Blockworlds 0.1.0: a demonstration of anti-aliased geophysics for probabilistic inversions of implicit and kinematic geological models

Abstract. Parametric geological models such as implicit or kinematic provide low-dimensional, interpretable representations of 3-D structures. Combining these with geophysical data in a probabilistic joint inversion framework provides an opportunity to directly quantify uncertainty interpretations. For best results, care must be taken the intermediate step rendering parametric geology finite-resolution discrete basis for calculation. Calculating geophysics from naively voxelized geology, exported commonly used modeling tools, can produce poor approximation true likelihood, degrading posterior inference structural parameters. We develop simple integrated Bayesian code, called Blockworlds, showcasing numerical scheme calculate anti-aliased rock properties over regular meshes use gravity and magnetic sensors. Blockworlds demonstrate anti-aliasing context model action tectonic histories, showing its impact on structure likelihood anomaly.