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Model ID: 609

Darcy - Brinkman Example

This example model characterizes a transition in flow regimes: slow flow in porous media quickens to a perforation in a well casing and ultimately moves into and up the well.

Darcy’s law describes flow velocities at a distance from the well. Closer to the perforation the Brinkman equations apply. Movement of fluid in the well is described by the Navier Stokes equations.

This example starts with a model that couples Darcy’s law with the Brinkman equations and the Navier Stokes equations (in the wellbore) to produce a fully coupled simulation for three different flow laws.

Close-up view of velocities (shown as surface and contour plots) within and near the well bore. Fluid flow follows Darcy’s law (1 m < r), the Brinkman equations (0.1 m < r < 1 m), and the Navier-Stokes equations (r < 0.1 m). Vertical axis is expanded.

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