between the motor's real current and its net torque loading is nearly linear. It is further shown that the safety of sucker-rod pumping installation design is improved if the electric motor is sized with the use of a mechanical CLF because that case gives the highest required nameplate motor power.
... With the depth of the pump stroke increasing, the stroke loss also increases. If you have no oil pumping technology matching well with deep well, and ultimately the system efficiency will decrease with the increase of depth [7]. Pump parameters and downhole tools should be selected according to the specific conditions of each well, so as to accommodate gas, sand, wax and other well conditions requirements. ...
... • The subsurface sucker rod-driven pump • The sucker rod string • The surface pumping equipment • The power transmission unit • The prime mover It is suggested from studies that optimizing the swabbing parameters is an effective way to enhance the system efficiency of pumping well (Gault, 1987;Lekia and Evans, 1995;Shedid, 2009). Domestic and foreign scholars have made great contribution in designing and optimizing method of the parameters of pumping wells (Han et al., 1995;Mo, 2000;Yao, 2005). ...
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Aiming at the drawbacks of the optimization and design methods and the practical production goal of least energy consumption, a new theory is raised that the gas of the layer released energy in the lifting process including two parts: dissolved-gas expansion energy and free-gas expansion energy. The motor's input power of rod pumping system is divided into hydraulic horse power, gas expansion power, surface mechanical loss power, subsurface loss power. Using the theory of energy-conservation, the simulation model of free-gas expansion power has been established, the simulating models of the motor's input power which are based on the energy method have been improved and the simulation precision of system efficiency has been enhanced. The entire optimization design models have been set up in which the single-well output is taken as the optimum design variable, the planed production of all oil wells in an overall oilfield as the restraint condition and the least input power of the overall oilfield as the object. Synthesizing the optimization design results of the single well and the entire oilfield, the optimal output and the optimal swabbing parameters of all wells can be got. The actual optimizing examples show that the total power consumption designed by the entire optimization method is less 12.95% than that by the single optimization method.
... For example, Takacs (1990) reports lifting efficiencies between 94 and 38%. According to Gault (1987), considerable improvements in lifting efficiencies can be realized by selecting the optimum pumping mode (i.e., the combination of pump size, polished-rod-stroke length, pumping speed, and rodstring design). ...
Article
Two of the most important artificial-lift methods applied in oil wells are sucker-rod pumping (SRP) and electrical submersible pumping (ESP, with thousands of installations all over the world. Their operational features and application ranges are quite different, but in many cases either of them can be used in a given well. The final selection of the proper method has to be on the basis of energy efficiency, and the one requiring the least amount of surface power input is selected. This paper provides the necessary background for evaluating the effectiveness of the two lift methods investigated and for pinpointing the requirements of achieving maximum power efficiency of artificial lifting. The power flow in the pumping system is investigated, and the sources of power losses, along with their usual ranges, are described. The overall power efficiency of the system is defined by a simple formula that provides the necessary insight into the main components of the power losses occurring in different system elements. A thorough investigation of the efficiency components allows one to find the factors that most markedly influence the total system's power requirement. As shown in the paper, the most important requirement for achieving maximum effectiveness is the proper choice of the pumping mode (i.e., the combination of plunger size, stroke length, and pumping speed). The calculation of energy losses in the components of the ESP system is detailed, and the relative importance of the individual losses is shown. Because the components of the ESP system are connected in series, a relatively simple formula can be used to describe the effect of electrical and hydraulic losses on the efficiency of the total system. The terms of the final formula were investigated for their importance and contribution to the overall effectiveness of the ESP system. Results of this investigation provide crucial information that explain how to design an ESP system that provides the highest power efficiency. The practical use of the proposed calculation models is illustrated by presenting an example case where a relatively high liquid rate (1,300 B/D) from the same well is produced by rod pumping and by ESP. Detailed installation designs resulted in several different operation modes for both SRP and ESP. The paper demonstrates that using the latest technologies (e.g., high-strength sucker-rod connections), SRP can compete successfully with ESP installations by attaining higher energy efficiencies.
