This paper established mathematic model for well test analysis of perfectly describing the fractal multilayer reservoir with the bottom-hole storage and the skin effects and the three kinds of outer boundary conditions (infinite boundary, constant pressure outer boundary, closed boundary).

Similar structure of pressure distribution in the multilayer reservoir

This paper proposes mathematical model for well test analysis of perfectly describing the fractal composite reservoir with the well-hole storage and the skin effects and the three kinds of external boundary conditions (infinite boundary, constant pressure outer boundary and closed boundary).

The Theories and model of well testing analysis for a fractal composite reservoir have been discussed with non-Newtonian power law fluid flow.

Basic formulas of fractal seepage and type-curves of fractal reservoirs;

Exact solution and dynamical characteristics of non-Newtonian power-law fluid flow in fractal reservoir;

The nonlinear flow through porous media mathematic model of deformed dual media fractal reservoir, hased on Warren -Root model and the introduction of fractal parameters and compression coefficient, takes the influence of pressure on permeability and porosity with fractal feature into consideration.

In this article we discuss nonsteady flow of two_lagered fractal reservoirs,and get the solution of generalized C-D equation in Laplace space and then get the solution under different boundary conditions with considering or not considering wellbore storage and skin effects, and at last we analyse the nature of the solution under not considering wellbore storage and skin effects.