Table 1.

Summary of characteristic equations for constant pressure filtration laws.

Function	n Value	Model	Equation
Complete pore blocking	n = 2	$J=\left(J_o-J_{ss}\right)exp\left(-K_{c}t\right)+J_{ss}$	(4)
Standard pore blocking	n = 1.5	$J={\left(J_o^{-0.5}+K_{s}t\right)}^{-2}$	(5)
Intermediate pore blocking	n = 1	$J=\frac{J_{ss}}{\left[1-\left(\frac{J_{o-}{J}_{ss}}{J_o}\right)\exp \left(-J_{ss}{K}_{i}t\right)\right]}$	(6)
Cake formation	n = 0	$K_{g}t=\frac{1}{{\mathrm{J}}_{\mathrm{ss}}^2}\left[\ln \left(\frac{J}{J_o}\ast \frac{J_o-J_{ss}}{J-J_{ss}}\right)-J_{ss}\ast \left(\frac{1}{J}-\frac{1}{J_o}\right)\right]$	(7)