Depth Filtration:  Fundamental Investigation through Three-Dimensional Trajectory Analysis

Cushing, Robert S.; Lawler, Desmond F.

doi:10.1021/es9707567

Cited by 94 publications

(84 citation statements)

References 16 publications

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“…In the first approach (Lagrangian method) the particles are tracked and are coupled with the flow equations via interaction terms (Yao et al, 1971;Rajagopalan and Tien, 1976;Logan et al, 1995;Cushing and Lawler, 1998;. In the other approach (Eulerian methods) the nanoparticles are not tracked and a balance equation for the mass of the particles is derived.…”

Section: Transport Models Of Nanoparticlesmentioning

confidence: 99%

Numerical investigation of nanoparticles transport in anisotropic porous media

Salama

Negara

El-Amin

et al. 2015

Journal of Contaminant Hydrology

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In this work the problem related to the transport of nanoparticles in anisotropic porous media is investigated numerically using the multipoint flux approximation. Anisotropy of porous media properties are an essential feature that exist almost everywhere in subsurface formations. In anisotropic media, the flux and the pressure gradient vectors are no longer collinear and therefore interesting patterns emerge. The transport of nanoparticles in subsurface formations is affected by several complex processes including surface charges, heterogeneity of nanoparticles and soil grain collectors, interfacial dynamics of double-layer and many others. We use the framework of the theory of filtration in this investigation. Processes like particles deposition, entrapment, as well as detachment are accounted for. From the numerical methods point of view, traditional twopoint flux finite difference approximation cannot handle anisotropy of media properties. Therefore, in this work we use the multipoint flux approximation (MPFA). In this technique, the flux components are affected by more neighboring points as opposed to the mere two points that are usually used in traditional finite volume methods. We also use the experimenting pressure field approach which automatically constructs the global system of equations by solving multitude of local problems. This approach facilitates to a large extent the construction of the global system. A set of numerical examples is considered involving two-dimensional rectangular domain. A source of nanoparticles is inserted in the middle of the anisotropic layer. We investigate the effects of both anisotropy angle and anisotropy ratio on the transport of nanoparticles in saturated porous media. It is found that the concentration plume and porosity contours follow closely the principal direction of anisotropy of permeability of the central domain.

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Section: Transport Models Of Nanoparticlesmentioning

confidence: 99%

Numerical investigation of nanoparticles transport in anisotropic porous media

Salama

Negara

El-Amin

et al. 2015

Journal of Contaminant Hydrology

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show abstract

“…O'Melia and coworkers and Yao et al (1971) developed mechanistic models that have been improved in various ways. There have been significant modifications by Fitzpatrick & Spielman (1973), Rajagopalan & Tien (1976), Cushing & Lawler (1998), and Tufenkji & Elimelech (2003). These works explain the particle deposition process as a combined physical process of interception, sedimentation, and Brownian diffusion.…”

Section: Predictive Models For Filtration Coefficientmentioning

confidence: 99%

Filtration in Frac-Packs and its Impact on Injector Performance

Hwang

Lehardi

Sharma

2014

SPE International Symposium and Exhibition on Formation Damage Control

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The filtration of solids in the injection water in a frac-pack is the primary factor which controls the injectivity decline in fracpacked water injection well completions. The injectivity may decline rapidly or much more slowly depending on the degree of frac-pack filtration. The widening and lengthening of frac-packs and the associated loss of sand control are affected as well. However, there is no experimental data for the filtration coefficient in high velocity flows in frac-packs. In this research, the filtration coefficients were experimentally measured in high velocity flows encountered in frac-packs. The solid concentrations and pressure drops across proppant pack sections were measured to properly utilize filtration theory and permeability decline models. The filtration coefficients were measured at various flow rates and for different proppant sizes. Our experiments show that at high fluid velocities, the filtration coefficient is significantly lower than that estimated from prior correlations that are based on low velocity filtration.Our experimental results were used to obtain new empirical correlations for filtration coefficients at high flow rates in fracpacks. The experimental coefficients were used as the primary input into a well injectivity model. The proper estimation on the filtration enabled us to analyze the impact of injection rates and proppant selection on injector performance, i.e., predict longterm injection well behavior. The effect of particle filtration in the frac-pack and its effect on injector performance was captured accurately for the first time. The empirical correlations together with a model for frac-pack growth in the injection well allowed us to accurately estimate fracture dimensions and the long-term water injectivity of frac-packed injectors. These results can be used for frac-pack design, proppant selection and specification of injection water quality.

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“…The pressure drops and linear velocities were converted to characteristic dimensionless numbers-the modified friction factor and the modified Reynolds number, respectively. These values were compared with Forchheimer's equation, which is equivalently the same as Ergun's (1952) …”

Section: Background On Filtration In Frac Packsmentioning

confidence: 99%

Filtration in Frac Packs and Its Impact on Injector Performance

Hwang

Sharma

2014

SPE Production &Amp; Operations

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The filtration of solids in the injection water in a frac pack is the primary factor controlling the injectivity decline in frac-packed waterinjection-well completions. The injectivity may decline rapidly or much more slowly, depending on the degree of frac-pack filtration. The widening and lengthening of frac packs and the associated loss of sand control are affected also. However, there are no experimental data available for the filtration coefficient at high velocities that are typical in frac packs. In this research, the filtration coefficients were measured experimentally in high-velocity flows encountered in frac packs. The solid concentrations and pressure drops across proppantpack sections were measured and correlated with earlier filtration theory and permeability-decline models. The filtration coefficients were measured at various flow rates and for different proppant sizes. Our experiments show that at high fluid velocities, the filtration coefficient is significantly lower than that estimated from prior correlations that are based on low-velocity filtration.We have developed new empirical correlations for filtration coefficients at high flow rates in frac packs. The improved filtration coefficients were used as the primary input into a well-injectivity model. The proper estimation of the filtration enabled us to more accurately analyze the impact of injection rates and proppant selection on injector performance (i.e., predict long-term injection-well behavior). The effect of particle filtration in the frac pack, and its effect on injector performance, was captured accurately for the first time. The newly presented empirical correlations coupled with a model for frac-pack growth in the injection well allowed us to estimate accurately the fracture dimensions and the long-term water injectivity of frac-packed injectors. These results can be used for frac-pack design, proppant selection, and specification of injection-water quality.Effect of Frac-Pack Filtration on Injectivity. Suspended particles in the injection water can be deposited by various modes of

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Depth Filtration: Fundamental Investigation through Three-Dimensional Trajectory Analysis

Cited by 94 publications

References 16 publications

Numerical investigation of nanoparticles transport in anisotropic porous media

Numerical investigation of nanoparticles transport in anisotropic porous media

Filtration in Frac-Packs and its Impact on Injector Performance

Filtration in Frac Packs and Its Impact on Injector Performance

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