Foam-Drainage Gas Wellbore Friction Calculation for Pressure-Drop Prediction

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Solution Overview

Problem

Existing methods fail to accurately calculate wellbore friction resistance in foam drainage gas production wells, leading to ineffective prediction of wellbore pressure drop and suboptimal process parameters.

Innovation Solution

A method is developed to calculate wellbore friction resistance in foam drainage gas production wells by considering liquid phase parameters and foaming agent concentration, using the Mukherjee & Brill model, and introducing a new calculation formula that includes polynomial coefficients for friction resistance and gas velocity at the zero friction resistance point.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Ease of manufacture

If the conventional two-phase friction resistance coefficient calculation method (Jain formula) is used, then the calculation process is simple, but the calculation accuracy of wellbore friction resistance is insufficient

Engineering Contradiction:
Improvecalculation simplicityVSAvoidfriction resistance calculation accuracy
Core Design Contradiction:
Ease of manufactureVSMeasurement precision

Solution Approach 1:

The patent modifies the conventional two-phase friction resistance coefficient calculation by introducing a liquid phase parameter correction term. The friction resistance coefficient is transformed from the standard Jain formula to a new form that includes an additional parameter representing the liquid phase's influence, thereby improving accuracy while maintaining computational feasibility

Inventive Principle:
Principle #35Parameter changes

Solution Approach 2:

The patent introduces an intermediate parameter (liquid phase parameter) that mediates between the conventional two-phase flow model and the actual foam drainage conditions. This intermediate parameter serves as a bridge to account for the complex interaction between foam and liquid phases without requiring a completely new theoretical framework

Inventive Principle:
Principle #24Intermediary (Mediator)

2Device complexity

If the assumption that foam stably fills the wellbore is made, then the model is simplified, but the model accuracy is reduced due to inconsistency with actual wellbore flow conditions

Engineering Contradiction:
Improvemodel complexityVSAvoidpressure drop prediction accuracy
Core Design Contradiction:
Device complexityVSMeasurement precision

Solution Approach 1:

The patent transitions from a static assumption of stable foam filling to a dynamic model that accounts for varying flow conditions. The new model incorporates the liquid phase parameter that dynamically adjusts the friction resistance calculation based on actual flow regime changes, making the model adaptable to real wellbore conditions while maintaining reasonable complexity

Inventive Principle:
Principle #15Dynamics

3Ease of manufacture

If the conventional two-phase flow pressure drop model is used, then the calculation method is established, but it cannot accurately characterize the wellbore friction resistance of foam drainage gas production wells

Engineering Contradiction:
Improvecalculation method availabilityVSAvoidfriction resistance characterization accuracy
Core Design Contradiction:
Ease of manufactureVSReliability

Solution Approach 1:

The patent extends the conventional two-phase flow model by introducing a liquid phase parameter that specifically addresses the foam drainage condition. This parameter modification allows the existing calculation framework to be adapted for foam-liquid mixed flow, improving reliability without requiring a complete model replacement

Inventive Principle:
Principle #35Parameter changes

Solution Approach 2:

The patent treats the foam-liquid mixture as a composite flow system, where the liquid phase parameter represents the secondary phase influence on the primary foam flow. This composite approach allows the model to account for the complex interaction between foam and liquid phases while building upon the established two-phase flow theoretical foundation

Inventive Principle:
Principle #40Composite materials

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

The method provides accurate prediction of wellbore pressure drop and optimizes process parameters, enhancing the efficiency and longevity of foam drainage gas production wells.

Implementation Method 1

uses a foaming agent to mix with the gas and liquid in the wellbore to form foam, thereby inhibiting the liquid from sliding down during the flow of the wellbore fluid

Methodology Applied
Scientific EffectFoam formation: Foam

Data Source

PatentUS12398640B2Method for calculating wellbore friction resistance of foam drainage gas production well
Publication Date: 2025.08.26 SOUTHWEST PETROLEUM UNIV
  • US12398640B2 patent drawing
  • US12398640B2 patent drawing

AI summary

The present disclosure provides a method for calculating wellbore friction resistance of a foam drainage gas production well. It is based on the conversion of the parameters of the gas-liquid two-phase flow Mukherjee & Brill model, it defines the liquid film reversal point as the zero friction resistance point, ignores the influence of the negative value of friction resistance, and uses this as a starting point to predict the change of friction resistance. The influence of liquid phase parameters and foaming agent concentration is taken into account in the friction resistance coefficient. An effective calculation method is obtained by combining the experimental data fitting and optimization. The present disclosure better characterizes the wellbore flow condition of the foam drainage gas production well, and provides important theoretical support for the prediction of the wellbore pressure drop of the foam drainage gas production well.