Laplace Domain Pressure Behavior Solution for Multilayered Composite Reservoirs

Abstract

This work proposes an analytical model to compute the pressure response for radially heterogeneous multilayer reservoirs. The analytical model proposed in this work was developed based on equations that model pressure behavior during multilayer conventional production tests. A system of linear equations in Laplace domain is built, representing all differential equations, boundary and coupling conditions. The solution of this linear system in Laplace domain is inverted to real domain through Stehfest’s Algorithm. Layer properties such as permeability, oil viscosity, and porosity may be different for each layer. The computed pressure may be used to determine the main properties of an equivalent single-layered radial composite system that responds in the same manner as the heterogeneous one.