Insights into non‐Fickian solute transport in carbonates

Bijeljic, Branko; Mostaghimi, Peyman; Blunt, Martin J.

doi:10.1002/wrcr.20238

Cited by 134 publications

(128 citation statements)

References 76 publications

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“…In the same figure, we also provide previously published transport simulation data for a sandpack, Berea sandstone, and Portland carbonate together with the compilation of experimental data for unconsolidated beadpacks/sandpacks, as analyzed in Bijeljic et al (2011). The results for Bentheimer and Doddington agree well with the previously published results for Berea-the sandstone data lie between the beadpack/sandpack data and the carbonate data, further confirming that transport heterogeneity increases from the beadpack to sandstones to carbonates as a result of an increase in pore structure and velocity field heterogeneity (Bijeljic et al 2013a, b). Furthermore, Fig.…”

Section: Transport and Reaction Simulationsupporting

confidence: 85%

“…Moreover, the distributions for Doddington and Bentheimer are spread more widely in comparison with the beadpack: they have a larger number of fast velocities and, in particular, a significantly higher number of stagnant velocities. This means that their transport characteristics are expected to be more non-Fickian (Bijeljic et al 2013a, b). In addition, the visual presentation of the velocity field (see Fig.…”

Section: Flow Simulationsmentioning

confidence: 99%

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The Impact of Pore Structure Heterogeneity, Transport, and Reaction Conditions on Fluid–Fluid Reaction Rate Studied on Images of Pore Space

2016

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We perform direct numerical simulation using a pore-scale fluid-fluid reactive transport model (Alhashmi et al. in J Contam Hydrol 179:171-181, 2015. doi:10.1016/j. jconhyd.2015 to investigate the impact of pore structure heterogeneity on the effective reaction rate in different porous media. We simulate flow, transport, and reaction in three pore-scale images: a beadpack, Bentheimer sandstone, and Doddington sandstone for a range of transport and reaction conditions. We compute the reaction rate, velocity distributions, and dispersion coefficient comparing them with the results for non-reactive transport. The rate of reaction is a subtle combination of the amount of mixing and spreading that cannot be predicted from the non-reactive dispersion coefficient. We demonstrate how the flow field heterogeneity affects the effective reaction rate. Dependent on the intrinsic flow field heterogeneity characteristic and the flow rate, reaction may: (a) occur throughout the zones where both resident and injected particles exist (for low Péclet number and a homogeneous flow field), (b) preferentially occur at the trailing edge of the plume (for high Péclet number and a homogeneous flow field), or (c) be disfavored in slow-moving zones (for high Péclet number and a heterogeneous flow field).

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Section: Transport and Reaction Simulationsupporting

confidence: 85%

Section: Flow Simulationsmentioning

confidence: 99%

The Impact of Pore Structure Heterogeneity, Transport, and Reaction Conditions on Fluid–Fluid Reaction Rate Studied on Images of Pore Space

2016

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“…Simulations of flow through pore space images have determined that there is a billionfold variation in local flow velocities even across millimeter-size samples [3,4]. This can lead to highly anomalous (or non-Fickian) transport, which is supported by evidence from centimeter-scale experiments [3,5].…”

Section: Introductionmentioning

confidence: 93%

“…In this context, anomalous behavior denotes transport processes that cannot be described by an interpretation based on the classical advection-dispersion equation [6]. Such behavior arises from the complex and heterogeneous structure of natural porous media and is embedded in solute breakthrough curves characterized by early breakthrough and long tails as well as by non-Gaussian distributions of spatial displacements and of Lagrangian velocity increments (see [4] and references therein). Theoretical continuum-scale models for non-Fickian transport have been reviewed previously [6,7].…”

Section: Introductionmentioning

confidence: 99%

Statistical scaling of pore-scale Lagrangian velocities in natural porous media

et al. 2014

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We investigate the scaling behavior of sample statistics of pore-scale Lagrangian velocities in two different rock samples, Bentheimer sandstone and Estaillades limestone. The samples are imaged using x-ray computer tomography with micron-scale resolution. The scaling analysis relies on the study of the way qth-order sample structure functions (statistical moments of order q of absolute increments) of Lagrangian velocities depend on separation distances, or lags, traveled along the mean flow direction. In the sandstone block, sample structure functions of all orders exhibit a power-law scaling within a clearly identifiable intermediate range of lags. Sample structure functions associated with the limestone block display two diverse power-law regimes, which we infer to be related to two overlapping spatially correlated structures. In both rocks and for all orders q, we observe linear relationships between logarithmic structure functions of successive orders at all lags (a phenomenon that is typically known as extended power scaling, or extended self-similarity). The scaling behavior of Lagrangian velocities is compared with the one exhibited by porosity and specific surface area, which constitute two key pore-scale geometric observables. The statistical scaling of the local velocity field reflects the behavior of these geometric observables, with the occurrence of power-law-scaling regimes within the same range of lags for sample structure functions of Lagrangian velocity, porosity, and specific surface area.

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“…In addition to rock characterization, this work contributes to understanding solute transport in tight gas sandstone and carbonate reservoirs for enhanced oil recovery and carbon storage and sequestration. For instance, Bijeljic et al [2013] showed non-Fickian behavior of solute propagation in several carbonate rock samples imaged by X-ray microtomography. However, subresolution micropores (less than 7 mm) were not captured in their method due to micro-CT resolution limitations.…”

Section: Introductionmentioning

confidence: 99%

A forward analysis on the applicability of tracer breakthrough profiles in revealing the pore structure of tight gas sandstone and carbonate rocks

Mehmani

Prodanović

et al. 2015

Water Resources Research

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We explore tracer breakthrough profiles (TBP) as a macroscopic property to infer the porespace topology of tight gas sandstone and carbonate rocks at the core scale. The following features were modeled via three-dimensional multiscale networks: microporosity within dissolved grains and pore-filling clay, cementation in the absence and presence of microporosity (each classified into uniform, porepreferred, and throat-preferred modes), layering, vug, and microcrack inclusion. A priori knowledge of the extent and location of each process was assumed to be known. With the exception of an equal importance of macropores and pore-filling micropores, TBPs show little sensitivity to the fraction of micropores present. In general, significant sensitivity of the TBPs was observed for uniform and throat-preferred cementation. Layering parallel to the fluid flow direction had a considerable impact on TBPs whereas layering perpendicular to flow did not. Microcrack orientations seemed of minor importance in affecting TBPs.

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Insights into non‐Fickian solute transport in carbonates

Cited by 134 publications

References 76 publications

The Impact of Pore Structure Heterogeneity, Transport, and Reaction Conditions on Fluid–Fluid Reaction Rate Studied on Images of Pore Space

The Impact of Pore Structure Heterogeneity, Transport, and Reaction Conditions on Fluid–Fluid Reaction Rate Studied on Images of Pore Space

Statistical scaling of pore-scale Lagrangian velocities in natural porous media

A forward analysis on the applicability of tracer breakthrough profiles in revealing the pore structure of tight gas sandstone and carbonate rocks

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