ICP=2 Function of Pickens

Function of Pickens et al. (1979)

Pcap=P0{ln[AB(1+1B2A2)]}1xP_{cap}=-P_0\left\{ln\left[\frac{A}{B}\left(1+\sqrt{1-\frac{B^2}{A^2}}\right)\right]\right\}^\frac{1}{x}

with

A=(1+Sl/Sl0)(Sl0Slr)/(Sl0+Slr)A = (1 + S_l/S_{l0})(S_{l0} - S_{lr})/(S_{l0} + S_{lr})

B=1Sl/Sl0B = 1 - S_l/S_{l0}

where

P0P_0= CP(1) SlrS_{lr}= CP(2) SloS_{lo}= CP(3) x = CP(4)

Restrictions: 0 < CP(2) < 1 ≤ CP(3); CP(4) ≠ 0