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- Title
A Realistic Transport Model with Pressure-Dependent Parameters for Gas Flow in Tight Porous Media with Application to Determining Shale Rock Properties.
- Authors
Ali, Iftikhar; Malik, Nadeem A.
- Abstract
A nonlinear transport model for single-phase gas flow in tight porous media is developed. The model incorporates many important physical processes that occur in such porous systems: continuous flow, transition flow, slip flow, Knudsen diffusion, adsorption and desorption into and out of the rock material, and a correction for high flow rates. This produces a nonlinear advection-diffusion type of partial differential equation with pressure-dependent model parameters and associated compressibility coefficients, and highly nonlinear apparent convective flux (velocity) and apparent diffusivity. A key finding is that all model parameters should be kept pressure dependent for the best results. An application is to the determination of rock properties, such as porosity and permeability, by history matching of the simulation results to data from pressure-pulse decay tests in a rock core sample (Pong et al. in ASME Fluids Eng Div 197:51-56, <xref>1994</xref>).
- Subjects
HYDRAULIC fracturing; POROSITY; POROUS materials; X-ray diffraction; CRYSTAL structure
- Publication
Transport in Porous Media, 2018, Vol 124, Issue 3, p723
- ISSN
0169-3913
- Publication type
Article
- DOI
10.1007/s11242-018-1092-4