Smoothed particle hydrodynamics and its applications for multiphase flow and reactive transport in porous media

Tartakovsky, Alexandre M.; Trask, Nathaniel; Pan, K.; Jones, Bruce D.; Pan, Wenxiao; Williams, John R.

doi:10.1007/s10596-015-9468-9

Cited by 90 publications

(67 citation statements)

References 84 publications

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“…In addition to the above three methods, smoothed particle hydrodynamics [74][75][76] is another widely used numerical method for multi-phase flow in porous media [77]. As a mesh-less method, the smoothed particle hydrodynamics method uses the discrete technique in the particle method to solve the Navier-Stokes equation and guarantee multi-phase interface sharpness without the tracking of the two-phase or multi-phase interface.…”

Section: Smoothed Particle Hydrodynamicsmentioning

confidence: 99%

Advances in Pore-Scale Simulation of Oil Reservoirs

Wang

et al. 2018

Energies

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Abstract:At the high water cut stage, the residual oil in a reservoir becomes complex and dispersed. Moreover, it is challenging to achieve good predictions of the movement of oil and water in a reservoir according to the macroscopic models based on the statistic parameters of this scenario. However, pore-scale simulation technology based on directly tracking the interaction among different phases can make an accurate prediction of the fluid distribution in the pore space, which is highly important in the improvement of the recovery rate. In this work, pore-scale simulation methods, including the pore network model, lattice Boltzmann method, Navier-Stokes equation-based interface tracking methods, and smoothed particle hydrodynamics, and relevant technologies are summarized. The principles, advantages, and disadvantages, as well as the degree of difficulty in the implementation are analyzed and compared. Problems in the current simulation technologies, micro sub-models, and applications in physicochemical percolation are also discussed. Finally, potential developments and prospects in this field are summarized.

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Section: Smoothed Particle Hydrodynamicsmentioning

confidence: 99%

Advances in Pore-Scale Simulation of Oil Reservoirs

Wang

et al. 2018

Energies

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“…They reviewed different LB methods, discussed their advantages and disadvantages, and concluded that one method cannot be necessarily the most preferred one. In another review paper by Tartakovsky et al [15], the SPH method as a Lagrangian method based on a meshless discretization of partial differential equations is discussed. They present the Navier-Stokes and advection-diffusion-reaction equations, implementation of various boundary conditions, and time integration of the SPH equations, and they discuss applications of the SPH method for modelling porescale multiphase flows and reactive transport in porous and fractured media.…”

Section: Focus Of This Special Issuementioning

confidence: 99%

Pore-scale modelling techniques: balancing efficiency, performance, and robustness

Niasar

2016

Comput Geosci

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BackgroundPore-scale modelling is now a well-established progressive research field, which has significantly contributed to fundamental understanding of flow and transport in porous media in the last five decades. Examples can be (and not limited to) reservoir engineering [1][2][3][4], environmental hydrogeology [5], paper and pulp industry [6], fuel cells [7], biology, and medical science [8].The first pore-scale model was developed by Fatt in 1956 [9], who simulated the capillary pressure curve as a function of saturation using a pore-network model. After this legendary work, pore-network models, mainly dominated by quasi-static pore-network models, were developed and applied to reservoir engineering and hydrogeology problems. The pore-network modelling opened up a new horizon in understanding the constitutive relations for two-phase flow such as capillary pressure and relative permeability curves [10,11], and at a later stage exploring the transport phenomena in porous media [12]. With further technological developments in micromodel and X-ray imaging facilities and computational infrastructures, quantitative pore-network models were further developed [13]. Almost all pore-network models for different applications share the common principles: they require analytical or semianalytical solutions for a given specific research problem at the pore scale, meaning that the domain geometry requires to be well defined. That implies that the idealization of pore space to interconnected simplified geometries is inevitable.To alleviate this restriction of pore-network models, direct numerical modelling techniques are employed where the equations are solved numerically on the original pore space without any geometrical idealization. The most commonly used method is lattice Boltzmann (LB) modelling. However, there are several other methods such as smoothed particle hydrodynamics (SPH), level set (LS), volume of fluids (VoF), and density functional method (DFM), which can handle the numerical simulation within the exact geometry. Focus of this special issueThis special issue presents reviews of three major direct numerical methods, namely LB, SPH, and DFM, to simulate complex processes in porous media. Liu et al. [14] reviewed simulation of single-phase and multiphase multicomponent flow at pore level using the LB method. They reviewed different LB methods, discussed their advantages and disadvantages, and concluded that one method cannot be necessarily the most preferred one. In another review paper by Tartakovsky et al. [15], the SPH method as a Lagrangian method based on a meshless discretization of partial differential equations is discussed. They present the Navier-Stokes and advection-diffusion-reaction equations, implementation of various boundary conditions, and time integration of the SPH equations, and they discuss applications of the SPH method for modelling porescale multiphase flows and reactive transport in porous and fractured media. In another review paper by Dinariev and Evseev [16], applications of densit...

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“…3. The convergence with increasing particle resolution in a disturbed system is only guaranteed with higher-order methods (Fatehi and Manzari 2011;Tartakovsky et al 2015).…”

Section: The Simulations Are Performed With Open Boundaries This Meamentioning

confidence: 99%

“…First SPH simulations of multi-phase flow in porous structures on, the pore scale have been performed by Tartakovsky and Meakin (2006) and Tartakovsky et al (2015). Still comparisons with experiments are very rare and focus mostly on the dynamics of a single interface, B P. Kunz philip.kunz@icvt.uni-stuttgart.de 1 like a capillary rise.…”

Section: Introductionmentioning

confidence: 99%

Study of Multi-phase Flow in Porous Media: Comparison of SPH Simulations with Micro-model Experiments

et al. 2015

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We present simulations and experiments of drainage processes in a micro-model. A direct numerical simulation is introduced which is capable of describing wetting phenomena on the pore scale. A numerical smoothed particle hydrodynamics model was developed and used to simulate the two-phase flow of immiscible fluids. The experiments were performed in a micro-model which allows the visualization of interface propagation in detail. We compare the experiments and simulations of a quasistatic drainage process and pure dynamic drainage processes. For both, simulation and experiment, the interfacial area and the pressure at the inflow and outflow are tracked. The capillary pressure during the dynamic drainage process was determined by image analysis.

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Smoothed particle hydrodynamics and its applications for multiphase flow and reactive transport in porous media

Cited by 90 publications

References 84 publications

Advances in Pore-Scale Simulation of Oil Reservoirs

Advances in Pore-Scale Simulation of Oil Reservoirs

Pore-scale modelling techniques: balancing efficiency, performance, and robustness

Study of Multi-phase Flow in Porous Media: Comparison of SPH Simulations with Micro-model Experiments

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