1. A method of simulating compressible multi-phase fluid flow to characterize a subterranean structure containing a fracture corridor, comprising: representing the subterranean structure using a model, wherein the model includes a first grid and a second, finer grid that resolves the fracture corridor to define a connected collection of cells and wherein about the connected collection of cells, cells of the first grid are mathematically coupled to cells of the second grid; and performing, by a processor, a streamline simulation using the model wherein a multiscale pressure solver solves for pressure and fluxes using multipoint flux approximations for cell interface fluxes of a flux field for tracing streamlines that characterize the subterranean structure and the fracture corridor and wherein the multiscale pressure solver accounts for mobility and compressibility of the compressible multi-phase fluid.