An apparatus responsive to a set of seismic data and a set of well log data for displaying a gridded earth formation comprised of a plurality of grid cells located near a wellbore and a plurality of simulation results associated, respectively, with said plurality of cells, comprising:
- output data generating means operatively responsive to the set of seismic data and the set of well log data for generating output data, said output data including a plurality of values, each of said plurality of values being indicative of a transmissibility between a pair of said plurality of cells, said transmissibility being determined from the following equation:
- ##EQU24## and a=area vector of the interface, K.sub.i =permeability tensor of cell i adjusted by net to gross, r.sub.i =vector from centre of cell i to the interface along the line of centers, C.sub.D =Darcy constant, and NTG=net to gross thickness ratio;
- display means for displaying said gridded earth formation comprised of said plurality of grid cells;
- and
- simulator means operatively connected to said display means and responsive to said output data from said output data generating means for generating said plurality of simulation results associated, respectively, with said plurality of grid cells, each of said plurality of simulation results being overlayed over a grid cell of said plurality of grid cells on said display means for displaying a simulation result for each of said plurality of grid cells of said gridded earth formation.