Multiscale Modeling



Length Scales Used in Modeling

Pore to Continuum Coupling



Streamline Scale: Direct solution of the equations of motion is the most fundamental type of modeling. It requires a detailed description of the pore structure and a computational technique that can accommodate the complex boundary conditions. Computational demands constrain the physical size of the systems.
Pore Scale: Pore-scale modeling employs approximations to the pore structure and fluid mechanics. The increased computational efficiency allows much larger length scales to be modeled (compared to streamline scale modeling), which is crucial for modeling the discrete-to-continuum transition.
Continuum Scale: Darcy's law or similar equations are used for continuum-scale modeling. While essential for many engineering applications, the drawback is that the continuum scale parameters in these equation usually require empiricism, which creates a disconnect between the model and the governing physics.
Macroscopic Scale: In large-scale simulations (such as geologic applications), significant variation in continuum-scale parameters can exist. Computational techniques such as FEM or FDM allow the domain to be discretized spatially, and parameters are distributed accordingly.


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Cain Department of Chemical Engineering
Louisiana State University, Baton Rouge, LA 70803