... For example, Takacs [ 6 ] reports lifting efficiencies between 94% and 38% when producing 500 bpd from 6,000 ft with different pumping modes. As supported by Gault [ 7 ], considerable improvements on lifting efficiencies can be realized by selecting the optimum pumping mode i.e. the combination of pump size, polished rod stroke length, pumping speed, and rod string design. In summary, the basic requirement for achieving high overall system efficiencies is to find the maximum possible value of the lifting efficiency. ...
Article
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Electricity is one of the single largest costs associated with oil and gas production. This cost, however, tends to be overlooked relative to other production costs because of utilities regulation combined with its specialized and noncore technical requirements. In spite of this, several studies and strategies over the years have looked at ways of reducing this cost component with meaningful results. Many of these strategies consist of structuring loads and designing equipment to take advantage of the utilities' regulated rate structure. As the electricity industry in the United States moves toward deregulation, these rate structures will no longer exist; in their place, contracts will be negotiated on a free-market basis between the user and supplier(s) of electricity. In the upcoming deregulated electricity market, three key strategies are available to effectively manage oilfield power costs.Real-time monitoring and control of the electrical load.In-field electricity generation.Negotiation of an integrated power-supply agreement. Because electricity is the ultimate just-in-time product, prices vary greatly depending upon when the power is consumed. The strategies listed previously allow users to proactively structure power supply systems to address the fundamental volatility of the real price of electricity. The effect is to strip out the historic premium paid to the utility to handle the natural volatility of electricity prices by blending load shifting, internal generation, and market purchases. This paper examines different scenarios in which the previous strategies are proposed and makes estimates for potential savings. These solutions use existing technology applied to the changing market environment and, therefore, focus on economic justification as opposed to technology verification. In one such case, the pumping intervals for a collection of wells is adjusted with real time power prices combined with remote operations. This reduces the total cost of electricity consumed per barrel of production while only marginally reducing the actual number of barrels produced. Introduction The cost of electricity has historically been one of the largest operating costs in the production of oil and gas. Additionally, this cost tends to increase over time as the typical oil field ages. Artificial lift, gas compression, water treating, water injection, etc. are installed as the fields age, and all these functions consume an ever-increasing amount of electricity. This increasing electric load trends in the opposite direction from the net oil recovered.1 The result is that electricity costs tend to make up a larger and larger percentage of the field's lifting costs. It is not uncommon to see power costs representing 40 to 50% of total production costs. Although power costs are a major cost component of field profitability, they tend to be overlooked relative to other production costs for the following reasons.The technical skills needed are specialized and not core to the production company.Unlike other suppliers, the utility that provides electricity is a regulated monopoly. The skills necessary to optimize power costs in this kind of environment are not the same as optimizing other, more conventional costs, such as well servicing, treating chemicals, and artificial lift. As a direct consequence of this, most oil operators do not manage their power costs but endure them without taking proactive measures to change undesirable situations.1 In spite of this, several studies have looked at ways of reducing the cost of power with meaningful results. The recommendations from these studies can be divided into three groups.Optimizing mechanical systems.2,3Optimizing electrical systems.3–5Working with the utility to optimize usage against a regulated rate structure.3–6 Examples of Item 1 include balancing pump units, installing pump-off controllers, and modifying the pumping unit's stroke length and speed. Examples of Item 2 include correctly sizing electric motors, correcting power-factor penalties and resultant line losses with capacitor banks, meter consolidation, distribution system optimization and retrofit, and using high-voltage substations. Examples of Item 3 include moving to interruptible or curtailable rate structures, bill verification, demand management, and regulatory intervention. All the approaches mentioned in Items 1 and 2 should be thoroughly researched and implemented to begin any electricity cost-reduction initiative. The approaches examined in Item 3, however, work within a defined and rigid rate and business structure. Operators were encouraged to examine how they were being charged for electricity and to change their behavior to optimize their positions within these relatively rigid price and rate structures. With the advent of deregulation, this area will change radically. Operators must understand how deregulation works