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Pore-scale permeability prediction for Newtonian and non-Newtonian fluids

Philipp Eichheimer, Marcel Thielmann, Anton Popov, Gregor J. Golabek, Wakana Fujita, Maximilian O. Kottwitz, Boris J. P. Kaus
2019 Solid Earth Discussions  
In recent years, the flow of non-Newtonian fluids through porous media has gained additional importance due to e.g., the use of nanofluids for enhanced oil recovery.  ...  Results show that stencil rescaling significantly increases the accuracy at no additional computational cost.  ...  to compute the permeability of given porous media.  ... 
doi:10.5194/se-2019-84 fatcat:wrqne3trprc7hbtpeshp2d2hki

Pore-scale permeability prediction for Newtonian and non-Newtonian fluids

Philipp Eichheimer, Marcel Thielmann, Anton Popov, Gregor J. Golabek, Wakana Fujita, Maximilian O. Kottwitz, Boris J. P. Kaus
2019 Solid Earth  
In recent years, the flow of non-Newtonian fluids through porous media has gained additional importance due to, e.g., the use of nanofluids for enhanced oil recovery.  ...  Results show that stencil rescaling significantly increases the accuracy at no additional computational cost.  ...  Power-law fluid flow To demonstrate the capability of the code to compute the flow of non-Newtonian fluids through porous media, we computed the average flow velocity v m for a square subsample of the  ... 
doi:10.5194/se-10-1717-2019 fatcat:vixf35tz7jcjjlhklihuna52fm

Temporal Markov Processes for Transport in Porous Media: Random Lattice Networks

Amir H. Delgoshaie, Patrick Jenny, Hamdi A. Tchelepi
2018 Water Resources Research  
Monte Carlo (MC) simulations of transport in random porous networks indicate that for high variances of the log-normal permeability distribution, the transport of a passive tracer is non-Fickian.  ...  Moreover, we show that discrete temporal Markov models can be used to represent dispersion in unstructured networks, which are widely used to model porous media.  ...  Delgoshaie is grateful to Daniel Meyer and Oliver Brenner from the Institute of Fluid Dynamics at ETH Zurich for several helpful discussions and Peter Glynn from the MS&E department at Stanford University  ... 
doi:10.1029/2018wr022735 fatcat:2uuaeuep7vcwdlasmm5z5dnu4i

Semi-Implicit Finite Volume Procedure for Compositional Subsurface Flow Simulation in Highly Anisotropic Porous Media

Sebastián Echavarría-Montaña, Steven Velásquez, Nicolás Bueno, Juan David Valencia, Hillmert Alexander Solano, Juan Manuel Mejía
2021 Fluids  
In this work, we propose a semi-implicit procedure for general compositional flow simulation in highly anisotropic porous media as an extension of TPFA.  ...  Subsurface multiphase flow in porous media simulation is extensively used in many disciplines.  ...  Acknowledgments: Authors thank Universidad Nacional de Colombia for logistic and financial support, and the research group Flow and Transport Dynamics in porous media for their contributions on this work  ... 
doi:10.3390/fluids6100341 fatcat:nt5h72btkffw3blb4lx7lhq44m

Page 2820 of Mathematical Reviews Vol. , Issue 99d [page]

1991 Mathematical Reviews  
(Q)) norm of FEM for a model for compressible miscible displacement in porous media. (English summary) Numer. Math. J. Chinese Univ. (English Ser.) 4 (1995), no. 2, 222-236.  ...  The FEM for a model of compressible miscible displacement in porous media is studied. The model includes molecular diffu- sion and mechanical dispersion.  ... 

Page 626 of American Society of Civil Engineers. Collected Journals Vol. 126, Issue 8 [page]

2000 American Society of Civil Engineers. Collected Journals  
B. (1989) “Numerical simulation of three-dimensional saturated flow in ran domly heterogeneous porous media.” Transport in Porous Media, 4, 549-565 Anderson, E., et al. (1992).  ...  “A numerical investigation of the conjugate gradient method as applied to three-dimensional groundwater flow problems in randomly heteroge neous porous media.” Water Resour.  ... 

DuMu^x 3 – an open-source simulator for solving flow and transport problems in porous media with a focus on model coupling [article]

Timo Koch, Dennis Gläser, Kilian Weishaupt, Sina Ackermann, Martin Beck, Beatrix Becker, Samuel Burbulla, Holger Class, Edward Coltman, Simon Emmert, Thomas Fetzer, Christoph Grüninger (+11 others)
2019 arXiv   pre-print
We present version 3 of the open-source simulator for flow and transport processes in porous media DuMu^x.  ...  Finally, the new framework for multi-domain simulations is described, and three numerical examples demonstrate its flexibility.  ...  of the porous-media-simulator DuMu x (Project No. 391049448).  ... 
arXiv:1909.05052v1 fatcat:rvdvbghtgzfblbd4ewahnfburu

Page 6612 of Mathematical Reviews Vol. , Issue 2000i [page]

2000 Mathematical Reviews  
In the second (finer) scale, we exploit the finite difference stencil in order to make explicit use of the sparsity in the dependence of the output variables to the input variables.  ...  , Pascal (F-PAU-IFP; Pau); Noetinger, Benoit (F-PAU-IFP; Pau); Quintard, Michel Implementation of a finite-volume method for the determination of effective parameters in fissured porous media.  ... 

