Predicting the Behavior of Sucker-Rod Pumping Systems

Gibbs, S.G.

doi:10.2118/588-pa

Cited by 170 publications

(91 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…According to Takács (2002), although these losses are derived from several varieties of complex phenomena, the effects are commonly considered to be of a viscous nature only. Gibbs (1963) stated that the damping factor is defined as ߫ = ‫,)ܮ2(/ܿܽߨ‬ where c is the dimensionless damping factor, which can be found through field measurements, and L is the length of the rod string.…”

Section: Mathematical Modelmentioning

confidence: 99%

“…(ii) On the subsurface and at the operational conditions of the pump, Gibbs (1963) is represented by…”

Section: Mathematical Modelmentioning

confidence: 99%

“…La sarta de varillas se comporta como una barra esbelta, donde la propagación de las ondas elásticas es representada por una ecuación unidimensional y trascendente, la cual fue propuesta por Gibbs (1963), así mismo, el método de diferencias finitas permite obtener la solución numérica de dicha ecuación. En este trabajo, se explica la metodología para la implementación de un código computacional académico, que permite simular el movimiento alternativo de la sarta de varillas descrita matemáticamente por la ecuación de las ondas de Gibbs.…”

Section: Introductionunclassified

“…However, it is mathematically hardened by the elastic behavior of the rod string, which makes the course of the plunger different from the course of the polished rod on the surface. Gibbs (1963) proposed the first model for the dynamic behavior of the rod string as a boundary value problem for a wave equation. This was described by Gibbs in analyzing active forces in the rod string.…”

Section: Introduction 123mentioning

confidence: 99%

“…Este sistema, puede ser entendido mediante la simulación numérica del comportamiento de la sarta de varillas, que conecta la superficie con la bomba en el subsuelo. En el pasado, el comportamiento elástico de la sarta de varillas era difícil de modelar, sin embargo, desde 1960 con el surgimiento de los computadores digitales este proceso fue facilitado.La sarta de varillas se comporta como una barra esbelta, donde la propagación de las ondas elásticas es representada por una ecuación unidimensional y trascendente, la cual fue propuesta por Gibbs (1963), así mismo, el método de diferencias finitas permite obtener la solución numérica de dicha ecuación. En este trabajo, se explica la metodología para la implementación de un código computacional académico, que permite simular el movimiento alternativo de la sarta de varillas descrita matemáticamente por la ecuación de las ondas de Gibbs.…”

unclassified

See 4 more Smart Citations

Numerical simulation of the sucker-rod pumping system

Romero¹,

Almeida²

2014

ing.inv.

View full text Add to dashboard Cite

The sucker rod pump is an artificial lift method frequently applied in onshore petroleum wells. This system can be described using a numerical simulation based on the behavior of a rod string. In the past, the elastic behavior of the rod string made it difficult to model the system. However, since the 1960s and with the advent of digital computers, it has been modeled numerically. The rod string behaves like a slender bar, and thus, the propagation of elastic waves along the bar can be represented by a one-dimensional equation. Gibbs (1963) presented a mathematical model based on the wave equation, which is described on the basis of the analysis of forces on the rod string and is incorporated into a boundary value problem involving partial differential equations. The use of the finite difference method allows for a numerical solution by the discretization of the wave equation developed in the mathematical formulation with appropriate boundary and initial conditions. This work presents a methodology for implementing an academic computer code that allows simulation of the upstroke and downstroke motion of the rod string described by the wave equation under ideal operating conditions, assuming a harmonic motion of the rod at one end and downhole pump at the other end. The goal of this study is to generate the downhole dynamometer card, an important and consolidated tool that controls the pump system by diagnosing operational conditions of the downhole pump.Keywords: Rod string, sucker rod pump, dynamometer cards, petroleum artificial lift, finite difference method. RESUMENEl bombeo mecánico es un método de elevación artificial, utilizado principalmente en campos terrestres. Este sistema, puede ser entendido mediante la simulación numérica del comportamiento de la sarta de varillas, que conecta la superficie con la bomba en el subsuelo. En el pasado, el comportamiento elástico de la sarta de varillas era difícil de modelar, sin embargo, desde 1960 con el surgimiento de los computadores digitales este proceso fue facilitado.La sarta de varillas se comporta como una barra esbelta, donde la propagación de las ondas elásticas es representada por una ecuación unidimensional y trascendente, la cual fue propuesta por Gibbs (1963), así mismo, el método de diferencias finitas permite obtener la solución numérica de dicha ecuación. En este trabajo, se explica la metodología para la implementación de un código computacional académico, que permite simular el movimiento alternativo de la sarta de varillas descrita matemáticamente por la ecuación de las ondas de Gibbs. De esta manera, se consideran como condiciones de entorno: el movimiento armónico en la superficie y la presencia de la bomba de fondo en el subsuelo, en condiciones ideales de operación. Finalmente, el objetivo es obtener la carta dinamométrica de fondo, que es una importante y consolidada herramienta de control y diagnóstico para las condiciones operacionales de la bomba de fondo.Palabras clave: sarta de varillas, bombeo mecánico, carta dinamométrica, ele...

