Well Flow Models for Various Numerical Methods

Well Flow Models for Various Numerical Methods

Year:    2009

International Journal of Numerical Analysis and Modeling, Vol. 6 (2009), Iss. 3 : pp. 375–388

Abstract

Numerical simulation of fluid flow and transport processes in the subsurface must account for the presence of wells. The pressure at a gridblock that contains a well is different from the average pressure in that block and different from the flowing bottom hole pressure for the well [17]. Various finite difference well models have been developed to account for the difference. This paper presents a systematical derivation of well models for other numerical methods such as standard finite element, control volume finite element, and mixed finite element methods. Numerical results for a simple well example illustrating local grid refinement effects are given to validate these well models. The well models have particular applications to groundwater hydrology and petroleum reservoirs.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2009-IJNAM-773

International Journal of Numerical Analysis and Modeling, Vol. 6 (2009), Iss. 3 : pp. 375–388

Published online:    2009-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    14

Keywords:    Well models petroleum reservoirs aquifer remediation finite difference finite element control volume finite element mixed finite element fluid flow numerical experiments.