... at × =L, in a formation containing a single fluid having a small and constant compressibility c, and a mobility λ. The system has a uniform and homogeneous hydraulic diffusivity η, and is initially at a uniform pressure Pi . Differential Equation For the dimensionless variables defined...

... thickness and finite conductivity. partial differential equation fluid flow compartmentalized system pressure transient testing transient flow model differential equation composite system pressure transient analysis equation of state upstream oil & gas interface fluid modeling...

... Abstract The fluid flows in porous medium is described by the diffusion type of partial differential equation. In deriving the flow equation for the constant compressibility fluids, an important assumption is made regarding the magnitude of the pressure gradient: it is assumed...

... Abstract The differential equation for flow of gases in a porous medium is non-linear and cannot be solved by strictly analytical methods. Previous studies in the literature have obtained analytical solutions to this equation by linearization (i.e. treating viscosity and compressibility...

... Abstract This study consists of a theoretical examination of transient gas flow through a pipeline containing a compressor. The system considered is comprised of a line of length L l + L 2 with a compressor located at point L 1 . The differential equations describing flow through...