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2026
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Research paper
Foundation engineering and geotechnical works
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Research paper Foundation engineering and geotechnical works

NUMERICAL MODELLING OF TUNNELS IN BLOCK-IN-MATRIX FORMATIONS

By
Novak Joksimović Orcid logo ,
Novak Joksimović

University of Belgrade - Faculty of Civil Engineering , Belgrade , Serbia

Ksenija Micić Orcid logo ,
Ksenija Micić

University of Belgrade - Faculty of Civil Engineering , Belgrade , Serbia

Miloš Marjanović Orcid logo
Miloš Marjanović
Contact Miloš Marjanović

University of Belgrade - Faculty of Civil Engineering , Belgrade , Serbia

Abstract

This paper presents an automated workflow linking a voxel-based block-in-matrix (BiM) ground model to PLAXIS 2D through its Python HTTP API, focusing on finite element (FE) simulation of tunnel excavation in such heterogeneous rock. Building on prior borehole-constrained ground model and conditional random field (CRF) matrix-variability studies, the paper details the material models, excavation sequence and script logic used to transfer voxelized cross-sections, each containing thousands of block and matrix polygons, into PLAXIS 2D via batched API requests. Both block and matrix are represented with the Mohr-Coulomb elastic-perfectly plastic criterion; blocks are described with constant values of geomechanical parameters while matrix parameters vary spatially. Excavation is simulated by the convergence-confinement method in ten deconfinement stages. Results show generally reduced but scattered radial displacements relative to a homogeneous deterministic model. 

Funding Statement

This research was supported by the Science Fund of the Republic of Serbia, #345 - Digital and Numerical Model Integration for Optimization in Geotechnics – DiNum-GEO. Authors are partially supported by Serbian Ministry of Science, Technological Development and Innovation via Project 200092.

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