... This section describes the conceptual model and presents the diffusion-based model for mass transport through carbonate permeable media. The diagram illustrates the conceptual model for 1D mass transport of multiple components through a variable-saturated carbonate medium. The mass transport...

... integrity. On the other hand, due to the high CO2 concentration gradient, the diffusion process plays a significant role in CO 2 storage. The wealth of information collected throughout the lifetime of those wells, including the adsorption and diffusion rates, ensures precise planning and safe...

... Abstract This study introduces a radial space-time fractional-diffusion (ST-FD) model, now adapted for Laplace space. This model incorporates dual porosity factors and, when applied to well tests in naturally fractured reservoirs, addresses the effects of rock heterogeneity in fractured...

... The anomalous diffusion equation is derived by incorporating a flux law for anomalous diffusion into the mass balance equation. Fomin et al. (2011) and Chen and Raghavan (2015) have discussed the single-phase flux law for anomalous diffusion, which is a phenomenological, constitutive relation...

... of compositional diffusion vs. momentum diffusion induced by forced convection are explored both in simulation and overall fluid mechanics analysis, which helps both to validate the results and extend the range of applicable parameters. Modeling results and simple fluid mechanics estimates also establish...

... methodology. Subsequently, we proposed a numerical model that fully coupled the evolution of relative permeability and capillary pressure with the dynamic processes of emulsification, solubilization, and molecular diffusion. All tested fluids exhibited favorable density (1.05-1.07 g/cm 3 ) and viscosity (1.0...

... Abstract We present a mathematical model for one-dimensional gas transport in organic-rich nanoporous media subject to nonequilibrium sorption. The model is developed from two governing equations to simulate Knudsen diffusion and viscous flow in the free phase, and surface diffusion...

... higher than that of H 2 under similar conditions. Conversely, the measured CO 2 diffusivity is an order of magnitude lower than the diffusivity of H 2 . The results also show that IFT increases with increasing salinity in both brine-gas systems and decreases with pressure, nevertheless, the reduction...

... ; Zhang et al., 2017 ). The relative magnitude of advective transport over diffusive transport is often assessed by Péclet number, Pe. The dimensionless group is defined by the ratio of the diffusive to advective timescales, as follows, (1) P e = L 2 / D L / u c...

... causing its consumption and modifying the geochemical environment of a UHS system ( Panfilov, 2016 ) (Zivar et al., 2020). Furthermore, the mixing between hydrogen and the original gas, due to diffusive and dispersive phenomena at different scales, affects the purity of the produced gas stream...

... This paper first reviews the two classical DCA models, Arps and SEPD. Then, based on the successful applications of the anomalous diffusion concept in unconventional reservoirs and the recently developed fractional decline curve model, we present our discovery that the two-parameter ML function...

... and estimate reserves. RFG enables the same workflow to be performed on reservoir fluids to address a variety of chemical and physical processes that may occur during and after charge to present day, such as diffusion, convection, advection, phase change, along with traditional geochemical processes...

... the matched component by the simulation, the wellbore temperature and pressure profiles are reliably predicted, and the envelope relationship in phase behavior of condensate gas flow is reasonably determined. Thermal and molecular diffusion are still the main mechanisms for driving wax deposition behavior...

... transport models beyond the classical Darcian framework. Shales primarily consist of clays, quartz, calcite, and some fragments of organic matters known as kerogen. The latter can be envisioned as naturally occurring nanoporous media where diffusion is believed to be the predominant transport mechanism...

... The conceptual model holds the following assumptions: Mass transport by diffusion alone remains in one direction along the x -direction. Advection is assumed negligible due to the extremely low permeability of nanoporous media. Single-component, two fluid phases—free and sorbed phases...

... relative permeability hysteresis, diffusion, and sorption. A dual-porosity naturally fractured numerical compositional model is used that considers molecular diffusion and sorption to represent the flow mechanisms during the injection process. Killough's method, Langmuir's adsorption model, and Sigmund...

..., reservoir fluid geodynamics (RFG). Several reservoirs are reviewed employing RFG evaluation of connectivity via asphaltene thermodynamics. RFG processes in reservoris often include diffusion, RFG models incorporating simple solution to the diffusion equation coupled with quasi-equilibrium with the FHZ EoS...

... of nanopores in which the notion of viscous flow may become irrelevant. Instead, multiple transport and storage mechanisms should be considered to model fluid transport within the shale matrix, including molecular diffusion, Knudsen diffusion, surface diffusion, and sorption. This paper presents a diffusion...

... reservoir simulation upstream oil & gas equilibrium co 2 connectivity boycott effect solution gas equilibration lateral gradient density inversion diffusion gradient Introduction Reservoir Fluid Geodynamics (RFG) In order to understand current manifestations of a reservoir...

... mechanisms in these processes (diffusion, dispersion, advection and capillary pressure) were examined within the context of the derived scaling groups using reservoir simulation of SBH at three different geometric scales, ranging from the laboratory scale through a semi-field scale to the field scale...