Modeling of External Filter Cake Build-up in Radial Geometry

Zinati, Farzad Farshbaf; Farajzadeh, R.; Currie, Peter K.; Zitha, Pacelli L.J.

doi:10.1080/10916460802105666

Cited by 36 publications

(11 citation statements)

References 16 publications

(7 reference statements)

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“…Similar approach was utilised for estimation of external filter cake thickness in the fractured and open-hole wells (Al-Abduwani et al 2005;Zinati et al 2009). …”

Section: Appendix a Derivation Of The Maximum Retention Function Formentioning

confidence: 99%

Modified Particle Detachment Model for Colloidal Transport in Porous Media

Siqueira²,

et al. 2010

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Particle detachment from the rock during suspension transport in porous media was widely observed in laboratory corefloods and for flows in natural reservoirs. A new mathematical model for detachment of particles is based on mechanical equilibrium of a particle positioned on the internal cake or matrix surface in the pore space. The torque balance of drag, electrostatic, lifting and gravity forces, acting on the particle from the matrix and the moving fluid, is considered. The torque balance determines maximum retention concentration during the particle capture. The particle torque equilibrium is determined by the dimensionless ratio between the drag and normal forces acting on the particle. The maximum retention function of the dimensionless ratio (dislodging number) closes system of governing equations for colloid transport with particle release. One-dimensional problem of coreflooding by suspension accounting for limited particle retention, controlled by the torque sum, allows for exact solution under the assumptions of constant filtration coefficient and porosity. The explicit formulae permit the calculation of the model parameters (maximum retention concentration, filtration and formation damage coefficients) from the history of the pressure drop across the core during suspension injection. The values for maximum retention concentration, as obtained from two coreflood tests, have been matched with those calculated by the torque balance on the micro scale.

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“…Similar approach was utilised for estimation of external filter cake thickness in the fractured and open-hole wells (Al-Abduwani et al 2005;Zinati et al 2009). …”

Section: Appendix a Derivation Of The Maximum Retention Function Formentioning

confidence: 99%

Modified Particle Detachment Model for Colloidal Transport in Porous Media

Siqueira²,

et al. 2010

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“…The equilibrium condition contains an empirical constant -lever arm ratio l. Treatment of nine laboratory tests on cross flow filtration provides the lever ratios varying from 162 to 693. Several other works present the lever ratio of the order of magnitude that significantly deviate from the above mentioned interval (see, Al-Abduwani et al 2005, Paiva et al 2006, Zinati et al 2009, Yuan et al 2012. The reason for this deviation is ignoring the electrostatic force and assuming the unit value for the permeate force correction factor Φ H .…”

Section: Discussionmentioning

confidence: 95%

Type Curves for Injectivity Decline

2013

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Injectivity decline is a wide spread phenomenon for seawater injection, produced water re-injection, disposal of produced water in aquifers and whatever waterflood project with a poor quality injected water. The typical injectivity decline curves appear for impedance (normalised reciprocal to well index) versus PVI. They consist of linear growth interval for deep bed filtration, another interval for the linear growth during formation of external filter cake, ending up with the stabilised value. This paper discusses the stabilised impedance calculation. The mathematical model for the stabilised impedance is based on the torque balance of attaching (electrostatic and permeate) and detaching (drag, lifting and gravity) forces exerting upon a particle on the cake surface. If compared with the previous models, this paper accounts for electrostatic force and for varying non-unit value of the permeate factor. It was shown that the electrostatic force can exceed other forces and cannot be neglected. Moreover, the permeate factor can highly exceed one. Accounting for the two above factors completely change the order of magnitude for the lever arm ratio as obtained from the stabilised injectivity, if compared with previous works. The lever arm was also calculated from the particle deformation by permeate and electrostatic forces using Hertz theory, resulting in the same order of magnitude as that obtained from well data. It validates the model for stabilised injectivity. Analysis of 35 injector histories results in probabilistic distributions for 5 injectivity impairment coefficients, including the lever arm ratio. It provides with fully predictive tool for injectivity decline.

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“…the Hele-Shaw flow 55 , see Figure 4). 6,[56][57] With pore concentration (𝑛) and pore opening size (𝐻), the porosity of porous rock can then be determined: [58][59]…”

Section: Deformation Of Reservoir Configurations Due To An Increasing...mentioning

confidence: 99%