This dataset supports the results included in the poster presentation 'Lattice Boltzmann Modelling of Water Transport in Hydrates Agglomerates’, MN Borg, DA Faux, PJ McDonald, at the 39th Cement and Concrete Science Conference, 9-10 September 2019, University of Bath, UK. See the folder "Metadata" for details of the dataset. It is well known that sorption hysteresis and first cycle irreversibility exists for cement materials. Experiments show that cement microstructure is dynamic both during and after de/sorption. The Lattice Boltzmann (LB) method is a robust technique to simulate fluid (liquid and vapour) transport in porous materials. This work aims to simulate drying and wetting of model hydrate microstructures through repetitive de/sorption cycles using LB. The dataset provides initial validation of LB methods needed to study the microstructural rearrangement of cement gel during sorption cycles. The conference proceedings are published by University of Bath in association with Cementitious Materials Group, Institute of Materials Minerals and Mining, London, UK. https://researchportal.bath.ac.uk/en/publications/39th-cement-and-concrete-science-conference-2019 https://purehost.bath.ac.uk/ws/portalfiles/portal/197842011/39th_Cement_and_Concrete_Science_Conference_2019.pdf