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 - <p style="text-align: justify;">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.</p>