Abstract:

This paper establishes the percolation mathematical models of a homogeneous anisotropic reservoir horizontal well in or without consideration of wellbore storage and skin effect. After the solution of the mathematical models have been obtained by using characteristic function ,finite integral transforms, Laplace transforms, and other methods, the pressure and pressure derivative type curve is drawn that is suitable for the horizontal well testing analysis，by using numerical integral and numerical inversion methods. The approximative expression also derived of early and late pressure drop of the horizontal well testing analysis.

Key words: horizontal well, pressure transient mathematical model, wellbore storage, skin effect