Abstract: The Theories and model of well testing analysis for a fractal composite reservoir have been discussed with non-Newtonian power law fluid flow. In order to completely describe the situation of real reservoirs, the fractal composite reservoir is defined as fractal reservoir that consists of many zones with different fluid and different format properties. The initial and three outer boundary conditions such as infinite, finite with constant pressure and closed boundary have been given according to polymer flooding in an oil field. A new effective well radius mathematical model of this fractal composite reservoir is suggested involving the wellborn storage and skin effects. The analytical solutions in Laplace-space for the mathematical model and two special cases of two and three regions are derived by Laplace transformation. The dimensionless wellborn pressure for the modern well test analysis is given by using Stehfest numerical inversion. The well test analysis theories and the pressure behavior of this reservoir are also discussed for the two region model.

Key words: fractal composite reservoir, non-Newtonian power-law flow, mathematical model, analytical solution, pressure dynamic feature