1. A hydrocarbon prospecting method for forming an N-dimensional model of a physical property for a subsurface region comprising: obtaining geophysical survey data from a subsurface region, wherein the data are sensitive to a physical property; constructing an initial model of the physical property in the subsurface region by performing a less than N-dimensional stochastic inversion of the data; performing, using a computer, an N-dimensional deterministic inversion of the data using the initial model as a starting model, thereby forming the N-dimensional model of the subsurface region, said N-dimensional model including hydrocarbon deposits; using the N-dimensional model to generate, with a computer, an image of the subsurface region for exploration of hydrocarbons; and exploring for hydrocarbons using the image of the subsurface region.