in their area and how to best position their company to take advantage of these changes. Deregulation Electric power generation in the United States is changing from a regulated industry to a competitive one.7 Where power generation was once dominated by vertically integrated, investor-owned utilities (IOUs) that held most of the generation capacity, transmission, and distribution facilities, the electric power industry now has many new companies that produce and market wholesale and retail electric power. These new companies are in direct competition with traditional electric utilities. Today, vertically integrated IOUs still produce most of the country's electrical power, but that is changing. The long-standing traditional structure of the industry was based, in part, on the economic theory that electric power production and delivery were natural monopolies and that large, centralized power plants were the most efficient and inexpensive means for producing electric power and delivering it to customers. Large power-generating plants, integrated with transmission and distribution systems, achieved economies of scale and, consequently, lower operating costs than relatively smaller plants could realize. Because of the monopoly structure, federal and state government regulations were developed to control operating procedures, prices, and entry to the industry to protect consumers from potential monopolistic abuses.
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Mainly due to its long history, sucker-rod pumping is a very popular means of arti- ficial lift all over the world, roughly two-thirds of the producing oil wells are on this type of lift. To maximize profits from these wells in the ever-changing economic situa- tion with rising costs of electric power, installation designs must ensure optimum con- ditions. In the paper, basic considerations on ensuring profitable rod pumping opera- tions are given. The key topics of installation design (pumping mode selection, optimum counterbalance, rod string design) are addressed and their role in the improvement of sucker-rod pumping operations and the reduction of lifting costs is discussed. After a review of the surface and downhole energy losses in sucker-rod pumped wells, some key considerations on the ways to improve system efficiency are given. The most important task is the proper selection of the pumping mode, i.e. the combination of plunger size, pumping speed, stroke length, and rod taper design for lifting the pre- scribed amount of liquid to the surface. The best pumping mode maximizes the lifting efficiency and, at the same time, reduces prime mover power requirements and electri- cal costs. The operational efficiency of the surface equipment is improved by using an optimum counterbalancing of the pumping unit. To achieve an ideal sucker-rod pump- ing system the mechanical design of the tapered rod string must be properly made. The paper gives aspects and details of installation design improvements along with practical examples. IMPROVING ENERGY EFFICIENCY In order to increase the profitability of sucker-rod pumping installations, the reduc- tion of operating costs is of prime importance. Since the majority of installations is driven by an electric motor and the cost of electric energy has steadily increased in re- cent years, energy losses both downhole and on the surface must be minimized. After a discussion of the possible sources of energy losses in the rod pumping system, an over- all efficiency formula is derived. An evaluation of this formula allows important con- clusions to be drawn on the most efficient pumping system. Downhole Energy Losses The rod pumping system does its useful work by lifting the given amount of liquid from the well bottom to the surface. The hydraulic power is easily calculated based on the depth of effective lift and the volume of the liquid produced:
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An improved method is presented for the evaluation of performance characteristics and optimum selection of sucker-rod pumping well systems. The procedure is conceptually general for all class I lever (conventional) systems and for the Mark II type of the class III lever systems. The procedure can easily be modified for any kind of special surface pumping unit. This study uses basic sucker-rod theory already presented in the literature. The new approach, however, groups the most important variables affecting the operation of a total sucker rod pumping well system (from the prime mover to the downhole pump) into eleven dimensionless numbers which are used to aid the simulation of performance characteristics and design parameters. The final results consist of design parameters for various rod size-pump depth-production rate combinations from which an optimum pumping mode is selected. The selection of the optimum pumping mode is based on an optimization criterion proposed in this paper. Based on limited specified information on a well being considered for the installation of a rod pumping system, the method presented can be used to select a total sucker rod pumping system that will optimize both production and longevity of all parts of the system. The procedure minimizes the design of incompatible parts that very frequently leads to system failures. For already existing installations, the method furnishes information on pumping speed, counter-balance weight, polished rod stroke, etc., for setting a new optimum operation.
