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17 December 2025

Numerical Studies for the Application of the Methodology for Volume Loss of Cohesionless (Loose) Soils (VL,LSR) and the Additional Settlement (Smax) During Shield Tunneling

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1
Department of Soil Mechanics and Geotechnics, Moscow State University of Civil Engineering (National Research University), Yaroslavskoe Shosse, 26, 129337 Moscow, Russia
2
Geodetic and Surveying Department of Mosinzhproekt JSC, 4/1 Sverchkov Lane, 101000 Moscow, Russia
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This article belongs to the Special Issue Advances in Building Foundation Engineering and Underground Structures

Abstract

This paper presents results of numerical modeling of tunneling using mechanized tunnel boring machines (TBMs) based on a methodology for determining the volume loss cohesionless (loose) soils, denoted as VL,LSR, for shallow tunnels in dispersive soils to estimate surface and foundation on settlement natural ground. Existing methods for estimating ground surface and structural settlements have significant drawbacks, caused by several factors, including the complexity of determining volume loss using the proposed methodologies, a limited number of empirical parameters describing the technological features of TBM operations, the absence of methods in Russian regulatory documentation for determining volume loss in tunnels with diameters of 6 m or more, among other issues. The study aims to validate a previously developed method for estimating VL,LSR and an empirical equation for predicting surface settlements, Smax, to assess additional settlements induced by tunneling. The proposed volume loss methodology and the modified Smax expression from Peck R.B. (1969), derived from monitoring data, are used in empirical calculations and numerical modeling of surface and building settlements during TBM tunneling. Validation results include back-analysis of geotechnical “tunnel–ground–structure” interaction models, comparisons of additional settlements from design calculations and field monitoring data, as well as comparisons with existing empirical relationships and relevant regulatory documents, followed by recommendations for their integrated application. The validated methods demonstrate good agreement with observed monitoring data, while providing sufficient engineering safety margins, confirming the applicability of the VL,LSR and the modified Smax expression by Peck R.B. (1969) for predicting settlements of tunneling and identifying directions for further research.

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