Multi-scale finite-volume method for use in subsurface flow simulation
A finite-volume, multi-scale technology, applied in the fields of fluid extraction, design optimization/simulation, application-specific simulation process, etc., can solve problems such as error prior estimation
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[0032] I. Mobility issues
[0033] A. Single-phase flow
[0034] Fluid flow in porous media can be described by an elliptic problem:
[0035] on Ω, ▿ · ( λ · ▿ p ) = f - - - ( 1 )
[0036] where p is the pressure, λ is the flow coefficient (permeability K divided by the fluid velocity μ) and Ω is the simulated subsurface volume or region. The source term f represents the well and, in the compressible case, the time derivative. Permeability heterogeneity is a major factor indicative of flow behavior in naturally porous bed rocks. The heterogeneity of permeability K is usually expressed as a complex multiscale function of space. Moreover, the permeability K tends to be a highly discontinuous full tensor. Solving for the space-dependent structure and capturing th...
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