A Trilinear Flow Model of Vertical Fractured Dual Porosity Media Considering the Quadratic Gradient Term

摘要

Based on the mass conservation principle and the Darcy's law, a double porosity media-trilinear flow model is established, including the effect of the quadratic gradient, wellbore storage and skin coefficient. The quadratic gradient term is eliminated by using logarithm transformation and different schemes are built and solved by Newton method. The effect of double porosity parameters, fracture flow capacity, the quadratic gradient term and skin coefficient on dimensionless pressure is discussed. The plots of typical pressure curves are given, and the results can be applied to well test analysis of fractured dual media.