Analytical Solutions for Gas Flow Due to Gas Injection and Extraction from Horizontal Wells

Analytical solutions are developed for modeling the transient and steady‐state gas pressure and the steady‐state streamfunction fields resulting from gas injection and extraction from a pair of parallel horizontal wells. These solutions apply to cases in which the ground surface is open to the atmosphere, and in which the porous media is anisotropic but homogeneous. By neglecting end effects due to the finite length of the wells, the three‐dimensional gas flow field is approximated as a two‐dimensional cross section perpendicular to the wells. These solutions may be used to develop estimates of the horizontal well system behavior and to analyze horizontal well gas pump tests, and are useful for numerical model verification.