MATHEMATICAL MODEL FOR DARCY FORCHHEIMER FLOW

This work reviewed several scenario where non-Darcy
or non-linearity in flow exists in the reservoir.It
showed the inadequacies inherent in Darcy''s law as a
modeling equation for flow in porous media.
Laboratory experiments were conducted to determine
the criteria for and the onset of non-linear flow in
core samples.It was discovered that non-Darcy flow
will occur in a porous media as long as the pressure
gradients in the porous media is sufficient. The main
determining property for non-linearity is the
permeability of the porous media.
A mathematical equation was developed to model
non-Darcy flow, following standard scientific
procedures. The mathematical model developed was used
to simulate reservoir behavior while considering
Darcy and
non-Darcy flow in the reservoir. COMSOL Multiphysics,
a software used for solving partial differential
equations (PDE) was used for the simulations. The
results were presented, discussed and analyzed for
several reservoir geometries.
The results of this work is useful for reservoir
engineers and production engineers who need to
optimize flow rate and well performance. It will also
be applicable in well diagnosis for remedial action
or work over.

Autorentext

The author was born in Ibadan, Nigeria were he began hiseducational pursuit ultimately graduating from the University ofIbadan. Before coming to Texas Tech he worked with Baker Atlas,Port-Harcourt as a well logging engineer.At Texas Tech he works as a teaching assistant and he has helpedinstruct several petroleum engineering classes and labs.

Klappentext

This work reviewed several scenario where non-Darcy or non-linearity in flow exists in the reservoir.It showed the inadequacies inherent in Darcy's law as a modeling equation for flow in porous media. Laboratory experiments were conducted to determine the criteria for and the onset of non-linear flow in core samples.It was discovered that non-Darcy flow will occur in a porous media as long as the pressure gradients in the porous media is sufficient. The main determining property for non-linearity is the permeability of the porous media. A mathematical equation was developed to model non-Darcy flow, following standard scientific procedures. The mathematical model developed was used to simulate reservoir behavior while considering Darcy and non-Darcy flow in the reservoir. COMSOL Multiphysics, a software used for solving partial differential equations (PDE) was used for the simulations. The results were presented, discussed and analyzed for several reservoir geometries. The results of this work is useful for reservoir engineers and production engineers who need to optimize flow rate and well performance. It will also be applicable in well diagnosis for remedial action or work over.