Fast Iterative Method for Processing Hamilton-Jacobi Equations

A method for analyzing the connected quality of a hydrocarbon reservoir, comprising:

• obtaining a model of a portion of the reservoir and dividing it into cells, each cell having a volume and attributes;
• assigning a speed function to a portion of the cells;
• choosing a reference cell;
• determining a connectivity between cells in the reservoir using a solution to an Eikonal equation, describing a propagating front in a heterogeneous medium, said front progressing outward from a reference cell until an ending condition is met, the Eikonal equation being solved by a fast iteration method with propagation velocity as a function of spatial position being provided by the speed function;
• and
• characterizing regions of the reservoir by their connective quality to the reference cell using the connectivity.