Based on the porous flow theory, an extension of the pseudo-functions approach for the solution of non-linear partial differential equations considering adsorption-desorption effects was used to investigate the transient flow behavior of fractured wells in shale gas reservoirs. The pseudo-time factor was employed to effectively linearize the partial differential equations of the unsteady flow r...

[1] This paper presents an approximate analytical solution for non-Darcy flow of a slightly compressible fluid through a fractured reservoir. The analytical solution is obtained using the traditional Warren-Root solution superposed on a dimensionless non-Darcy flow coefficient. The model formulation incorporates the Forchheimer equation into the Warren-Root model for describing non-Darcy flow t...

The objective of this work is to innovatively apply the boundary element method (BEM) as a general modeling strategy deal with complicated reservoir problems, especially those related heterogeneity and fracture systems, which are common challenges encountered in practice engineering. transient flow behaviors reservoirs containing multi-scale heterogeneities enclosed by arbitrarily shaped bounda...

Due to the complexity imposed by all attributes of fracture network many naturally fractured reservoirs, it has been observed that fluid flow does not necessarily represent a normal diffusion, i.e., Darcy’s law. Thus, capture sub-diffusion process, various tools have implemented, from fractal geometry characterize structure porous medium fractional calculus include memory effect in flow. Consid...