Numerical well model for non-Darcy flow through isotropic porous media Academic Article

abstract

• Numerical simulation of fluid flow in a hydrocarbon reservoir has to account for the presence of wells. The pressure of a grid cell containing a well is different from the average pressure in that cell and different from the bottom-hole pressure for the well [17]. This paper presents a study of grid pressures obtained from the simulation of single phase flow through an isotropic porous medium using different numerical methods. Well equations are proposed for Darcy flow with Galerkin finite elements and mixed finite elements. Furthermore, high velocity (non-Darcy) flow well equations are developed for cell-centered finite difference, Galerkin finite element and mixed finite element techniques. Keywords: Forchheimer flow, well models, porous media, finite element, mixed finite element Baltzer Science Publishers BV.

authors

• Lazarov, Raytcho
• Pasciak, Joseph

published proceedings

• COMPUTATIONAL GEOSCIENCES

author list (cited authors)

• Ewing, R. E., Lazarov, R. D., Lyons, S. L., Papavassiliou, D. V., Pasciak, J., & Qin, G.

citation count

• 52

complete list of authors

• Ewing, RE||Lazarov, RD||Lyons, SL||Papavassiliou, DV||Pasciak, J||Qin, G

publication date

• December 1999

publisher

• Springer Nature  Publisher

published in

• Computational Geosciences: modeling, simulation and data analysis  Journal

keywords

• Finite Element
• Forchheimer Flow
• Mixed Finite Element
• Porous Media
• Well Models

Digital Object Identifier (DOI)

• 10.1023/A:1011543412675

start page

• 185

end page

• 204

volume

• 3

issue

• 3-4

URL

• http%3A%2F%2Fdx.doi.org%2F10.1023%2Fa%3A1011543412675