Numerical Modelling of Single and Multi-Phase Flow

A special issue of Water (ISSN 2073-4441). This special issue belongs to the section "Hydraulics and Hydrodynamics".

Deadline for manuscript submissions: closed (20 August 2022) | Viewed by 8115

Special Issue Editor

Reservoir Engineering Research Institute, Palo Alto, CA 94301, USA
Interests: single and multiphase flow and transport; compositional modeling; higher-order numerical methods; mixed finite element methods; phase behavior; equation of state
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Special Issue Information

Dear Colleagues,

Single and multiphase flow in porous media are common phenomena in nature and engineering. The numerical modeling and simulation of single and multiphase flow are crucial for a wide range of scientific and industrial applications at various spatial and temporal scales, with increased interests in recent years. Significant advances have been witnessed in numerical modeling and simulation techniques for single and multiphase flow, because of its importance to understand, predict, and optimize multiple scientific and industrial processes.

Potential topics of this Special Issue mainly include, but are not limited to:

  • Advanced physical models of single and multiphase flow
  • Novel numerical methods for single and multiphase flow
  • Mesh adaptation, model reduction and fast solvers
  • Multiscale and multiphysics modeling and simulation
  • Compositional multiphase flow and multicomponent modeling
  • Multiphase turbulent flow and its modeling
  • Stochastic process in multiphase flow and transport
  • Multiphase inverse modeling

I am pleased to share with you that Water is organizing a Special Issue for which I am the lead editor. The theme of the Special Issue is “Numerical modelling of Single and Multi-phase flow”. The authors in this Special Issue are by invitation. Both original research articles and review articles will be considered.

I cordially invite you to submit a paper to this Special Issue.  Please kindly let us know if you are interested.

Your manuscript will go through a quick review process, and the first round of review results should be ready a couple of months after your submission.

Dr. Ali Zidane
Guest Editor

Manuscript Submission Information

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Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Water is an international peer-reviewed open access semimonthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • Single phase flow
  • Multiphase flow
  • Compositional modeling
  • Numerical discretization
  • Porous media
  • Fractured and unfractured domains

Published Papers (4 papers)

