Sucker-Rod Pump Efficiency Estimation Using Finite-Difference Algorithm

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Solution Overview

Problem

Existing methods for controlling and estimating the efficiency of sucker-rod pumps in the oil and gas industry are prone to errors due to the elasticity of the sucker-rod string and viscous damping effects, leading to inaccurate measurements of downhole pump operations and pump fillage, which can result in mechanical damage and inefficient fluid production.

Innovation Solution

A method that calculates pump efficiency directly from surface load and displacement data using a finite-difference algorithm to determine the minimum and maximum strokes and transfer point, eliminating the need for a downhole dynamometer card and reducing processing requirements, allowing for precise estimates of pump fillage and fluid production.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Extent of automation

If surface dynamometer cards are used to control sucker-rod pumping systems, then automation and monitoring are improved, but measurement precision deteriorates due to elasticity of the sucker-rod string and viscous damping effects

Engineering Contradiction:
Improveautomation of pumping system controlVSAvoidaccuracy of downhole pump operation measurement
Core Design Contradiction:
Extent of automationVSMeasurement precision

Solution Approach 1:

The patent uses a mathematical model as an intermediary to translate surface measurements into accurate downhole pump performance data. The model accounts for sucker-rod elasticity and viscous damping effects, acting as a mediator between the surface dynamometer card and the actual downhole pump conditions, thereby preserving measurement precision while maintaining automation.

Inventive Principle:
Principle #24Intermediary (Mediator)

Solution Approach 2:

The patent replaces direct mechanical measurement at downhole with a computational approach. Instead of using complex mechanical sensors downhole, it substitutes a mathematical model that processes surface measurements to derive accurate downhole pump stroke and fillage information, eliminating the need for complex downhole mechanical measurement systems.

Inventive Principle:
Principle #28Mechanics substitution (Replace mechanical system)

2Measurement precision

If downhole dynamometer cards are used to improve measurement accuracy, then pump efficiency estimation is improved, but device complexity and processing requirements increase

Engineering Contradiction:
Improveaccuracy of pump fillage measurementVSAvoidcomplexity of downhole measurement system
Core Design Contradiction:
Measurement precisionVSDevice complexity

Solution Approach 1:

The patent extracts the essential measurement information needed for pump efficiency estimation from complex downhole dynamometer card data. By using a mathematical model that processes only the necessary surface measurements, it extracts the critical fillage and stroke information without requiring the full complexity of downhole dynamometer systems.

Inventive Principle:
Principle #2Taking out (Extraction)

Solution Approach 2:

The patent creates a mathematical copy or representation of downhole pump conditions based on surface measurements. Instead of physically measuring downhole parameters directly, it generates a computational model that replicates downhole pump stroke and fillage behavior, providing accurate efficiency estimation without physical downhole sensors.

Inventive Principle:
Principle #26Copying

3Reliability

If pump operations are continuously monitored to prevent pump-off conditions, then reliability is improved, but energy consumption increases

Engineering Contradiction:
Improveprotection against mechanical damageVSAvoidenergy consumption of monitoring system
Core Design Contradiction:
ReliabilityVSUse of energy by moving object

Solution Approach 1:

The system uses the existing surface dynamometer card data that is already being collected for other purposes. By processing this existing data through a mathematical model, the system provides pump-off detection and reliability monitoring without requiring additional sensors or increasing measurement frequency, thereby avoiding extra energy consumption while maintaining reliability.

Inventive Principle:
Principle #25Self-service

Applied Scientific Principles

This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.

Function Achieved in This Case

This approach provides accurate and reliable estimates of pump efficiency and fluid production, reducing the risk of mechanical damage and operational inefficiencies, while enabling automated control of pumping units to prevent pump-off conditions and detect tubing leaks.

Implementation Method 1

the elasticity of the sucker-rod string and viscous damping effects among other operating conditions

Methodology Applied
Scientific EffectElasticity: Elasticity

Implementation Method 2

the elasticity of the sucker-rod string and viscous damping effects among other operating conditions

Methodology Applied
Scientific EffectViscous damping: Viscous Damping

Data Source

PatentUS7500390B2Method for estimating pump efficiency
Publication Date: 2009.03.10 WEATHERFORD TECHNOLOGY HOLDINGS LLC
  • US7500390B2 patent drawing
  • US7500390B2 patent drawing
  • US7500390B2 patent drawing

AI summary

The present invention provides highly accurate methods for directly calculating pump fillage which avoid the need and expense of a pump dynamometer card and subsequent calculations.