Accurate Multiscale Finite Element Methods for Two-Phase Flow Simulations . Efendiev, Y., Ginting, V., Hou, T., & Ewing, R. Journal of Computational Physics , 220(1):155-174, 2006. ![Accurate Multiscale Finite Element Methods for Two-Phase Flow Simulations [link]](https://bibbase.org/img/filetypes/link.svg "link")
Paper doi abstract bibtex In this paper we propose a modified multiscale finite element method for two-phase flow simulations in heterogeneous porous media. The main idea of the method is to use the global fine-scale solution at initial time to determine the boundary conditions of the basis functions. This method provides a significant improvement in two-phase flow simulations in porous media where the long-range effects are important. This is typical for some recent benchmark tests, such as the \SPE\ comparative solution project [M. Christie, M. Blunt, Tenth spe comparative solution project: a comparison of upscaling techniques, \SPE\ Reser. Eval. Eng. 4 (2001) 308–317], where porous media have a channelized structure. The use of global information allows us to capture the long-range effects more accurately compared to the multiscale finite element methods that use only local information to construct the basis functions. We present some analysis of the proposed method to illustrate that the method can indeed capture the long-range effect in channelized media.
@article{Efendiev2006155,
title = "Accurate {M}ultiscale {F}inite {E}lement {M}ethods for {T}wo-{P}hase {F}low {S}imulations ",
journal = "Journal of Computational Physics ",
volume = "220",
number = "1",
pages = "155-174",
year = "2006",
note = "",
issn = "0021-9991",
doi = "10.1016/j.jcp.2006.05.015",
url = "http://www.sciencedirect.com/science/article/pii/S0021999106002269",
author = "Y. Efendiev and V. Ginting and T. Hou and R. Ewing",
keywords = "Multiscale",
keywords = "Finite element",
keywords = "Finite volume",
keywords = "Global",
keywords = "Two-phase",
keywords = "Upscaling ",
abstract = "In this paper we propose a modified multiscale finite element method for two-phase flow simulations in heterogeneous porous media. The main idea of the method is to use the global fine-scale solution at initial time to determine the boundary conditions of the basis functions. This method provides a significant improvement in two-phase flow simulations in porous media where the long-range effects are important. This is typical for some recent benchmark tests, such as the \{SPE\} comparative solution project [M. Christie, M. Blunt, Tenth spe comparative solution project: a comparison of upscaling techniques, \{SPE\} Reser. Eval. Eng. 4 (2001) 308–317], where porous media have a channelized structure. The use of global information allows us to capture the long-range effects more accurately compared to the multiscale finite element methods that use only local information to construct the basis functions. We present some analysis of the proposed method to illustrate that the method can indeed capture the long-range effect in channelized media. "
}
Downloads: 0
{"_id":"kTgPrLcQaHgXaDYdg","authorIDs":["5517e0768039785715000223","5dee6cf9773914de01000191","5defe7cd14db5cdf01000040","5df7a3daf3cb28df0100010d","5dfdf9d8935a0ade01000025","5e5be5eed49321e001000011","7QXiBuTATxo5D68DC","8u4nAZBX3Nvkm5uWQ","9GWb9WEyvCJzuQjcD","9h2mJwBD8fwHxQzN4","EETZPEkFzmbXGbtqj","KGv5qNX2wproMHaMz","P2b2rK9qBBgTnheZ2","WRpBGdMW5fvCQ7yfS","bDRwyrDc8KKyFjHQQ","vSZhCTKZWihxepL88"],"author_short":["Efendiev, Y.","Ginting, V.","Hou, T.","Ewing, R."],"bibbaseid":"efendiev-ginting-hou-ewing-accuratemultiscalefiniteelementmethodsfortwophaseflowsimulations-2006","bibdata":{"bibtype":"article","type":"article","title":"Accurate Multiscale Finite Element Methods for Two-Phase Flow Simulations ","journal":"Journal of Computational Physics ","volume":"220","number":"1","pages":"155-174","year":"2006","note":"","issn":"0021-9991","doi":"10.1016/j.jcp.2006.05.015","url":"http://www.sciencedirect.com/science/article/pii/S0021999106002269","author":[{"firstnames":["Y."],"propositions":[],"lastnames":["Efendiev"],"suffixes":[]},{"firstnames":["V."],"propositions":[],"lastnames":["Ginting"],"suffixes":[]},{"firstnames":["T."],"propositions":[],"lastnames":["Hou"],"suffixes":[]},{"firstnames":["R."],"propositions":[],"lastnames":["Ewing"],"suffixes":[]}],"keywords":"Upscaling ","abstract":"In this paper we propose a modified multiscale finite element method for two-phase flow simulations in heterogeneous porous media. The main idea of the method is to use the global fine-scale solution at initial time to determine the boundary conditions of the basis functions. This method provides a significant improvement in two-phase flow simulations in porous media where the long-range effects are important. This is typical for some recent benchmark tests, such as the \\SPE\\ comparative solution project [M. Christie, M. Blunt, Tenth spe comparative solution project: a comparison of upscaling techniques, \\SPE\\ Reser. Eval. Eng. 4 (2001) 308–317], where porous media have a channelized structure. The use of global information allows us to capture the long-range effects more accurately compared to the multiscale finite element methods that use only local information to construct the basis functions. We present some analysis of the proposed method to illustrate that the method can indeed capture the long-range effect in channelized media. ","bibtex":"@article{Efendiev2006155,\ntitle = \"Accurate {M}ultiscale {F}inite {E}lement {M}ethods for {T}wo-{P}hase {F}low {S}imulations \",\njournal = \"Journal of Computational Physics \",\nvolume = \"220\",\nnumber = \"1\",\npages = \"155-174\",\nyear = \"2006\",\nnote = \"\",\nissn = \"0021-9991\",\ndoi = \"10.1016/j.jcp.2006.05.015\",\nurl = \"http://www.sciencedirect.com/science/article/pii/S0021999106002269\",\nauthor = \"Y. Efendiev and V. Ginting and T. Hou and R. Ewing\",\nkeywords = \"Multiscale\",\nkeywords = \"Finite element\",\nkeywords = \"Finite volume\",\nkeywords = \"Global\",\nkeywords = \"Two-phase\",\nkeywords = \"Upscaling \",\nabstract = \"In this paper we propose a modified multiscale finite element method for two-phase flow simulations in heterogeneous porous media. The main idea of the method is to use the global fine-scale solution at initial time to determine the boundary conditions of the basis functions. This method provides a significant improvement in two-phase flow simulations in porous media where the long-range effects are important. This is typical for some recent benchmark tests, such as the \\{SPE\\} comparative solution project [M. Christie, M. Blunt, Tenth spe comparative solution project: a comparison of upscaling techniques, \\{SPE\\} Reser. Eval. Eng. 4 (2001) 308–317], where porous media have a channelized structure. The use of global information allows us to capture the long-range effects more accurately compared to the multiscale finite element methods that use only local information to construct the basis functions. We present some analysis of the proposed method to illustrate that the method can indeed capture the long-range effect in channelized media. \"\n}\n\n","author_short":["Efendiev, Y.","Ginting, V.","Hou, T.","Ewing, R."],"key":"Efendiev2006155","id":"Efendiev2006155","bibbaseid":"efendiev-ginting-hou-ewing-accuratemultiscalefiniteelementmethodsfortwophaseflowsimulations-2006","role":"author","urls":{"Paper":"http://www.sciencedirect.com/science/article/pii/S0021999106002269"},"keyword":["Upscaling"],"metadata":{"authorlinks":{"ginting, v":"https://bibbase.org/show?bib=https://bibbase.org/network/files/3yQtKfRddpmAbuCJN&msg=preview&fileId=3yQtKfRddpmAbuCJN"}},"downloads":0},"bibtype":"article","biburl":"https://bibbase.org/network/files/3yQtKfRddpmAbuCJN","creationDate":"2015-03-29T11:22:30.094Z","downloads":0,"keywords":["upscaling"],"search_terms":["accurate","multiscale","finite","element","methods","two","phase","flow","simulations","efendiev","ginting","hou","ewing"],"title":"Accurate Multiscale Finite Element Methods for Two-Phase Flow Simulations ","year":2006,"dataSources":["FMKDotGw9QMpa9Abz","x4GJj42ibi69jHYvw"]}