This data set is a description of a novel analogue modelling method used to run lithospheric-scale tectonic models, and to uniquely monitor these models through X-Ray CT-scanning techniques at the Tectonic Modelling Lab of the University of Bern (Switzerland). It includes information on the model set-up and model materials, and includes a step-by-step description of the general modelling procedure. A first application of this novel procedure, for the simulation of lithospheric scale rifting processes can be found in Zwaan & Schreurs (2023a) in Tectonics, with supplementary data publicly available via GFZ Data Services (Zwaan & Schreurs 2023b). The results of this work prove the feasibility of the method, and opens the door to a broad variety of new tectonic modelling studies.