1. A method of generating a three-dimensional reservoir model simulation grid and extracting hydrocarbons from a subsurface earth volume comprising:a) first, providing, with a computer system, a geological model comprising horizons, modeling constraints and multiple geological grid cells and a plurality of pillars, wherein the geological model is a representation of the subsurface earth volume in three dimensions;
b) second, constructing, with the computer system, a pre-image corresponding to the multiple geological grid cells, said pre-image comprising a two dimensional surface representative of areal geometry of the geological model, said modeling constraints being mapped onto said two dimensional surface;
c) third, generating, with the computer system, a constrained two-dimensional grid on the pre-image with the computer system, the constrained two-dimensional grid comprising multiple grid cells;
d) fourth, selecting, with the computer system, simulation layer boundaries associated with a plurality of simulation layers from said geological model and projecting the constrained two-dimensional grid onto said simulation layer boundaries, wherein the constrained two-dimensional grid cells comprise identifiers corresponding to the grid cells of the geological model, wherein the grid cells are projected along k-direction lines of the multiple geological grid cells, wherein each k-direction line is along one of the plurality of pillars, and wherein each of the plurality of simulation layers is comprised of major depositional surfaces that are nearly horizontal, fault surfaces which can have arbitrary spatial size and orientation, or detailed stratigraphic layers;
e) fifth, generating, with the computer system, prismatic cells from the constrained two-dimensional grid to form the three-dimensional reservoir model simulation grid;
f) sixth, outputting, with the computer system, the three-dimensional reservoir model simulation grid;
g) seventh, predicting, with the computer system, presence or location of hydrocarbons, or predicting or estimating an extraction location in the subsurface earth volume; and
h) eighth, extracting hydrocarbons based on the three-dimensional reservoir model simulation grid using oil drilling equipment.