show abstract

Section: Mathematical Modelmentioning

confidence: 99%

“…(ii) On the subsurface and at the operational conditions of the pump, Gibbs (1963) is represented by…”

Section: Mathematical Modelmentioning

confidence: 99%

Section: Introductionunclassified

Section: Introduction 123mentioning

confidence: 99%

unclassified

See 3 more Smart Citations

Numerical simulation of the sucker-rod pumping system

Romero¹,

Almeida²

2014

ing.inv.

View full text Add to dashboard Cite

show abstract

A novel hybrid efficiency prediction model for pumping well system based on MDS–SSA–GNN

Ma,

Dong

2024

Energy Science & Engineering

View full text Add to dashboard Cite

The prediction of the efficiency of oil well pumping systems plays an important role in optimizing the energy efficiency parameters of these systems. Currently, the prediction of oil well pumping system efficiency relies primarily on mechanistic models, but these models are often overly complex in predicting efficiency. Some researchers have attempted to use deep learning to predict system efficiency, but due to insufficient consideration of influencing factors and the causal relationships between these factors and system efficiency, they often include irrelevant variables as influencing factors, leading to less accurate prediction models. In this paper, a hybrid model (MDS–SSA–GNN) is proposed for the prediction of pumping well system efficiency. The model consists of six parts: Pearson's product moment correlation coefficient (PPMCC), multidimensional scaling (MDS) transform, maximum–minimum normalization, sparrow optimization algorithm (SSA), graph neural network (GNN), and maximum–minimum inverse normalization. First, the size of the correlation coefficient between each influencing factor and the system efficiency is quantitatively calculated by using PPMCC. Second, the main influencing factors are downscaled by using MDS and normalized based on the principle of maximum–minimum normalization. Third, the GNN algorithm is used for the prediction of the pumping unit system efficiency, and the SSA algorithm is used for the optimization of the initial values of the network parameters. Finally, the prediction results are obtained by the maximum–minimum antinormalization. To validate the model's accuracy, this study randomly selected 100 actual oil wells for comparative analysis and analyzed the impact of structural parameters of the hybrid algorithm on the prediction accuracy of system efficiency. The analysis results demonstrate that the proposed model can effectively predict system efficiency and has a certain role in improving the accuracy of oil well pumping system efficiency predictions.

show abstract

A Uniform and Reduced Mathematical Model for Sucker Rod Pumping

Liu

Tong

Liu

2004

Computational Science - ICCS 2004

View full text Add to dashboard Cite

Abstract. The dynamic mathematical models were greatly developed to describe the motion of the sucker-rod pumping system since 1960s and various mathematic models based on different assumptions were presented. This paper does a study in three sides. First, a mathematical model is presented to describe the sucker-rod string with longitudinal and transverse vibrations, and coupled with longitudinal vibration of the tubing and fluid columns in a deviated well. Second, the relations of several kinds of mathematical models in sucker-rod pumping systems are discussed, and the model made in this paper, when based on different assumptions, can become different models made by people these years, which are presented in important references. Third, a method of characteristics is used to transform the set of partial differential equations which describe the vibration of the sucker-rod string, and coupled with vibrations of tubing and liquid columns in the sucker-rod pumping system. Through the transformation, a diagonal partial differential equations set is obtained. Hence a relatively complex model is transformed into a reduced model which is easy to solve. This model has basic meaning for using the technique of pattern recognition to make automatic diagnosis of sucker rod pumping system.

show abstract

Predicting the Behavior of Sucker-Rod Pumping Systems

Cited by 170 publications

References 0 publications

Numerical simulation of the sucker-rod pumping system

Numerical simulation of the sucker-rod pumping system

A novel hybrid efficiency prediction model for pumping well system based on MDS–SSA–GNN

A Uniform and Reduced Mathematical Model for Sucker Rod Pumping

Contact Info

Product

Resources

About