The Simulation of Grouting Behavior in the Pea Gravel Filling Layer Behind a Double-Shield TBM Based on the Level Set Method

In double-shield TBM tunnel construction, grouting plays a vital role in consolidating the gravel backfill and maintaining the integrity of the segmental lining. To investigate the permeation behavior of grout within the pea gravel layer, a fluid dynamics model was developed in this study. The model...

Full description

Saved in:
Bibliographic Details
Main Authors: Xinlong Li, Yulong Zhang, Dongjiao Cao, Yang Liu, Lin Chen
Format: Article
Language:English
Published: MDPI AG 2025-07-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/15/13/7542
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1839632301926907904
author Xinlong Li
Yulong Zhang
Dongjiao Cao
Yang Liu
Lin Chen
author_facet Xinlong Li
Yulong Zhang
Dongjiao Cao
Yang Liu
Lin Chen
author_sort Xinlong Li
collection DOAJ
description In double-shield TBM tunnel construction, grouting plays a vital role in consolidating the gravel backfill and maintaining the integrity of the segmental lining. To investigate the permeation behavior of grout within the pea gravel layer, a fluid dynamics model was developed in this study. The model directly simulates the flow of grout through the porous medium by solving the Navier–Stokes equations and employs the level set method to track the evolving interface between the grout and air phases. Unlike conventional continuum approaches, this model incorporates particle-scale heterogeneity, allowing for a more realistic analysis of grout infiltration through the non-uniform pore structures formed by gravel packing. Three different grouting port positions and two boundary conditions are considered in the simulation. The results indicate that under pressure boundary conditions, the grout flow rate increases rapidly in the initial stage, and then decreases and stabilizes, with the flow rate peak increasing as the grout port moves upward. Under velocity boundary conditions, the injection pressure grows slowly in the early stage but accelerates with time. Additionally, the rate of pressure change is faster when the grout port is located lower in the backfilling layer. Through theoretical analysis, the existing analytical formula was extended by introducing a gravitational correction term. When the grouting port is near the upper part of the tunnel, the analytical solution aligns well with the numerical simulation results, but as the grout port moves downward, the discrepancy between the two increases.
format Article
id doaj-art-abc23b043f1948c6bc63ea50d73e2f3a
institution Matheson Library
issn 2076-3417
language English
publishDate 2025-07-01
publisher MDPI AG
record_format Article
series Applied Sciences
spelling doaj-art-abc23b043f1948c6bc63ea50d73e2f3a2025-07-11T14:36:57ZengMDPI AGApplied Sciences2076-34172025-07-011513754210.3390/app15137542The Simulation of Grouting Behavior in the Pea Gravel Filling Layer Behind a Double-Shield TBM Based on the Level Set MethodXinlong Li0Yulong Zhang1Dongjiao Cao2Yang Liu3Lin Chen4Department of Civil Engineering, University of Science and Technology Beijing, Beijing 100083, ChinaDepartment of Civil Engineering, University of Science and Technology Beijing, Beijing 100083, ChinaChina Railway 15th Bureau Group Underground Engineering Co., Ltd., Yangzhou 225000, ChinaDepartment of Civil Engineering, University of Science and Technology Beijing, Beijing 100083, ChinaChina Railway 15th Bureau Group Underground Engineering Co., Ltd., Yangzhou 225000, ChinaIn double-shield TBM tunnel construction, grouting plays a vital role in consolidating the gravel backfill and maintaining the integrity of the segmental lining. To investigate the permeation behavior of grout within the pea gravel layer, a fluid dynamics model was developed in this study. The model directly simulates the flow of grout through the porous medium by solving the Navier–Stokes equations and employs the level set method to track the evolving interface between the grout and air phases. Unlike conventional continuum approaches, this model incorporates particle-scale heterogeneity, allowing for a more realistic analysis of grout infiltration through the non-uniform pore structures formed by gravel packing. Three different grouting port positions and two boundary conditions are considered in the simulation. The results indicate that under pressure boundary conditions, the grout flow rate increases rapidly in the initial stage, and then decreases and stabilizes, with the flow rate peak increasing as the grout port moves upward. Under velocity boundary conditions, the injection pressure grows slowly in the early stage but accelerates with time. Additionally, the rate of pressure change is faster when the grout port is located lower in the backfilling layer. Through theoretical analysis, the existing analytical formula was extended by introducing a gravitational correction term. When the grouting port is near the upper part of the tunnel, the analytical solution aligns well with the numerical simulation results, but as the grout port moves downward, the discrepancy between the two increases.https://www.mdpi.com/2076-3417/15/13/7542double shield TBMgrouting permeabilitytwo-phase flownumerical simulation
spellingShingle Xinlong Li
Yulong Zhang
Dongjiao Cao
Yang Liu
Lin Chen
The Simulation of Grouting Behavior in the Pea Gravel Filling Layer Behind a Double-Shield TBM Based on the Level Set Method
Applied Sciences
double shield TBM
grouting permeability
two-phase flow
numerical simulation
title The Simulation of Grouting Behavior in the Pea Gravel Filling Layer Behind a Double-Shield TBM Based on the Level Set Method
title_full The Simulation of Grouting Behavior in the Pea Gravel Filling Layer Behind a Double-Shield TBM Based on the Level Set Method
title_fullStr The Simulation of Grouting Behavior in the Pea Gravel Filling Layer Behind a Double-Shield TBM Based on the Level Set Method
title_full_unstemmed The Simulation of Grouting Behavior in the Pea Gravel Filling Layer Behind a Double-Shield TBM Based on the Level Set Method
title_short The Simulation of Grouting Behavior in the Pea Gravel Filling Layer Behind a Double-Shield TBM Based on the Level Set Method
title_sort simulation of grouting behavior in the pea gravel filling layer behind a double shield tbm based on the level set method
topic double shield TBM
grouting permeability
two-phase flow
numerical simulation
url https://www.mdpi.com/2076-3417/15/13/7542
work_keys_str_mv AT xinlongli thesimulationofgroutingbehaviorinthepeagravelfillinglayerbehindadoubleshieldtbmbasedonthelevelsetmethod
AT yulongzhang thesimulationofgroutingbehaviorinthepeagravelfillinglayerbehindadoubleshieldtbmbasedonthelevelsetmethod
AT dongjiaocao thesimulationofgroutingbehaviorinthepeagravelfillinglayerbehindadoubleshieldtbmbasedonthelevelsetmethod
AT yangliu thesimulationofgroutingbehaviorinthepeagravelfillinglayerbehindadoubleshieldtbmbasedonthelevelsetmethod
AT linchen thesimulationofgroutingbehaviorinthepeagravelfillinglayerbehindadoubleshieldtbmbasedonthelevelsetmethod
AT xinlongli simulationofgroutingbehaviorinthepeagravelfillinglayerbehindadoubleshieldtbmbasedonthelevelsetmethod
AT yulongzhang simulationofgroutingbehaviorinthepeagravelfillinglayerbehindadoubleshieldtbmbasedonthelevelsetmethod
AT dongjiaocao simulationofgroutingbehaviorinthepeagravelfillinglayerbehindadoubleshieldtbmbasedonthelevelsetmethod
AT yangliu simulationofgroutingbehaviorinthepeagravelfillinglayerbehindadoubleshieldtbmbasedonthelevelsetmethod
AT linchen simulationofgroutingbehaviorinthepeagravelfillinglayerbehindadoubleshieldtbmbasedonthelevelsetmethod