... Abstract In this study, an extended version of the fractional decline model is analytically developed for gas flow in fracture reservoir using the anomalous diffusion equation incorporated with the fractional calculus and equation of state. The model can represent the heterogeneity of complex...

... diffusive time flow in porous media history matching discretization pressure drop diffusivity equation boundary scaling method reservoir simulation drillstem/well testing calculation realization unconventional resource technology conference pss coordinate eikonal equation transmissibility...

... of poroelasticity was utilized to develop a geomechanical well testing technique, which attains estimation of reservoir's poroelastic properties. The technique is on the basis of developing a diffusivity equation incorporating mechanical deformation into the fluid transport in porous media and via applying...

... In order to develop the analytical model, we need to write the diffusivity equations for all of the reservoir regions as well as the fault zone. Fault zone pressure is different at each reservoir/fault interface, therefore, we need to write separate flow equations for different parts of the fault...

... However, the use of pseudopressure only linearizes the left-hand-side of the diffusivity equation. The strong pressure dependency of the remaining nonlinear coefficient on the right-hand-side of the PDE— namely, pressure-dependent hydraulic diffusivity coefficient--cannot be neglected without...

... gas injection drillstem/well testing oscillation production control Drillstem Testing frequency radial hydraulic diffusivity equation production monitoring gas lift reservoir pressure profile boundary condition Reservoir Surveillance Upstream Oil & Gas flow rate diffusivity equation...

.... The development was based on long-time approximate solutions of diffusivity equation in dual porosity system, for constant flow rate in a closed system with no-flow boundary. They were compared to exact solution in Laplace Space using Gaver-Stehfest algorithm. Then applying the appropriate dimensionless...

... media while the remainder is transmitted into the other media. A ‘pressure wave’ behaves in a similar way when it reaches a boundary in the reservoir. Therefore, we have incorporated reflection and transmission coefficients into the drawdown solution of the diffusivity equation. We used a channel...

... identification and diffusivity equation. (2) A verification of the new method using a simulated model. (3) Examples of a single well and 5 well pads illustrating the new method. (4) Discussion and conclusions. The aim of this paper is to present a new method that can be applied to water data from both flowback...

... the generalized diffusivity equation, which takes into account flow-induced stress changes. Firstly, a generalized diffusivity equation is formulated by considering a deformable porous medium. The main goal of the generalized diffusivity equation is to extend current well testing methods to include both fluid...

... Diffusivity Equation and show that it is more fundamental than the classic linear and radial diffusivity equations. Subsequently, we combine the Fractal Diffusivity Equation with the trilinear flow model ( Lee and Brockenbrough 1986 ), culminating in a new semi-analytic solution for flow in a finite...

... Abstract In transient real gas flow in porous media the fluid properties are pressure-dependent which makes the diffusivity equation nonlinear. The gas well testing literature shows few attempts to derive exact solutions that handle the nonlinearities analytically. Most of the published...

... Abstract "Real gas" flow problems ( i.e ., problems where the gas properties are specifically taken as implicit functions of pressure, temperature, and composition) are particularly challenging because the diffusivity equation for the "real gas" flow case is strongly non-linear. Whereas...

... The appropriate form of the diffusivity equation for this work is given as: (2) 1 r ∂ ∂ r [ k r ∂ p ∂ r ] = 1 0.0002637 ϕ μ c t ∂ p ∂ t   ( Field   units ) Recall that we have presumed a "liquid equivalent" case ( i.e...

... Abstract This paper presents the results of an investigation into the relationship between the dimensionless and dimensional pressure and rate-transient solutions of wells completed in low-permeability gas reservoirs. Solutions of the linear diffusivity equation are commonly used to model...

... fracturing reservoir surveillance diffusivity equation pressure transient analysis conductivity fracture production control leaky aquifer fracture half-length Introduction The leaky aquifer approach entered the petroleum literature for investigating the effectiveness of seals for gas storage...

... permeability faruk civan spe 63160 flow in porous media complex reservoir expression diffusivity equation prediction petroleum engineer Introduction The analysis of pressure transient in gas-condensate wells is strongly influenced by the presence of a liquid phase in the near wellbore region...

... integral equation diffusivity equation fluid dynamics production control galerkin horizontal well presence Introduction (3) d p ( s , ⋅ ) d s = − f ρ r w V ( s , ⋅ ) | V ( s , ⋅ ) | where s is the coordinate along the well length, and dp...

... in this section. The superposition equation, Eq. 1 , is only applicable when the diffusivity equation is linear. This condition is readily satisfied for the liquid case with constant viscosity, and with small and constant compressibility. However, for the gas case, fluid properties are strong functions...

.... The solution method is based on special transformation of variables which reduces the problem to a diffusivity equation with constant coefficients. This equation is then solved in the Laplace transform domain and the solution is inverted into the real time domain by the Stehfest algorithm. The solution method...