Rapid Evaluation of the Impact of Heterogeneity on Miscible Gas Injection

King, Micháel J.; Blunt, Martin J.; Mansfield, Mark; Christie, Michael

doi:10.2118/26079-ms

Cited by 23 publications

(7 citation statements)

References 17 publications

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“…Both finite difference and finite element methods are Eulerian. These methods handle dispersion-dominated transport accurately and efficiently, but in advection-dominated transport problems, Eulerian methods suffer from numerical dispersion and artificial oscillations, especially in the region of sharp concentration fronts [Kinzelbach, 1986;Bear and Verruijt, 1987]. In order to minimize numerical errors, small discretization in time and space is needed, which requires enormous and sometimes prohibitive computational effort, especially when considering field-scale 3061 …”

Section: Numerical Methods For Modeling Solute Transportmentioning

confidence: 99%

“…For example, adsorption has been modeled by adding a retardation factor to the mass transport equation [Wen and Kung, 1995;Goode and Konikow, 1989;Zheng and Bennett, 1995]. Radioactive decay has been included in particle tracking codes [Wen and Kung, 1995] through the addition of a decay constant X to the mass-transport equation [Kinzelbach, 1986]. Goode and Konikow [1989] modified the U.S. Geological Survey (USGS) method of characteristics code to account for decay as well as equilibrium-controlled sorption.…”

Section: Modeling Other Transport Processesmentioning

confidence: 99%

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Streamline‐based simulation of solute transport

Crane¹,

Blunt²

1999

Water Resources Research

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Abstract. We propose streamline-based simulation as a possible alternative to particle tracking for modeling solute transport. Like particle tracking, the pressure field is computed on an underlying grid using conventional techniques. The flow velocity at cell edges is then computed using Darcy's law, and this information is used to trace streamlines throughout the domain. In particle tracking, mass is transported by moving particles along streamlines. In the method we describe, a one-dimensional conservation equation is solved numerically along each streamline. If the flow field changes, the solute concentration is mapped onto the underlying grid and the streamlines are recomputed. The concentration is then mapped back onto the new streamlines, and the simulation proceeds as before. The method is suited for modeling advectively dominated multispecies transport in heterogeneous aquifers. We illustrate the streamline approach with synthetic example problems in fully saturated, confined aquifers: conservative, sorbing, and decaying tracer; a four-component radioactive decay chain; and saltwater intrusion where the flow field changes with time. Where possible, we compare the results with analytical solutions and results from particle tracking codes. It is natural to consider the use of streamline-based methods to model solute transport. Streamline methods have many similarities with particle tracking. In both cases the flow field is computed on a underlying grid using conventional numerical techniques, and contaminant mass is moved along streamlines. In particle tracking this mass is moved explicitly as a collection of particles, whereas in a streamline method the appropriate one-dimensional conservation equation is solved numerically along each streamline. Unlike conventional finite difference or In this paper we extend the streamline method to study a variety of contaminant transport problems. Where possible, the results are compared with other numerical codes and analytical solutions. First, to introduce this work, we provide a discussion of traditional approaches to model solute transport. Second, we describe the streamline method. Then, we apply this method to a variety of simple example problems in fully saturated confined aquifers: conservative, sorbing, and decaying tracer flow; a four component radioactive decay chain; and saltwater intrusion where the flow field changes with time. In conclusion, we propose streamline-based simulation as a possible alternative to particle tracking. Numerical Methods for Modeling Solute TransportTransport models can be categorized as Eulerian, Lagrangian, or mixed Eulerian-Lagrangian. In the Eulerian approach the transport equation is solved on a fixed spatial grid, so that concentrations are associated with fixed points or volume elements in space [Bear, 1972]. Both finite difference and finite element methods are Eulerian. These methods handle dispersion-dominated transport accurately and efficiently, but in advection-dominated transport problems, Eulerian methods suffer ...

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Section: Numerical Methods For Modeling Solute Transportmentioning

confidence: 99%

Section: Modeling Other Transport Processesmentioning

confidence: 99%

Streamline‐based simulation of solute transport

Crane¹,

Blunt²

1999

Water Resources Research

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“…King et. a2 [7] defined the time-of-flight, tof', to any location, s, as the time it takes to move along a given streamline from the injector to location s,…”

Section: Tracing Streamlines and Mapping A One-dimensional Solutionmentioning

confidence: 99%

Scale-up of miscible flood processes for heterogeneous reservoirs. Quarterly report, July 1, 1995--September 30, 1995

Orr¹

1995

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“…Stochastic methods often require a large number of expensive flow simulations in random reservoir realizations honoring the observed or assumed permeability spatial distribution. One very effective technique is to use streamtube simulations, which can be orders of magnitude faster than traditional finite difference simulations (Hewett & Behrens, 1991;King et al, 1993;Thiele, 1994; see also Bear, 1972, for application of the method to hydrology). The main assumption of the streamtube method is that displacements at the reservoir scale are dominated by the spatial variations of permeability and that the flow field can be viewed as a set of separate flow paths (usually called streamtubes).…”

Section: Introductionmentioning

confidence: 99%

Viscous Fingering and Preferential Flow Paths in Heterogeneous Porous Media

Tang

Bernabé

et al. 2020

JGR Solid Earth

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Preferential flow channeling and viscous fingering are widely observed phenomena in heterogeneous porous media from the pore scale to the core and reservoir scales. The transition from capillary to viscous fingering with increasing injection rate is also a well‐known phenomenon. Based on the previously observed visual similarity of viscous fingers and preferential single‐phase flow paths in 2‐D simulations, we postulate that these single‐ and two‐phase flow patterns should also be interrelated in 3‐D porous media. Capillary fingering is a manifestation of invasion percolation, a process restricted to the subnetwork of pores obtained from the critical path analysis. We investigated single‐phase flow channeling by applying a method similar to critical path analysis to the flow rate field and compared the subnetwork thus determined to the set of invaded pipes in drainage simulations. Our aim is to quantify the relation between preferential flow paths and viscous fingering, its dependence on pore‐scale heterogeneity and pore connectivity, and ultimately to upscale the network observations to the field scale appropriate for the engineering applications involving drainage in heterogeneous media.

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Rapid Evaluation of the Impact of Heterogeneity on Miscible Gas Injection

Cited by 23 publications

References 17 publications

Streamline‐based simulation of solute transport

Streamline‐based simulation of solute transport

Scale-up of miscible flood processes for heterogeneous reservoirs. Quarterly report, July 1, 1995--September 30, 1995

Viscous Fingering and Preferential Flow Paths in Heterogeneous Porous Media

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