An Experimenting Field Approach for the Numerical Solution of Multiphase Flow in Porous Media
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ArticleAuthors
Salama, Amgad
Sun, Shuyu

Bao, Kai
KAUST Department
Computational Transport Phenomena LabEarth Science and Engineering Program
Physical Science and Engineering (PSE) Division
Date
2015-07-14Online Publication Date
2015-07-14Print Publication Date
2016-03Permanent link to this record
http://hdl.handle.net/10754/579849
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In this work, we apply the experimenting pressure field technique to the problem of the flow of two or more immiscible phases in porous media. In this technique, a set of predefined pressure fields are introduced to the governing partial differential equations. This implies that the velocity vector field and the divergence at each cell of the solution mesh can be determined. However, since none of these fields is the true pressure field entailed by the boundary conditions and/or the source terms, the divergence at each cell will not be the correct one. Rather the residue which is the difference between the true divergence and the calculated one is obtained. These fields are designed such that these residuals are used to construct the matrix of coefficients of the pressure equation and the right-hand side. The experimenting pressure fields are generated in the solver routine and are fed to the different routines, which may be called physics routines, which return to the solver the elements of the matrix of coefficients. Therefore, this methodology separates the solver routines from the physics routines and therefore results in simpler, easy to construct, maintain, and update algorithms.Citation
An Experimenting Field Approach for the Numerical Solution of Multiphase Flow in Porous Media 2015:n/a GroundwaterPublisher
WileyJournal
GroundwaterPubMed ID
26171913Additional Links
http://doi.wiley.com/10.1111/gwat.12353ae974a485f413a2113503eed53cd6c53
10.1111/gwat.12353