Transition zone design for reduced track settlements ̶ Field measurements and numerical simulations
Doctoral thesis, 2025

In a transition zone between two different railway track forms, the discontinuity in structural design leads to a gradient in track stiffness. This gradient, combined with differences in loading and support conditions along the interface between superstructure and substructure on either side of the transition, often leads to differential settlement and irregularities in vertical track geometry shortly after construction due to ballast densification, subsoil compaction and consolidation. These irregularities amplify dynamic traffic loads, exacerbating long-term track degradation due to differential settlement along the transition zone.

The research in this thesis aims to enhance the understanding of vehicle–track–soil dynamic interactions and the mechanisms driving differential settlement in transition zones, ultimately supporting improved track design and management strategies. A comprehensive suite of numerical models has been developed, including both linear and nonlinear two-dimensional (2D) and three-dimensional (3D) finite element (FE) models of ballasted track, a 2D slab track model, a 2D vehicle model, and a coupled 3D FEM–discrete element method (DEM) model.

The model of short-term dynamic vehicle–track interaction in the time domain provides sleeper–ballast contact forces that are used in an empirical model of long-term settlement, which is used as input in the next simulation of dynamics, etc. Using this iterative approach, these models effectively simulate long-term differential settlement in the ballast and subgrade layers, capturing key phenomena such as sleeper voiding, rail seat load redistribution, and the evolution of vertical track geometry irregularities near transitions. In contrast, the integrated FEM–DEM approach directly computes dynamic responses and long-term differential settlements without relying on empirical settlement models.

Using this iterative methodology to analyse various scenarios, including transitions between ballasted track and 3MB slab track under heavy haul traffic, and transitions from ballasted track to slab track in tunnels, the analyses address stiffness gradients, variability in track support, rail level misalignments, and ballast particle rearrangements induced by dynamic loads. Further, transition zone designs, such as with the use of under sleeper pads, rail pads with different stiffness, transition wedges, wider sleeper bases, and reduced sleeper spacing, are evaluated.

In parallel, an advanced monitoring setup, employing fibre Bragg grating sensors, was developed and deployed for long-term, in-situ measurement of track bed degradation under harsh environmental conditions. The instrumentation included optical strain gauges, accelerometers, and displacement transducers, supported by geotechnical site investigations and total station measurements. This comprehensive set of field test data has been key for model verification and calibration.

dynamic vehicle–track interaction

non-linear track model

Transition zone

condition monitoring

reduced order model

fibre Bragg grating sensors

differential settlement

HA2 on Hörsalsvägen at Chalmers
Opponent: Professor William Powrie, Department of Civil, Maritime and Environmental Engineering, University of Southampton, UK

Author

Kourosh Nasrollahi

Chalmers, Mechanics and Maritime Sciences (M2), Dynamics

A review of methods and challenges for monitoring of differential settlement in railway transition zones

Proceedings of the 13th International Conference on Structural Health Monitoring of Intelligent Infrastructure,;(2025)

Paper in proceeding

K. Nasrollahi, J.C.O. Nielsen, and J. Dijkstra. Enhanced three-dimensional reduced-order track model for predicting differential settlement in railway transition zones.

A. Ahmadi, K. Nasrollahi, J.C.O. Nielsen and J. Dijkstra. Dynamic vehicle–track interaction and differential settlement in a transition zone on railway ballast: An integrated 3D discrete–continuum model

Railways provide a sustainable, cost-effective, and efficient mode of transportation, ensuring safe and reliable transit for both passengers and freight while minimising environmental impact. To further enhance their competitiveness, it is essential to expand infrastructure and enable higher operating speeds and increased axle loads. While these advancements bring clear benefits, they also impose greater demands on both rolling stock and track infrastructure.

One of the key challenges arising from these demands is the increased need for maintenance, particularly in transition zones where two different track structures meet. These zones exhibit a gradient in track stiffness, which induces dynamic traffic loading and elevated mechanical stresses, making the track substructure more susceptible to settlement. Examples include transitions between different superstructures, such as from slab track to ballasted track, as well as between substructures, like embankments and bridges or tunnels. Variations in loading and support conditions at these interfaces often lead to uneven settlement and irregularities in vertical track geometry shortly after construction. These issues are commonly driven by ballast densification and subsoil consolidation.

This thesis aims to advance the understanding of dynamic interactions between vehicles, track superstructures, and substructures, with a particular focus on the mechanisms driving differential settlement in transition zones. To achieve this, advanced numerical simulations are employed, including two- and three-dimensional finite element models and coupled discrete element–finite element methods, to capture the complex vehicle–track–soil interactions. These models are integrated with empirical settlement formulas through an iterative approach to predict the long-term degradation of track geometry. The simulations trace the transmission of forces through rails, sleepers, ballast, and subgrade, and model the accumulation of settlement under repeated loading. Additionally, the study evaluates mitigation strategies, such as the use of under sleeper pads, wider sleepers, and reduced sleeper spacing, with the aim of minimising track stiffness gradient, differential settlement, and extending track service life.

Comprehensive field measurements from a test site in northern Sweden, subjected to heavy haul traffic and harsh environmental conditions, are used to monitor the long-term performance of a transition zone. Data collected using fibre optic sensors, accelerometers, and displacement transducers serve to verify and enhance the accuracy of the numerical models.

By advancing knowledge of transition zone dynamics through both modelling and field observations, this work contributes to the development of a safer and more reliable railway system, while supporting more efficient maintenance planning.

IAM4RAIL

Swedish Transport Administration (2023/9635), 2023-01-01 -- 2026-02-28.

Research into enhanced track and switch and crossing system 2 (In2Track-2)

European Commission (EC) (EC/H2020/826255), 2018-11-01 -- 2021-10-31.

Swedish Transport Administration, 2018-11-01 -- 2021-10-31.

Driving research and innovation to push Europe's rail system forward (IN2TRACK3)

European Commission (EC) (EC/H2020/101012456), 2021-01-01 -- 2023-12-31.

Swedish Transport Administration (2021/19114), 2021-01-01 -- 2023-12-31.

Subject Categories (SSIF 2025)

Geotechnical Engineering and Engineering Geology

Vehicle and Aerospace Engineering

Infrastructure Engineering

ISBN

978-91-8103-268-0

Doktorsavhandlingar vid Chalmers tekniska högskola. Ny serie: 5726

Publisher

Chalmers

HA2 on Hörsalsvägen at Chalmers

Online

Opponent: Professor William Powrie, Department of Civil, Maritime and Environmental Engineering, University of Southampton, UK

More information

Latest update

9/15/2025