This dataset comprises X-ray tomography image stacks, label files, and vector matrices containing 3D location coordinates of velocity distributions derived from permeability simulations for igneous mushy samples. The X-ray tomography images have spatial resolutions ranging from 3.5 to 56 µm, providing detailed 3D representations of the rock samples. The data were collected with samples from four distinct locations: Brandur (Iceland), Avellino (Italy), K?lauea Iki (Hawaii, USA), and Saint Kitts (St. Kitts and Nevis). Additionally, the dataset includes electron microprobe analyses of plagioclase and amphibole minerals from Saint Kitts. The primary purpose of this dataset is to support research into volcanic processes, rock sample analysis, and permeability simulations in igneous cumulate and plutonic rocks. It is particularly useful for geologists, volcanologists, and researchers in material science and structural geology. Each sample in the dataset is organised into a dedicated folder containing the following X-ray tomography image stacks (in a separate folder named as the sample), label files (.am files named using the sample name as a prefix), binary images of the connected plutonic matrices (.am files with the suffix “Axis-Connectivity”), vector matrices with 3D location coordinates (“PotentialZ” for the pressure field, “VelocityZ” for the velocity field), a DOCX file with the metadata for the sample such as voxel size and the number of layers for each label, and, where applicable, a subfolder with SEM images.