Research projects

NUMEX – Numerical Modelling and Experimental Investigation of Expansive Clays

Funding body DFG, Project 556457374
Project partner Fachbereich Bodenmechanik und Grundbau / Geotechnik (BTU Cottbus)
Project duration 3 years, start 2025
Project management Dr.-Ing Jan Machaček
Prof. Dr.-Ing. Carlos Grandas (BTU Cottbus)
Contact Dr.-Ing Jan Machaček

Expansive clay materials are characterised by their low hydraulic conductivity, high plasticity, and volume increase upon contact with water. These properties are highly relevant in geotechnical engineering, as they pose challenges for structures on expansive ground while also offering advantages in sealing applications.

The objective of the project is to analyse the swelling behaviour and coupled hydro-mechanical processes through experimental investigations on reconstituted clay samples. This includes radial stress measurements under oedometer conditions, determination of the critical state for dry and saturated material, and cyclic wetting and drying tests. Based on these experimental investigations, a numerical model developed by the applicants will be reviewed and extended. The modelling approach will be capable of predicting the evolution of swelling deformation and swelling pressure, as well as swelling-induced changes in hydraulic conductivity, as a function of mechanical boundary conditions.

To account for large deformations, the model will be implemented into an existing Particle Finite Element Method (PFEM) . The developed methods will be tested and validated using benchmark problems and realistic geotechnical applications.

Example: Simulation of Swelling Tests Using the Extended Model

The predictive capabilities of the developed numerical model are demonstrated by the animation and figures below. The animation visualises the progression of the saturation front in a reconstituted Opalinus clay sample and the resulting vertical deformation due to swelling.

The time-dependent development of swelling deformation due to water intake shows excellent agreement between simulation and experiment (see Figure 1b). Similarly, the simulations of loading, unloading, and reloading after the swelling phase (Figure 1c) align closely with the corresponding experimental data (Figure 1d).

Figure 1: Numerical simulation of laboratory tests using the proposed hypoplastic swelling model and the hydraulic model within the framework of the extended Theory of Porous Media (TPM). a) Evolution of hydraulic conductivity under different loading paths. b) Time-dependent development of swelling deformation due to water addition. c) Experimental results for swelling pressure (dark blue) and swelling deformation (light blue) with subsequent loading and unloading. The response of the dry material is shown in grey. d) Simulation data for comparison.
Figure 1: Numerical simulation of laboratory tests using the proposed hypoplastic swelling model and the hydraulic model within the framework of the extended Theory of Porous Media (TPM). a) Evolution of hydraulic conductivity under different loading paths. b) Time-dependent development of swelling deformation due to water addition. c) Experimental results for swelling pressure (dark blue) and swelling deformation (light blue) with subsequent loading and unloading. The response of the dry material is shown in grey. d) Simulation data for comparison.

Publications

Numerical Modelling of Expansive Geomaterials: Finite Element Formulation and Constitutive Models
Machaček, Jan; Nitsch, Antonia; Wichtmann, Torsten; Grandas Tavera, Carlos Eduardo (2024)
Experimental Investigations on Hydro-mechanical Processes in Reconstituted Clay Shale and Their Significance for Constitutive Modelling
Nitsch, Antonia; Leuthold, Julia; Machaček, Jan; Grandas Tavera, Carlos Eduardo (2023)
An Extended Theory of Porous Media for Expansive Soils
Nitsch, Antonia; Machaček, Jan; Wichtmann, Torsten; Grandas Tavera, Carlos Eduardo (2023)
Zur numerischen Simulation expansiver Geomaterialien mit der Finite-Elemente-Methode Publications of the Institute of Geotechnical Engineering and Construction Management: Numerical Methods in Geotechnics 2022
Nitsch, Antonia; Machaček, Jan; Grandas Tavera, Carlos Eudardo; Wichtmann, Torsten (2023)
An extended TPM for the coupled hydro-mechanical simulation of expansive soils. In: Numerical Methods in Geotechnics 2022 – Proceedings Publications of the Institute of Geotechnics and Construction Management: Numerical Methods in Geotechnics 2022
Machaček, Jan; Nitsch, Antonia; Grandas Tavera, Carlos Eudardo (2022)
A 1D Hypoplastic constitutive model for expansive soils
Grandas Tavera, Carlos Eduardo; Nitsch, Antonia,; Machaček, Jan (2022)
Experimental investigations of the stress-dependent swelling behavior of reconstituted claystone
Nitsch, Antonia; Leuthold, Julia; Machaček, Jan; Wichtmann, Torsten; Grandas Tavera, Carlos Eduardo (2021)