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Volume 6, Issue 3
Well Flow Models for Various Numerical Methods

Z. Chen & Y. Zhang

Int. J. Numer. Anal. Mod., 6 (2009), pp. 375-388.

Published online: 2009-06

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  • 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.

  • Keywords

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

  • AMS Subject Headings

65N30, 65N10, 76S05, 76T05

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{IJNAM-6-375, author = {Z. Chen and Y. Zhang}, title = {Well Flow Models for Various Numerical Methods}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2009}, volume = {6}, number = {3}, pages = {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.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/773.html} }
TY - JOUR T1 - Well Flow Models for Various Numerical Methods AU - Z. Chen & Y. Zhang JO - International Journal of Numerical Analysis and Modeling VL - 3 SP - 375 EP - 388 PY - 2009 DA - 2009/06 SN - 6 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/773.html KW - Well models, petroleum reservoirs, aquifer remediation, finite difference, finite element, control volume finite element, mixed finite element, fluid flow, numerical experiments. AB -

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.

Z. Chen and Y. Zhang. (2009). Well Flow Models for Various Numerical Methods. International Journal of Numerical Analysis and Modeling. 6 (3). 375-388. doi:
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