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multivariate production systems optimization - Stanford University

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m(P) Gas pseudopressure.<br />

N Cumulative oil <strong>production</strong>; Dimensionless groups defined by Ros (1961);<br />

Flow regime parameter used by Aziz et al. (1972).<br />

P Pressure; The n-vector of displacement from x; Newton search vector.<br />

Pn Real price of the <strong>production</strong> at the nth time step<br />

PV Present value.<br />

Q Quadratic equation.<br />

Q* Stabilized flow rate determined by nodal analysis.<br />

q Volumetric flow rate.<br />

q Mass flow rate.<br />

R Universal gas constant; Real discount factor.<br />

r* Cost of capital, fraction.<br />

rD Interest rate of debt, fraction.<br />

Re Reynold’s number.<br />

rE Return on equity expected by shareholders, fraction.<br />

re Radius of drainage.<br />

RP Producing gas-liquid ratio.<br />

RS Solution gas-oil ratio.<br />

rS Solution oil-gas ratio.<br />

rw Radius of wellbore.<br />

S Darcy skin; Diameter of bean, 64ths of an inch.<br />

Sα Saturation of phase α.<br />

T Temperature.<br />

TC Corporate tax rate, fraction.<br />

V Volume; Velocity; Specific volume; Vapor mole fraction; Matrix of<br />

eigenvectors.<br />

Vα Velocity of phase α.<br />

VΒ Bulk volume of the reservoir.<br />

VBF Absolute bubble rise velocity.<br />

VBS Bubble rise velocity.<br />

VM Superficial velocity of the mix.<br />

VSα Superficial velocity of phase α.<br />

ωα Acentric factor of phase α.<br />

X Free gas quality; Oil composition.<br />

x n-vector of decision variables.<br />

Contraction point.<br />

xc<br />

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