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Earth Science Module
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Biot Poroelasticity
The Biot Poroelasticity example two-way couples Darcy's law and the plane strain application modes to assess deformation of porous media that results from fluid withdrawals.
The model builds on top of the Terzaghi Compaction example. Results from Terzaghi compaction and Biot poroelasticity analy...
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Failure of a Multilateral Well
An increasingly common technique to maximize oil production from deep wellbores is to emplace "open" multilateral wells, with multiple legs that branch off of a single conduit. The down side of leaving the well open is a high risk of mechanical failure both during installation and after pumping begi...
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Phase Change
This example demonstrates how to model a phase change and predict its impact on a heat transfer analysis. When a material changes phase, from solid to liquid for instance, energy is added to the solid. Instead of creating a temperature rise, the energy alters the molecular structure of the material....
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Pore-Scale Flow
This non-conventional model of porous media flow utilizes Navier-Stokes equations in the interstices of a porous media. The model comes from the pore-scale flow experiments conducted by Arturo Keller, Maria Auset, and Sanya Sirivithayapakorn of the University of California, Santa Barbara. The geomet...
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Free Convection in a Porous Medium
This example treats the modeling of sub-surface flow where free convection in porous media is analyzed. The results are compared with published literature in the field.
The model couples the momentum balance to an energy balance through an equation, dependant on temperature, being directly typed...
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Electrokinetic and Magnetic Fields Inside a Volcano
This example demonstrates how to model electrokinetic voltages generated by fluid flowing through porous media and the magnetic fields that result from the electric current. Here rainfall infiltrates into the porous conduit of a relatively impermeable volcano edifice. The methods shown here are us...
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Buoyant Darcy Flow: The Elder Problem
This model of buoyancy flow driven by salt concentrations is a benchmark problem originally posed for heat flow by Elder (1967) and recast for solute transport by Voss and Souza (1987). It has been used to benchmark numerous density flow codes including SEAWAT (Guo and Langevin) and SUTRA (Voss)....
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Perforated Well
Analysis of fluid flow into wells often begins with the assumption that the intake fluid is uniform along the entire length of wellbore. This assumption runs into trouble when applied to the modeling of perforated wells. When these wells are emplaced, deep bore hole is lined by impermeable materials...
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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 app...
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Forchheimer Flow
The coupling of free media flow with porous media flow is common in the fields of earth science and chemical engineering.
Perhaps the most common way to deal with coupled free and porous media flow is to incorporate flow described by Darcy’s law with the Navier-Stokes Equations that describes t...
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