1990
DOI: 10.2118/19398-pa
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The Unsteady-State Nature of Sorption and Diffusion Phenomena in the Micropore Structure of Coal: Part 2—Solution

Abstract: A single-phase, ID mathematical model, formulated in Part 1 of this study, is used to study unsteady-state micropore sorption in the composite micropore/fracture coalbed-methane-transport problem. The mathematical model is solved numerically by writing the transport equations in finite-difference form and linearizing the residual form of the difference equations with the generalized Newton-Raphson procedure. The numerical model is used to compare methane production rates predicted by unsteady-and quasisteadyst… Show more

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Cited by 30 publications
(14 citation statements)
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“…Diffusion is the process where flow occurs as a result of random molecular motion from a location of high concentration to a location of lower concentration (Kolesar et al, 1990a(Kolesar et al, , 1990bSmith and Williams, 1984;and Crank, 1975). Diffusion in coal is a combination of Knudsen, bulk, and surface diffusions, depending on the coal structure and pressure (Smith and Williams, 1984).…”
Section: Diffusionmentioning
confidence: 99%
“…Diffusion is the process where flow occurs as a result of random molecular motion from a location of high concentration to a location of lower concentration (Kolesar et al, 1990a(Kolesar et al, , 1990bSmith and Williams, 1984;and Crank, 1975). Diffusion in coal is a combination of Knudsen, bulk, and surface diffusions, depending on the coal structure and pressure (Smith and Williams, 1984).…”
Section: Diffusionmentioning
confidence: 99%
“…This term is defined as follows: 144 a v rni qt = -Y---at (5) In Equation 5, V rni represents the volumetric methane concentration in the micropore which is a strong function of pressure. The constant y is a conversion factor with a numerical value of 5.615 and units of cubic feet per reservoir barrels 14 (7) At this point, we introduce the sorption functional group. This variable will play a critical role in combining the gas and water equations into a single relationship.…”
Section: Formulationmentioning
confidence: 99%
“…Pseudo-statedy state sorption formulation is mathematically less rigorous than unsteady state formulation which requires more computational work and memory when implemented in the numerical models. Although long term forecasts of these two models do not differ significantly, 12 Spencer et aI. 13 concluded that the early time predictions obtained using pseudo-steady state approach may not be accurate.…”
Section: Introductionmentioning
confidence: 96%