Fully Penetrating Anisotropic Model

The fully penetrating anisotropic model simulates the pressure response in a fully penetrated vertical well within a rectangular-shaped reservoir with anisotropic heterogenities (differences in permeability in the x and y directions), or dual porosity characteristics. The anisotropy is handled using a conformal mapping procedure that adjusts the boundary sizes accordingly to mimic the effect of increased or decreased permeability in each direction. 

This well may be at any location within the reservoir and the model supports infinite, no-flow, and constant pressure boundaries. Thus, classical configurations like a well near a sealing fault, or a constant pressure boundary near intersecting faults can be easily modeled.

At very early times, the cylindrical source solution is used, which is followed by Green’s function solutions. No-flow boundaries are modeled using the method of images. The result is superposed in time based on the rate history provided. Note that the dual porosity model provided is based on pseudo-steady state interporosity flow.