journal article·2025-12Open access

A physics-based CatBoost model for water retention of compacted bentonite with global sensitivity analysis

Muntasir Shehab, Reza Taherdangkoo, Christoph Butscher

Abstract

Bentonite is a recommended buffer material in high-level radioactive waste repositories to restrict the migration of radionuclides into the environment. Determining the soil water retention curve (SWRC) of bentonite is essential for predicting its hydraulic behaviour, including water flow dynamics and saturation time, which are critical for evaluating the performance of engineered barrier systems. This study compiled 46 experimental SWRCs from existing literature containing 311 data points of matric potential and corresponding water content. Key soil properties associated with these data points include specific gravity, montmorillonite content, initial dry density, initial water content, initial void ratio, and plasticity index. The Van Genuchten model parameters were optimized using the Levenberg–Marquardt algorithm for each of the 46 SWRCs. To enrich the SWRC data, 20 additional data points of matric potential were generated, and the predicted water content from the optimized Van Genuchten models was then combined with the experimental data. A machine learning model was developed to predict the SWRC of bentonite using the CatBoost machine learning algorithm; and fine-tuned its hyper-parameters using the artificial gorilla troops optimizer. As input, the machine learning model used matric potential, key soil properties, and experimental conditions such as confined or unconfined states and drying or wetting paths. The machine learning model shows very good performance in estimating the water content at various matric potentials, offering an efficient method to determine the SWRC of bentonite based on key soil properties.
Source: openalex_inverted_index · Quality: baseline

Research context

OpenAlex topics: Soil and Unsaturated Flow · Groundwater flow and contamination studies · Landslides and related hazards

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

References (53)

Show source-provided references
1. Artificial gorilla troops optimizer (agto): a new nature-inspired metaheuristic algorithm for global optimization problems
2. Modelling of soil moisture retention curve using machine learning techniques: Artificial and deep neural networks vs support vector regression models10.1016/j.cageo.2019.104320 ↗
3. Swelling pressure–suction relationship of heavily compacted bentonite–sand mixtures10.1007/s11440-012-0189-0 ↗
4. Prediction of soil water retention curve based on physical characterization parameters using machine learning10.28927/SR.2022.000222 ↗
5. Data-driven modeling of an unsaturated bentonite buffer model test under high temperatures using an enhanced axisymmetric reproducing kernel particle method10.1016/j.compgeo.2024.106133 ↗
6. Barnett · 1994 · 705
7. Soil-water characteristic curves of bentonites in isochoric conditions during wetting: measurement and prediction10.1139/cgj-2019-0818 ↗
8. Coupled hydro-mechanical analysis of compacted bentonite behaviour during hydration10.1016/j.compgeo.2021.104447 ↗
9. Brooks · 1965
10. Dong · 2018
11. Dorogush · 2018
12. Determination of the soil–water characteristic curve of unsaturated bentonite–sand mixtures10.1007/s12665-017-6511-2 ↗
13. Fredlund · 2012
14. Equations for the soil–water characteristic curve10.1139/t94-061 ↗
15. Freeze · 1979
16. Structure-based hydro-mechanical properties of sand-bentonite composites10.1016/j.enggeo.2018.02.002 ↗
17. Shear strength behavior and soil water retention curve of a dual porosity silt-bentonite mixture
18. Estimation of the van genuchten soil water retention properties from soil textural data10.1016/S1002-0160(10)60035-5 ↗
19. Influence of pore fluid concentration on water retention properties of compacted gmz01 bentonite10.1016/j.clay.2016.05.020 ↗
20. Experimental and modeling study of soil water retention curves of compacted bentonite considering salt solution effects
21. Adaptation of the van genuchten expression to the effects of temperature and density for compacted bentonites10.1016/j.clay.2008.04.001 ↗
22. Fractal approach in expansive clay-based materials with special focus on compacted gmz bentonite in nuclear waste disposal: A systematic review10.1007/s11356-021-14707-7 ↗
23. Density and porosity of bentonites10.1007/s10934-012-9589-7 ↗
24. Neural network models to predict soil water retention10.1046/j.1365-2389.1999.00247.x ↗
25. Effect of a water phase on the swelling pressure and water retention of an unsaturated bentonite–sand mixture with insignificant osmotic suction10.1007/s42860-023-00220-0 ↗
26. A method for the solution of certain non-linear problems in least squares10.1090/qam/10666 ↗
27. Lloret · 2004 · 165
28. Loiseau, C., Cui, Y., Delage, P., 2002. The gradient effect on the water flow through a compacted swelling soil. In: Proc. 3rd Int Conf Unsaturated Soils, UNSAT. pp. 395–400.
29. Estimation of the water retention curve for unsaturated clay10.4141/cjss10014 ↗
30. An algorithm for least-squares estimation of nonlinear parameters10.1137/0111030 ↗
31. Multiobjective inverse modeling for soil hydraulic parameter estimation and model verification
32. A new model for predicting the hydraulic conductivity of unsaturated porous media10.1029/WR012i003p00513 ↗
33. The use of feed-forward and cascade-forward neural networks to determine swelling potential of clayey soils10.1016/j.compgeo.2023.105319 ↗
34. Effective approach to predict soil–water retention curve of bentonites considering adsorption and capillarity10.1016/j.jhydrol.2024.131799 ↗
35. Analysis of neural network based pedotransfer function for predicting soil water characteristic curve10.1016/j.geoderma.2019.05.013 ↗
36. Uncertainties in water retention curve of bentonite
37. Saltelli · 2008
38. Water retention behaviour and microstructural evolution of mx-80 bentonite during wetting and drying cycles10.1680/geot.14.P.017 ↗
39. Towards reliable barrier systems: a constrained xgboost model coupled with gray wolf optimization for maximum swelling pressure of bentonite10.1016/j.compgeo.2024.106132 ↗
40. Recent developments and applications of the hydrus computer software packages10.2136/vzj2016.04.0033 ↗
41. Smith · 1991
42. Soil-water characteristics of gaomiaozi bentonite by vapour equilibrium technique10.1016/j.jrmge.2013.12.004 ↗
43. Predicting methane solubility in water and seawater by machine learning algorithms: Application to methane transport modeling10.1016/j.jconhyd.2021.103844 ↗
44. Modeling unsaturated hydraulic conductivity of compacted bentonite using a constrained catboost with bootstrap analysis10.1016/j.clay.2024.107530 ↗
45. Coupled hydro-mechanical modeling of swelling processes in clay-sulfate rocks10.1007/s00603-022-03039-8 ↗
46. An efficient neural network model to determine maximum swelling pressure of clayey soils10.1016/j.compgeo.2023.105693 ↗
47. Controlling suction by the vapour equilibrium technique at different temperatures and its application in determining the water retention properties of mx80 clay10.1139/t04-082 ↗
48. A closed-form equation for predicting the hydraulic conductivity of unsaturated soils10.2136/sssaj1980.03615995004400050002x ↗
49. Villar · 2002 · 258
50. Villar · 2004
51. Influence of temperature on the water retention properties of compacted gmz01 bentonite10.1007/s12665-014-3690-y ↗
52. An experimental study of the water transfer through confined compacted gmz bentonite10.1016/j.enggeo.2009.08.003 ↗
53. Characteristics of water suction for a Korean compacted bentonite10.1080/00295450.2019.1632093 ↗