Patent ID: 8145463

Claim:
A method for generating a computer model representing a reservoir, comprising: solving a set of diffusivity equations in response to input data thereby generating a set of solutions to the diffusivity equations, the diffusivity equations representing pressure diffusion in a porous medium for multiple wells in a single phase layered system under a set of boundary conditions that form a basis for prediction of a bottom hole pressure response of a producing well; applying successive integrals to said set of solutions to obtain one or more pressure values, where the successive integrals include, ∫ 0 x ⁢ ∫ 0 y ⁢ ∫ 0 z ⁢ ∫ 0 t , ⁢ and are performed by: calculating a plurality of pressure values by performing an integration from 0 to x along an x-axis of each solution of said set of solutions; calculating an additional plurality of pressure values by performing another integration from 0 to y along a y-axis of said each solution of said set of solutions; calculating a further additional plurality of pressure values by performing still another integration from 0 to z along a z-axis of said each solution of said set of solutions; and calculating said one or more pressure values where each pressure value has a specific point in space and exists at a specific point in time by performing still another integration from 0 to t for time along said each solution of said set of solutions; and generating said computer model using said one or more pressure values.