PERFORMANCE OF THE MULTI-RESOLUTION MULTI-SCALE FINITE VOLUME METHOD FORSOLVING PRESSURE EQUATION IN HIGHLY HETEROGENEOUS POROUS MEDIA

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MOSHARAF DEHKORDI MEHDI

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Journal: Modares Mechanical Engineering Year:2016 | Volume:16 | Issue:8 Page(s): 0-0

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Title

PERFORMANCE OF THE MULTI-RESOLUTION MULTI-SCALE FINITE VOLUME METHOD FORSOLVING PRESSURE EQUATION IN HIGHLY HETEROGENEOUS POROUS MEDIA

Author(s)

MOSHARAF DEHKORDI MEHDI | Issue Writer Certificate

Keywords

POROUS MEDIAQ2

MULTI-RESOLUTION MULTI-SCALE FINITE VOLUME (MRMSFV) METHODQ1

COARSE-SCALE TRANSMISSIBILITYQ1

MONOTONE PRESSURE FIELDQ1

Abstract

In the present study, the incompressible flow through highly heterogeneous POROUS MEDIA is modeled bythe Multi-resolution Multi-scale Finite Volume (MrMsFV) method. In order to focus on the effects ofthe absolute permeability structure on the accuracy and performance of the MrMsFV method, the singlephase flow is considered and the effects of the gravity and variation of fluid viscosity and density areignored. The accuracy of the MrMsFV method is examined by comparing its numerical results withthose of the standard finite volume method. These permeability fields are extracted from the tenthcomparative study problem of the Society of Petroleum Engineering. For the permeability fields inwhich the permeability varies smoothly, it is shown that the MrMsFV method produces acceptableresults. On the other hand, the numerical results along with mathematical analyses show that theMrMsFV method may produce pressure fields with unphysical peaks for channelized permeabilityfields. In these cases sufficient conditions for the monotonicity and boundedness of the solution areviolated. In fact, the coarse scale transmissibilities may be computed in such a way that the coefficientmatrix of the coarse scale pressure equation does not become a so-called M-matrix.

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APA: Copy

MOSHARAF DEHKORDI, MEHDI. (2016). PERFORMANCE OF THE MULTI-RESOLUTION MULTI-SCALE FINITE VOLUME METHOD FORSOLVING PRESSURE EQUATION IN HIGHLY HETEROGENEOUS POROUS MEDIA. MODARES MECHANICAL ENGINEERING, 16(8), 0-0. SID. https://sid.ir/paper/356223/en

Vancouver: Copy

MOSHARAF DEHKORDI MEHDI. PERFORMANCE OF THE MULTI-RESOLUTION MULTI-SCALE FINITE VOLUME METHOD FORSOLVING PRESSURE EQUATION IN HIGHLY HETEROGENEOUS POROUS MEDIA. MODARES MECHANICAL ENGINEERING[Internet]. 2016;16(8):0-0. Available from: https://sid.ir/paper/356223/en

IEEE: Copy

MEHDI MOSHARAF DEHKORDI, “PERFORMANCE OF THE MULTI-RESOLUTION MULTI-SCALE FINITE VOLUME METHOD FORSOLVING PRESSURE EQUATION IN HIGHLY HETEROGENEOUS POROUS MEDIA,” MODARES MECHANICAL ENGINEERING, vol. 16, no. 8, pp. 0–0, 2016, [Online]. Available: https://sid.ir/paper/356223/en

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