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Particle Detachment Under Velocity Alternation During Suspension Transport in Porous Media

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Abstract

Flow of suspensions in porous media with particle capture and detachment under alternate flow rates is discussed. The mathematical model contains the maximum retention concentration function of flow velocity that governs the particle release and is used instead of equation for particle detachment kinetics from the classical filtration model. An analytical model for suspension injection with alternate rates was derived, and a coreflood by suspension with alternate rates was carried out. The modelling and laboratory data are in a good agreement, which validates the modified particle detachment model with the maximum retention function.

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Abbreviations

c :

Suspended particle concentration, L−3

C :

Dimensionless suspended particle concentration

D :

Erosion front velocity, LT−1

F :

Force, MLT−2

J :

Impedance (normalized pressure drop on the core)

k :

Absolute permeability, L2

L :

Core (reservoir) length, L

m :

Growth coefficient of the normalized pressure drop

p :

Pressure, MT−2L−1

P :

Dimensionless pressure

PVI:

Pore volume injected (dimensionless unit for time t D)

q :

Flow rate via core

r s :

Radius of a particle, L

S :

Dimensionless retained particle concentration

t :

Time, T

U :

Darcy’s velocity in porous media, LT−1

v :

Volume of a single particle

x :

Coordinate, L

β :

Formation damage coefficient

Δ:

Difference between two values (pressure, retained concentration)

\({\varepsilon}\) :

Erosion number (ratio between the drag and normal forces)

χ :

Dimensional filtration coefficient, 1/L

λ:

Dimensionless filtration coefficient

μ :

Dynamic viscosity, ML−1T−1

σ :

Concentration of retained particles, L−3

\({\phi}\) :

Porosity

ψ :

Surface potential, mV

cr:

Critical (for retained concentration and co-ordinate of erosion front)

D:

Dimensionless (for linear co-ordinate and time)

i:

Initial condition (for suspended and retained concentrations)

n:

Normal (for force)

s:

Straining (for retained concentration and formation damage coefficient)

0:

Initial value (for permeability)

0:

inlet value (for suspended concentration)

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Authors and Affiliations

  1. Australian School of Petroleum, University of Adelaide, Adelaide, Australia

    Pavel Bedrikovetsky & Abbas Zeinijahromi

  2. State North Fluminense University of Rio de Janeiro UENF, Rio de Janeiro, Brazil

    Fernando D. Siqueira

  3. Petrobras, Research Centre CENPES, Rio de Janeiro, Brazil

    Claudio A. Furtado & Antonio Luiz S. de Souza

Authors
  1. Pavel Bedrikovetsky
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  2. Abbas Zeinijahromi
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  3. Fernando D. Siqueira
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  4. Claudio A. Furtado
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  5. Antonio Luiz S. de Souza
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Correspondence to Pavel Bedrikovetsky.

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Dedication: The article is dedicated to memory of Vladimir Markovich Entov.

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Bedrikovetsky, P., Zeinijahromi, A., Siqueira, F.D. et al. Particle Detachment Under Velocity Alternation During Suspension Transport in Porous Media. Transp Porous Med 91, 173–197 (2012). https://doi.org/10.1007/s11242-011-9839-1

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