Suspensions Sedimenting in a Horizontal Annulus – A Model for Oilfield Cements in Horizontal Wells

Robisson, Agathe; Liberto, Teresa; Dussan, B V Elizabeth

doi:10.1007/978-3-030-22566-7_7

Cited by 2 publications

(2 citation statements)

References 2 publications

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“…Subsequently, segregation phenomena which occurs when pumping a casing material along horizontal wells was also studied in an annular pipe domain. Numerical simulations using a Newtonian fluid were performed, and we were able to capture the avalanche and dome build-up effects observed in experimental observations of the particle distributions [79]. Additionally, a viscoelastic fluid was also employed at two different elasticity numbers El = 0.1 and 5.…”

Section: Discussionmentioning

confidence: 99%

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Finite volume simulations of particle-laden viscoelastic fluid flows: application to hydraulic fracture processes

Fernandes

Faroughi

Ribeiro

et al. 2022

Engineering with Computers

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Accurately resolving the coupled momentum transfer between the liquid and solid phases of complex fluids is a fundamental problem in multiphase transport processes, such as hydraulic fracture operations. Specifically we need to characterize the dependence of the normalized average fluid-particle force F on the volume fraction of the dispersed solid phase and on the rheology of the complex fluid matrix, parameterized through the Weissenberg number W i measuring the relative magnitude of elastic to viscous stresses in the fluid. Here we use direct numerical simulations (DNS) to study the creeping flow (Re ≪ 1) of viscoelastic fluids through static random arrays of monodisperse spherical particles using a finite volume Navier-Stokes/Cauchy momentum solver. The numerical study consists of N = 150 different systems, in which the normalized average fluid-particle force F is obtained as a function of the volume fraction φ (0 < φ ≤ 0.2) of the dispersed solid phase and the Weissenberg number W i (0 ≤ W i ≤ 4). From these predictions a closure law F (W i, φ) for the drag force is derived for the quasi-linear Oldroyd-B viscoelastic fluid model (with fixed retardation ratio β = 0.5) which is, on average, within 5.7% of the DNS results. Additionally, a flow solver able to couple Eulerian and Lagrangian phases (in which the particulate phase is modeled by the discrete particle method (DPM)) is developed, which incorporates the viscoelastic nature of the continuum phase and the closed-form drag law. Two case studies were simulated using this solver, in order to assess the accuracy and robustness of the newly-developed approach for handling particle-laden viscoelastic flow configurations with O(10 5 − 10 6 ) rigid spheres that are representative of hydraulic fracture operations. Three-dimensional settling processes in a Newtonian fluid and in a quasi-linear Oldroyd-B viscoelastic fluid are both investigated

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Section: Discussionmentioning

confidence: 99%

“…Particle segregation in pumped concrete is one of the big challenges encountered when creating casing for horizontal drilled wells [78,79]. In this case, particulate solids tend to segregate axially across the pipe due to differences in the size, density, shape and other properties of the constituent phases.…”

Section: Annular Pipe Flowmentioning

confidence: 99%

Finite volume simulations of particle-laden viscoelastic fluid flows: application to hydraulic fracture processes

Fernandes

Faroughi

Ribeiro

et al. 2022

Engineering with Computers

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Finite Volume Simulations of Particle-laden Viscoelastic Fluid Flows: Application To Hydraulic Fracture Processes

Fernandes

Faroughi²,

Ribeiro

et al. 2021

Preprint

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Accurately resolving the coupled momentum transfer between the liquid and solid phases of complex fluids is a fundamental problem in multiphase transport processes, such as hydraulic fracture operations. Specifically we need to characterize the dependence of the normalized average fluid-particle force < F > on the volume fraction of the dispersed solid phase and on the rheology of the complex fluid matrix, parameterized through the Weissenberg number Wi measuring the relative magnitude of elastic to viscous stresses in the fluid. Here we use direct numerical simulations (DNS) to study the creeping flow (Re << 1) of viscoelastic fluids through static random arrays of monodisperse spherical particles using a finite volume Navier-Stokes/Cauchy momentum solver. The numerical study consists of N = 150 different systems, in which the normalized average fluid-particle force <F> is obtained as a function of the volume fraction φ (0 < φ ≤ 0.2) of the dispersed solid phase and the Weissenberg number Wi (0 ≤ Wi ≤ 4). From these predictions a closure law < F >( Wi,φ ) for the drag force is derived for the quasi-linear Oldroyd-B viscoelastic fluid model (with fixed retardation ratio β = 0.5) which is, on average, within 5.7% of the DNS results. Additionally, a flow solver able to couple Eulerian and Lagrangian phases (in which the particulate phase is modeled by the discrete particle method (DPM)) is developed, which incorporates the viscoelastic nature of the continuum phase and the closed-form drag law. Two case studies were simulated using this solver, in order to assess the accuracy and robustness of the newly-developed approach for handling particle-laden viscoelastic flow configurations with O (10 5 − 10 6 ) rigid spheres that are representative of hydraulic fracture operations. Three-dimensional settling processes in a Newtonian fluid and in a quasi-linear Oldroyd-B viscoelastic fluid are both investigated using a rectangular channel and an annular pipe domain. Good agreement is obtained for the particle distribution measured in a Newtonian fluid, when comparing numerical results with experimental data. For the cases in which the continuous fluid phase is viscoelastic we compute the evolution in the velocity fields and predicted particle distributions are presented at different elasticity numbers 0 ≤ El ≤ 30 (where El = Wi/Re ) and for different suspension particle volume fractions.

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Suspensions Sedimenting in a Horizontal Annulus – A Model for Oilfield Cements in Horizontal Wells

Cited by 2 publications

References 2 publications

Finite volume simulations of particle-laden viscoelastic fluid flows: application to hydraulic fracture processes

Finite volume simulations of particle-laden viscoelastic fluid flows: application to hydraulic fracture processes

Finite Volume Simulations of Particle-laden Viscoelastic Fluid Flows: Application To Hydraulic Fracture Processes

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