In this paper, we present a novel illustrative multivariate visualization for geological modelling to assist geologists and reservoir engineers in visualizing multivariate datasets in superimposed representations, in contrast to the single-attribute visualizations supported by commercial software. Our approach extends the use of decals from a single surface to 3D irregular grids, using the layering concept to represent multiple attributes. We also build upon prior work to augment the design and implementation of different geological attributes (namely, rock type, porosity, and permeability). More specifically, we propose a new sampling strategy to generate decals for porosity on the geological grid, a hybrid visualization for permeability which combines 2D decals and 3D ellipsoid glyphs, and a perceptually-based design that allows us to visualize additional attributes (e.g., oil saturation) while avoiding visual interference between layers. Furthermore, our visual design draws from traditional geological illustrations, facilitating the understanding and communication between interdisciplinary teams. An evaluation by domain experts highlights the potential of our approach for geological modelling and interpretation in this complex domain.A. Rocha et al. / Illustrative Multivariate Visualization for Geological Modelling pinch-outs, or when surfaces intersect each other, such as when grid aligned cross-sections are used to explore 3D internal structures-a common strategy adopted by reservoir engineers and geologists.By combining colormaps, decals, decal-maps as well as a 3D glyph-based representation, we represent the following geological data attributes: rock type (categorical data), porosity (scalar data), permeability (tensor data), and oil saturation (scalar data). For porosity representation, we contribute a new importance-sampling strategy to generate decal distributions on the deformed corner point grid. For permeability, we propose a hybrid visualization strategy that combines 2D decals and 3D ellipsoid glyphs. Our perceptually-based design allows us to visualize additional geological attributes such as oil saturation, while avoiding visual interference between attribute layers. Our visual design draws from traditional geological illustrations, facilitating the understanding and communication between interdisciplinary teams. Moreover, we evaluate our technique with domain experts via real walk-through scenarios to highlight the potential of our approach for geological modelling and interpretation in this complex domain. Our main contributions in this work are as follows: