A unified pipe-network-based numerical manifold method for simulating immiscible two-phase flow in geological media

G. W. Ma, H. D. Wang, L. F. Fan, Y. Chen

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

A unified pipe-network-based numerical manifold method (NMM) is developed to simulate immiscible two-phase flow in a geological medium. Both heterogeneous and non-heterogeneous geological media can be discretized as numerical pipe networks, which have high efficiency and accuracy in simulating fluid and mass transfer in fractured rock masses. A manifold element method is developed to solve the governing equations of immiscible two-phase flow in pipes. The developed NMM can simulate moving and deforming of two-phase flow interface. A grid-based front-tracking method updates the marker points constructing the fluid interface explicitly in each time step. The effectiveness of the NMM is verified through analytical and finite element analysis. Parametric studies are conducted by simulating immiscible two-phase flows with various fluid properties in homogeneous and inhomogeneous geological conditions. The results show that the developed method can efficiently simulate the moving interface of two-phase flow in geological media, including effects such as "viscous fingering", a noteworthy phenomenon in enhanced oil recovery. When the mobility of the driving fluid is larger than that of the driven fluid, the inhomogeneity of the medium can cause the fluid interface to roughen, which increases over time during the process of two-phase flow. For the inverse situation, although the fluid interface remains rough, the roughness variation throughout the process is not prominent.

Original languageEnglish
Pages (from-to)119-134
Number of pages16
JournalJournal of Hydrology
Volume568
DOIs
Publication statusPublished - Jan 2019

Cite this

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title = "A unified pipe-network-based numerical manifold method for simulating immiscible two-phase flow in geological media",
abstract = "A unified pipe-network-based numerical manifold method (NMM) is developed to simulate immiscible two-phase flow in a geological medium. Both heterogeneous and non-heterogeneous geological media can be discretized as numerical pipe networks, which have high efficiency and accuracy in simulating fluid and mass transfer in fractured rock masses. A manifold element method is developed to solve the governing equations of immiscible two-phase flow in pipes. The developed NMM can simulate moving and deforming of two-phase flow interface. A grid-based front-tracking method updates the marker points constructing the fluid interface explicitly in each time step. The effectiveness of the NMM is verified through analytical and finite element analysis. Parametric studies are conducted by simulating immiscible two-phase flows with various fluid properties in homogeneous and inhomogeneous geological conditions. The results show that the developed method can efficiently simulate the moving interface of two-phase flow in geological media, including effects such as {"}viscous fingering{"}, a noteworthy phenomenon in enhanced oil recovery. When the mobility of the driving fluid is larger than that of the driven fluid, the inhomogeneity of the medium can cause the fluid interface to roughen, which increases over time during the process of two-phase flow. For the inverse situation, although the fluid interface remains rough, the roughness variation throughout the process is not prominent.",
keywords = "Immiscible displacement, Moving interface, Unified pipe-network method, Numerical manifold method, Grid-based front-tracking method, FRONT-TRACKING METHOD, FINITE-ELEMENT-METHOD, LEVEL SET METHOD, SEAWATER INTRUSION, POROUS-MEDIA, FLUID, VOLUME, SEEPAGE, MODEL, PROPAGATION",
author = "Ma, {G. W.} and Wang, {H. D.} and Fan, {L. F.} and Y. Chen",
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month = "1",
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language = "English",
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A unified pipe-network-based numerical manifold method for simulating immiscible two-phase flow in geological media. / Ma, G. W.; Wang, H. D.; Fan, L. F.; Chen, Y.

In: Journal of Hydrology, Vol. 568, 01.2019, p. 119-134.

Research output: Contribution to journalArticle

TY - JOUR

T1 - A unified pipe-network-based numerical manifold method for simulating immiscible two-phase flow in geological media

AU - Ma, G. W.

AU - Wang, H. D.

AU - Fan, L. F.

AU - Chen, Y.

PY - 2019/1

Y1 - 2019/1

N2 - A unified pipe-network-based numerical manifold method (NMM) is developed to simulate immiscible two-phase flow in a geological medium. Both heterogeneous and non-heterogeneous geological media can be discretized as numerical pipe networks, which have high efficiency and accuracy in simulating fluid and mass transfer in fractured rock masses. A manifold element method is developed to solve the governing equations of immiscible two-phase flow in pipes. The developed NMM can simulate moving and deforming of two-phase flow interface. A grid-based front-tracking method updates the marker points constructing the fluid interface explicitly in each time step. The effectiveness of the NMM is verified through analytical and finite element analysis. Parametric studies are conducted by simulating immiscible two-phase flows with various fluid properties in homogeneous and inhomogeneous geological conditions. The results show that the developed method can efficiently simulate the moving interface of two-phase flow in geological media, including effects such as "viscous fingering", a noteworthy phenomenon in enhanced oil recovery. When the mobility of the driving fluid is larger than that of the driven fluid, the inhomogeneity of the medium can cause the fluid interface to roughen, which increases over time during the process of two-phase flow. For the inverse situation, although the fluid interface remains rough, the roughness variation throughout the process is not prominent.

AB - A unified pipe-network-based numerical manifold method (NMM) is developed to simulate immiscible two-phase flow in a geological medium. Both heterogeneous and non-heterogeneous geological media can be discretized as numerical pipe networks, which have high efficiency and accuracy in simulating fluid and mass transfer in fractured rock masses. A manifold element method is developed to solve the governing equations of immiscible two-phase flow in pipes. The developed NMM can simulate moving and deforming of two-phase flow interface. A grid-based front-tracking method updates the marker points constructing the fluid interface explicitly in each time step. The effectiveness of the NMM is verified through analytical and finite element analysis. Parametric studies are conducted by simulating immiscible two-phase flows with various fluid properties in homogeneous and inhomogeneous geological conditions. The results show that the developed method can efficiently simulate the moving interface of two-phase flow in geological media, including effects such as "viscous fingering", a noteworthy phenomenon in enhanced oil recovery. When the mobility of the driving fluid is larger than that of the driven fluid, the inhomogeneity of the medium can cause the fluid interface to roughen, which increases over time during the process of two-phase flow. For the inverse situation, although the fluid interface remains rough, the roughness variation throughout the process is not prominent.

KW - Immiscible displacement

KW - Moving interface

KW - Unified pipe-network method

KW - Numerical manifold method

KW - Grid-based front-tracking method

KW - FRONT-TRACKING METHOD

KW - FINITE-ELEMENT-METHOD

KW - LEVEL SET METHOD

KW - SEAWATER INTRUSION

KW - POROUS-MEDIA

KW - FLUID

KW - VOLUME

KW - SEEPAGE

KW - MODEL

KW - PROPAGATION

U2 - 10.1016/j.jhydrol.2018.10.067

DO - 10.1016/j.jhydrol.2018.10.067

M3 - Article

VL - 568

SP - 119

EP - 134

JO - Journal of Hydrology

JF - Journal of Hydrology

SN - 0022-1694

ER -