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We develop a computational framework that leverages the features ofsophisticated software tools and numerics to tackle some of the pressing issuesin the realm of earth sciences. The algorithms to handle the physics ofmultiphase flow, concomitant geomechanics all the way to the surface of theearth and the complex geometries of field cases with surfaces of discontinuityare stacked on top of each other in a modular fashion which allows for easy useto the end user. The current focus of the framework is to provide the user withtools for assessing seismic risks associated with energy technologies as wellas for use in generating forward simulations in inversion analysis from dataobtained using GPS and InSAR. In this work, we focus on one critical aspect inthe development of the framework: the use of computational geometry in atwo-grid method for unstructured tetrahedral meshes

Two-grid method on unstructured tetrahedra: Applying computational geometry to staggered solution of coupled flow and mechanics problems