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Objective: This study reconsiders the problem of wellbore storage and skin distortion for the transient flow of non-Newtonian power law fluids through porous media injection tests. A better method of pressure analysis data from such tests is derived which corrects some mathematical inconsistencies present in the literature. Methodology: Because the problem being considered results in non-linear boundary conditions, Laplace transform and other solution devices cannot be used to obtain analytical solutions. Hence the finite element method was chosen to solve the problem numerically. This study uses the finite element method to generate type curves for the partial differential equation resulting from the flow of non-Newtonian power law fluids through porous media and the associated nonlinear boundary condition that accounts for the wellbore storage distortion and skin effects. Results and conclusions: The mathematical reasons for the inaccuracies in the previously presented solutions are described. A corrected step by step analysis procedure for obtaining the formation properties, skin factor and the associated wellbore storage constant is described using type curves. The application is augmented by one real field test data, and three simulated test data examples.

Use of Type Curve for Analyzing Non-Newtonian Fluid Flow Tests Distorted by Wellbore Storage Effects