Semi-numerical solution to a fractal telegraphic dual-porosity fluid flow model

A Simplified Dual-Porosity Model for Two-Phase Flow

A model for two-phase, incompressible, immiscible fluid flow in a highly fractured porous medium is derived as a simplification of a much more detailed dual-porosity model. This simplified model has a nonlinear matrixfracture interaction, and it is more general than similar existing “transfer function” models. It is computationally less complex than the detailed model, and simulation results ar...

The Transient Flow Analysis of Fluid in a Fractal, Double-Porosity Reservoir

Themathematical model for transient fluid flow in porous media is based in general on mass conservation principle. Because of the small compressibility of formation fluid, the quadratic term of pressure gradient is always ignored to linearize the non-linear diffusion equation. This may result in significant errors in model prediction, especially at large time scale. In order to solve this probl...

Solution and Type Curve Analysis of Fluid Flow Model for Fractal Reservoir

Conventional pressure-transient models have been developed under the assumption of homogeneous reservoir. However, core, log and outcrop data indicate this assumption is not realistic in most cases. But in many cases, the homogeneous models are still applied to obtain an effective permeability corresponding to fictitious homogeneous reservoirs. This approach seems reasonable if the permeability...

Applying a Modified Two-Fluid Model to Numerical Simulation of Two-Phase Flow in the Membrane Chlor-Alkali Cells

In this study, gas evolution in a vertical electrochemical cell is investigated numerically with a modified two-fluid model. The mathematical model involves solution of separate transport equation for the gas and liquid phases with an allowance to inter-phase transfer of mass and momentum. The governing equations are discreted via the finite volume technique and then are solved by ...

A New Approach to the Numerical Solution of Dual Fully Fuzzy Polynomial Equations