We present a very efficient implementation of a multiphase lattice Boltzmann methods (LBM) based on CUDA. This technology delivers significant benefits for predictions of properties in rocks. The simulator on NVIDIA hardware enables us to perform pore scale multi-phase (oil-water-matrix) simulations in natural porous media and to predict important rock properties like absolute permeability, relative permeabilites, and capillary pressure.
We show that the p-Selmer group of an elliptic curve is naturally the intersection of two maximal isotropic subspaces in an infinite-dimensional locally compact quadratic space over F_p.
