Quadrilateral mesh optimisation method based on swarm intelligence optimisation

Abstract As oil and gas exploration advances, the growing complexity of geological conditions demands higher-quality quadrilateral meshes for spectral element method-based seismic simulations. For complex geological models, existing quadrilateral meshing algorithms struggle to generate high-quality...

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Main Authors: Fen Zhang, Jiuyun Tian, Panpan LV, Kaiyun Luo, Yonggu Huang, Shaohui Yang, Fei Deng
Format: Article
Language:English
Published: Nature Portfolio 2025-07-01
Series:Scientific Reports
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Online Access:https://doi.org/10.1038/s41598-025-11071-1
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author Fen Zhang
Jiuyun Tian
Panpan LV
Kaiyun Luo
Yonggu Huang
Shaohui Yang
Fei Deng
author_facet Fen Zhang
Jiuyun Tian
Panpan LV
Kaiyun Luo
Yonggu Huang
Shaohui Yang
Fei Deng
author_sort Fen Zhang
collection DOAJ
description Abstract As oil and gas exploration advances, the growing complexity of geological conditions demands higher-quality quadrilateral meshes for spectral element method-based seismic simulations. For complex geological models, existing quadrilateral meshing algorithms struggle to generate high-quality meshes that meet the spectral element method’s requirements, often producing initial meshes with topological errors or concave elements, which compromise simulation accuracy. To address this, we propose a swarm intelligence-based secondary optimisation method, employing particle swarm optimisation (PSO), wolf pack algorithm (WPA), and firefly algorithm (FA) to iteratively refine distorted nodes. Results demonstrate that all three algorithms eliminate initial mesh defects, with WPA achieving the highest mesh quality, PSO exhibiting the fastest convergence, and FA performing least effectively. The optimised meshes meet the high-quality standards of the spectral element method, significantly improving simulation stability and computational efficiency, and laying a foundation for the further application of the spectral element method in seismic exploration.
format Article
id doaj-art-763515d6021f463d8a8774b2e8c8e6e5
institution Kabale University
issn 2045-2322
language English
publishDate 2025-07-01
publisher Nature Portfolio
record_format Article
series Scientific Reports
spelling doaj-art-763515d6021f463d8a8774b2e8c8e6e52025-08-20T03:45:57ZengNature PortfolioScientific Reports2045-23222025-07-0115112010.1038/s41598-025-11071-1Quadrilateral mesh optimisation method based on swarm intelligence optimisationFen Zhang0Jiuyun Tian1Panpan LV2Kaiyun Luo3Yonggu Huang4Shaohui Yang5Fei Deng6College of Computer Science and Cyber Security, Chengdu University of TechnologyCollege of Computer Science and Cyber Security, Chengdu University of TechnologyAcquisition Technology Institute, BGP Inc., CNPCAcquisition Technology Institute, BGP Inc., CNPCCollege of Computer Science and Cyber Security, Chengdu University of TechnologyCollege of Computer Science and Cyber Security, Chengdu University of TechnologyCollege of Computer Science and Cyber Security, Chengdu University of TechnologyAbstract As oil and gas exploration advances, the growing complexity of geological conditions demands higher-quality quadrilateral meshes for spectral element method-based seismic simulations. For complex geological models, existing quadrilateral meshing algorithms struggle to generate high-quality meshes that meet the spectral element method’s requirements, often producing initial meshes with topological errors or concave elements, which compromise simulation accuracy. To address this, we propose a swarm intelligence-based secondary optimisation method, employing particle swarm optimisation (PSO), wolf pack algorithm (WPA), and firefly algorithm (FA) to iteratively refine distorted nodes. Results demonstrate that all three algorithms eliminate initial mesh defects, with WPA achieving the highest mesh quality, PSO exhibiting the fastest convergence, and FA performing least effectively. The optimised meshes meet the high-quality standards of the spectral element method, significantly improving simulation stability and computational efficiency, and laying a foundation for the further application of the spectral element method in seismic exploration.https://doi.org/10.1038/s41598-025-11071-1Spectral element methodSwarm intelligence algorithmForward modelingSeismic explorationQuadrilateral mesh
spellingShingle Fen Zhang
Jiuyun Tian
Panpan LV
Kaiyun Luo
Yonggu Huang
Shaohui Yang
Fei Deng
Quadrilateral mesh optimisation method based on swarm intelligence optimisation
Scientific Reports
Spectral element method
Swarm intelligence algorithm
Forward modeling
Seismic exploration
Quadrilateral mesh
title Quadrilateral mesh optimisation method based on swarm intelligence optimisation
title_full Quadrilateral mesh optimisation method based on swarm intelligence optimisation
title_fullStr Quadrilateral mesh optimisation method based on swarm intelligence optimisation
title_full_unstemmed Quadrilateral mesh optimisation method based on swarm intelligence optimisation
title_short Quadrilateral mesh optimisation method based on swarm intelligence optimisation
title_sort quadrilateral mesh optimisation method based on swarm intelligence optimisation
topic Spectral element method
Swarm intelligence algorithm
Forward modeling
Seismic exploration
Quadrilateral mesh
url https://doi.org/10.1038/s41598-025-11071-1
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AT kaiyunluo quadrilateralmeshoptimisationmethodbasedonswarmintelligenceoptimisation
AT yongguhuang quadrilateralmeshoptimisationmethodbasedonswarmintelligenceoptimisation
AT shaohuiyang quadrilateralmeshoptimisationmethodbasedonswarmintelligenceoptimisation
AT feideng quadrilateralmeshoptimisationmethodbasedonswarmintelligenceoptimisation