Wellbore Fluid Flow Simulation Using Discontinuous Galerkin Method
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Solution Overview
Problem
Current methods for assessing fluid flow in wellbores are inadequate in accurately modeling complex geometries and discontinuities, leading to instability and inaccuracies in predicting fluid flow conditions, especially at perforations and area changes.
Innovation Solution
A system and method that utilize a numerical model, specifically a discontinuous Galerkin method, to simulate fluid flow through wellbores by discretizing the conservation of mass equation and applying a penalty term, accounting for fluid velocity divergence, to determine fluid flow conditions at boundary locations and perforations, and calculating mass flow rates based on perforation size, fluid density, and pressure differences.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If traditional numerical methods are used to model fluid flow in wellbores, then the modeling process is simpler, but the accuracy and stability of predicting fluid flow conditions at perforations and area changes deteriorates
Solution Approach 1:
The wellbore is divided into multiple segments or control volumes, with special refinement at discontinuity locations such as perforations and area changes. This segmentation allows the complex flow phenomena to be captured locally while maintaining a manageable overall model structure, resolving the contradiction between accuracy and complexity.
Solution Approach 2:
The numerical model applies different levels of discretization and computational precision to different regions of the wellbore. High-resolution modeling is applied specifically at discontinuity locations where accuracy is critical, while coarser modeling is used in uniform sections, thus achieving high accuracy without proportionally increasing overall complexity.
2Stability of the object's composition
If traditional methods are used to assess fluid flow, then the computational approach is less complex, but the stability of the model deteriorates at discontinuities
Solution Approach 1:
The model incorporates preliminary considerations of discontinuities by pre-defining control volumes and boundary conditions at suspected discontinuity locations before running the simulation. This preliminary structuring prevents numerical instabilities from developing during the computation, achieving stability without requiring complex adaptive algorithms.
Solution Approach 2:
The patent introduces intermediate control volumes and penalty terms as mediators between the governing equations and the discontinuities. These intermediaries smooth the transition across discontinuities and prevent numerical oscillations, providing model stability while maintaining a relatively straightforward numerical framework.
3Measurement precision
If detailed modeling of perforations and area changes is implemented, then the accuracy of fluid flow conditions improves, but the computational complexity increases
Solution Approach 1:
The wellbore is divided into multiple segments or control volumes, with special refinement at discontinuity locations such as perforations and area changes. This segmentation allows the complex flow phenomena to be captured locally while maintaining a manageable overall model structure, resolving the contradiction between accuracy and complexity.
Solution Approach 2:
The numerical model applies different levels of discretization and computational precision to different regions of the wellbore. High-resolution modeling is applied specifically at discontinuity locations where accuracy is critical, while coarser modeling is used in uniform sections, thus achieving high accuracy without proportionally increasing overall complexity.
Data Source
AI summary
Techniques for evaluating a fluid flow through a wellbore include identifying an input characterizing a fluid flow through a wellbore; identifying an input characterizing a geometry of the wellbore; generating a model of the wellbore based on the inputs characterizing the fluid flow and the geometry of the wellbore; simulating the fluid flow through the wellbore based on evaluating the model with a numerical method that determines fluid flow conditions at a first boundary location uphole and adjacent to a perforation of a plurality of perforations in the wellbore and at a second boundary location downhole and adjacent to the perforation; and preparing, based on the fluid flow conditions determined with the numerical method, an output associated with the simulated fluid flow through the wellbore for display to a user.