Percorrer por autor "Razminia, Abolhassan"
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- Analysis of diffusion process in fractured reservoirs using fractional derivative approachPublication . Razminia, Kambiz; Razminia, Abolhassan; Machado, J. A. TenreiroThe fractal geometry is used to model of a naturally fractured reservoir and the concept of fractional derivative is applied to the diffusion equation to incorporate the history of fluid flow in naturally fractured reservoirs. The resulting fractally fractional diffusion (FFD) equation is solved analytically in the Laplace space for three outer boundary conditions. The analytical solutions are used to analyze the response of a naturally fractured reservoir considering the anomalous behavior of oil production. Several synthetic examples are provided to illustrate the methodology proposed in this work and to explain the diffusion process in fractally fractured systems.
- Analytical Solution of Fractional Order Diffusivity Equation With Wellbore Storage and Skin EffectsPublication . Razminia, Kambiz; Razminia, Abolhassan; Machado, J. A. TenreiroThis paper addresses the model, solution, and analysis of fluid flow behavior in fractal reservoirs considering wellbore storage and skin effects (WS–SE). In the light of the fractional calculus (FC), the general form of fluid flow model considering the history of flow in all stages of production is presented. On the basis of Bessel functions theory, analytical solutions in the Laplace transform domain under three outer-boundary conditions, assuming the well is producing at a constant rate, are obtained. Based on the analytical solutions, various examples, discussing the pressure-transient behavior of a well in a fractal reservoir, are presented.