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Digital methods for predicting foundation settlements

https://doi.org/10.22227/1997-0935.2026.2.195-206

Abstract

Introduction. In the context of building reconstruction with underground space development, monitoring foundation deformations is of critical importance. Traditional criteria based solely on settlement magnitudes and their relative non-uniformity do not fully capture the spatial distribution of deformations and their correlation with geotechnical and structural factors.

Materials and methods. digital methodology for predicting deformations of the foundations of reconstructed buildings was applied, based on the approximation of settlement by cubic splines and subsequent analysis of its derivative functions (angle of inclination and curvature). The methodology includes: formalization of the algorithm for constructing continuous settlement profiles and calculating their derivatives from geodetic monitoring data; validation of the methodology using case studies of reconstruction projects in Moscow and St. Petersburg with varying excavation parameters, wall lengths and orientations, as well as geotechnical conditions; application of machine learning methods to identify relationships between excavation geometry, soil parameters, and observed deformations.

Results. The constructed fields of settlement and its derivatives made it possible to localize zones of maximum deformations between benchmarks and to record cases of exceeding normative threshold values. Machine learning methods demonstrated the ability to predict deformation parameters (C′, D′) from external data on geometry and soil properties, providing acceptable accuracy on a limited dataset.

Conclusions. The application of cubic spline approximation of settlements in reconstructed buildings with underground parts, along with the calculation of slope and curvature of the foundation base, expands the traditional analysis toolkit, enabling identification of local deformation zones inaccessible to linear approximation. Integration with machine learning algorithms offers prospects for predicting foundation behavior in new reconstruction projects with underground development under dense urban conditions.

About the Authors

N. S. Nikiforova
Moscow State University of Civil Engineering (National Research University) (MGSU)
Russian Federation

Nadezhda S. Nikiforova — Doctor of Technical Sciences, Professor of the Department of Soil Mechanics and Geotechnics

26 Yaroslavskoe shosse, Moscow, 129337

RSCI AuthorID: 546750, Scopus: 7005513559, ResearcherID: P-3429-2015



D. D. Pirogov
Moscow State University of Civil Engineering (National Research University) (MGSU)
Russian Federation

Daniil D. Pirogov — postgraduate student of the Department of Soil Mechanics and Geotechnics

26 Yaroslavskoe shosse, Moscow, 129337



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Review

For citations:


Nikiforova N.S., Pirogov D.D. Digital methods for predicting foundation settlements. Vestnik MGSU. 2026;21(2):195-206. (In Russ.) https://doi.org/10.22227/1997-0935.2026.2.195-206

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ISSN 1997-0935 (Print)
ISSN 2304-6600 (Online)