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\phi_n(p) = \frac{B_o - R_s \, B_g}{1- R_s \, R_v} \cdot F_O 
+\frac{ B_g - R_v \, B_o}{1- R_s \, R_v} \cdot F_G 
+B_w  \, F_W 

\phi_n = \exp \left[ c_\phi \, (p-p_i)  \right] \approx 1 + c_\phi \, (p-p_i)  + 0.5 \, c^2_\phi \, (p-p_i)^2 

F_O = V_e^\phi^{-1} \, \delta \, Q_O + \left[ \frac{s_{oi}}{B_{oi}}  + \frac{R_{vi}\, s_{gi}}{B_{gi}}\right] 

\delta \, Q_O = - Q^{\uparrow}_O

F_G = V_e^\phi^{-1} \, \delta \, Q_G + \left[ \frac{R_{si}\, s_{oi}}{B_{oi}}  + \frac{ s_{gi}}{B_{gi}}\right] 

\delta \, Q_G = Q^{\downarrow}_G - Q^{\uparrow}_G + Q^{\downarrow}_{GCAP}

F_W = V_e^\phi^{-1} \, \delta \, Q_W +  \frac{ s_{wi}}{B_{wi}} 

\delta \, Q_W = Q^{\downarrow}_W - Q^{\uparrow}_W + Q^{\downarrow}_{WAQ}

p(t)  = p_i + \frac{\Delta Q(t)}{V_e\phi \cdot c_t}

p(t)  = p_i \exp \left[ \frac{\Delta Q(t)}{V_e\phi} \right]