Smooth Particle Hydrodynamics with nonlinear Moving-Least-Squares WENO reconstruction to model anisotropic dispersion in porous media

Diego Avesani, Paulo Herrera, Gabriele Chiogna, Alberto Bellin, Michael Dumbser
2015 Advances in Water Resources  
We compare the standard SPH with the MWSPH for different a few test cases, considering both homogeneous and heterogeneous flow fields and different anisotropic ratios of the dispersion tensor.  ...  MLS-WENO) reconstruction of concentrations.  ...  In addition, the authors are grateful to the reviewers for the constructive comments, which helped to improve the submitted manuscript.  ... 
doi:10.1016/j.advwatres.2015.03.007 fatcat:okq5sai4vjd3jnt5exq5lxbc5y

Page 4608 of Mathematical Reviews Vol. , Issue 2003f [page]

2003 Mathematical Reviews  
.; Sundararajan, T. (6-IITTM-ME; Chennai) Finite element modelling of flow, heat and mass transfer in fluid saturated porous media. (English summary) Arch. Comput.  ...  procedure for each spatial variable individually.  ... 

Modeling of Surface Waves in a Fluid Saturated Poro-Elastic Medium under Initial Stress Using Time-Space Domain Higher Order Finite Difference Method

Anjana P. Ghorai, R. Tiwary
2013 Applied Mathematics  
It also has been shown that the dispersion curves of Love waves are less dispersed for higher order FDM than of lower order FDM.  ...  As a particular case, the phase velocity in a non porous elastic solid layer derived in this paper is in perfect agreement with that of .  ...  materials as fluid saturated porous media is more realistic.  ... 
doi:10.4236/am.2013.43070 fatcat:5xscglbh4zgwjlkffojwmstbuu

A Semi-implicit Treatment of Porous Media in Steady-State CFD

Andreas Domaingo, Daniel Langmayr, Bence Somogyi, Raimund Almbauer
2016 Transport in Porous Media  
In this paper, we focus on the source terms present in the Navier-Stokes or Euler equations due to porous media-in particular the Darcy-Forchheimer equation.  ...  In this description, the source term is treated in a fully implicit way whereas the other flow variables can be computed in an implicit or explicit manner.  ...  The authors would like to acknowledge the financial support of the "COMET-Competence Centers for Excellent Technologies Programme" of the Austrian Federal Ministry for Transport, Innovation and Technology  ... 
doi:10.1007/s11242-016-0657-3 pmid:27429500 pmcid:PMC4923709 fatcat:pbeqnalplncxlmcx52ziavudgq

High-order simulations of isothermal flows using the local anisotropic basis function method (LABFM) [article]

Jack King, Steven Lind
2021 arXiv   pre-print
We numerically solve the isothermal compressible Navier Stokes equations for a range of geometries: periodic and channel flows, flows past a cylinder, and porous media.  ...  The potential of the method for direct numerical simulations in complex geometries is demonstrated with simulations of subsonic and transonic flows through an inhomogeneous porous media at pore Reynolds  ...  We introduced a stencil optimisation procedure, which improves the wavenumber response of the discrete operators, whilst reducing computational costs.  ... 
arXiv:2102.02019v2 fatcat:yvc4pamlgjdm7bpyq3d7wkme5u

Page 6292 of Mathematical Reviews Vol. , Issue 96j [page]

1996 Mathematical Reviews  
Koch, Manfred (1-FLS-FD; Tallahassee, FL) A mesh-adaptive collocation technique for the simulation of advection-dominated single- and multiphase transport phenomena in porous media.  ...  Numerical simulations on a variety of high Peclet-number transport phenom- ena as they occur in realistic porous media flow situations are presented.  ... 

Simulation of biological flow and transport in complex geometries using embedded boundary/volume-of-fluid methods

David Trebotich
2007 Journal of Physics, Conference Series  
This capability has been used to simulate biological flows in a variety of application geometries including biomedical microdevices, anatomical structures and porous media.  ...  The foundation of this work is a new hybrid fluid-particle method for modeling polymer fluids in irregular microscale geometries that enables long-time simulation of validation experiments.  ...  The surface is then represented on a Cartesian grid with implicit functions, making possible direct simulation in highly packed, irregular microscale geometries (e.g., porous media) with algorithms based  ... 
doi:10.1088/1742-6596/78/1/012076 fatcat:pzmfdq3refcbhll3anvnelinwe
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