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Research

16 pages, 9157 KiB  
Article
CO2 Viscosification for Mobility Alteration in Improved Oil Recovery and CO2 Sequestration
by Ali Zidane
Water 2023, 15(9), 1730; https://0-doi-org.brum.beds.ac.uk/10.3390/w15091730 - 29 Apr 2023
Cited by 2 | Viewed by 1144
Abstract
Recently there have been significant advances in the viscosification of CO2 using a low concentration of oligomers. The new engineered molecules do not adsorb onto rock. This paper studies the effects of different CO2-enhanced viscosity levels in subsurface aquifers and [...] Read more.
Recently there have been significant advances in the viscosification of CO2 using a low concentration of oligomers. The new engineered molecules do not adsorb onto rock. This paper studies the effects of different CO2-enhanced viscosity levels in subsurface aquifers and reservoirs. The study was conducted using numerical modeling and simulation tools in homogeneous, heterogenous, fractured, and unfractured media. The viscosity enhancement of CO2 varied from 2- to 20-fold. The simulations included homogeneous, layered, and fractured domains in 2D and in 3D for improved oil recovery. The results showed that in unfractured, homogenous, and layered media, a 10-fold viscosity increase leads to significant increases in oil recovery. In a fractured medium with a highly connected fracture network, a 20-fold viscosity enhancement may have a considerable effect in delaying breakthrough and improving oil recovery. Simulations were performed in a compositional three-phase flow based on higher-order discretization. The algorithm included Fickian diffusion, which may add to oil recovery performance when there is a sufficient surface area between the CO2-rich phase and the oil phase. In CO2 sequestration, an increase in the viscosity of CO2 and consequent mobility control promotes CO2 dissolution in the aqueous phase. Due to the increase in the density of the aqueous phase from CO2 dissolution, the CO2 is carried away from the cap rock to the bottom of the formation. This work is of particular importance in improved oil recovery and in safe CO2 sequestration due to solubility trapping and mitigation of pressure increase. The higher-order numerical scheme used in this simulation guarantees a level of accuracy not obtained in traditional simulators. Full article
(This article belongs to the Special Issue Numerical Modelling of Single and Multi-Phase Flow)
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10 pages, 1334 KiB  
Article
A Quasi-Single-Phase Model for Debris Flows Incorporating Non-Newtonian Fluid Behavior
by Chunchen Xia and Haoyong Tian
Water 2022, 14(9), 1369; https://0-doi-org.brum.beds.ac.uk/10.3390/w14091369 - 22 Apr 2022
Cited by 5 | Viewed by 1543
Abstract
Debris-flow modeling is a great challenge due to its complex physical mechanism that remains poorly understood. The present research incorporates the effect of rheological features of the non-Newtonian fluid into the complete quasi-single-phase mixture model, which explicitly accommodates the interactions between flow, non-uniform [...] Read more.
Debris-flow modeling is a great challenge due to its complex physical mechanism that remains poorly understood. The present research incorporates the effect of rheological features of the non-Newtonian fluid into the complete quasi-single-phase mixture model, which explicitly accommodates the interactions between flow, non-uniform sediment transport, and bed evolution. The effect of rheological features is estimated by Hersch–Bulkley–Papanastasiou model that can be simplified to Bingham or Newtonian models with specific coefficients. The governing equations are solved by a fully conservative numerical algorithm, using an explicit finite volume discretization with well-balanced slope-limited centered scheme combined with an implicit discretization method. One set of large-scaled U.S. Geological Survey debris-flow experiments is applied to investigate the influence of the non-Newtonian fluid on debris-flow modeling. It is found that the present model closed by Hersch–Bulkley–Papanastasiou model performs better than the models without considering effect of rheological features, which may facilitate the development of quasi-single-phase mixture modeling for debris flows. Full article
(This article belongs to the Special Issue Numerical Modelling of Single and Multi-Phase Flow)
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20 pages, 3997 KiB  
Article
Discrimination between Pore and Throat Resistances against Single-Phase Flow in Porous Media
by Hadi Adloo, Saeed Foshat, Behzad Vaferi, Falah Alobaid and Babak Aghel
Water 2022, 14(7), 1064; https://0-doi-org.brum.beds.ac.uk/10.3390/w14071064 - 28 Mar 2022
Viewed by 1860
Abstract
This study investigates the critical agents that cause non-Darrian flow in porous media. Four porous media different in morphology but similar in topology were studied numerically. By varying the throat diameters, the distinct roles of pores and throats in total dissipation were investigated [...] Read more.
This study investigates the critical agents that cause non-Darrian flow in porous media. Four porous media different in morphology but similar in topology were studied numerically. By varying the throat diameters, the distinct roles of pores and throats in total dissipation were investigated using direct numerical simulation. Forchheimer model was selected to analyze the non-Darcian flow. In our simplified geometry, the ratio KappKD can best be correlated by non-Darcy effect (E). Total dissipation is directly related to the porous medium resistance against fluid flow. The energy dissipated in pores and throats was calculated by summing the dissipation in each computational segment. Pores are more prone to disobey the Darcy model than throats due to irregularity in fluid flow, and they are introduced as the cause of Darcy-model cessation. By increasing the pore-to-throat ratio, the non-Darcian flow in the pores begins sooner. The results show that the energy dissipation due to eddies is negligible. The dissipation in pores and throats was simulated through separate power-law equations, and their exponents were also extracted. The exponent for the pore body is equal to two when the viscous forces are dominant, and it increases by increasing the inertia force. The dissipation due to pore bodies is more apparent when the size of pore and throats are of the same order of magnitude. The relative losses of pore body increase as the velocity increases, in contrast to throats. Full article
(This article belongs to the Special Issue Numerical Modelling of Single and Multi-Phase Flow)
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15 pages, 2146 KiB  
Article
Flow Discharge Prediction Study Using a CFD-Based Numerical Model and Gene Expression Programming
by Sevda Mozaffari, Erfan Amini, Hossein Mehdipour and Mehdi Neshat
Water 2022, 14(4), 650; https://0-doi-org.brum.beds.ac.uk/10.3390/w14040650 - 19 Feb 2022
Cited by 6 | Viewed by 2857
Abstract
The significance of spillways is to allow the flood to be safely discharged from downstream. There is a strong correlation between the poor design of spillways and the failures of dams. In order to address this concern, the present study investigates the flow [...] Read more.
The significance of spillways is to allow the flood to be safely discharged from downstream. There is a strong correlation between the poor design of spillways and the failures of dams. In order to address this concern, the present study investigates the flow over the Nazloo-ogee spillway using the CFD 3D numerical model and an artificial intelligence method called Gene Expression Programming (GEP). In a physical model, discharge and flow depths were calculated for 21 different total heads. Among different turbulence models, the RNG turbulence model achieved the maximum compatibility in computational fluid dynamic simulation. In addition, GEP was used to estimate Q, in which 70% of collected data was dedicated to training and 30% to testing. R2, RMSE, and MAE were obtained as performance criteria, and the new mathematical equation for the prediction of discharge was obtained using this model. Finally, the numerical model and GEP outputs were compared with the experimental data. According to the results, the numerical model and GEP exhibited a high level of correspondence in simulating flow over an ogee-crested spillway. Full article
(This article belongs to the Special Issue Numerical Modelling of Single and Multi-Phase Flow)
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