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multivariate production systems optimization - Stanford University

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Superscript.<br />

“ Variable is normalized to reservoir bulk volume.<br />

L Liquid phase.<br />

R Reservoir conditions.<br />

S Standard conditions.<br />

T Transpose.<br />

V Vapor phase.<br />

Greek Letters<br />

α Reflection coefficient.<br />

β Expansion coefficient .<br />

ε Absolute pipe roughness; tolerance.<br />

φ Reservoir porosity; Fugacity coefficient.<br />

Φα Mechanical irreversibilities of phase α.<br />

γ Contraction coefficient.<br />

Λ Diagonal matrix of eigenvalues.<br />

μ Marquardt parameter.<br />

μα Viscosity of phase α.<br />

ρ Newton step length.<br />

ρα Density of phase α.<br />

σ Interfacial tension.<br />

ψ Hagedorn and Brown correlating parameter; Roots of cubic equation.<br />

∇ Gradient.<br />

∇. Divergence.<br />

124

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