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The occurrence of streaming potentials is directly related to movement of fluids in the subsurface. To investigate whether streaming potential measurements in boreholes and at the surface can be used to monitor subsurface flow and detect subsurface slow patterns in oil reservoirs, the authors model streaming potential responses caused by oil well pumping in monitoring wells and at the earth`s surface. Since the model parameters: permeabilities, cross-coupling properties, and electric conductivities depend on a few basic rock-physics parameters such as brine conductivity, amount of water saturation, and porosity, the model parameters are evaluated self-consistently using rock-physics models. Using a three-dimensional, (3-D) finite-difference algorithm, the governing differential equations that are drawn from nonequilibrium thermodynamics are solved numerically in three self-consistent steps: solution of the hydraulic problem, computation of the streaming current sources based on the principle of conservation of charge, and solution of the resistivity problem.
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A method that considers inertia effects is presented for computing gearbox and motor loading on beam units. Previous methods neglected the inertia torques, which can be important when ultrahigh-slip prime movers are used. The method has practical application in determining the type of prime mover/beam unit combination to be used. Introduction During the past few years, ultrahigh-slip electric motors have been introduced for powering beam pumping units. These prime movers employ inertia effects to diminish equipment loading, particularly on the gearbox and the motor itself. The torque factor method accepted in the API standards does not consider inertia effects and so should not be expected to give correct answers when ultrahigh-slip prime movers are used. To provide a suitable computation prime movers are used. To provide a suitable computation method, two additional terms have been added to the API technique - rotary and articulating inertia torques. To account for inertias, it is necessary to measure instantaneous motor speed, an item previously not required in conventional dynamometer analysis. Once motor speed variations are known, it is possible to account for torsional work and kinetic energy interchanges as the rotary components accelerate and decelerate. Also, the torsional effects related to accelerations of the articulating components, primarily the beam assembly, can be computed. Two methods have been used to evaluate the various moments of inertia required in the analysis. The method most frequently used has been the direct calculation method, based on the engineering drawings of the unit components. The other method infers the moments of inertia by the manner in which the unit coasts to a stop after the motor switch is turned off. Review of Torque Computation Methods Two frequently used methods for inferring gearbox torque from a surface dynamometer card are the API torque factor method and an unnamed technique that is based on surface load range and unit stroke. The API torque factor method is based on the following equation. T = F (Q - Q ) - M sin(0j + ).........(1) The net torque is the difference between the rod load torque and the counterbalance torque. Rod load torque, Fj(Q RL -Q SU), is the product of the torque factor and the polished rod load corrected for structural unbalance of the polished rod load corrected for structural unbalance of the unit. The counterbalance torque, M sin (0 j + beta), opposes the rod load torque with a sinusoidally varying effect with amplitude M. Pumping-unit manufacturers usually publish a set of torque factors vs crank angle. To assist in relating crank angle to stroke position on the measured dynamometer card, corresponding stroke positions in nondimensional form are also published. Position zero refers to the bottom of the unit's stroke and position unity (1.0) denotes the top of the stroke. A sample set of torque factors and positions for a 120-in. unit equipped with a 456,000-in.-lb gearbox is shown in Table 1. A dynamometer card for an example well is shown in Fig. 1. To illustrate the torque factor method, the net torque at a crank angle of 60 degrees is determined as follows. According to Table 1, the crank angle of 60 degrees produces a nondimensional, polished rod position of 0.304 on the upstroke and a torque factor of 61.08 in. The polished rod load at this position is 15,036 lb. JPT P. 1153